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Sunny_sXe [5.5K]
3 years ago
10

Each base of a triangular prism is a right triangle with side lengths 3 inches, 4 inches, and 5 inches. The height of the prism

is 7 inches. What is the surface area of the prism?
Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0
Well, each base has 3*4/2=6 square inches. The lateral faces have 3*7, 4*7 and 5*7 as areas, totalling 12*7=84 square inches on the sides. The bases which total 12 sq. in. are added to the sides to get a total surface area of 96 square inches.
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1 pt) If a parametric surface given by r1(u,v)=f(u,v)i+g(u,v)j+h(u,v)k and −4≤u≤4,−4≤v≤4, has surface area equal to 1, what is t
natta225 [31]

The area of the surface given by \vec r_1(u,v) is 1. In terms of a surface integral, we have

1=\displaystyle\int_{-4}^4\int_{-4}^4\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv

By multiplying each component in \vec r_1 by 5, we have

\dfrac{\partial\vec r_2(u,v)}{\partial u}=5\dfrac{\partial\vec r_1(u,v)}{\partial u}

and the same goes for the derivative with respect to v. Then the area of the surface given by \vec r_2(u,v) is

\displaystyle\int_{-4}^4\int_{-4}^425\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv=\boxed{25}

8 0
3 years ago
The next four digits in the number 0.3435363738394041 are
Vera_Pavlovna [14]
<h3>The pattern is 0.01+</h3>

<u>So the next 4 digits are:</u>

<h3>0.4243</h3><h3></h3>

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3 0
3 years ago
Write a proof for the following
anastassius [24]

Answer:

What will help is labeling the diagram with the given info..A proof always ends with the statement you have to prove.

Step-by-step explanation:

STATEMENT..............REASON

1) ∠F≅∠C             1) Given

2) E is the midpoint of GD     2) Given

3) GE≅ED       3) If a point is a midpoint then 2 ≅ segments are formed

4) FE≅EC        4)   Same as 3

5)∠G≅∠D     5)  

6) FG≅CD       6)

I tried my best with step 5 and 6..but you know step 6 has to be the prove statement but i don't know what the reason would be. I hope i helped a bit though.

4 0
4 years ago
Can someone help me?
Fed [463]

Answer:

sorry bruv wish you the best i will pray for you

Step-by-step explanation:

7 0
3 years ago
Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.
V125BC [204]

Answer: 1 and 4 are correct

Step-by-step explanation: good luck!

7 0
3 years ago
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