What is the value of y? Enter your answer, as an exact value, in the box.

Mathematics

1 answer:

OLga [1]2 years ago

7 0

We know the bottom triangle is a 45, 45, 90 triangle, so the hypotenuse is √2 times the value of the legs:

(√2)(√2)
=√4
=2

Now, we can use this to solve for y. The top triangle is a 30, 60, 90 triangle. The side we found above is the side across from the 30 degree angle. The side opposite the 60 degree angle is √3 times the side across the 30 degree angle. Therefore, we can solve for y by multiplying 2 by √3

y=2√3

You might be interested in

Carissa takes a square piece of cardboard and cuts 5 in. by 5 in. squares out of each corner. She folds the sides up to make a b

kow [346]

The answer is v=5x^2-100x+500. First, since we are finding the volume of a square you already know that the equation for a square is volume= length*width*height. Because 5 inches was cut off from each side, that means that each side is now 10 inches shorter than it originally was. So, then you substitute the values into the formula. So the length is x-10 and the width is also x-10 and the height is 5in. Then you write the formula like this (x-10)(x-10)5. Second, you substitute the values into the formula. Since there are 2 x's that would make x^2 and add that to 5 that would make 5x^2. Then you multiply -10*10=-100. Finally, you multiply -10*-10-5=500. Then you add them all together to get 5x^2-100x+500

3 0

2 years ago

Read 2 more answers

Find the sum of the polynomials.

attashe74 [19]

=(3a-4a-3a)+(2b+6b-2b)+(-7c+9c-7c)
=-4a+6b-5c #

3 0

2 years ago

Which expression can be used to determine the slope of the liner function graph below?

Dennis_Churaev [7]

Isn’t there supposed to be a picture?

5 0