Answer:
see below
Step-by-step explanation:
3 ^ ( 6/5)
The base a is 3
The power is 6 which is b
the root is 5 which is c
![\sqrt[5]{3^6}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B3%5E6%7D)
Answer:
![\large\boxed{A=153\ cm^2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BA%3D153%5C%20cm%5E2%7D)
Step-by-step explanation:
<em>Look at the picture.</em>
We have
square with side length a = 9
trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6
right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6
The formula of an area of a square
![A=a^2](https://tex.z-dn.net/?f=A%3Da%5E2)
Substitute:
![A_I=9^2=81\ cm^2](https://tex.z-dn.net/?f=A_I%3D9%5E2%3D81%5C%20cm%5E2)
The formula of an area of a trapezoid:
![A=\dfrac{b_1+b_2}{2}\cdot h](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7Bb_1%2Bb_2%7D%7B2%7D%5Ccdot%20h)
Substitute:
![A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2](https://tex.z-dn.net/?f=A_%7BII%7D%3D%5Cdfrac%7B9%2B6%7D%7B2%7D%5Ccdot6%3D%5Cdfrac%7B15%7D%7B2%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7D%5Ccdot6%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E3%3D%2815%29%283%29%3D45%5C%20cm%5E2)
The formula of an area of a right triangle:
![A=\dfrac{l_1l_2}{2}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7Bl_1l_2%7D%7B2%7D)
Substitute:
![A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2](https://tex.z-dn.net/?f=A_%7BIII%7D%3D%5Cdfrac%7B%289%29%286%29%7D%7B2%7D%3D%5Cdfrac%7B54%7D%7B2%7D%3D27%5C%20cm%5E2)
The area of the shape:
![A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2](https://tex.z-dn.net/?f=A%3DA_I%2BA_%7BII%7D%2BA_%7BIII%7D%5C%5C%5C%5CA%3D81%2B45%2B27%3D153%5C%20cm%5E2)
Answer:
0.53%
Step-by-step explanation:
hope it is well understood
Answer:
Step-by-step explanation:
In each option you need to find the number of outcomes of a single event and then multiply that by the number of times that event takes place.
1. 2 outcomes (heads and tails)
2. 6 outcomes (2 outcomes * 3 tosses)
3. 60 outcomes (6 outcomes per die * 10 rolls)
4. 12 outcomes (6 outcomes per die * 2 rolls)
5. 10 outcomes (10 numbers on the pad)
6. 52 outcomes (52 cards in a regular deck)
7. 32 outcomes (32 letters in the alphabet)
8. 7 outcomes (7 letters to choose from)
9. 10 outcomes (10 letters to choose from)
10. 36 outcomes (36 crayons to choose from)