Divide the diameter by 2 to get the radius and then plug into cone volume pi*r^2*h/3 which is a bit under 160 so the answer is A
For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F
Given:
Temperature at the bottom of the mountain is 74°F
The top of the mountain is 5500 feet above you
Change (reduction) in temperature is 3.3 X 5500 / 1000
= 18.15°F
Temperature at the top of the mountain is 74°F – 18.15°F
= 55.85°F
Answer: x= 34
Step-by-step explanation:
Given: The measurement of the angles of the quadrilateral are as
First angle=88°
Second angle=108°
Third angle= 2x°
Forth angle =(3x-6)°
Now, The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
Therefore,
![88+108+2x+(3x-6)=360\\\Rightarrow196+5x-6=360\\\Rightarrow\ 5x=360-190\\\Rightarrow\ x=\frac{170}{5}\\\Rightarrow\ x=34](https://tex.z-dn.net/?f=88%2B108%2B2x%2B%283x-6%29%3D360%5C%5C%5CRightarrow196%2B5x-6%3D360%5C%5C%5CRightarrow%5C%205x%3D360-190%5C%5C%5CRightarrow%5C%20x%3D%5Cfrac%7B170%7D%7B5%7D%5C%5C%5CRightarrow%5C%20x%3D34)
(2, ∞) ..................................
Answer:
x = 5
Step-by-step explanation:
x^2/(x + 5) = 25/(x+5) Subtract the right side from both sides.
x^2/(x + 5) - 25/(x + 5) = 0
x^2 - 25
======= = 0
x + 5
(x + 5)(x - 5)
============= = 0
(x + 5)
Cancel x + 5 in the numerator and denominator.
x - 5 = 0
x = + 5
Does it check?
x^2/(x + 5) = 25/(x + 5)
x = 5
5^2/(10) = 25/10
25/10 = 25/10 Yes it checks.