Answer:
5sqrt3
Step-by-step explanation:
Using the pythagorean theorem, we have a^2+4^2=9^2
a^2 + 16 = 81
a^2 = 75.
a = sqrt75.
75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3
Answer:
Yes
Step-by-step explanation:
First add what she needs, and compare it to what she bought.
3/4 + 3 1/2 = 4 1/4. Compare 4 1/4 to 4 2/3. To do this, make them into singular fractions (not mixed number fractions), so you get 17/4 and 14/3. Then cross multiply (first number's nominator times the 2nd number's denominator) so 17x3=51. Then do the other sides (2nd number's nominator times the 1st number's denominator), so 14x4=56. Since 56 is greater than 51, then the 2nd number (14/3 or 4 2/3) is largest. Meaning that Maria has MORE than enough paint.
Answer:
x = 38
Step-by-step explanation:
RT is a midsegment and is one half the measure of QU, thus
QU = 2RT, that is
x - 6 = 2(x - 22) ← distribute
x - 6 = 2x - 44 ( subtract x from both sides )
- 6 = x - 44 ( add 44 to both sides )
38 = x