Answer:
<u>262,144</u> goes in the blank
Step-by-step explanation:
8^6 = 262,144
4^11 = 4,194,304
4,194,304 + 262,144 = 4,456,448
4,456,448 ÷ 17 = 262,144
Answer:
y=8/5 x
Step-by-step explanation:
combine the like terms and solve
take the number multiplying with y on the other side and divide it by a number multiplying with x
Answer:
Area of the penny = 30 square inches
Step-by-step explanation:
Out triangle-shaped pennants on the first day of school. If each pennant has a base of 5 inches and a height of 12 inches, what is the area of each pennant in square inches?
The pennant is triangular in shape. Hence:
Area of a Triangle = 1/2× Base × Height
Base of the pennant = 5 inches
Height = 12 inches
Area of the pennant = 1/2 × 5 inches × 12 inches
= 30 square inches
Answer:
Go to the bottom of that problem and click save for later
check the picture below.
if ∡F = 90° and ∡D = 30°, then the ∡A = 60°, meaning the triangle is a 30-60-90 triangle and therefore we can use the 30-60-90 rule as you see in the picture.
![\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=7\sqrt{3}\\ b=7 \end{cases}\implies A=\cfrac{1}{2}(7)(7\sqrt{3}) \\\\\\ A=\cfrac{49\sqrt{3}}{2}\implies A\approx 42.43524478543749369142](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20triangle%7D%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B1%7D%7B2%7Dbh~~%0A%5Cbegin%7Bcases%7D%0Ab%3Dbase%5C%5C%0Ah%3Dheight%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Ah%3D7%5Csqrt%7B3%7D%5C%5C%0Ab%3D7%0A%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%287%29%287%5Csqrt%7B3%7D%29%0A%5C%5C%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B49%5Csqrt%7B3%7D%7D%7B2%7D%5Cimplies%20A%5Capprox%2042.43524478543749369142)
