Answer:
Step-by-step explanation:
Answer:
1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)
V = pi(4)^2(6)
V = 301.59
Rounded* = 301.6
2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3
4/3pi(18)^3
D = 24429.02
Rounded* = 24429.0
I cant read the last one completely, hope this helps.
Area of rectangular prism is given by:
A=2(wl+hl+lw)
where w=width h=height, l=length
checking for given options
1. 8 ft, by 4ft by 3ft
Area = 136 square feet
5. 3 feet by 5 feet by 7 feet
Area =142 square feet
so our first and last option matches the requirement of area less than 160 square feet.
Answer:
Step-by-step explanation:
Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line
Having the point P(3,5) substitue x to verify y
y=2*(3)-1=6-1=5 (3,5)
Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found
![d_{AP}=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}=\sqrt{(5-7)^{2}+(3-(-2}))^{2}}=\\\sqrt{(-2)^{2}+(5)^{2}}=\sqrt{29}](https://tex.z-dn.net/?f=d_%7BAP%7D%3D%5Csqrt%7B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%2B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%7D%3D%5Csqrt%7B%285-7%29%5E%7B2%7D%2B%283-%28-2%7D%29%29%5E%7B2%7D%7D%3D%5C%5C%5Csqrt%7B%28-2%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%3D%5Csqrt%7B29%7D)
and we found the distance PQ and QA
;
, ![d_{QA}=12](https://tex.z-dn.net/?f=d_%7BQA%7D%3D12)
be the APQ triangle we must find <APQ through the cosine law (graph 2).