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diamong [38]
3 years ago
15

A cable runs from the top of a pole to a spot on the ground 10 feet from the base of the pole. The pole makes a right angle with

the ground. If the cable is 20 feet long, what is the angle the cable makes with the ground? Enter your answer in degrees.
Mathematics
1 answer:
Amanda [17]3 years ago
7 0
Use the cos ratio to figure this out. You have the length of the hypotenuse and the length of the leg on the ground. The hypotenuse is 20 and the leg is 10. The cos ratio says that cosA = side adjacent/hypotenuse. So fill in the blanks here: cosA = 10/20...cosA=1/2. In your calculator, you will enter inverse cos(.5) to find that the angle in question is 60 degrees. To find the inverse function on your calculator, press the "2nd" button and the "cos" then in the (), enter ".5".
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in the diagram, a building casts a 35-ft shadow and a flagpole casts a 10-ft shadow. if the flagpole is 22tall, how tall is the
8_murik_8 [283]

Let, the height of the building be x ft.

Given the building casts 35ft shadow.

The height of the flagpole given which is 22ft and casts a shadow of 10ft.

Now to find the height of the building we have to equate the ratio of height and shadow of the building and the flagpole.

So we can write,

x/35 = 22/10

To find x, we have to get rid of 35 from the left side and have to move it to right side. As 35 is divided there, we will multiply 35 to both sides.

(x/35)× 35 = (22/10)×35

x = (22×35)/10

x = 770/10

x = 77

So, the height of the building is 77 ft which is the required answer here.

8 0
2 years ago
Help which graph describes exponential decay
DIA [1.3K]

Answer:

Graph 2.

Step-by-step explanation:

The graph is decreasing.

Hope this helps!

If not, I am sorry.

6 0
2 years ago
Hello! :)
stepan [7]

Answer:

T

F

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Step-by-step explanation:

7 0
2 years ago
During the calendar year of 1971 a total of 171 deaths were caused by influenza in a city of 450,000 persons. The temporal distr
masha68 [24]

Answer and Step-by-step explanation:

The computation of annual and quarterly mortality rates per 100,000 population is shown below:-

Quarterly mortality rates are

= \frac{Deaths}{Population\ in\ the\ city}\times Population

For the first quarter

= \frac{54}{450,000}\times 100,000

= 12  death per 100,000 population

For the second quarter

= \frac{43}{450,000}\times 100,000

= 9.5  death per 100,000 population

For the third quarter

= \frac{35}{450,000}\times 100,000

= 7.7  death per 100,000 population

For the fourth quarter

= \frac{39}{450,000}\times 100,000

= 8.6  death per 100,000 population

Now the annual mortality is

= \frac{Deaths}{Population\ in\ the\ city}\times Population

= \frac{171}{450,000}\times 100,000

= 38 death per 100,000 population

3 0
3 years ago
What is the value of the expression shown below if x=3 y=6 and z=4<br><br> X^2+3yz
juin [17]

Simplify   ——

           x3

Equation at the end of step

1

:

                z2

 0-((((3x•(y4))•——)•y)•z4)

                x3

STEP  

2

:

Equation at the end of step

2

:

                z2

 0 -  (((3xy4 • ——) • y) • z4)

                x3

STEP  

3

:

Multiplying exponential expressions :

3.1    z2 multiplied by z4 = z(2 + 4) = z6

Equation at the end of step

3

:

      3y5z6

 0 -  —————

       x2  

STEP

4

:

Final result :

 -3y5z6

 ——————

   x2  

8 0
2 years ago
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