172,000 is the answer I think
Answer:
Step-by-step explanation:
Circumference of a circle means the perimeter of a circle and it is given be
Perimeter=2πr
P=2πr
Though π is a constant
But this question want us to find π
Make π the subject of the formula
Then, divide both side by
π=P/2r
Given that P=37.7cm
And diameter =12
And radius is half of diameter.
Therefore, radius =12/2=6cm
Then
π=P/2r
π=37.7/2×6
π=37.7/12.
Then, the last option is the correct option
Answer:
Dh/dt = 0.082 ft/min
Step-by-step explanation:
As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of 1 feet and height h = 2 feet.
The volume of a circular cone is:
V(c) = 1/3 * π*r²*h
Then differentiating on both sides of the equation we get:
DV(c)/dt = 1/3* π*r² * Dh/dt (1)
We know that DV(c) / dt is 1 ft³ / 5 min or 1/5 ft³/min
and we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment
By proportion we know
r/h ( at the top of the cone 0,5/ 2) is equal to r/0.5 when water is 1/2 foot deep
Then r/h = 0,5/2 = r/0.5
r = (0,5)*( 0.5) / 2 ⇒ r = 0,125 ft
Then in equation (1) we got
(1/5) / 1/3* π*r² = Dh/dt
Dh/dt = 1/ 5*0.01635
Dh/dt = 0.082 ft/min
<span>Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.But these things will change direction of the inequality: ...<span>Don't multiply or divide by a variable (unless you know it is always positive or always negative)</span></span>
Answer:
<em>See above photograph</em>
Step-by-step explanation:
This is how your graph will look like with an x-intercept of [−5, 0] (will not see, according to the scale, but on my device, you can), and a y-intercept of [0, 50]. The way to figure out all the coordinates upon this scale is to simply create a y-x value chart. Plug in each input value [x-value] to get your output value [y-value]:
<u>x|y</u>
0|50
1|60
2|70
3|80
4|90
5|100
6|110
7|120
8|130
9|140
10|150
11|160
Then, you simply just draw your line based of this chart.
I am joyous to assist you anytime.
