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Aleksandr-060686 [28]
3 years ago
13

A ladder leans against the side of a house. The angle of elevation of the ladder is 64 degrees

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
5 0

Answer:

The length of the ladder is 14.5 ft

Step-by-step explanation:

For a right triangle

sinx = opposite / hypotenuse

Since we know the angle and the opposite side, we can calculate the hypotenuse

sin 64 = 13/ hypotenuse

Multiply each side by the hypotenuse

hypotenuse * sin 64 = 13

Divide by sin 64

hypotenuse = 13/sin 64

hypotenuse=14.4638

Rounding to the nearest tenth

14.5

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What is the constant of proportionality between y/x
Y_Kistochka [10]

Answer:

3.5

Step-by-step explanation:

To find the constant of proportionality between y/x you investigate the trend in values of x with corresponding values of y

For this case, when x =1, y=3.5

                       when x=2, y=7

                       

Taking in case 1, y/x = 3.5/1 = 3.5

In case 2, y/x= 7/2 = 3.5

But you know that the constant of proportionality k is given by;

y=kx------------------------making k subject of formula

y/x=k

Hence in this case, your constant of proportionality is 3.5

8 0
3 years ago
What is the factor tree of 99 and 165 and what is the GCF?
Shtirlitz [24]
99
/ \
11 9
/ \
3 3

165
/ \
33 5
/ \
3 11

GCF=3
5 0
3 years ago
Mary ate 1 4/7 pies, while fred ate 1 4/7 pies. in total . how much pie did these two eat?
nydimaria [60]
Hi there, 1+1=2 and 4/7+4/7=8/7. Therefore, Mary and Fred ate 2 8/7 of the pie.
4 0
3 years ago
Read 2 more answers
a worker A finishes a project on his own in 12 days. the worker completes the same work alone in 16 days. the two workers starte
ankoles [38]

Answer:

<em>Worker B needs 9 days to finish the rest of the work</em>

Step-by-step explanation:

<u>Proportions</u>

Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.

Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

\frac{1}{12}+\frac{1}{16}=\frac{7}{48}

After 3 days they have completed:

3*\frac{7}{48}=\frac{7}{16}

parts of the project, this means it still remains:

1-\frac{7}{16}=\frac{9}{16}

parts of the project and it is done by B alone. Since B does \frac{1}{16} per day, he now takes

\displaystyle \frac{\frac{9}{16}}{\frac{1}{16}}=9

days to complete the project.

Worker B needs 9 days to finish the rest of the work

4 0
3 years ago
Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8<br> I'll mark the brainliest!!!!!!!!!
hram777 [196]

Answer:

(1, 6)

(7, 0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

       0 = -0.5x² + 4x - 3.5

       0 = x² - 8x + 7

       0 = (x - 7)(x - 1)

x - 7 = 0 or x - 1 = 0    

x = 1 or 7

7 0
3 years ago
Read 2 more answers
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