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MakcuM [25]
4 years ago
9

One of the skylights on the roof of Bianca’s building is in the shape of the solid below.

Mathematics
1 answer:
luda_lava [24]4 years ago
8 0

Answer:

588 sq. in.

Step-by-step explanation:

The total volume of air inside the skylight is in the shape of a pyramid, not the rectangular prism at the bottom.

So, if we look at the pyramid, it has a square base with dimensions 14 x 14. Its height is 11 - 2 = 9.

Formula for volume of a pyramid is:

V = 1/3 * Area of Base * height

Area of Base (since it is a square) = 14 * 14 = 196

Height is 9

<em>plugging into the formula, we get:</em>

<em>V=\frac{1}{3}*BaseArea*height\\=\frac{1}{3}*196*9\\=588</em>

<em />

<em>Hence, volume is 588 sq. in.</em>

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In XYZ, mX=90 and mY=30.In TUV,mU= 30 and mV=60. Which is true about the two triangles? XYZ=TUV, XYZ= VUT,No congruency statemen
Flauer [41]

Answer:

No congruency statement can be made because the side length are unknown.

Step-by-step explanation:

The sum of the measures of all interior angles in a triangle is always 180°.

In triangle XYZ,

m\angle X=90^{\circ}\\ \\m\angle Y=30^{\circ},

then

m\angle X+m\angle Y+m\angle Z=180^{\circ}\Rightarrow m\angle Z=180^{\circ}-90^{\circ}-30^{\circ}=60^{\circ}

In triangle TUV,

m\angle U=30^{\circ}\\\\m\angle V=60^{\circ},

then

m\angle T+m\angle U+m\angle V=180^{\circ}\Rightarrow m\angle T=180^{\circ}-30^{\circ}-60^{\circ}=90^{\circ}

We have two triangles with congruent angles but we have no information about side lengths. Therefore, can not be made because the side length are unknown. Correct option is last option.

6 0
3 years ago
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in a history class, the girl to boy ratio is 9 to 5. if there is a total of 70 students how many boys is there
DedPeter [7]

Answer:

25 boys.

Step-by-step explanation:

To solve this problem, first add the two parts of the ratio. 9 + 5 = 14. Then divide 70 by 14 to get 5. Since the total is 5 times the ratio total, multiply both sides of the ratio by 5. The result is 45 : 25. If you add them together, you get a total of 70. Therefore, there are 25 boys in the class.

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4 years ago
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F(x) = 3x + 9, g(x) = 5x2 Find (f + g)(x).
Karo-lina-s [1.5K]
F(x) = 3x + 9
g(x) = 5x²

(f + g)(x) = (3x + 9) + 5x²
(f + g)(x) = 3x + 9 + 5x²
(f + g)(x) = 5x² + 3x + 9
4 0
3 years ago
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Can someone help me on this one Please
Mumz [18]
X-4y=1
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6 0
4 years ago
Determine if each ratios or rates are equivalent.
maxonik [38]

Answer:

no these are not equivalent

Step-by-step explanation:

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4 0
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