Can someone help me with this one please? Also give me the steps. Thanks :)

Mathematics

1 answer:

11Alexandr11 [23.1K]4 years ago

7 0

Okay, so lets look at the right triangle portion of the question. We can use the trigonometric ratios in order to find side a, which is opposite of the 32 degree angle.

We have three options, SOH CAH and TOA.

We will use SOH, or sine opposite over hypotenuse because we are trying to find the opposite side and we have the hypotenuse length.

So we set it up as Sin(32) = X/17. Multiple both sides by 17 to solve for X

You end up with X = 9 cm (when rounded)

Meaning that the measure of side a is about 9 cm

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Tems11 [23]

Answer:

As Per Provided Information

We have to use π = 3.14

Diameter of baseball is 3 inch

So, Radius of Baseball will be

Radius = Diameter/2

Radius = 3/2 inch

Radius = 1.5 inch

we have been asked to determine the surface area of given baseball .

Using Formulae 

 $\boxed {\bf \: Surface \: Area_{(Baseball)} \: = 4 \pi {r}^{2} }$ 

substituting the value and let's solve it

$\longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = 4 \times 3.14 \times {1.5}^{2} \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 4 \times 3.14 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 12.56 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 28.26 \: {inch}^{2}$