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avanturin [10]
3 years ago
6

Find m∠Y. Put the answer below. m∠Y =

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
7 0

Answer:

60 degrees

Step-by-step explanation:

We are given the measures of WY and XY. Using them, we can find out 2WY=XY.

In 30-60-90 right triangle, the hypotenuse is 2 times the shortest leg. This means that this triangle is a 30-60-90 triangle. Angle Y is the angle made by the shorter leg and the hypotenuse therefore it is 60 degrees.

Tems11 [23]3 years ago
6 0

Answer:

60°........

.......

......

.....

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The quotient of a number and 3 is 8
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Answer:

number = 24

Step-by-step explanation:

3 x 8 = 24

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3 years ago
A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function
dexar [7]
Here's our equation.

h=-16t+64t+3

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a}  \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16}  = \frac{64\±\sqrt{4096+192}}{32}

= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


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Step-by-step explanation:

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Don't know how to explain, but it's 100% right

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