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2 years ago

PLEASE HELP ME PLEASE!!

Mathematics

1 answer:

Anna35 [415]2 years ago

8 0

Step-by-step explanation:

in such a case, where we have all the sides and need angles, the best tool is the extended Pythagoras (for general triangles and not just for right-angled ones) :

c² = a² + b² - 2ab×cos(C)

c is the side opposite of angle C.

the side opposite of B is CA.

so, we have

220² = 100² + 160² - 2×100×160×cos(B)

48,400 = 10,000 + 25,600 - 32,000×cos(B)

12,800 = -32,000×cos(B)

cos(B) = -12,800/32,000 = -0.4

B = 113.5781785...° ≈ 114°

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Answer:

Step-by-step explanation:

y-y1=m(x-x1) through (4,4)

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3 years ago

1. Find the length of side "a" in the figure below. Also identify the type of triangle and

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Answer:

<h2>It's a right triangle. a = 5.</h2>

Step-by-step explanation:

Look at the picture.

We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

We have:

$a\sqrt3=5\sqrt3$ <em>divide both sides by √3</em>

$a=5$

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3 years ago

The ratio of John's money to Jimmy's money is 5:8. Jimmy spent 1/4

erma4kov [3.2K]

Answer:

a. $3600

b. 6:5

Step-by-step explanation:

Put the question into an equation:

8x - 1/4 x 8x = 5x + 450

(simplify before solving) 6x = 5x + 450

(solve) 6x-5x = 450

x = 450

This means that Jimmy had 8 x 450 $ to start with = 3600

you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!

Now ratio of new amounts:

Jimmy now has: $2700

John still has: $2250

so ratio is 2700:2250

simplify to 6:5

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