Answer:
x = 7.55
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse
a^2 +8^2 = 11^2
x^2 +64 = 121
Subtract 64 from each side
x^2 +64-64 = 121-64
x^2 =57
Take the square root of each side
sqrt(x^2) = sqrt(57)
x = 7.549834435
To the nearest hundredth
x = 7.55
1. sqrt5 + 6sqrt5 = (1+6)sqrt5 = 7sqrt5 (answer is D)
2. 4sqrt2 - 7sqrt2 = (4-7)sqrt5 = -3sqrt2 (answer is B)
3. 3sqrt7 - sqrt63 = 3sqrt7 - sqrt7 * sqrt9 = 3sqrt7 - 3sqrt7 = 0 (answer is D)
4. -6sqrt10 + 5sqrt90 = -6sqrt10 + 5*(sqrt10 * sqrt9) = -6sqrt10 + 5*(3sqrt10)
= -6sqrt10 + 15sqrt10 = 9sqrt10 (answer is A)
5. sqrt6*(sqrt 2 + sqrt 3) = sqrt12 + sqrt18 = 2sqrt3 + 3sqrt2 (answer is D)
A rational number is sometimes an integer.
Answer:62.5%
Step-by-step explanation:You do 5/8 and then divide it and you will get a decimal and move the number 0.625 back to the tens which will get you 6.25%
Answer:
Below are explanations!
Step-by-step explanation:
6) 5^4/5^2 means the ^4 and ^2 needs to subtract from the 5s. This results in 5^2, which equals 25.
7) The 9 as the denominator will cross with the first nine above. This leaves as follows: 9^3 x 9^2 x 9^6 (I don't know if it is a 6 or 0). You may solve from there. Just add all the exponents up.
8)^-6 will be multiplied by ^6, which is ^-36. Therefore, the answer is 5^-36.
The other questions, please, remember to read carefully.
