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1 year ago

Can you find both the value of x and y? It is a 30-60-90 triangle

Mathematics

1 answer:

Juli2301 [7.4K]1 year ago

3 0

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

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(3x-60)° or (x+50)° please help.

Schach [20]

Step-by-step explanation:

Combine like terms: 40 + 60 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50.

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3 years ago

What is 7.5% as a fraction

fomenos

Answer:

15/2

Step-by-step explanation:

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2 years ago

Joshua was offered a job that paid a salary of $77,500 in its first year. The salary was set to increase by 2% per year every ye

nalin [4]

Answer:

if you want it as dollars and cents it is $77.50 but in nearest whole number it would be 78 dollars

Step-by-step explanation:

step 1: multiply the 2 by 5 and you get 10%

step two: you put 10 over 100 and multiply 77,500

10/100 x 77,500/1= $77.50

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2 years ago

Read 2 more answers

Solve for y 2(3 + 3y) + y = 11

garik1379 [7]

<h2>EQUATION</h2><h3>Exercise</h3>

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

7y = 5

Divide both sides by 7:

$\dfrac{7y}{7} = \dfrac{5}{7}$

$\boxed{y = \dfrac{5}{7}}$

<h3>Answer. The value of y = 5/7.</h3>

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2 years ago

Simplify the product using the distributive property.

Svetllana [295]

Answer:

Step-by-step explanation:

(4h + 6)(4h − 7)

= 4h(4h - 7) + 6(4h-7)

= 16h2 - 28h + 24h - 42

= 16h2 - 4h - 42 (Ans)

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2 years ago