The height of the building to the nearest tenth of a meter is; 13 m
<h3>How to make use of Cosine Rule?</h3>
The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;
15/x = sin 36°
x = 15/sin 36
x = 25.52 m
Angle between that slant line and base of building is;
90 - tan⁻¹(1.5/14) = θ
θ = 83.88°
Remaining angle of the bigger triangle is;
180 - (36 + 83.88) = 60.12°
Thus, if the height of the building is h, then;
h/sin 36 = 25.52/sin 60.12
h = 13 m
Read more about Cosine Rule at; brainly.com/question/4372174
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Answers:
- Sarah has $12.50
- Sam has $27.50
- Casey has $55
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Explanation:
x = amount of money Sarah has
x+15 = amount of money Sam has, since he has $15 more than her
2(x+15) = amount of money Casey has, since he has twice as much as Sam.
Let's add up those three expressions and set that sum equal to 95
Solve for x.
Sarah + Sam + Casey = 95
x+(x+15) + 2(x+15) = 95
x + x + 15 + 2x + 30 = 95
4x+45 = 95
4x = 95-45
4x = 50
x = 50/4
x = 12.50
This says that Sarah has $12.50
That must mean Sam has x+15 = 12.50+15 = 27.50 dollars
And Casey must have 2*27.50 = 55 dollars.
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As a check,
Sarah+Sam+Casey = 12.50+27.50+55 = 95
So the answer is confirmed.
Answer:
10.94% to the nearest hundredth.
Step-by-step explanation:
That would be (14200 - 12,800) * 100 / 12800
= 10.94%
Answer:
There are 30 blue berries
Step-by-step explanation:
1:7
_:210
210/7
30
12. <span>
13. 24
14. 3 sqrt 7</span>