Answer:
area of land purchased =247
The area of the land Rachel purchased is approximately 10,055.64 square feet.
How to calculate the area?We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.
To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.
Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".
We know that the area of a triangle is given by the formula:
Area = (1/2) x base x height
So, we can rearrange this formula to solve for the height:
height = 2 x Area / base
Now we can substitute in the values we know:
Area = 8,712 square feet
base = unknown
height = unknown
We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:
base = 2s
We can use the Pythagorean theorem to find the height in terms of s:
s² + (h)² = (2s)²
s² + h² = 4s²
h² = 3s²
h = s x √(3)
Now we can substitute this expression for the height in terms of s into the formula we derived for the area:
Area = (1/2) x base x height
Area = (1/2) x 2s x s x √(3)
Area = s² x √(3)
We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:
s² x √(3) = 8,712
s² = 8,712 / √(3)
s = √(8,712 / √(3))
Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:
base = 2s
base = 2 x √(8,712 / √(3))
Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:
Area = (1/2) x base x height
Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))
Area = 2 x 8,712 / √(3)
Area = 17,424 / √(3)
Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.
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Solve for :
8x - 3 = 5 (2x + 1)
Answer:
x = -4
Step-by-step explanation:
8x-3=5(2x+1)
8x-3=10x+5
-3=2x+5
-8=2x
-4=x
Max ran 15 meters, this morning. this afternoon, he ran 48 meters how many more meters did he run this afternoon.
Jesse fixed 40 desserts for a catering event.
Of these, 3/5 had chocolate. How many desserts did NOT have chocolate?
Answer: 16
Step-by-step explanation:
40 / 5 = 8 = 1/5 of 40
8 × 3 = 24 = 3/5 of 40
40 - 24 = 16
Simon began a weight-loss program. He loses weight every two weeks. His weight, in pounds, t months after he began the weight-loss program, is shown by the following expression.
210(0.94)2t
Which statement below best describes the base, 0.94?
A. Simon's weight before he beganm the weight-loss program
B.the rate which Simon loses weight
C. the monthly decrease in Simon's weight
D. the numbers of times Simon has lost weight since he began the weight-loss program
Evaluate and reduce:
-
- 1+ ( 12 )
Enter the number that belongs in the
green box.
? ]
Answer:
Step-by-step explanation:
Taking LCM, =48
[tex]\frac{-12}{16}[/tex]× [tex]\frac{3}{3}[/tex] + [tex]\frac{11}{12}[/tex]×[tex]\frac{4}{4}[/tex]
=[tex]\frac{-36+44}{48}[/tex]
=8/48
=1/6
52x16 please add explaining to show me how to do it
Answer: 832
Step-by-step explanation:
Below is how I solved it
You do 2 times 6, then 2 times 10, then 6 times 50, then 50 times 10. Make a table!
2 x 6 = 12
2 x 10 = 20
6 x 50 = 300
50 x 10 = 500
500 + 300 + 20 + 12 = 832
52 x 16 = 832
Which fraction is equivalent to 2/6?
Answer:3/9
Step-by-step explanation: 2/6=1/3. And 1/3x3=3/9
If a shoe company has $1 million in fixed costs, its average shoe sells for $50 a pair, and variable costs are $30 per unit, how many units does the company need to sell to break even? (Show work)
Answer:
s
Step-by-step explanation:
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HARRY I NEED HELP FAST 15POINTS
Which expressions are quadratic expressions? Check all that apply
z^2
2x + 7x - 10
2x^2 + 9x - 7
500(0,25)^t -1
13x^3 + 21x^2-5
Answer:
First,Third Only
Step-by-step explanation:
Quadratic expression are those expression where the variable has a degree of maximum 2 and only the first and third expression have the degree of 2 in the choices. 2nd choice is a linear expression because both the variables have degree 1. 4th choice has a degree of t which means its an exponential expression, and 5th choice has the degree 2 and 3 but the maximum degree is 3 so it isn't a quadratic is a cubic equation.
Standard form of a quadratic expression
[tex]ax^2+bx+c[/tex]
A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?
If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.
What is meant by cubic decimeter?1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.
1 cubic meter = 1000 liters
because, 1 liter = 1 decimeter³
1 meter = 10 decimeters
1 decimeter= 0.1 meters
1 liter = 0.1³ meter³
1 m³ = 1000 liters
Given:
In 1 hour the amount of water filled = 500 cubic meters
In half an hour the amount of water filled = 250 cubic meters
= 250,000 liters.
Therefore, 250,000 liters of water exists filled in the pool in half an hour.
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$8000 is compounded semiannually at a rate of 7% for 20 years.
how to rotate a triangle 90 dagrees clockwise?
Answer:
Turn it 90 degrees left or right, basically turn it left or right until it is sideways
If 125% of x is 225, what is the value of x?
Answer: 180
Step-by-step explanation: Try to find what 1% is, so do: 225/125, then you have 1%, now multiply that by 100 to find x. Your answer is 180.
A liquid solution is slowly leaking from a container. The graph shows the milliliters of solution, y, remaining in the container after x minutes.
How many minutes will it take for the container to empty if the solution continues leaking at the same rate? Show your work or explain how you know.
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
Read the problem in the box below. Make a list to help you find the correct
answer.
Radio listeners were asked to call in and pick their
two favorite rodents. The listeners had 4 choices:
Woodchuck, Prairie dog, Beaver and Chipmunk.
Which of the following is the complete list of the
possible pairs of rodents?
A. WP, PW, WC, PB, PC, BP
0 0
B. WP, WB, WC, PB, PC, BW
C. WP WB, WC, PB, PC, BC
D. WP CB, WC, CP, PC, BC
Answer:
C. WP WB, WC, PB, PC, BC
Step-by-step explanation:
List the possible combinations. (With no duplicates)
WP, WB, WC
PB, PC
BC
Now check your options for the answer with the combinations you had.
That is your answer.
Give the 10th term of the following sequence:
1, 4, 7. 10
Answer:
28
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
A family on vacation took a road trip to Florida. Use the table to determine whether an equation in the form y=ke can be written for the situation. Explain your answer.
Answer:
No. Since the value of the ratio
is not the same for each pair of values, the relationship is not proportional. So, an equation cannot be written for the situation. its c
Step-by-step explanation:
Can someone please help me?
Answer:
232.05
Step-by-step explanation:
find out how much it started out with
so divide 46dollars and 50 cents by 3
then you'll have 15dollars and 5 cents
now you know thats how much earned at first you multiply by 15 and you get the answer above
good luck
Which expression is equivalent to the given expression after using the distributive property? 9(x + 3) + 15x
9 · x + 9 · 3 + 9 · 15x
9(x + 3 + 15)x
9 · x + 3 + 15x
9 · x + 9 · 3 + 15x
Answer:
9 • x + 9 • 3 + 15x
Step-by-step explanation:
You have to divide 9 by each term inside the parenthesis. 15x isnt multiplied or added to anything else so it stays the same.
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.9 × 105 words.
Samuel can type 2.9 × 105 words in
hours and
minutes.
Answer:
Samuel can type 40 words per minute
Step-by-step explanation:.
Then how many hours will it take for him to type 2.6 words times 10 to the power of five words
=> 2.6 words time 10 to the power of 5
=> 2.6 x 10^5
=> 2.6 x 100 000
=> 260 000 words in all.
Now, we need to find the number of words Samuel can type in a hour
=> 40 words / minutes , in 1 hour there are 60 minutes
=> 40 x 60
=> 2 400 words /hour
Now, let’s divide the total of words he need to type to the number of words he can type in an hour
=> 260 000 / 2 400
=> 108.33 hours.
PLEASE NEED HELP!!
ASAPPP
Answer:
Its the third option.
Step-by-step explanation:
No, all points on the line are solutions of the equation.
Answer:
answer the last yes because all the points meet
Step-by-step explanation:
3y + 7 - y = 5 + 2y + 2
Help me easy math problem
Answer:
15/36
Step-by-step explanation:
Answer:
51/39 then simplify
Step-by-step explanation:
I did it
Pls help i dont understand :( will give Brainliest + 25 Points
Miss Sherman hired Michael to make balloon animals for the children who visited a carnival Michael was paid a base fee of $100 plus a fee of $1.50 per balloon animal made if Michael was paid $295 how many balloon animals did Michael make?
Answer:
130 balloons.
Step-by-step explanation:
295-100=195$
195÷1.50=130 balloons.
Pls help i dont understand :( Will give brainliest + 25 Points!!
Answer:
Answer is A
Step-by-step explanation:
The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.
Answer:
A) y=-5/6+1
Step-by-step explanation:
You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:
y=-5/6x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-4). When x of the line is 6, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).
So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.
The equation of the line that passes through the point (6,-4) with a slope of -5/6
is
y=-5/6x+1
What is the solution to the equation 5 (n- 1/10) = 1/2
Answer:
n = 0.2
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 5n - 0.5 = 1/2Add 0.5 to each side, so it now looks like this: 5n = 1Divide each side by 5 to cancel out the 5 next to n. It should now look like this: n = 0.2I hope this helps!
Answer:
The answer isnt 0.2 for me it is eaither n=0, n=1/5, n=3/25, or n=13/5
Step-by-step explanation:
what is the value of the expression below (4 * 7) - [(10 * 2 ) - 1 ]
Answer:
9
Step-by-step explanation:
im kinda dumb here ... need help again
Answer:
with what lol
Step-by-step explanation:
Answer:need me points
Step-by-step explanation:
A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?
(1 Point)
Answer:
20
Step-by-step explanation:
because 4x5 equals 20