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ollegr [7]
3 years ago
11

A pentagonal prism has a base area of 124 square inches. The lateral area (area of the sides) is made up of 5 equal-sized rectan

gles that are each 80 square inches. What is the surface area of the pentagonal prism?
Mathematics
1 answer:
salantis [7]3 years ago
6 0

Prism

Total surface area of the pentagonal prism is 648 square inches

Step-by-step explanation:

In geometry, a pentagon is defined as a five-sided polygon. In a simple pentagon the sum of the internal angles is 540°.

The pentagon base area = 124 square inches

In a pentagonal prism there are two such surfaces  (top & bottom)

Hence the area of two pentagons = 124 × 2 = 248 square inches

The lateral area (area of the sides) is made up of 5 equal-sized rectangles

Area of one such rectangle is 80 square inches

Area of five such rectangle is 80 × 5 = 400 square inches

Total surface area of the pentagonal prism = 248 + 400 = 648 square inches

Hence, Total surface area of the pentagonal prism is 648 square inches

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MODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars
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Answer:

B = $140

Step-by-step explanation:

for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is \frac{25}{1}

we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money

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7 0
2 years ago
What is the vertex of the quadratic function f(x)=(x-8)(x-2) ?
Nata [24]
Multiply out <span>f(x)=(x-8)(x-2):  f(x) = x^2 - 8x - 2x + 16, or f(x) = 1x^2 - 10x + 16.
Thus, a=1, b= -10 and c=16.

One of several ways to find the vertex involves "completing the square."

x^2 - 10x + 16 = x^2 - 10x + 25 - 25 + 16, or y = (x-5)^2 -9, or y+9=(x-5)^2.

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MAVERICK [17]

Answer:

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y -----> the number of blue polo shirts

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68\%=68/100=0.68

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<u><em>Find the value of x</em></u>

x=16+18=34\ white\ polo\ shirts

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