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Shalnov [3]
4 years ago
12

5 Raymond was riding a zip-cable from the top of a viewing post. The cable is 75 yards long. The viewing post is 60 yards high a

nd forms a right angle with the ground, as shown in the picture below. Given this information, how far is the bottom of the cable from the base of the viewing post?
Mathematics
2 answers:
Alenkasestr [34]4 years ago
7 0
It is 45 yd from the base of the pole.

The pieces of the right triangle we are given are one of the legs (the height of the pole, 60 yd) and the hypotenuse (the length of the cable, 75 yd).  Using the Pythagorean theorem, we have:

60²+b²=75²
3600+b²=5625

Subtract 3600 from both sides:
3600+b²-3600=5625-3600
b²=2025

Take the square root of both sides:
√(b²) = √2025
b = 45
Delicious77 [7]4 years ago
6 0

Answer:

It is 45

Step-by-step explanation:

You might be interested in
Y=2x+5 y=3x−1 solve by subsitution
loris [4]

Answer:

(6,17)

Step-by-step explanation:

2x+5=3x-1

-3x        -3x

-x+5=-1

-5      -5

-x=-6

^divided by -1 on both sides

x=6

y=2x+5

y=(2)(6)+5

y=17

5 0
3 years ago
I’d really appreciate if you’d also give a brief explanation:)
ArbitrLikvidat [17]

Answer:

Only area of PQR can be calculated.

Step-by-step explanation:

In PQR, we have both the base (24 cm) and the height (15cm) which is perpendicular to the base. Therefore using these two measurements, we can take

\frac{1}{2}  \times 24 \times 15

This is equal to 180 cm².

3 0
3 years ago
What is the area of the shaded segment?
Whitepunk [10]

Answer:

6\pi-9\sqrt{3

Step-by-step explanation:

The area of a pie-slice shape can be found with the equation A=\pi nr^2/360 where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is \pi (60)(6^2)/360=6 \pi

Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is \sqrt{3}r^2/4 where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of 9 \sqrt{3}

Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: 6\pi-9\sqrt{3

8 0
3 years ago
12 more than a number P is 17
Alenkasestr [34]

Answer:

p=5

Step-by-step explanation:

Please give brainliest

7 0
3 years ago
Hurry !!!! I need help​
Anna [14]

Answer:

x = 66

Step-by-step explanation:

m<5 + m<6 = 180

2x + 48 = 180

2x = 132

x = 66

4 0
3 years ago
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