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gtnhenbr [62]
3 years ago
15

A circle has a circumference of 150 meters. What is the measure of its radius? Round

Mathematics
2 answers:
egoroff_w [7]3 years ago
7 0

Answer:

23.9

Step-by-step explanation:

circumference = Diameter · Pie

150 = X · pie

divide both sides by pie(use the accrual symbol on a calc) and you get 47.7 as the diameter then divide 47.7 by 2 and you get 23.9 as you radius

kupik [55]3 years ago
4 0

Answer:

2\pi \times \: r = 150 \\ 6.2831r = 150 \\  \frac{6.2831r}{6.2831}  =  \frac{150}{6.2831}  \\ r = 23.87cm

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Answer:

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3b) The measure of ∠ H T M = 90°

3c) The radius of the circle = 53

Step-by-step explanation:

3a) ∵ A F is a tangent to the circle O at point F

∵ Secant AH intersects circle O at point T

∴ (A F)² = (A T)(A H)

∴ 7( x + 7) = (21)² ⇒ ÷ 7

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3b) ∵ HM is a diameter

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∵ ∠ H T M is inscribed angle subtended by the arc HM

∴ m ∠ H T M = half the measure of arc HM

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3c) ∵ Δ H T M is a right angle triangle at T

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∴ (H M)² = (90)² + (56)²

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4 0
3 years ago
N is a positive integer.Explain why n(n-1) must be an even number.
V125BC [204]

Answer:

n and (n - 1) are consecutive integers.

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This 'n' can either be odd or even.

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Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.

Case II:

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Then n - 1 is odd.

Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.

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Answer:

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