Use PEMDAS method to execute operations in the following order:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
First equation:
12 + (38 - 18)2 = 12 + 20 × 2 = 52
Second equation:
(12)2 - 6(2 - 23) = 24 - 6(-21) = 24 + 126 = 150
Hope this helps.
I believe it is C when you distribute: 8*x is 8x and 8*2 is 16
Answer:
160
Step-by-step explanation:
Rectangle = 10x15=150
Triangle = 1/2x5x4=10
150+10=160
Check the picture below.
so is really just a thick trapezoid, or namely a trapezoidal prism 5 inches thick.
so if we just get the area of the trapezoidal face and multiply by the thickness, we'd get it's volume
![\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{parallel~sides}{bases}\\ h=height\\[-0.5em] \hrulefill\\ a = 8\\ b = 13\\ h = 6 \end{cases}\implies A=\cfrac{6(8+13)}{2}\implies A=63 \\\\\\ \stackrel{\textit{area of the trapezoidal prism}}{63\cdot 5\implies \stackrel{in^3}{315}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%20%3D%208%5C%5C%20b%20%3D%2013%5C%5C%20h%20%3D%206%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B6%288%2B13%29%7D%7B2%7D%5Cimplies%20A%3D63%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20trapezoidal%20prism%7D%7D%7B63%5Ccdot%205%5Cimplies%20%5Cstackrel%7Bin%5E3%7D%7B315%7D%7D)
Answer:
3. 273
4. 168
5. 189.25
Step-by-step explanation:
3. Triangle= .5 x 17 x 6 = 21
Rectangle= 18 x 14 = 252
252 + 21 = 273
4. Big rectangle (shaded)= 11 x18= 198
Small rectangle (right)= 5x4=20
Smaller rectangle (left)= 2x5=10
BR - (SR+SMR)
198-30=168
5. radius=5
Area of the circle= 25(pi)
Semi-circle= 39.25(not exact)
Rectangle= 10 x15=150
Rectangle + Semi-circle
150+39.25=189.25
