Answers
Answer:
Step-by-step explanation:
[tex]\frac{x}{18} =cot~30\\x=18cot~30=18 \times \sqrt{3} =18\sqrt{3} \\base=36\sqrt{3} \\area~of~triangle=3\times \frac{1}{2} \times36\sqrt{3} \times 18=972\sqrt{3} \approx 1683.55~mm^2[/tex]
Related Questions
The solid below is dilated by a scale factor of 4. Find the volume of the solid created
upon dilation. Answer in terms of TT.
Answer:
units³
3
Submit Answer
Answers
Step-by-step explanation:
the volume of a sphere is
4/3 × pi × r³
the original sphere had a radius of 3.
now, after a dilation of factor 4 the radius is 3×4 = 12.
the volume of that sphere is then
4/3 × pi × 12³ = 4/3 × pi × 1728 = 2304pi
please help me choose which one it is
Answers
The correct statement regarding the relations in this problem is given as follows:
Only relation A could represent a linear relationship.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.From the first bullet point, we have that what classifies a linear relation is a constant rate of change.
For relation K, we have that it is not linear, as:
From x = -7 to x = -4, the rate of change is of 5/3.From x = -4 to x = -2, the rate of change is of 1/2. -> different to 5/3.For relation R, we have that it is linear, as it has a constant rate of change.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
b) The Median and Mode of the following wage distribution are known to be $33.5 and $34 respectively. Three frequency values from the table are, however, missing. Find the missing values. Wages (in $) 0-10 10 - 20 20 - 30 30 - 40 40 - 50 50-60 60-70 Frequencies (f) 10 10 ? ? ? 6 230 repsectively
Answers
The missing values are 60, 100 and 40 if the Median and Mode of the wage distribution are known to be $33.5 and $34 respectively
Wages (in Rs)_freq____ CF
0-10________4___________4
10-20_______16________20
20-30_______x________20+x
30-40______y_________20+x+y
40-50______z________20+x+y+z
50-60______6_______26+x+y+z
60-70______4______30+x+y+z
Since total 230
So, 30+x+y+z=230
x+y+z=200
Mode =34
Median = 33.5
By solving the equations we get x=60, y=100 and z=40
Hence, the missing values are 60, 100 and 40
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ1
The line plot represents the afterschool activities at 15 middle schools.
A horizontal number line starting at 0 and increasing by units of two up to 30. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The title is Afterschool Activities, and the number line is labeled Number of Activities.
Which statement best describes the spread and distribution of the data?
The data is symmetric with an approximate range of 24. The most frequent number of activities was 16, which might mean about half of each class participated.
The data is skewed with an approximate range of 24. The most frequent number of activities was 10, which might mean there are 10 different sports and clubs for middle school students that are the most popular.
The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.
The data is symmetric with an approximate range of 24. The most frequent number of activities was less than 10, which might mean that the schools do not have funding for the activities.
Answers
According to the line plot, the statement that best describes the spread and distribution of the data is "The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.". (option c).
The horizontal number line starts at 0 and increases by units of two up to 30. The dots above the numbers represent the number of schools that offer a certain number of activities. For instance, there is one dot above 4, 6, 14, and 28, which means that only one school offers four activities, one school offers six activities, one school offers 14 activities, and one school offers 28 activities.
Based on this line plot, we can conclude that the data is not symmetric because there is not an equal number of dots on either side of the plot. Therefore, we can rule out the first and fourth options.
We can observe that there are more dots on the left-hand side of the plot, indicating that there are more schools that offer fewer activities. Additionally, the most frequent number of activities is 16, which means that about half of the schools offer this number of activities.
Furthermore, we can estimate the range of the data to be approximately 24, as the number line goes up to 30, and the highest number of activities offered by any school is 28.
Hence the correct option is (c).
To know more about line plot here
https://brainly.com/question/29573088
#SPJ1
Need help on this classwork
Answers
Answer: 9
Step-by-step explanation: volume is l x w x h, so 9 x 9 x height = 729
9 x 9 = 81, so 81 x height = 729
by dividing 729 / 81, you get 9
Answer: The answer is H=9.
The reason of this is because the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
Hence,
We can see that thats the answer because volume is l x w x h, so 9 x 9 x height = 7299 x 9 = 81, so 81 x height = 729by divide 729 / 81, you get 9
To learn more about this visit,
https://brainly.com/question/31635580?referrer=searchResults
Step-by-step explanation: Please give Brainliest.
Hope this helps!!!!
I can answer more questions if you want.
The discussion above offers a third tip for saving money on purchases. Write a short paragraph, consisting of 125 words or more, that applies these techniques to purchasing a television.
Answers
When we create a budget for television purchase as a technique, this can help you avoid overspending and ensure that you stay within your means.
How to save money when purchasing a Television?It is best to ensure we you are purchasing a television that meets your needs and is within your budget. We can look for reviews, compare prices and features of different models to make an informed decision.
One can also try to purchase during sales, holidays and special events which is when retailers offer discounts and promotions.
Finally, when we create a budget, this can help you avoid overspending and ensure that you stay within your means. By setting a limit on how much you're willing to spend, you can focus on finding the best deal within your budget.
Full question "The discussion above offers a third tip for saving money on purchases which is create a budget. Write a short paragraph, consisting of 125 words or more, that applies these techniques to purchasing a television".
Read more about budget
brainly.com/question/6663636
#SPJ1
SOLVE ASAP!!
On the same coordinate plane, mark all points (x, y) that satisfy each rule.
a) y= -3-x
b) y= x-3
c) y= 3x+2
d) y= 3x-2
e) y= -3x+2
(SHOW COORDINATE PLANE GRAPH)
(WILL AWARD BRAINLIEST)
Answers
The point that satisfies y = -3-x is (0,-3), the point that satisfies y = x-3 is (0,-3), the point that satisfies y = 3x+2 is (0,2), the point that satisfies y = 3x -2 is (0,-2), the point that satisfies y = -3x+2 is (0,2). The graph is shown below.
To find the points that satisfy the equation y = -3 - x, we can substitute different values of x and solve for y.
When x = 0, y = -3 - 0 = -3, so one point is (0, -3).
When x = 1, y = -3 - 1 = -4, so another point is (1, -4).
When x = -1, y = -3 - (-1) = -2, so another point is (-1, -2).
By repeating this process for different values of x, we can find more points that satisfy the equation.
To find the points that satisfy the equation y = x - 3, we can again substitute different values of x and solve for y.
When x = 0, y = 0 - 3 = -3, so one point is (0, -3).
When x = 1, y = 1 - 3 = -2, so another point is (1, -2).
When x = -1, y = -1 - 3 = -4, so another point is (-1, -4).
To find the points that satisfy the equation y = 3x + 2, we can once again substitute different values of x and solve for y.
When x = 0, y = 3(0) + 2 = 2, so one point is (0, 2).
When x = 1, y = 3(1) + 2 = 5, so another point is (1, 5).
When x = -1, y = 3(-1) + 2 = -1, so another point is (-1, -1).
To find the points that satisfy the equation y = 3x - 2, we can once again substitute different values of x and solve for y.
When x = 0, y = 3(0) - 2 = -2, so one point is (0, -2).
When x = 1, y = 3(1) - 2 = 1, so another point is (1, 1).
When x = -1, y = 3(-1) - 2 = -5, so another point is (-1, -5).
To find the points that satisfy the equation y = -3x + 2, we can once again substitute different values of x and solve for y.
When x = 0, y = -3(0) + 2 = 2, so one point is (0, 2).
When x = 1, y = -3(1) + 2 = -1, so another point is (1, -1).
When x = -1, y = -3(-1) + 2 = 5, so another point is (-1, 5).
To know more about graph here
https://brainly.com/question/14357381
#SPJ4
Jacob biked 10 miles in 45 minutes at this rate how far would he bike in 4.5 hours in hours how many hours would it take him to hike 90 miles create a proportion to represent these situation and solve
Answers
Answer:60, 6.75
Step-by-step explanation:
To solve the first prompt, we must create an equality statement.
[tex]\frac{10}{45}=\frac{x}{270}[/tex] X being the distance he can go in 4.5 hours.
In order to have came up with 270, we needed to take 4.5 hours and turn it into a measure of minutes to correspond to the minute value of 45.
This is found by multiplying 4.5 by 60.
Now that we have this done, we can cross multiply the equality statement.
[tex]10\cdot270=45x[/tex]
Simplify the first side
[tex]2700=45x[/tex]
Divide both sides by 45
[tex]\frac{2700}{45}=\frac{45x}{45}[/tex]
[tex]60=x[/tex]
This means that Jacob can bike 60 miles in 4.5 hours.
For the second prompt, we need to find how long it would take for him to bike 90 miles given the amount of time it took for him to bike 10 miles.
We can use an equality statement like this:
[tex]\frac{45}{10}=\frac{x}{90}[/tex]
Now we cross multiply:
[tex]45\cdot90=10\cdot x[/tex]
Simplify:
[tex]4050=10x[/tex]
Now we can divide both sides by 10.
[tex]\frac{4050}{10}=\frac{10x}{10}[/tex]
[tex]405=x[/tex]
This means that it would take Jacob 405 MINUTES to bike 90 miles.
To turn this into a measure of hours, we need to divide 405 by 60, which comes out to 6.75.
It would take Jacob 6.75 hours to bike 90 miles.
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 25 pounds each. The small boxes weigh 50 pounds each. There are 105 boxes in all. if the truck is carrying a total of 3,875 pounds in boxes, how many of each type of box is it carrying?
Answers
We then do the same for the smaller boxes (of which there will be S): 50 * S = Total weight contributed by small boxes
Since these are equal to each other, we can write them as an equation: 25L=50S or 25/50=S/L
Dividing both sides by 50 gives us S/(50)=(25/50)L or 1/4L=1/2S
Multiplying both sides by 4 solves for L, giving us L=16; so the truck has 16 large boxes. Similarly, dividing each side of this equation by 4 yields s=4; so the truck also carries 4 small boxes.
What is the radius of X?
Answers
The radius of the diameter X is 6cm. Option D
How to determine the radius
To determine the radius of the circle, we have;
It is important to that the formula for diameter
The formula for calculating the diameter is given as;
d = r/2
Such that the parameters are given as;
d is the diameter of the circle.r is the radius of the circle.From the information given, we have that;
Diameter, d = 12cm
Now, we have to substitute the values
Radius =diameter/2
Radius = 12/2
Radius = 6cm
Learn more about circles at: https://brainly.com/question/24375372
#SPJ1
Help please on this one i need help
Answers
∠ AFE is supplementary to ∠ AFB and the measure of ∠ AFE = 102⁰.
option A.
What is a supplementary?Supplementary angles are the two angles that sum up to 180 degrees.
That is, if the sum of two angles is equal to 180 degrees, then the two angles are supplementary.
From the given diagram we can form the following equation;
∠ AFE + ∠ AFB = 180 (sum of angles on a straight line is equal to 180⁰ )
∠ AFE = 180 - ∠ AFB
∠ AFE = 180 - 78
∠ AFE = 102⁰.
Learn more about supplementary angles here: https://brainly.com/question/12919120
#SPJ1
Examine the equation below used for determining the capital gain made on a stock.((900)(12.55)-(900)(12.55)(.01))-(900)(8.14)+25)=3,831.05
Answers
This capital gain problem that can be modelled using this equation is one that relates to the price of a stock or share.
How can the problem be crafted?It can be writen as follows.....
Suppose that one purchased 900 shares of a stock at a price of $ 12.55 per share .
After a year, the stock price rose to $ 13.25 per share, but you sold the shares at a price of $8. 14 per share due to financial difficulties.
You also incurred a transaction cost of $25.
What is the capital gain or loss made on the stock?
given the above question, if we solved for for the problem, we would get....
Solving for x, we get:
((900 )(x )-(900 )(x)(.01))-(900) (x-4) +25)
= 15,740
Simplifying this expression, we get:
(0.99900x) - (36 x 900) + 25
= 15,740
0.99900 x = 15,655
x = 17.39
Therefore, the current stock price is $17.39
Learn more about Capital Gain:
https://brainly.com/question/27880977
#SPJ1
Full Question:
1. Examine the equation below used for determining the capital gain made on a stock. Look through this chapter and your notes to help you write a problem that could be modeled by this equation.
.((900)(12.55)-(900)(12.55)(.01))-(900)(8.14)+25)=3,831.05
explicit formula for an, the nth term of the sequence 6, 0, -6, ....
Answers
Answer:
12 - 6n
Step-by-step explanation:
As this sequence decreases, rather than increases, this tell us that the nth term of this sequence will be minus. The difference from 6 and 0 is 6, telling us that the decrease is by 6 each time. So now we know the nth term of this sequence; -6n, but the sequence of -6n is -6,-12,-18 and so on. We need 6,0,-6. To find out the second part of the nth term find the difference from the sequence given and the sequence of -6n. The difference is 12 because the 6--6 = 12. So now we get the nth term of the sequence -6n + 12 which is written as 12-6n.
Nth term = a1 + d(n-1)
= 6 + -6(n-1)
= 6 - 6n + 6
= 12-6n
Drag and drop to complete the proof below:
Given: DE←→
is tangent to circle C, at point F
Prove: ∠FEC and ∠ECF are complementary
Answers
To complete the proof below, we have;
<EFC is right angle; definition of a right angle
m<EFC = 90 degrees; definition of a tangent line
m<EFC + m<FEC + m<ECF = 180; Triangle sum theorem
90° + m<FEC + m<ECF = 180; Substitution property of equality
m<FEC + m<ECF = 90; Subtraction property of equality
<FEC + <ECF are complementary angles; definition of complementary angles
How to match the statementsTo match the statement with their corresponding equations, we need to know the following;
The sum of the angles in a triangle is 180 degreesThe measure of the angle at right angle is 190 degreesComplementary angles are pair of angles that sum up to 90 degreesLearn more about angles at: https://brainly.com/question/25716982
#SPJ1
Problem 3
Draw the pictures to compute 1 ÷ 11 in a base ten system, and show the answer is 0.09.
Answers
The result of 1/11 in the base 10 system is given as is 0.09.
How to solveTo visualize the long division of 1 ÷ 11 in a base ten system:
Set up the long division: 11 outside and 1.00 inside the division bracket.
Place the decimal point in the quotient above the dividend's decimal point.
Bring down the first digit (0) and divide 11 into 10; it goes 0 times.
Subtract the product (0) from 10, leaving 10.
Bring down the next digit (0) and divide 11 into 100; it goes 9 times.
Subtract 99 from 100, leaving a remainder of 1.
The result is 0.09.
Read more about base ten here:
https://brainly.com/question/26668177
#SPJ1
Pls help
The shape below contains a triangle and a semi circle.
Round your response to two decimal places.
What is the perimeter of the shape above?
What is the area of the shape above?
Answers
The perimeter of the shape above is 22.22 units
the area of the shape above is 26 square units
How to determine the valuesWe can see from the diagram shown, that the shape is made up of a semicircle below and a triangle above.
Now, the formula for calculating the area of a triangle is expressed as;
A = 1/2bh
Such that the parameters are;
A is the areab is the base h is the height of the triangleNow, substitute the values
Area = 1/2 × 7 ×6
Multiply the values
Area = 42/2
Area = 26 square units
The formula for perimeter of a triangle is;
Perimeter = (a + b + c)
Perimeter = 6 + 7 + 9. 22
Add the values
Perimeter = 22. 22 units
Learn about triangles at: https://brainly.com/question/1058720
#SPJ1
Corellian Engineer needs to develop a new navigation system for its YT-1300 Freighter. They opened the process to competitive bids. The best bid gave the following numbers. (All numbers in millions).
Working -
Total cost estimate for thos project = Programming + Beta Testing + Installation + Final shake down.
= 5,000 + 3,500 + 2,000 + 7,000
= 17,500.
the total cost estimate for this project is $17,500.
What process did Corellian use for this estimate? Choose one.
1.Top down (Macro)
2.Balanced
3.Bottom up (Micro)
4.OMG, my head hurts
Answers
Corellian Engineer used the Bottom up (Micro) approach to estimate the total cost of developing a new navigation system for its YT-1300 Freighter. The total cost estimate of $17,500. So, the correct option is C).
The process that Corellian used for this estimate is the Bottom up (Micro) approach, which involves estimating costs for each component or task in the project and then summing them up to get the total cost estimate.
In this case, they estimated the costs for programming, beta testing, installation, and final shake down, and then added them up to get the total cost estimate of $17,500.
So, the correct answer is C).
To know more about navigation system:
https://brainly.com/question/13894678
#SPJ1
Find the volume of the composite solid. Round your answer to the nearest hundredth.
6 ft
-12 ft
The volume is about
cubic feet.
Answers
(4/3) Pi r^3 -formula for sphere\/\/\/
2/3 Pi r^3- formula for hemisphere*
Going to use these two, substitute and add together
Cone- 144 pi
Hemisphere- 144pi
Cone + hemisphere =288pi OR about 904.78
A normal distribution has a mean of 85.5 and a standard deviation of 4.8 to find the data value corresponding to the value of the given
Answers
The data value corresponding to z = 0.55 is approximately 87.6075.
How to solve for the data valueTo find the data value corresponding to a given z-score, we need to use the formula:
z = (x - μ) / σ
where z is the standard score, x is the data value, μ is the mean, and σ is the standard deviation.
Rearranging this formula, we get:
x = z * σ + μ
Substituting the given values, we get:
x = 0.55 * 4.85 + 85.3
x = 87.6075
Therefore, the data value corresponding to z = 0.55 is approximately 87.6075.
Read more on normal distribution here:https://brainly.com/question/4079902
#SPJ1
A normal distribution has a mean of 85.3 and a standard deviation of 4.85. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z = 0.55
The graph below shows a company's profit tox), in dollars, depending on the price of erasers x, in dollars, sold by the company
300+10x)
270
240
210-
180
150
120
90
60
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x-1 tox-4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answers
The x-intercepts represent a zero profit.
The maximum value of the graph represents the maximum profit.
How to explain the informationThe function increases up till the vertex and decreases after it.
This means that the profit increases as it reaches the peak at the vertex.
It decreases after the vertex up till it reaches zero.
On the left of the first zero and on the right of the second zero, the profits are negative.
An approximate average rate of change of the graph from x = 3 to x =5 represents the reduction in profit from 3 to 5
Learn more about intercept on
https://brainly.com/question/1884491
#SPJ1
The base of a parallelogram has a length of 10xm what is the height?
Answers
The height of this parallelogram include the following: B. 12 cm.
How to calculate the area of this parallelogram?In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:
Area of a parallelogram, A = b × h
Where:
b represents the base area of a parallelogram.h represents the height of a parallelogram.By substituting the given parameters into the formula for the area of a parallelogram, we have the following;
Area of a parallelogram = 10 × 12
Area of a parallelogram = 120 cm².
Read more on parallelogram here: brainly.com/question/4459854
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
I need help with this problem
Answers
Answer:
0.375
Step-by-step explanation:
nd the interest on the loan using the Banker's ru P = $4800, r= 8.8%, t = 105 days! The interest on the loan using the Banker's rule
Answers
The interest on the loan using the Banker's Rule is $139.20.
How to find the interest on the loan using the Banker's ruleThe formula for calculating interest using the Banker's Rule is:
Interest = Principal x Rate x Time / 360
where:
Principal is the amount of the loan
Rate is the interest rate as a decimal
Time is the time period in days
Using this formula, we can calculate the interest on the loan as:
Interest = 4800 x 0.088 x 105 / 360
Interest = 139.20
Therefore, the interest on the loan using the Banker's Rule is $139.20.
Learn more about interest at https://brainly.com/question/25793394
#SPJ1
The growth of a colony of bacteria is modeled by the function below, where t is the
is time in hours after the culture is begun and f(t) is the number of bacteria present.
After how many hours will there be 2000 bacteria in the colony? Round your answer
to the nearest hundredth (two decimal places).
f(t) = 500e^0.195t
Answers
namely, what is "t" when f(t) = 2000
[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{f(t)}{2000}=500e^{0.195t}\implies \cfrac{2000}{500}=e^{0.195t}\implies 4=e^{0.195t} \\\\\\ \log_e(4)=\log_e\left( e^{0.195t}\right)\implies \log_e(4)=0.195t\implies \ln(4)=0.195t \\\\\\ \cfrac{\ln(4)}{0.195}=t\implies 7.11\approx t[/tex]
The volume of 1,000 drops of a liquid is 10 fluid ounces. What is the volume of 10 drops?
Answers
Answer:
0.1 oz
Step-by-step explanation:
1000=10 oz
10 drops
1000/100=10
10/100=O.1 oz
You save $8,500.00. You place 40% in a savings account earning a 4.2% APR compounded annually and the rest in a stock plan. The stock plan decreases 3% in the first year and increases 7.5% in the second year.
A. What is the total gain at the end of the second year for both accounts combined?
B. If you had invested 60% in the savings account and the rest in the stock plan, what is the difference in the total gain compared to the original plan?
Answers
The total gain at the end of the second year for both accounts combined is $509.09.
We have,
Amount saved = $8500
40% of 8500 is saved in saving account = 0.4 x 8500 = $3400
Remainder amount in stock plan = 8500 - 3400 = 5100
Working for savings plan
A = P(1 + r/n[tex])^{nt[/tex]
A = 3400(1 + 0.042/1)²
A = $3691.60
So, we gain = 3691.6 - 3400 = $291.6
Working for stock plan:
The stock plan decreases 3% in the first year
= 5100 x 0.97
= $4947
and increases 7.5% in the second year.
= 4947 x 1.75
= $5318.03
So, we gain = 5318.03 - 5100 = $218.03
Thus, the total gain is
= 291.06 + 218.03
= $509.09
Learn more about Compound Interest here:
https://brainly.com/question/14295570
#SPJ1
Triangles ABC and DEF are mathematically similar. 9 Cm B The area of triangle ABC is 34 cm. Calculate the area of triangle DEF. F 13.5 cm
Answers
Answer:
Since the triangles are similar, their corresponding sides are in proportion. The ratio of sides AB to DE is 9:13.5, which simplifies to 2:3. Therefore, the ratio of their areas is the square of the ratio of their sides, which is 4:9.
If the area of triangle ABC is 34 cm, then the area of triangle DEF is:
Area of DEF = (Area of ABC) x (DE^2/AB^2) = 34 x (13.5^2/9^2) = 34 x 1.5^2 = 34 x 2.25 = 76.5 cm^2
Therefore, the area of triangle DEF is 76.5 cm^2.
Step-by-step explanation:
Problem 5:
Find the missing side using
trigonometry:
52
18 H
AWO
Drag&Drop the correct trig function:
Cos
Tan
Rati
Circle which shortcut you use.
Multiply
Round your answer to the nearest tenth:
Give Feedback to Micrones
Sin
%
or
IN
Divide
Ans
Ans
Answers
The missing length is 11.0818 unit.
We have,
Angle = 52 degree
H = 18
Using Trigonometry
cos 52 = B/H
cos 52 = x / 18
0.615661 = x /18
x = 11.0818 unit
Thus, the missing length is 11.0818 unit.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ2
The price of 7 citrons and 9 fragrant wood apples is 135 units. The price of 9 citrons and 7 fragrant wood apples is 137 units. Find the price of a citron and the price of a wood apple.
The price of a citron is :
The price of a wood apple is :
Answers
Let's assume the price of a citron is "x" units and the price of a fragrant wood apple is "y" units.
From the given information, we can form two equations:
7x + 9y = 135 ...(1)
9x + 7y = 137 ...(2)
We can solve this system of equations using the elimination method. Multiplying equation (1) by 9 and equation (2) by 7, we get:
63x + 81y = 1215 ...(3)
63x + 49y = 959 ...(4)
Subtracting equation (4) from equation (3), we get:
32y = 256
y = 8
Substituting the value of y in equation (1), we get:
7x + 9(8) = 135
7x + 72 = 135
7x = 63
x = 9
Therefore, the price of a citron is 9 units and the price of a fragrant wood apple is 8 units.
Ana's lawn is shaped like a square with an area of 224.9 .
Which measurement is closest to the side length of his lawn in feet?
Answers
The square root of 224.9 is approximately 14.99 feet.
Therefore, the measurement closest to the side length of Ana's lawn in feet is 15 feet.