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2 years ago

What is the area of the unshaded part of the following composite figure? Round your answer to the nearest tenth.

Mathematics

2 answers:

Vaselesa [24]2 years ago

8 0

It’s B. Multiply the triangle and subtract the rectangle. 15.1 x 10.3 / 2 = 77.765. 2.8 x 6.5 = 18.2. 77.765-18.2= 59.565 = 59.6

Inessa05 [86]2 years ago

6 0

I think the answer is C. 18.2

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3 years ago

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skad [1K]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the formula to use

Using the cosine rule which states that:

$z^2=x^2+y^2-2xy\cos Z$

STEP 2: Write the given sides

$x=4,y=6,Z=41^{\circ},z=?$

STEP 3: Find the value of z

$\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}$

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