Answer:
79
Step-by-step explanation:
it is 556
Answer:
Height is 8.0in
Step-by-step explanation:
Surface Area of a cylinder = 2πr(r+h)
r is the radius
h is the height of the cylinder
Given surface area = 408.41in²
radius = 5in
h = ?
Substituting the given value into the formula
408.41 = 2π(5)(5+h)
408.41 = 50π + 10πh
408.41 = 50(3.14)+10(3.14)h
408.41 = 157+31.4h
408.41-157 = 31.4h
251.41 = 31.4h
h = 251.41/31.4
h = 8.0in
Answer:
The answer is c i believe
Since we know that dilation of a figure changes all sides of a figure by same factor.
Let us find out factor of dilation of our figure.
We will find side length QR of our quadrilateral QRST and its corresponding side QR' of quadrilateral Q'R'S'T'.
![\text{Length of QR}=5--1](https://tex.z-dn.net/?f=%5Ctext%7BLength%20of%20QR%7D%3D5--1)
![\text{Length of QR}=5+1=6](https://tex.z-dn.net/?f=%5Ctext%7BLength%20of%20QR%7D%3D5%2B1%3D6)
Let us find side length of Q'R'.
![\text{Length of Q'R'}=1--1](https://tex.z-dn.net/?f=%5Ctext%7BLength%20of%20Q%27R%27%7D%3D1--1)
![\text{Length of Q'R'}=1+1=2](https://tex.z-dn.net/?f=%5Ctext%7BLength%20of%20Q%27R%27%7D%3D1%2B1%3D2)
Let us compare both our side lengths to find factor of dilation,
![\frac{QR}{Q'R'}= \frac{6}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BQR%7D%7BQ%27R%27%7D%3D%20%5Cfrac%7B6%7D%7B2%7D)
![\frac{QR}{Q'R'}= 3](https://tex.z-dn.net/?f=%5Cfrac%7BQR%7D%7BQ%27R%27%7D%3D%203)
Upon cross multiplication we will get,
![QR=3\cdot Q'R'](https://tex.z-dn.net/?f=QR%3D3%5Ccdot%20Q%27R%27)
![Q'R'=\frac{1}{3} \cdot QR](https://tex.z-dn.net/?f=Q%27R%27%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ccdot%20QR)
We can see that Q'R' is
of Q'R'. Therefore, our factor of dilation is
.
The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A =
and B = ![(x_{2},y_{2})](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29)
at a ratio
from A then:
1. ![x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_%7B1%7Dm_%7B2%7D%2Bx_%7B2%7Dm_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
2. ![y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7By_%7B1%7Dm_%7B2%7D%2By_%7B2%7Dm_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
∵ P partitions AB in the ratio 3 : 4
∴
= 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵ ![x=\frac{(-9)(4)+(5)(3)}{3+4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28-9%29%284%29%2B%285%29%283%29%7D%7B3%2B4%7D)
∴ ![x=\frac{-36+15}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-36%2B15%7D%7B7%7D)
∴ ![x=\frac{-21}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-21%7D%7B7%7D)
∴ x = -3
The x-coordinate of P is -3
∵ ![y=\frac{(-9)(4)+(-2)(3)}{3+4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%28-9%29%284%29%2B%28-2%29%283%29%7D%7B3%2B4%7D)
∴ ![y=\frac{-36+(-6)}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-36%2B%28-6%29%7D%7B7%7D)
∴ ![y=\frac{-42}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-42%7D%7B7%7D)
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
Learn more:
You can learn more about the mid-point of a segment in brainly.com/question/5223123
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