Answer:
(c) 115.2 ft³
Step-by-step explanation:
The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.
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<h3>Cube</h3>
The volume of the cube on the left is given by ...
V = s³
V = (4.2 ft)³ = 74.088 ft³
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<h3>Pyramid</h3>
The volume of the pyramid on the right is given by ...
V = 1/3Bh . . . . . where B is the area of the square base
V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³
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<h3>Total</h3>
The volume of the composite figure is the sum of these volumes:
cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³
The volume of the composite figure is about 115.2 ft³.
Answer:
3 2/3ft²
Step-by-step explanation:
Area of a rectangle = Length × Width
Given
Length = 5 1/2 foot
Width = 2/3foot
Substitute
Area of the rectangle = 5 1/2 × 2/3
Area of the rectangle = 11/2×2/3
Area of the rectangle = 22/6
Area of the rectangle = 11/3
Area of the rectangle = 3 2/3ft²
First figure out how much it costs to rent seven movies a month. f(7)=2(7) + 12–> 14 + 12–> $26 Now we need to find the difference between 26 and 10. 26 - 10= 16. So Casey needs $16 more to rent 7 movies a month
Quadratic formula is x=(-b+-sqrt(b^2-4ac))/(2a)
a= 1, b=-4, and c=3
Therefore, x=(-(-4)+-sqrt((-4)^2-4(1)(3))/(2(1))
Solve for both the plus and minus equations; the answers will be the roots to the quadratic equation.
Answer:
a = M -Gh/G
Step-by-step explanation:
in order to make a the subject of fomular , you will open the bracket first and then combine the like terms.
G(a + h) = M
Ga + Gh = M
Ga = M - Gh
since G is disturbing a from standing alone, we divide both sides by G
Ga/G = M- Gh/ G
a = M -Gh/G
