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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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A line passes through the points (-2, 9) and (1, 3).
siniylev [52]

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

\frac{3-9}{1-(-2)} =  \frac{-6}{3} = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept

7 0
2 years ago
The area of a rectangle is x^2-4/2x in.^2 and its length is (x+2)^2/2 in. What is the width in inches?
Over [174]
Is b I’m sure check
3 0
2 years ago
NEED HELP ASAP PLEASE !!
Alexxandr [17]

Answer:

A, C, E

Step-by-step explanation:

The square root of 10 is approximately 3.16, which is greater than pi which is equal to about 3.14, which shows that C is correct as well. The square root of 11 is 3.31, and the square root of 5 added to the square root of 6 is equal to about 3.69, which is greater than the square root of 11.

6 0
2 years ago
What is the value of x?
lesantik [10]
50.6
\frac{x}{72.6 }  =  \frac{46.2 - 14}{46.2}
x = 32.2 \times 72.6  \div 46.2
x = 50.6


8 0
3 years ago
Solve 41-9+(8×2.3)-15+(2.1×4)
dsp73
(8x2.3)= (18.4)
(2.1x4)= (8.4)
Now you should have:
41-9+18.4-15+8.4
9+18= 27
15+8.4= 23.4
Should have:
41-27-23.4= -9.4
6 0
3 years ago
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