Mathematics, 08.10.2019 07:30, noeltan12031

Find the surface area of the composite solid. round the answer to the nearest hundredth

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answered: erin2077

135.39

Step-by-step explanation:

The solid consist of 4 triangles and a 5 rectangles.

Formula to calculate area of triangle is

1/2 (height) (base)

Formula to calculate area of rectangle is

length x width

Total surface area of the composite solid is

2( 4(4) + 6(4) + 1/2(√13)(4) + 1/2(2√2)(6) ) + 6(4)

111.39 + 24

135.39

answered: humphreybrittany42

Total area = 135 .39 square yard

Step-by-step explanation:

Given : composite figure.

To find : Find the surface area of the composite solid. Round the answer to the nearest hundredth.

Solution : We have given a composite figure with rectangle base and four triangles .

Base of two triangle = 4 yd .

Height of two triangle = √13 yd .

Base of other two triangle = 6 yd .

Height of other two triangle = 2√2 yd .

Area of rectangle = length * width .

Area of rectangle = 6 *4

Area of rectangle = 24 square yard .

Area of all rectangle = 3 *24 = 72 square yard

Area of two square = 2( 4*4) = 32 square yard.

Area of triangle = $\frac{1}{2} base * height$ .

Area of triangle= $\frac{1}{2} 4 *√13$ .

Area of triangle = 2√13 .

Area of two triangle = 2 * 2√13 .

Area of two triangle = 4√13 square yard.

Area of other triangle = $\frac{1}{2} 6 * 2√2$ .

Area of other triangle = 3* 2√2

Area of other triangle = 6√2.

Area of other two triangle = 2 *6√2.

Area of other two triangle = 12√2 square yard.

Total area = Area of 3 rectangle + Area of two triangle + Area of other two triangle + area of square

Total area = 72 + 4√13 + 12√2 + 32

Total area = 135 .39 square yard.

Therefore, Total area = 135 .39 square yard.

answered: Guest

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like, however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

$\bf e(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad f(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-2}{)}\implies \implies \cfrac{-2}{0+2}\implies \cfrac{-2}{2}\implies -1 \\\\[-0.35em] ~\dotfill$

$\bf d(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad f(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{)}{)}\implies \cfrac{0+1}{0+2}\implies \cfrac{1}{2} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope~of~ef}{-1\implies \cfrac{-1}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{1}\implies 1}}$

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

answered: Guest

drop out of school or go to quizlet, quizlet is better

step-by-step explanation:

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Find the surface area of the composite solid. round the answer to the nearest hundredth
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