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3 years ago

How would I solve this. If you answer I will give brainliest.

Mathematics

1 answer:

kobusy [5.1K]3 years ago

5 0

Answer:

∠ QPR = 64.5°

Step-by-step explanation:

The chord- chord angle QPR is half the sum of the arcs intercepted by the angle and its vertical angle, then

∠ QPR = $\frac{1}{2}$ (QR + ST ) = $\frac{1}{2}$ (98 + 31)° = 0.5 × 129° = 64.5°

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3 years ago

If 1 inch is 500 miles, then 4 inches is how many miles?

tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

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This can be rewritten as:

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3 years ago

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A go-cart racetrack has 100-meter straightaways and semicircular ends with diameters of 40 meters. Calculate the average speed i

emmainna [20.7K]

Answer:

Average speed of go cart is 217.07 meters per minute.

Step-by-step explanation:

We are given the following in the question:

Length of straightway racetrack = 100 m

Diameter of semicircular end = 40 m

Radius =

$r = \dfrac{d}{2} = \dfrac{40}{2} = 20\text{ m}$

Perimeter of racetrack =

Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle

$=\pi r + 2(100) + \pi r\\=2\pi r + 2(200)\\=(2\times 3.14\times 20) + 200\\=325.6\text{ m}$

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$s = \dfrac{\text{Distance}}{\text{Time}}\\\\s = \dfrac{4\times \text{Perimeter of track}}{6}\\\\s = \dfrac{4\times 325.6}{6}\\\\s = 217.06\text{ meter per minute}$