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nikitadnepr [17]
3 years ago
12

Find the surface area of a rectangular prism with length 7 m, width 5 m, and height 3 m.

Mathematics
2 answers:
elena55 [62]3 years ago
8 0

Answer: The surface area is 142m^2

Step-by-step explanation:

-The formula:

A = 2(wl+hl+hw)

-Solve:

A = 2 (5 × 7) +2 (3 × 7) + 2 (3 × 5)

A = 10 × 7 + 6 × 7 + 6 × 5

A = 70 + 6 × 7 +6 × 5

A = 70 + 42 +6 × 5

A = 112 + 6 × 5

A = 112 +30

A = 142

Therefore, the surface area of a rectangular prism is 142 m ^2.

Anastasy [175]3 years ago
3 0

Answer:

142 meters

Step-by-step explanation:

As= 2(lw+lh+wh)

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Find the point P on the line y=2x that is closest to the point (20,0) .what is the least distance between pans (20,0)?
Vsevolod [243]
The closest point on a line, to another point, will be a point that's on a normal of that line, or a line that is perpendicular to it, notice picture below

so, y = 2x, has a slope of 2, a perpendicular line to it, will have a slope of negative reciprocal that, or \bf 2\qquad negative\implies -2\qquad reciprocal\implies \cfrac{1}{-2}\implies -\cfrac{1}{2}

so, we know that line passes through the point 20,0, and has a slope of -1/2

if we plug that in the point-slope form, we get \bf y-0=-\cfrac{1}{2}(x-20)\implies y=-\cfrac{1}{2}x+10

now, the point that's on 2x and is also on that perpendicular line, is the closest to 20,0 from 2x, thus, is where both graphs intersect, as you can see in the graph

thus  \bf 2x=-\cfrac{1}{2}x+10  solve for "x'

------------------------------------------------------------

not sure on the 2nd part, but sounds like, what's the distance from that point to 20,0, well, if that's the case, just use the distance equation

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ \square }}\quad ,&{{ \square }})\quad 
%  (c,d)
&({{ \square }}\quad ,&{{ \square }})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}


6 0
3 years ago
Pls help these are due TODAY!!!!
Tamiku [17]

Answer:

10

Step-by-step explanation:

the two triangles formed from c are similar which means the sides are proportional

the proportion of one length of a side of a triangle to a similar side of the other triangle is the same as another side to its corresponding side of the other triangle. god im bad explaining stuff

anyway 2 is to 8 what 2.5 is to length BC. 2/8 = 2.5/x

    -crossmultiplyyy

2*x = 2.5*8

2x = 20

2x/2 = 20/2

x = 10

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Fed [463]

Answer:

x= 2 and y= -1

Step-by-step explanation:

x=7 +5y

14+16y=−2

y=−1

Substitute y=-1y=−1 into x=7+5yx=7+5y.

x=2

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Answer:

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Arada [10]

Answer:

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Step-by-step explanation:

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See attached picture.

6 0
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