To express
5
−
2
as a positive exponent we will use this rule of exponents:
x
a
=
1
x
−
a
5
−
2
=
1
5
−
−
2
=
1
5
2
112,811 rounded to the nearest hundred thousand is 100,000
The volume of a cylinder is Pi times the radius^2 times the height
Volume = Pi x 6^2 x 2
Volume = 226.2
Question 1:This is a 45-45-90 right triangle. If the leg length is
, then the hypotenuse length will be
.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
. Thus, the last choice is your answer.
Question 2:This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of
.
Then, the longer leg will have a length of
.
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
This is Bridge Algebra 2 stuff. Well you see that 2x+y=8 and x-1=y. To slove for y you have to slove for x first to find y. So 2x+x-1=8 ( the reason I did that is because there is a y in that equation and I placed it on that equation) now lets slove this equation for x. So 3x-1=8( I add 2x with x) 3x=9 ( I made -1 a positive one and add it to 8) x=3 ( I divided 9/3 to get 3). Now that you have slove x we will use x to slove for y. So 3-1=y, 2=y. Your answer is y=2.