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padilas [110]
4 years ago
11

Find the measure of each labeled angle.

Mathematics
1 answer:
aleksklad [387]4 years ago
8 0

Answer:

<A=100°

<B=80°

<C=65°

Step-by-step explanation:

Angles on a straight line add up to 180.

<A+<B=180°

This means that:

3x - 20 + 2x = 180

We group similar terms to get:

3x + 2x = 180 + 20

Combine the similar terms to get:

5x = 200

Divide both sides by 5 to get:

x = 40

m\angle \: A = 3(40)  - 20 = 120 - 20 = 100 \degree

m \angle \: B = 2(40) = 80 \degree

m\angle C=2(40) - 15 = 80 - 15 = 65 \degree

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A swimming pool has a radius of 8 feet and a height of 5 feet. The swimming pool is shaped like a cylinder. What is the volume o
Eva8 [605]

Answer:

1005cm³

Step-by-step explanation:

8² x 3.14 = 200.96 = surface area of face

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4 0
4 years ago
Read 2 more answers
REINFORCE Tickets to the zoo cost $18 for adults and $8.25 for children. One day, the zoo sold 2,300 tickets and collected $30,1
jenyasd209 [6]

Given:

The cost of adults ticket = $18

The cost of children's ticket = $8.25

Total tickets = 2300

Total revenue = $30,168.

To find:

The number of children and number of adults attended the zoo that day.

Solution:

Let x be the number of children and y be the number of adults.

Equation for tickets: x+y=2300                  ...(i)

Equation for revenue: 18x+8.25y=30168        ...(ii)

Plot the graphs of the given equations on a coordinate plane as shown below.

From the graph it is clear that the graph of both equations intersect each other at (1148,1152).

It means the number of adults is 1148 and the number of children is 1152.

It can be solved algebraically as shown below:

Substitute the value of y in (ii) from (i).

18x+8.25(2300-x)=30168

18x+18975-8.25x=30168

9.75x=30168-18975

9.75x=11193

Divide both sides by 9.75.

x=\dfrac{11193}{9.75}

x=1148

Putting x=1148 in (i),  we get

1148+y=2300

y=2300-1148

y=1152

Therefore, the number of adults is 1148 and the number of children is 1152.

8 0
3 years ago
What is the period of the function y=tan (n/4(x-n/3)? 3 units 4 units 6 units 8 units
viva [34]

Answer:

8

Step-by-step explanation:

The function u given me is

\tan( \frac{\pi}{4} (x -  \frac{\pi}{3} ) )

The period of a function is represented by

\frac{2\pi}{ |b| }

where b is the coefficient of the x variable.

The coefficient is pi/4 so

\frac{2\pi}{ \frac{\pi}{4} }  = 8

8 is the answer.

8 0
3 years ago
The volume of a sphere is given by V = (4/3)πr3 , where r is the radius. what is the formula in terms of r
guajiro [1.7K]
 the answer is r = ∛(3V/4Π)
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3 years ago
In circle p, st = 30 ft. what is the circumference of the circle? 45p ft 15p ft 10p ft 30p ft
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The answer to this question is:

<span>In circle p, st = 30 ft. what is the circumference of the circle?
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5 0
3 years ago
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