Answer:
Ben received: £140
Step-by-step explanation:
Total amount = £240
Given ratio: 5:7
It means £240 is divided into 12 parts
So 1 part will be equal to: £240/12
1 part = £20
Now given ratio is:
5:7
Multiplying each share with £20
5*(£20) : 7* (£20)
£100: £140
So according to ratio amounts:
Alex received: £100
Ben received: £140
I hope it will help you!
Answer:
no time left sorry
Step-by-step explanation:
Step-by-step explanation:
Part A: We can write 40 + x + 25 = 180 because these angles are supplementary, meaning they add up to 180 degrees, and when we solve for x, we get x = 115°.
Part B: We can write y = x + 25 because these two angles are vertical angles, meaning they are equal and formed from the same lines. We know that x = 115°, so when we plug that in we get y = 140°.
Part C: z = 40° because these two angles are vertical angles. I hope this helps!
9514 1404 393
Answer:
- 33.0 m
- 26.1 mi
- 28.0 mi
- 33.0 mi
Step-by-step explanation:
In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:
Find the missing angle. Find the side from ...
c = a·sin(C)/sin(A)
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1. angle A = 180°-89°-58° = 33°
c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m
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2. angle C = 180°-13°-17° = 150°
b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi
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3. angle A = 180°-61°-89° = 30°
c = (16 mi)sin(61°)/sin(30°) = 28.0 mi
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4. angle A = 180°-39°-127° = 14°
c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi