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Lemur [1.5K]
4 years ago
11

In right triangle ABC, angle C = 90 degrees. Angle A = 40 degrees and the length of the leg opposite angle B is 18 feet. Find th

e length of the hypotenuse to the nearest tenth.
Mathematics
1 answer:
pashok25 [27]4 years ago
8 0

The hypotenuse is 20 ft

Step-by-step explanation:

  • Step 1: This is a right triangle, so the trigonometric ratio cosine can be used to find the length of the hypotenuse. Given side opposite to ∠B, AC = 18 ft and ∠A = 40°,

cos 40° = adjacent side/hypotenuse = AC/AB = 18/AB

⇒ AB = 18/cos 40° = 18/0.76 = 23.5 ft ≈ 20 ft

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4. Hightop Roofing was $3765 in the "red" (owed creditors this amount) at the end of
gulaghasi [49]

The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.

Step-by-step explanation:

Amount owed at the end of June = $3765

Amount owed at the end of December = $8765

As Hightop Roofing owed creditors the amount, therefore, we will consider the amount as negative, therefore,

Amount in June = -3765

Amount in December = -8765

To see the difference, we will subtract the amount owed in June from the amount owed in December.

Difference=(-8765)-(-3765)\\Difference=-8765+3765\\Difference=-5000

The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.

Keywords: difference, loss

Learn more about losses at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

4 0
3 years ago
The probability of a certain player making a three-point shot is 1/14. What is the probability he does not make his next shot?
kari74 [83]

Answer:

13/14

Step-by-step explanation:

If the player chance of making it is 1/14 the remaining chances are the chances he will miss it.

4 0
4 years ago
I have the answer, I just need to explain how I got it. Please help!
Gnoma [55]

Answer:

<h2>Table 2 is correct, you have it wrong</h2>

Step-by-step explanation:

The way we determine if ratios are equivalent is by a proportion. It also helps to know that a foot is 12 inches, so you have the wrong answer. The correct answer is table 2. The way we solve is by dividing the number of inches by 12 to see if we get the number of feet specified on the table.

24/12 = 2

60/12 = 5

72/12 = 6

84/12 = 7

All of these match up to their respective foot measurements.

6 0
3 years ago
What are the answers to these???
Art [367]

Answer:

10. 30km

11. 288km

12. 99km

Step-by-step explanation:

If 1cm=12km, just take the amount of cm and multiply by 12km.

For example, 2.5x12=30, and 24x12=288.

I hope this helps :)

5 0
3 years ago
Find the exact values of the six trigonometric functions of 0
siniylev [52]

Complete question is;

Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4).

Answer:

Sin θ = -4/√41

Cos θ = -5/√41

tan θ = 4/5

Cosec θ = (√41)/-4

Sec θ = (√41)/-5

Cot θ = 5/4

Step-by-step explanation:

Now, we are given the point (-5, -4)

These are x and y points.

They will form a triangle and we know that from pythagoras theorem;

x² + y² = r²

Where r is the distance between the point and the origin

Thus;

r² = (-5)² + (-4)²

r² = 25 + 16

r = √41

So, y is the opposite side of the triangle while x is the adjacent side with r being the hypotenuse.

Thus, the trigonometric ratios are;

Sin θ = opp/hyp = -4/√41

Cos θ = adj/hyp = -5/√41

tan θ = opp/adj = -4/-5 = 4/5

Cosec θ = 1/Sin θ = 1/(-4/√41) = (√41)/-4

Sec θ = 1/cos θ = 1/(-5/√41) = (√41)/-5

Cot θ = 1/tan θ = 1/(4/5) = 5/4

4 0
3 years ago
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