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3 years ago

Find the surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet.

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

Answer: 996 ft2

Step-by-step explanation:

<u>Add up the area of all 6 sides of the prism:</u>

(10 · 13) + (10 · 13) + (10 · 16) + (10 · 16) + (16 · 13) + (16 · 13)

= 130 + 130 + 160 + 160 + 208 + 208

=996 ft²

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1. A line passes through the point (2, k) and (4k, 5) and has a slope of 1/2 . Find the value of k.

Doss [256]

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{k})\qquad (\stackrel{x_2}{4k}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{k}}}{\underset{run} {\underset{x_2}{4k}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}} \\\\\\ 10-2k=4k-2\implies 10=6x-2\implies 12=6k\implies \cfrac{12}{6}=k\implies 2=k$

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3 years ago

What is the product of (2x-7) and (3x + 3)?

eduard

<h3>✒️EVALUATION </h3>

==================================

$\large\sf\underline{Problem:}$

What is the product of (2x-7) and (3x + 3)?

A. 6x2 + 15x-21
B. 6x2 - 15x - 21
C. 6x2 + 15x + 21
D. 6x2 - 15x + 21

==================================

$\large\sf\underline{Answer:}$

$\qquad \qquad \huge \rm Letter\:B.$

*Please read and understand my solution. Don't just rely on my direct answer*

==================================

$\large\sf\underline{Solution:}$

Here we have the given choices:

A. 6x2 + 15x-21
B. 6x2 - 15x - 21
C. 6x2 + 15x + 21
D. 6x2 - 15x + 21

Solve this equation using the distributive property,where you multiply each term to get the number.

$\begin{gathered} \rm2x - 7 = \boxed{ 6} \: \bigg| \small\boxed{\: 6 {x}^{2} } \\ \rm (7)(3) = \boxed{21} \bigg | \boxed{\: 21 x} \\ \\ \qquad \rm6x^{2}+(6x- 21x)-21 \\ \qquad \boxed{ \rm6 {x}^{2} + 15x - 21}\end{gathered}$

Therefore, the correct option is letter B.

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3 0

2 years ago

Which statements are true for the functions g(x) = x^2 and h(x) =-x^2? Check all that apply

Sloan [31]

Answer:

h(x) is the NEGATIVE of g(x)

Step-by-step explanation:

Where are the statements? Please share them next time.

h(x) is the NEGATIVE of g(x): h(x) = -x^2 = -g(x)

6 0

3 years ago

3. The winner of the Biggest Loser lost .952 ounce per hour. Convert this to pounds per week<br>

Darya [45]

Answer:

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Step-by-step explanation:

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3 years ago

How to find the area of a rectangle that is 2 4/5 feet by 3 1/4 feet

Harman [31]

Answer:

by simply multiplying these 2 dimensions.

9.1 ft²

Step-by-step explanation:

2 4/5 × 3 1/4 = (14/5) × (13/4) = (14×13) / (5×4) =

= (7×13) / (5×2) = 91/10 = 9.1 ft²

8 0

3 years ago