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suter [353]
2 years ago
11

Help please I’ll give you 45 points

Mathematics
1 answer:
maksim [4K]2 years ago
4 0

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

A = lw

The area of the top rectangle:

A = 5 x 9

A = 45 square inches

The area of the bottom rectangle:

A = 6 x 3

A = 18 square inches

To find the total area, add the two areas together.

45 + 18 = 63 square inches

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If the angle of elevation to a pole is 67 degrees and the wire is attached to the ground at a point 137 feet from the base of th
Dmitrij [34]
Tan67=h/137

h=137tan67

h≈322.751 ft

h≈322.75 ft  (to nearest hundredth of a foot)
6 0
3 years ago
Let f(x)=x^2 and g(x)=x-2. Find (fog)(-3).​
Mnenie [13.5K]

Answer:

7

Step-by-step explanation:

(x-2)^2

x^2-4x+4

-3^2-4(-3)+4=7

4 0
3 years ago
A survey found that​ women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also foun
san4es73 [151]

Complete question :

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.

1-What percentage of adult men can fit through the door without bending?

2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below

A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

Answer:

A.) 0.135%

B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

C.)

Step-by-step explanation:

Percentage of adult men that can fit the door without bending :

Obtain the Zscore :

Mean height of men, m = 67.5

Standard deviation, s = 3.7

Zscore = (x - m) / s ; where x = 56.4

Zscore = (56.4 - 67.5) / 3.7

Zscore = - 11.1 / 3.7

Zscore = - 3

P(Z < - 3) = 0.0013499 (Z probability calculator)

P(Z < - 3) = 0.0013499 * 100% = 0.13499%

8 0
3 years ago
What is the volume of the rectangular prism?<br> 5 cm<br> 3 cm<br> 6 cm
gtnhenbr [62]

Answer:

90 cm^3

Step-by-step explanation:

The equation to solve for the volume of rectangular prisms is l×w×h or length×width×height

5×3×6 is 90cm^3

7 0
3 years ago
Read 2 more answers
From a point 55 feet away from the foot of a tower, the angle of elevation of the top of the
garri49 [273]

Answer:

The height of the tower is approximately 95.263 feet

Step-by-step explanation:

The given parameters are;

The distance from the foot of the tower where the angle of elevation is measured = 55 feet

The angle of elevation to the top of the tower from a point 55 feet from the foot of the tower, θ = 60°

Therefore, by trigonometric ratio, we have;

tan(\theta )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{The \ height \ of \ the \ tower}{Distance \ from \ foot \ of \ tower}

Therefore, we have;

tan(60 ^{\circ} ) = \dfrac{The \ height \ of \ the \ tower}{55 \ feet}

The height of the tower = 55 feet × tan (60°) = 55 × √3 feet ≈ 95.263 feet.

5 0
3 years ago
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