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marta [7]
3 years ago
9

Find the surface area of the prism 8mm 13mm 7mm

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

The surface area of the prism is S = 502 mm^2

Step-by-step explanation:

Given:

Length of the prism = 8mm

Width of the prism = 13mm

Height of the prism =  7mm

To Find:

The surface area of the prism = ?

Solution:

Surface area of a prism is given by

S =2 ( lw + wh + hl )

Substituting the values we get,

S = 2[(8\times 13 )+ (13 \times7) + (7\times 8)]

S = 2[(104 )+ (91) + (56)]

S = 2(251)

S = 502 mm^2

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Find the 17th term in the sequence for which a1 = 10 and d = -3.
yKpoI14uk [10]

Answer:

d. -38

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is as follows:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

In this question:

a_{1} = 10, d = -3

17th term:

a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38

So the correct answer is:

d. -38

6 0
4 years ago
Essential: Solve the proportions<br> step by step ​
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Answer:

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Step-by-step explanation:

Given that,

A) \frac{2r-2}{7r+10} = \frac{9}{8}

Now,

\frac{2r-2}{7r+10} = \frac{9}{8}

8(2r-2)=9(7r+10)

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-16-90=63r-16r

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-106=47r

r=\frac{-106}{47}

B) \frac{x+4}{9} = \frac{3(x-2)-1}{5}

Now,

\frac{x+4}{9} = \frac{3(x-2)-1}{5}

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x=\frac{83}{32}

6 0
4 years ago
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lora16 [44]

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Step-by-step explanation:

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8 0
3 years ago
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WARRIOR [948]

Answer:

a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.

Step-by-step explanation:

6 0
3 years ago
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Volgvan

Answer:

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Step-by-step explanation:

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5 0
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