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Nitella [24]
4 years ago
13

determine (a) the volume and (b) the surface area of the three-dimensional figure. when appropriate, use pi key on your calculat

or.

Mathematics
1 answer:
lawyer [7]4 years ago
3 0

Answer:

Volume = 150 yd^3

Surface Area = 150 yd^2

Step-by-step explanation:

Going by the dimensions of the given three-dimensional figure, we can conclude that the figure is that of a cube. The height, length and width are equal.

Volume of a cube is given as a^3 , while surface area of a cube is given as 6a^2

Where, a = the side length = 5 yards

Volume = a^3 = 5^3

Volume = 150 yd^3

Surface Area = 6a^2 = 6(5)^2

Surface Area = 150 yd^2

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Find angle A and angle E
riadik2000 [5.3K]

Answer:

m∠A = 50°

m∠E = 50°

Step-by-step explanation:

7x - 17 and 2x + 8 are same side exterior angles. They have a sum of 180°.

7x - 17 + 2x + 8 = 180

9x - 9 = 180

9x = 189

x = 21

∠A and 7x - 17 are supplementary. ∠E and 2x + 8 are vertical angles.

m∠A + 7x - 17 = 180

m∠A + 7(21) - 17 = 180

m∠A + 147 - 17 = 180

m∠A + 130 = 180

m∠A = 50

m∠E = 2x + 8

m∠E = 2(21) + 8

m∠E = 42 + 8

m∠E = 50

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3 years ago
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Step-by-step explanation:

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3 years ago
Use limits to find the area of the region bounded by the graph f(x)=4-2x^3 , the x-axis , and the vertical lines x=0 and x=1
gtnhenbr [62]

Answer:

\frac{7}{2} square units.

Step-by-step explanation:

We have to use limits to find the area of the region bounded by the graph f(x) = 4 - 2x^{3} , the x-axis, and the vertical lines x=0 and x=1.

So, the area will be

A = \int\limits^1_0 {(4 - 2x^{3})} \, dx

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3 0
4 years ago
2. The hundredths model is shaded to represent a division
solniwko [45]

Answer:

Option D

Step-by-step explanation:

If the whole grid is considered to be 1,

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There are 72 shaded grids which represent the hundreds = 0.72

When these grids have been divided into 9 equal rows, number of grids in each row = 8

And the value of 8 grids in each row = 0.01 × 8 = 0.08

So the equation is,

0.72 ÷ 9 = 0.08

Therefore, equation represented by the model will be Option (D).

4 0
3 years ago
Tina placed a 15 meter rope along one side of the bicycle path. She hung a ribbon on each end of the rope and every 3 meters in-
dusya [7]
Hello!

She placed 6 ribbons

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3 years ago
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