Answer: The angles are 30 30, 150, 150
Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles
Answer:
30, 150, 150
Step-by-step explanation:
I need help! PLEASE HELP!!
Answer:
Step-by-step explanation:
P = pizza slices
S= soda drinks
98 = 23*P + 31*S
A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures
Answer:
Step-by-step explanation:
OB = 10 cm
OA = OC = Radius = 4 cm
COS <AB = OA/OB = 4/10 = 2/5 =
COS< COB = OC/OB = 4/10 = 2/5
=> <AOC = <AOB + <COB
=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)
=> <AOC = 2 Cos-¹(2/5)
=> <AOC = 2 * 66.42
=> <AOC = 132.84°
if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm
if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm
Two-Step Equations 2/5x−3=−17
Answer:
x =-35
Step-by-step explanation:
2/5x−3=−17
Add 3 to each side
2/5x−3+3=−17+3
2/5x = -14
Multiply each side by 5/2
5/2 * 2/5x = -14 * 5/2
x = -35
Answer:
x = -35
Step-by-step explanation:
Add 3 to each side, so it now looks like this: 2/5x = -14Divide each side by 2/5 to cancel out the 2/5 next to x. It should now look like this: x = -35I hope this helps!
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
What is the name of the lake located at letter B on the map above? Answer is C :)
Answer:
the answer is C. lake Texoma
hope this helps
What’s the volume of this shape?
Answer:
V=72x³y³
Step-by-step explanation:
The formula to apply is;
V= l * w * h where
V= volume in units cubed.
l= length = 3xy
w=width = 4xy
h= height = 6xy
Substitute values in the formula as;
V= l*w*h
V=3xy * 4xy * 6xy ----find product for the numbers {3*4*6=72} then multiply by the product for x's {x*x*x =x³} that of y's {y*y*y=y³}
V= 72*x³*y³
V= 72x³y³ --------where xy are the units used.
Can anyone please help me with this?
GEOMETRY/EASY PROBABILITY, urgent!
Answer:
2/7, 3/7
Step-by-step explanation:
Total outcomes=7
No. 6 outcomes=2
P(E)= Favourable outcomes/total outcomes
=2/7
Total even no.= 3
∴ P(E)= 3/7
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I went to the grocery store to buy avocados. They were $3 for 4. How much will it cost me for 10?
Answer:
7.50$
Step-by-step explanation:
3+3+1.5=7.50$.
5. It is a method of describing a set, in words.
A. Roster Notation
C. Set Builder Notation
B. Listing Method
D. Verbal Description Method
Answer
There are two common ways of describing or specifying the members of a set: roster notation and set builder notation. These are examples of extensional and intensional definitions of sets, respectively
Q: What is the measure of <8?
A)45
B)55
C)155
D)135
Please needed help asap!
Answer:
your answer should be, D.135
i hope this helps!
Answer:
D) 135
Step-by-step explanation:
--------------- = 180 degrees
It's split and the other half is 45 degrees.
All you have to do is subtract.
180-45=135
<8 = D) 135
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling he has 220 in his bank account before buying the tie write the expression to represent how much money Carson spell on low tide be sure to Define your variable
Given :
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling.
He has $220 in his bank account before buying the tie.
To Find :
Maximum number of ties he can buy.
Solution :
Let, price of buying x ties is y.
y = 19 + (12.50)x
It is given that he has $200 in his bank account.
So, price of buying tie ≤ $200
y ≤ 200
19 + (12.50)x ≤ 200
(12.50)x ≤ 200 - 19
x ≤ 14.48
Since, number of tie cannot be in decimal.
x ≤ 14
Therefore, maximum tie he can buy is 14.
Hence, this is the required solution.
please please please i need help !!!
Answer: Choice B
h(c) = 1 for at least one c between -3 and 4
====================================================
Explanation:
Draw an xy axis system. Plot the points (-3,-1) and (4,2) on this grid. These points come from the fact that h(-3) = -1 and h(4) = 2. These are the endpoints of the h(x) function.
Next, draw horizontal lines through both points. Also, draw vertical lines through the two points as well. A rectangle will form.
The region inside this rectangle is all we care about.
We're told that h(x) has endpoints mentioned earlier, and h(x) is continuous, so that means we have some curve or line through the two points. One such example is shown below. There are infinitely many possible curves to draw out as long as they stay in the rectangle.
----------------------
After you have your h(x) function curve drawn, draw a horizontal line through y = 1 on the y axis. This is the dashed line in the diagram below.
This horizontal line crosses the green h(x) curve at one point or more. In my example, it does so at one point only. However, you could easily draw h(x) so that it crosses y = 1 as many times as you want (just have it squiggle up and down multiple times).
This shows that h(c) = 1 is possible when [tex]-3 \le c \le 4[/tex]. Here c is playing the role of x since it is the input of a function. The h(c) is the output, so that's the y value.
This says that for some input between -3 and 4, it's possible to get an output of 1.
-------------------------
Here's a real world example of the intermediate value theorem.
Let's say the endpoints are A and B, and they are two towns.
The h(x) curve is a road connecting the towns.
To go from A to B, or vice versa, we need to cross over some border that is between the towns. The border in this case is the dashed horizontal line in the diagram.
side note: A special use of the intermediate value theorem is to show that a root exists on some interval (if you know the function changes between positive to negative, or vice versa).
Question 5
3 pts
In 1995, you bought a baseball card for $50 that you expect to increase in value 5% each
year for the next 10 years. Write an exponential growth equation
and
estimate the value of the baseball card in 2002
Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10. She wrote the following to represent the situation with a linear equation. What kind of equation did she use?
Answer: Standard Form
Step-by-step explanation:
In the slope intercept form, you can only solve for one equation at a time.
Ex: y = -2.5x + 15
but when using standard you can easly get the answer for both ticket prices
Ex: 25x + 10y = 150
5r + 2g = 30 is the linear equation that best describes the scenario.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.
Let "r" be the Number of reserved tickets she bought
and "g" be the number of general admission tickets she bought
Money spent od reserved ticket = 25 * r
Money spent in general tickets = 10 *g
Since she totals spent 150$
Thus, the equation will be
25r + 10g = 150
Divide by 5 into both the sides
5r + 2g = 30
therefore, The linear equation that represents the given situation is 5r + 2g = 30.
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Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6
Answer:
a
Step-by-step explanation:
:)
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answer:
Step-by-step explanation:
12 x 8 x 5 = 480/4= 120 minutes or 2 hours
55 > 5x + 5 > -25
pls help
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Help? Find angle psw
An apple juice company produced 8.3 billion individual-size bottles of apple juice last year. If each bottle contains 355 milliliters of juice, how many milliliters of apple juice did the company produce?
Answer:
two trillion nine hundred forty-six billion five hundred million
The company produced 2946.5 billion milliliters.
What is multiplication?Multiplication is a mathematical arithmetic operation.
The process of adding the same number many times is repeated addition.
Multiplication is a repeated addition.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Last year,
a company that makes apple juice produced 8.3 billion bottles of apple juice.
And 355 milliliters of juice occupied by each bottle.
then the company produced,
= 355 x 8.3 billion milliliters,
= 2946.5 billion milliliters.
Therefore, 2946.5 billion milliliters.
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Find the value of x so that line m is parallel to line l.
Answer:
-17
Step-by-step explanation:
The angles are corresponding angles so when the lines are parallel, the lines are equal
3x-12 = 4x+5
Subtract 3x from each side
3x-12 -3x = 4x+5-3x
-12 = x+5
Subtract 5 from each side
-12 -5 = x+5-5
-17 = x
Answer:
-17
Step-by-step explanation:
The two angles that are shown are *corresponding angles* which means they lie in the same spot, just on two different parallel lines. They are congruent angles. Therefore, you should set up an equation to solve for x. Since the two angles are congruent, you should set the expressions equal to each other. 3x-12=4x+5.
PLEASE HELP!! MATH FINAL + NO EXPLANATION NEEDED :))
Answer:
C.
Step-by-step explanation:
A circuit board manufacturer rejects a 100-ohm resistor if its measured resistance is 0.15 ohm or more away from 100 ohms. Resistors A and B are rejected. Resistor A's resistance differs from 100 ohms by +0.15 ohm. Resistor B's resistance differs from 100 ohms by -0.78 ohm. Which resistor has a resistance closer to 100 ohms?
Answer:
Resistor A has a resistance closer to 100
Step-by-step explanation:
Here, we want to know which of the two resistors have a resistance closer to 100 ohms
To know the resistance closer to 100, we need to know the absolute value of the resistances
-0.78 has a resistance of 100 - 0.78 = 99.22
The 15 ohms resistor has resistance of 100 + 0.15 = 100.15
Since 100.15 is closer to 100 than 99.22, due to the absolute value of both, then the +0.15 ohm resistor is closer to 100
What is the equation of this line?
A. y=43x−4
B. y=34x−4
C. y=−4x+34
D. y=−4x+43
Answer:
Y=4/3x - 4
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,
Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3
The y-intercept of the line is -4, therefore, the equation of the line can be written as,
y = mx + c
y = (4/3)x - 4
Hence, the equation of the given line is y=(4/3)x-4.
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a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?
is 27/2 a rational number?
HELP!
x - 13 = 22 linear equations
Answer:
x = 35
Step-by-step explanation:
x - 13 = 22
Add 13 to each side
x - 13+13 = 22+13
x = 35
See attachment for math work and answer.
please help me out!!!
What is the solution of the equation x2=64
find the area of the equilateral triangle.if its perimeter is 24cm
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²