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vampirchik [111]
3 years ago
12

When designing a building, you must be sure that the building can withstand hurricane-force winds, which have a velocity of 73 m

i/h or more. The formula f=0.004av^2 gives the force F in pounds exerted by a wind blowing against a flat surface. A is the area of the surface in square feet, and v is the wind velocity in miles per hour. How much force is exerted by a wind blowing at 81 mi/h against the side of the building shown?

Mathematics
2 answers:
Lynna [10]3 years ago
6 0

The first step is calculate the surface area of the flat surface shown

Surface area of the rectangle = length * width = 25*12.9 = 322.5 square feet

Surface area of the triangle = 1/2 *base*height = 1/2*25*7.2 = 90 square feet

Total surface area = 322.5 +90 = 412.5 square feet

Total force = 0.004*a*v^2 = 0.004*412.5*81^2 = 10,825.65 pounds

uysha [10]3 years ago
3 0
The surface area is 412.5 square feet add everything into the equation to get

10825.65 pounds
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Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gall
dalvyx [7]

Answer: a) \frac{x^{2} }{2352.25 } + \frac{y^{2} }{529} = 1

b) The distance of two foci is 85.4 feet

c) Area = 3502.67 square feet

Step-by-step explanation: a) An ellipse has the equation in the form of:

\frac{x^{2} }{a^{2} }+\frac{y^{2} }{b^{2} } = 1, where a is the horizontal axis and b is the vertical axis.

For the Statuary Hall, a = \frac{97}{2} = 48.5 and b = \frac{46}{2} = 23, so the equation will be

\frac{x^{2} }{2352.25 } + \frac{y^{2} }{529} = 1.

b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:

a^{2} = b^{2} + c^{2}

c^{2} = a^{2} - b^{2}

c = \sqrt{48.5^{2} - 23^{2} }

c = 42.7

The distance is 2c, so 2·42.7 = 85.4 feet.

The two foci are 85.4 feet apart.

c)The area of an ellipse is given by:

A = a.b.π

A = 48.5 · 23 · 3.14

A = 3502.67 ft²

The area of the floor room is 3502.67ft².

3 0
3 years ago
Which answers are examples of inductive reasoning? Choose all answers that are correct. The water temperature at the beach was 7
stiks02 [169]
The water temperature at the beach was 75° every day for the past<span>2 weeks. The water temperature at the beach will be 75° today. All even numbers are divisible by 2. Sixty-four is an even number. Sixty-four is divisible by 2.


others are deductive reasoning
</span>The library charges a $0.20 fine each day a book is overdue. Mary is returning a book that is 5 days overdue. Therefore, Mary will pay a $1.00 fine. All observed brown dogs are small dogs. Therefore, all small dogs are brown.
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8 0
3 years ago
Read 2 more answers
35 points!!!! WILL GIVE BRAINLIEST 
Arturiano [62]

Answer  

Find out the  length of OP .

To prove

As given

In △JKL, ​ JO=44 in. ​

Now as shown in the diagram.

JP , MK, NL be the median of the △JKL and intresection of the JP , MK, NL be O .

Thus O be the centroid of the  △JKL .

The centroid divides each median in a ratio of 2:1 .

Let us assume x be the scalar multiple of the OP and JO .

As given

JO = 44 in

2x = 44

x = 22 in

Thus the length of the OP IS 22 in .







7 0
3 years ago
Read 2 more answers
Please help me on this asap this is very important :D
Anettt [7]

Answer:

78.5

Step-by-step explanation:

area of a circle is \pi r^{2}

3.14(5^{2})=78.5

4 0
3 years ago
Subtract 12h+1 from 34h+4 . what is the answer? a.−1/4h+5 b.1/4h+5 c.−1/4h d.1/4h+3
Lemur [1.5K]

Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

<em>~ an aesthetics love</em>

8 0
3 years ago
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