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2 years ago

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The side lengths of the base of this right triangular prism are 3 ft, 4 ft, and 5 ft. The height of the prism is 9 ft. What is t

he total surface area of the prism in square feet? Enter your answer in the box.

1 answer:

Sladkaya [172]2 years ago

5 0

Answer:

480

Step-by-step explanation:

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What is the area of the figure in the picture above?

jek_recluse [69]

The square area is 6*6=36
For the two triangles, the area is base*height/2 = 6*3 = 18.
So the total area is 18+36+18=72

4 0

4 years ago

A line passes through (9, –9) and (10, –5).Write an equation for the line in point-slope form.

Ket [755]

bearing in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-9)}{10-9}\implies \cfrac{-5+9}{1}\implies \cfrac{4}{1}\implies 4$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-9)=4(x-9)\implies\underline{y+9=4(x-9)} \\\\\\ y+9=4x-36\implies y=4x-45\implies \stackrel{standard~form}{\underline{-4x+y=-45}}$

quick note:

the "x" must not have a negative coefficient for the standard form, though in this case it shows like so in the inappropriate choices above.

5 0

3 years ago

Which is the last operation when evaluating

Afina-wow [57]

subtraction [BODMAS 'S' comes last which means subtraction]

hope it helps...

7 0

2 years ago

Read 2 more answers

Solve the equation for b: A= (1/2)(b)(h)

fiasKO [112]

Answer:

2A/h = b

Step-by-step explanation:

A= (1/2)(b)(h)

Multiply each side by 2

2A = 2*1/2 *b*h

2A = bh

Divide each side by h

2A/h = bh/h

2A/h = b

5 0

3 years ago

Read 2 more answers

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

3 years ago