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IrinaVladis [17]
3 years ago
11

An airplane climbs at an angle of 13 with the ground . What is the distance it has traveled when it has attained an altitude of

400 feet
Mathematics
1 answer:
nevsk [136]3 years ago
6 0
The distance traveled is the hypotenuse of the right triangle formed with the ground.

sinα=400/d

d=400/sinα, we are told α=13° so

d=400/sin13 ft

d≈1778ft (to nearest whole foot)
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The new building is 22.5 inches from the gymnasium in the model. What will be the actual
Len [333]

Answer:

67.5feet

Step-by-step explanation:

Given parameters:

Model distance between building and gymnasium  = 22.5 inches

Scale of model :  1 inch  = 3 feet

Unknown:

Actual ground distance  = ?

To solve this problem, we first must understand the concept of scale. A scale is a relationship that represents a dimension on a map/model compared to the true ground expression. In order to visualize or represent some real life objects on paper or in a computer, we use models. These models are an abstraction of the real world based on scales. There are different ways of representing a scale.

In this problem;

    the scale is given as;

                     1 inch on model  represents 3 feet on ground

Now, to find 22.5 inches, simply cross multiply and solve;

        If   1 inch on model  represents 3 feet on ground

              22.5 inches on a model  will be =  \frac{22. 5 inches x 3 feet }{1 inches}

                                                                   = 67.5feet

Therefore, the actual distance is 67.5feet

8 0
3 years ago
What is 2160 minus 1600 long way
lilavasa [31]
Hey there, Lets solve this problem together. 

The First step is to line up the numbers. 

=  2160

- 1600 

\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left} 

<span>We calculate </span>0-0<span>the result of which is </span>0<span> 
</span>
<span>We calculate </span>6-0<span> the result of which is </span>6<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.

We calculate 10+1-6, and the result is 5. 

<span>We calculate </span>2-1-1<span> the result of which is</span>0<span>. 
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Therefore, 

2160 - 1600 = 0560 
8 0
3 years ago
If z varies inversely as w, and z= 3 when w=4, find z when w=2.<br> Z=
vivado [14]

Answer:

6

Step-by-step explanation:

Inverse proportion.

z = k/w

z = 3, w = 4

Solve for k constant.

3 = k/4

(4)3 = (4)k/4

12=k

The value of k constant is 12.

z = k/w

Put w as 2 and k as 12 and solve for z.

z = 12/2

z = 6

The value of z when w equals 2 is 6.

8 0
3 years ago
PLEASE HELP ME ILL GIVE 5 STARS ASAP PLEASE
kicyunya [14]

16 wide

Step-by-step explanation:

because i do 8 x 2

8 0
2 years ago
Read 2 more answers
F(x)= 1/x−3+7 Find the inverse of f(x) and its domain.
castortr0y [4]

Answer:

f(x)^-1 = x - 4

D: {x is all real numbers}

Step-by-step explanation:

change f(x) to y

switch x with y and vice versa

solve for y

4 0
3 years ago
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