To find the area of the cylinder we need to find its volume first. Remember that the formula for the volume of a cylinder is
where:
is the volume
is the radius
is the height
From the question we know that
and
. Lets replace those values in our volume formula:
Now we can solve for
to find our radius:
Now that we know the radius, we can use the formula for the area of a cylinder
where:
is the area
is the radius
is the height
We know now that
and
, so lets replace those values in our area formula:
We can conclude that the area of a cylinder that has a volume of 175 cubic units and a height of 7 units is
174.07 square units.
Answer:
C. 35
Step-by-step explanation:
Use the equation: y= 10+5x
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.
so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i
6i x 4= 24i
6i x 9i= 54i^2
after you've done this you can move on to putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:
54i^2+51i+12
The square root of 196 is 14
Answer: 4x = -8
Reasoning:
Multiply both sides by 4