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erastovalidia [21]
3 years ago
10

Assuming that a 90° arc has an exact length of , find the length of the radius of the circle.

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0
If the exact length is s, you have
.. s = r*θ . . . . θ = π/2
.. r = s/θ
.. r = 2s/π

Fill in the exact length for "s" in the formula and compute to find the radius.
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2 years ago
The sum of two numbers is 61. The larger number is 13 more than the smaller number. What are the numbers?
patriot [66]

Answer: 24 and 37

Step-by-step explanation:

Let the numbers be x and y . Also let us pick x as the larger number.

From the first statement :

x + y = 61 ............................ equation 1

From the second statement :

x = y + 13 ............................equation 2

Solving the resulting linear equations by substitution method, substitute x = y + 13 into equation 1, then

x + y = 61 becomes

y + 13 + y = 61

2y + 13 = 61

2y = 48

y = 24

Substitute y = 24 into equation 2 , then

x = y + 3 becomes

x = 24 + 13

x = 37

Therefore the numbers are 24 and 37

5 0
3 years ago
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