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GrogVix [38]
3 years ago
12

Calculate the volume and total surface area​

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

Below.

Step-by-step explanation:

a. Volume =  area of triangular side * length

1/2 * 3 * 4 * 8

= 48 cm^3.

Surface area =  2 * area of the triangle + area of sloping side+ area of the base + area of the back side

= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8

=  12 + 40 + 24 + 32

= 108 cm^2.

b.  Volume = area of the triangular side * length

= 1/2 * 5.0 * 5..0 * 8.2

= 12.5 * 8.2

= 102.5. cm^3.

Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee

=  2 * 1/2 * 5^2 + 2 * 5 * 8.2 +  8.2 * 7.1

= 25 + 82 + 58.22

= 165.22 cm^2.

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1. If AABC SADEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct
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Answer:

x=9

Step-by-step explanation:

<u><em>The correct question is</em></u>

If Triangle ABC is congruent with triangle DEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct  value of x?

we know that

If two triangles are congruent, then their corresponding sides and their corresponding angles, are congruent

In this problem

The corresponding sides are

AB and DE

AC and DF

BC and EF

The corresponding angles are

∠A and ∠D

∠B and ∠E

∠C and ∠F

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AB≅DE

AC≅DF

BC≅EF

and

∠A≅∠D

∠B≅∠E

∠C≅∠F

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BC≅EF

substitute the given values

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Solve for x

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x=9

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F ( x ) = 2 ( x − 5 ) − ( 3 x + 1 ) , find f ( − 15 ) ,
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Answer:4

Step-by-step explanation:if you replace each "x" in the equation with the given x (-15) then it should go as such:

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Then simplify

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Answer:

\text{(a) }\$10,080,\\\text{(b) }\$11,289.60,

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Since interest is compounded annually, the amount of money the account has after n years is given by y=9,000\cdot 1.12^n.

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9,000\cdot 1.12^1=\boxed{\$10,080}

(b) After 2 years, n=2:

9,000\cdot 1.12^2=\boxed{\$11,289.60}

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