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Hunter-Best [27]
3 years ago
12

What is the surface area of the prism A. 812 B. 1,190 C. 2,352 D. 132

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

B. 1,190 square cm

Step-by-step explanation:

For given prism:

l = 16 cm, w = 7 cm, h = 21 cm

Surface area of of the prism

= 2 (lw + wh + hl)  \\  = 2(16 \times 7 + 7 \times 21 + 21 \times 16) \\  = 2(112 + 147 + 336) \\  = 2 \times 595 \\  = 1190 \:  {cm}^{2}  \\

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Which is the measure of angle C ?
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Answer:

A

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B=77 and E=77

F=31 and C=31

A=72 and D=72

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For a set of data, r = 0.27. Which is true about the correlation of the variables?
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(2a+b)² -(3a+4b)(2a+7b)​
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-2a^2 - 25ab - 27b^2

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How many times does 7 go into 357
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Please solve with explanation
yan [13]

Answer:

The x coordinate of S is b.

Step-by-step explanation:

a)

The coordinates of Point Q are:

(2a+2b)/2, 2c/2

= [(a + b), c].

The slope of the line AB

= (0-2c)/(2b-2a)

= -c/(b-a)

So The slope of the line QS = (b - a) / c = (b - a)/c.

Its equation is

y - c = (b - a)/c ( x - (a+b))

y = (b - a)/c ( x - (a+b)) + c.

The coordinates of Point P are:

(2a+0)/2, 2(c+ 0)/2

= (a, c)

The slope of the line AO

= (2c)/2a

= c/a

So The slope of the line PS = -a/c

Its equation is

y - c =  -a/c(x - a)

y  =  -a/c(x - a) + c

b)

So:

(b - a)/c ( x - (a+b)) + c

=  -a/c(x - a) + c

(b - a)(x - a - b) + c^2 = -a(x - a) + c^2

(b - a)(x - a - b) = -a(x - a)

bx - ab - b^2  - ax + a^2 + ab = -ax + a^2

bx - ax + ax + a^2 - a^2 - ab + ab = b^2

bx  =  b^2

x = b = the x coordinate of S.

c). The point R has the same x coordinate as S So RS is perpendicular to OB.

3 0
2 years ago
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