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Ainat [17]
2 years ago
13

Find the length of the radius. Assume that lines which appear to be tangent are tangent.

Mathematics
1 answer:
aleksley [76]2 years ago
3 0

The Answer Is 7.5

Tangent and 8 makes a right triangle, which is great because you could find the diameter and divide it by 2 to find the radius.

64+d^2=289

d^2=225

d=15

15/2=7.5

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Robert stands atop a 1,380-foot hill. He climbs down, reaching the bottom of the hill in 30 minutes. What is Robert’s average ra
VLD [36.1K]
Before we calculate we can use some common sence thinknig to narrow down the choices. We know that Robert is gonig DOWN the hill, so it doesnt make sence that he woudl have a positive rate of change (i.e. the number feet up the hill he is is decreasing, not increasing) So right away, A & B are clearly wrong.

If we look at the last two (C & D) we can see that if -460 were right after 10 minutes he would have walked down 4,600 feet. This is WAY more that the total height of the hill and so can't be correct.

So C must be correct.

We can check this with some simple math:
rate = \frac{end-start}{time} = \frac{0ft-1380ft}{30mins}= -46\frac{ft}{min}
6 0
3 years ago
James has 1/10 yard of blue felt and 5/6 yard of green felt.
Alina [70]

Answer:

3\4 yard

Step-by-step explanation:

5\6 - 1\10

= 11\15

= 0.73

and 3\4

= 0.75

SO..

3\4 yard is the most accurate

8 0
2 years ago
Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagon
ollegr [7]

Answer:

<h2>The cup can hold 240π cubic centimeters of water.</h2>

Step-by-step explanation:

Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

17^{2} =15^{2} + d^{2}

Solving for d, we have

289 - 225 = d^{2} \\d=\sqrt{64} \\ d=8

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.

The volume of a cylinder is defined as

V= \pi r^{2} h

Where r is the radius and h is the height. Replacing values, we have

V= \pi \times 4^{2} \times 15 =\pi \times 16 \times 15\\V=240\pi \ cm^{3}

Therefore, the cup can hold 240π cubic centimeters of water.

8 0
2 years ago
PLEASE I BEG SOMEONE TO HELP
boyakko [2]

Answer:

16 + 3n

Step-by-step explanation:

a = 19 ;  common difference = 22 - 19 = 3

a(n) = a + (n -1 ) *d

      = 19 + (n-1)*3

      = 19 + 3n - 3

      = 16 + 3n

4 0
2 years ago
A square pyramid is sliced so that the cross section is perpendicular to its base. The cross section intersects the vertex of th
Artist 52 [7]
<span>The cross section of the shape is a triangle. 

So B.triangle should be your answer

Hoped this helped :D</span>
8 0
3 years ago
Read 2 more answers
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