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Varvara68 [4.7K]
3 years ago
12

In an endurance race, Alyson rode her bicycle 7 miles less than Jeff. Together they rode 39 miles. How far did Alyson ride?

Mathematics
1 answer:
morpeh [17]3 years ago
5 0

Answer:

Distance cover by Alyson = 16 miles

Step-by-step explanation:

Given:

Distance cover together = 39 miles

Assume;

Distance cover by Jeff = a

Distance cover by Alyson = a - 7

Find:

Distance cover by Alyson

Computation:

a + (a - 7) = 39

2a - 7 = 39

2a = 46

a = 23

Distance cover by Alyson = a - 7

Distance cover by Alyson = 23 - 7

Distance cover by Alyson = 16 miles

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Answer:

141.4 sq cm

Step-by-step explanation:

to find the area of the outer circle with a smaller circle inscribed within, you find the area of each and subtract the smaller area from the larger

the radius of the smaller circle is 2

we have to find the radius of the larger circle so we use what we know about its circumference:

C = 2πr

43.96 = 2πr

21.98 = πr

21.98 / π = r

r ≈ 7 cm

now use r = 7 to find area of larger circle:

A = πr²

A = π49

Area of smaller circle:  4π

Area of larger circle without including inner section is 49π - 4π = 45π

45π ≈ 141.4 sq cm

7 0
3 years ago
Which statement is true about the end behavior of the graphed function?
Art [367]

Answer:

The correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".

Step-by-step explanation:

If we start analyzing this function at a value of x that is really small, which would be close to negative infinity and we increase the value of x, we will notice that the y-value will also increase. Therefore if we go far into the left, that is, we apply minus infinity to the function we will receive an output that is equal to minus infinity. When the value of x approach 0, the value of the function also approaches 0. Finally when we go far into the right, to positive infinity the function will also go to infinity. Therefore the correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".

8 0
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Do you have an image that follows this question?
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The volume of a sphere is 500 3 πcm3. What is the radius? Sphere V = 4 3 πr3 1. Substitute value into formula:  500 3 π = 4 3 πr
Kisachek [45]

Answer:

Radius of the sphere is 5m.

Step-by-step explanation:

We have given the volume of sphere \frac{500}{3}\cdot {\pi}m^3

we have to find the radius of the sphere

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On substituting the given value of volume of sphere we get

\frac{500}{3}\cdot {\pi}=\frac{4}{3}\cdot {\pi}\cdot r^3

After simplification we get:

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7 0
3 years ago
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