3 1/2 *8 2/3 2*1/2*8 1*8 the answer is 8
Answer:
(3/8)x^2
Step-by-step explanation:
Rewriting the given expression as follows simplifies the solution. Note that 6x^(-2) could be written as:
6
--------
x^2
Also, (0.5x)^4 = 0.0625x^4.
Then we have:
6*0.0625*x^4 0.375
---------------------- = ------------ * x^(4-2), or (3/8)x^2
x^2 1
Note that x^4 / x^2 = x^2.
Answer:
Angle I = 90 degrees
Angle J = 61 degrees
Angle K = 29 degrees
Step-by-step explanation:
Angle I is given
We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:
(5x+26) + (2x+15) = 90
Solve for X:
7x + 41 = 90
7x = 49
x = 7
Angle J = (5x + 26) = (5(7) + 26) = 61
Angle K = (2x + 15) = (2(7) + 15) = 29
Checking your work: 61 + 29 = 90
She earned 1149, which is between 436 and 1506 so you would use the 2nd row for the information.
the tax rate says 15% for the amount over 436
so fist find the amount that is taxable:
1149 - 436 = 713
now multiply that amount by 0.15 ( 15% as a decimal)
713 * 0.15 = 106.95
now add the base tax to that amount for the total amount of tax:
106.95 + 34.90 = 141.85 total tax withheld
First you are using the pothagorean theorem which is a^2+b^2=c^2. You have a and b, so you should plug them in to get 4^2+4^2=c^2. Then simplify it some more to 16+16=c^2. Now finish simplifying to c^2=32. Now take the square root of each side and you have your answer. So your answer will be c=√32 or c is about 5.66.