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garik1379 [7]
3 years ago
11

A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from t

he top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?
Round the answer to the nearest tenth.

Mathematics
1 answer:
anygoal [31]3 years ago
6 0

9514 1404 393

Answer:

  38.5°

Step-by-step explanation:

A triangle solver can give an answer easily. The angle is 38.5°.

__

The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.

  C = arccos((a² +b² -c²)/(2ab))

Here, we have a=35, b=48, c=30, so the angle is ...

  C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°

The angle the cable makes with the pole is about 38.5°.

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vazorg [7]

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Step-by-step explanation:

W∩ X is asking for the intersection of sets W and X, or simply, which numbers can be found in both sets.

The numbers shared between the two sets are 3, 4, 5.

Next, we need to union this result with the set Y, or simply, combine the numbers in both sets together.

This would result in 2, 3, 4, 5

5 0
3 years ago
What is the area of the face marked f
Annette [7]

Answer:

12cm ...........

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5 0
3 years ago
PLS HELP ME WITH THIS PLS FIND THE SEQUENCE ITS BIG POINTS
vladimir2022 [97]
1. Is a difference of 5 each time so it would be 28,33,38
3. Is the same so go up by 5 each time.
4. Goes up by 3, so your next answers would be 17,20,23.
5.im not sure if that was a typo but it looks like everything after 30 goes up 7 so it would be 51,58,65 hope the last one was a typo but the rest should be right
5 0
3 years ago
Read 2 more answers
Need help with this problem!!
Nezavi [6.7K]

Answer:

Area:

4 x 4 = 16

Finding area of semi circle:

4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!

2^2<---your radius being squared = 4

4(radius squared) x 3.14(pi) = 12.56

12.56 divided by 2 since its a semi circle is = 6.28

6.28 + 16 = 22.28 is your area

Perimeter is:

4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12

Circumference:

Radius is 2,

2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56

12.56 divided by 2 = 6.28

6.28 + 12 = 18.28 is your perimeter.

Just a refresh:

Circumference Formula:

2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius

Area of a Circle Formula:

Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)

Another thing you should remember:

Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!

8 0
3 years ago
How do i work this out?
Karo-lina-s [1.5K]

She has 45% of the original amount left

<h3>Ratio and proportions</h3>

Fractions are written as a ratio of two integers

Given the following

Initial amount. = ∈4000


Amount given to her sister = 1/4 * 4000 = 1000

Amount given to her brother = 40% of 3000 = 1200

Amount left = 4000 - (1000+1200)

Amount left = ∈1800

Determine the percentage left

x * 4000 = 1800

x = 1800/4000

x = 0.45

x = 45%

Hence she has 45% of the original amount left

Learn more proportion here: brainly.com/question/19994681

#SPJ1

5 0
2 years ago
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