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natulia [17]
3 years ago
9

What is the volume of the isosceles trapezoidal prism?

Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0

Answer:

316.25

I hope I Got The Right Answer

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I keep putting in the formula but I keep getting the answer wrong​
Advocard [28]

Answer:

314 in²  (nearest whole number)

Step-by-step explanation:

<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex.  The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

  • radius = 11 in  ⇒  side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem.   The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}

where:

  • s = length of one side
  • n = number of sides

Given:

  • s = 11 in
  • n = 6

Substitute the given values into the formula and solve for a:

\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}

<u>Area of a Regular Polygon</u>

\textsf{A}=\dfrac{n\:s\:a}{2}

where:

  • n = number of sides
  • s = length of one side
  • a = apothem

Given:

  • n = 6
  • s = 11
  • \textsf{a}=\dfrac{11\sqrt{3}}{2}

Substitute the given values into the formula and solve for A:

\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}

\implies \sf A=314.3672216...

\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)

8 0
2 years ago
How long would it to drive 8.5 miles at 22 miles mile per hour?
Vitek1552 [10]
Time = Distance / Speed     
T = 8.5 miles/ 22 miles = 0.3863

4 0
3 years ago
Which equation can be used to find the volume of the cylinder?
sergejj [24]

Answer:

V = π × 4² × 16  

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

r =   4 in

h = 16 in

Calculation:

V = πr²h = π × 4² × 16

4 0
3 years ago
What is an hypothesis?
vova2212 [387]

Answer: A hypothesis is like a prediction

Hope it helps

3 0
3 years ago
Read 2 more answers
Consider the trinomial 6x2 + 13x + 6.
attashe74 [19]
In the given expression 6X² + 13X +6, we can easily identify the values of a, b and c. These values are a=6, b=13 and c=6
For the value of "ac", we have:
ac=6*6
ac=36
For a sum of b are 4, we have
ac+b=36+13=49
Therefore, the answer for the last question "The two numbers that have a product of ac and a sum of b are 4 and 9".
8 0
3 years ago
Read 2 more answers
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