Mathematics: Find the missing angle. Round to the nearest whole degree.

Find the missing angle. Round to the nearest whole

marcoantonioperezpan

30.01.2022

θ = 37°

Step-by-step explanation:

The missing angle is θ

cos θ = 4/5

cosθ = 0.8

Using a calculator:

cos^(-1)(0.8) = 36.86≈ 37°

so θ = 37°

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chavez0

22.01.2021

$12^{\circ}$ $1\ feet\ and$ $94.28\ ft^2$

Step-by-step explanation:

Data provided in the question

The radius of a wheel = 30 feet

Number of cars attached = 30 cars

Based on the above information

The computation is shown below:

The center angle is

$= \frac{360}{30}$

$= 12^{\circ}$

The arc length is

$= \frac{12}{360}(30)$

= 1 feet

And, the area of a sector between two cars is

$= \frac{12}{360}(\pi (30)^2)$

= $94.28\ ft^2$

We simply do the above calculations so that each item could be find out

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