Answer:
x = 22.5
Step-by-step explanation:
∠2 and ∠7 are known as alternate exterior angles. This makes them equal to each other.
100 = 4x + 10
90 = 4x
22.5 = x
Answer:
Volume = 42.8 cubic centimeters
Step-by-step explanation:
The volume of right circular cone is:

Where
r is the radius
h is the height
We are given height of 9.1 cm
h = 9.1
We aren't given radius explicitly, we are given circumference of 13.3, so we need to figure out radius from that. Lets do this:

So,
r = 2.12
Now, substituting in cone formula, we get the volume to be:

Rounded to nearest 10th is 1 decimal place, so
<u>Volume = 42.8 cubic centimeters</u>
Answer:
y=(-5/3)x+29
Step-by-step explanation:
we will use the base formula y=mx+b
In order to be perpendicular, the slope must be the flipped fraction and have the opposite sign, so our m is (-5/3)
y=(-5/3)x+b
You can plug in the (9,14) point in order to find the b
14=(-5/3)(9)+b
14=(-45/3)+b
14=(-15)+b
14+15=b
29=b
and so altogether our equation is y=(-5/3)x+29
Answer:
xy = 3
d/dt(xy) = d/dt(3)
ydx/dt + xdy/dt = 0
y = 3/x so substitute 3/5 for y, 5 for x, and 5 for dy/dt; and solve for dx/dt.
3/5(dx/dt) + 5(5) = 0
3/5(dx/dt) = -25
dx/dt = -125/3
Step-by-step explanation:
this should be able to help you :)
Answer:
4x is the answer
Step-by-step explanation:
3x + x= 4x + x = 5x - x = 4x