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3 years ago

A skyscraper with 103 floors is 1133 feet tall each floor is the same height how tall is each floor

Mathematics

2 answers:

alukav5142 [94]3 years ago

5 0

1133/103=11 ft per floor.

alexdok [17]3 years ago

5 0

You have to divide the total feet by the number of floors there are and you get your answer
Each floor is 11ft

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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

DENIUS [597]

The answer is 15 in³.

The volume of the cone is:
$V_1= \pi r_1 ^{2} \frac{h_1}{3} = \frac{ \pi r_1^{2} h_1}{3}$
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
$V_2= \pi r_2h_2^{2}$
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since the cone fits exactly inside of the cylinder, they have the same radius and the height:
r₁ = r₂
h₁ = h₂

Also:
V₁ = 5

Now, let's write two volume formulas together:
$V_1= \frac{ \pi r^{2} h}{3}$
 $V_2= \pi rh^{2}$ 

We can include V₂ into V₁:
$V_1= \frac{V_2}{3}$

⇒ $V_2=3*V_1$
$V_2=3*5 in^{3}$
$V_2=15 in^{3}$

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3 years ago

What restrictions are there on the range of the function H(w) below?

Eddi Din [679]

The function, named H(w) is defined by a graph that is a descendant line, that belongs only to the first quadrant. As w approaches to 0 by the right, the function approaches to + infinity. It never touches the vetical axis, decreases and approaches to 0 when w approaches to infinity. The graph never touches the horizontal - axis.

Then, the function is defined only for positive values of w and H(w) is always positive.

Then, the answer is H(w) > 0, this is the option C.

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3 years ago

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slamgirl [31]

Answer:

Option C is the right answer.

Step-by-step explanation:

1/2 × 1/3 = 1/6

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3 years ago

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Alekssandra [29.7K]

I believe it is the ratio 3 : 1.

18 students chose the turkey sandwich.

Since the class has a total of 24 students, we can deduce that 6 students chose the vegetarian sandwich.

This gives us a ratio of 18 : 6.

When simplified, we get a ratio of 3 : 1.

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3 years ago

In the triangles, GK PN and HG 2MP.

dalvyx [7]

Answer:

G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°

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