Answer:
182
Step-by-step explanation:
Answer:
Given that,
R = 3x + 9y
Also, given that,
y = 6
R = 7
We have to find the value of x
For that, you can to put 6 and 7 to the equation instead of y and R respectively.
R = 3x + 9y
7 = 3x + 9 × 6
7 = 3x + 54
7 - 54 = 3x
- 47 = 3x
![\frac{-47}{3}=x](https://tex.z-dn.net/?f=%5Cfrac%7B-47%7D%7B3%7D%3Dx)
Hope this helps you :-)
Let me know if you have any other questions :-)
Answer:
The area of the shaded region is ![5.86\ cm^{2}](https://tex.z-dn.net/?f=5.86%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the rectangle minus the area of the circle
The rectangle is a square
so
![A=b^{2} -\pi r^{2}](https://tex.z-dn.net/?f=A%3Db%5E%7B2%7D%20-%5Cpi%20r%5E%7B2%7D)
we have
![b=3\ cm](https://tex.z-dn.net/?f=b%3D3%5C%20cm)
![r=1\ cm](https://tex.z-dn.net/?f=r%3D1%5C%20cm)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute the values
![A=3^{2} -(3.14)(1)^{2}](https://tex.z-dn.net/?f=A%3D3%5E%7B2%7D%20-%283.14%29%281%29%5E%7B2%7D)
![A=5.86\ cm^{2}](https://tex.z-dn.net/?f=A%3D5.86%5C%20cm%5E%7B2%7D)
Answer:
<u>Option 2</u>
Step-by-step explanation:
Evaluating the options :
<u>Option 1</u>
- 2 |x - 5| - 4 < -8
- 2 |x - 5| < -4
- |x - 5| < -2
- Empty set as modulus cannot be less than 0
<u>Option 2</u>
- |2x - 1| - 7 < -6
- |2x - 1| < 1
- x < 1
- There is a solution set other than empty set
<u>Option 2</u> is the right answer.
Answer:
15'
Step-by-step explanation:
12 squared + 9 squared =225
144 81
then square root 225 to get 15