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nasty-shy [4]
3 years ago
7

Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :

Mathematics
1 answer:
lesya [120]3 years ago
3 0

Answer:

x = 10\sqrt{3}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{20} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 20\sqrt{3} ( divide both sides by 2 )

x = 10\sqrt{3}

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What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?
pentagon [3]

Answer:

y - intercept = 5

Step-by-step explanation:

Equation: y = mx + b

Input the given values

3 = -1(2) + b

3 = -2 + b

5 = b

-Chetan K

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3 years ago
Find the value of |5| - 4(32 - 2).<br> hurry i need it in 1.5 seconds please hurry
harkovskaia [24]
I think the answer is -115
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3 years ago
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So desperate. Last question on my HW and I can't do it.
vladimir2022 [97]

Will you please either write the question or upload a picture of it so we can help you with it?

7 0
3 years ago
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft sho
trasher [3.6K]

Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           

6 0
3 years ago
There are 4 sticks, you pick up one stick. How many sticks are left
LenaWriter [7]
There are 3 sticks because:

4 sticks is the total and when you take away 1 stick, it is
 
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So, the answer is 3 sticks are left.


Question: If u are in high school, why did you ask this question? You already know 4-1=3. Im guessing it was either a joke, or u were helping other people get points. If it is the second one, thx!!

6 0
3 years ago
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