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ELEN [110]
3 years ago
8

The surface area of the triangular prism pictured below is 204 square centimeters. What is the height of the prism?

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0
The picture in the attached figure

we know that
surface area=2*area of the base+perimeter*height

area of the base=area of the triangle
area of the base=3*4/2----> 6 cm²

perimeter of the base=perimeter of triangle
perimeter=3+4+5----> 12 cm
height=x cm

surface area=2*6+12*x
surface area=204 cm²
12+12*x=204
12*x=204-12
12*x=192
x=192/12
x=16 cm

the answer is
16 cm

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The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are
melamori03 [73]

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers

3 0
3 years ago
Chanel is going to paint a chervron design on her wall using the template. She will need to paint 50 of the templates. How many
sashaice [31]

Answer:

350 in²

Step-by-step explanation:

Assuming the solid likes are the design. So we see two parallelograms there.

Area of 1 parallelogram = base x height. Since we have a joint height, we will multiply the total height with the base (both have the same base length) to get the area of 1 design.

1 design = 3.5 x 2 = 7 in²

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8 0
3 years ago
What's the slope of the line passing through the point help​
scoray [572]

Answer:

the slope is 3/4

Step-by-step explanation:

The formula for slope is

m = (y2 - y1)/(x2 - x1)

The two points are given as (-1, 1) or (x1, y1), and (3, 4) or (x2, y2)

Plug those value into the formula and simplify

m = (4 - 1)/(3 - (-1))

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6 0
3 years ago
Read 2 more answers
Match each description of an algebraic expression with the symbolic form of that expression
kicyunya [14]

Answer:

A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x

B. 2 terms; variables = x and y -----------> 4.5y - 2x

C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y

D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3

Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)

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