By the way, it's pi, not pie. just wanted you to know as you may lose marks in tests for spelling (but i may be wrong)
we know circumference is pi multiplied by the diameter.
the diameter is 2x the radius
we can re-arrange the first fact to get:
diameter (or 2x radius) = circumference divided by pi.
since the circumference is 24pi we can cancel off pi from the circumference (24pi) and pi.
now we have the diameter = 24
since the diameter is 2x the radius you divide both sides by 2 and get:
radius=12cm
A) (x, y) → (3x, 3y)
<h2>
Explanation:</h2>
When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:
- If k > 1, the object will be larger than the original one.
- If k < 1, the object will be smaller than the original one.
If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.
The only option that meets this requirement is:
A) (x, y) → (3x, 3y)
Whose scale factor is k = 3 making the dilated figure larger than the original one.
<h2>Learn more:</h2>
Dilation: brainly.com/question/10946046
#LearnWithBrainly
Measurement of one angle and length of one side I think
Answer:
Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:
so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:
now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:
so we must define p, q, p' and q':
p=ln U
q'=U-5
and now we plug these into the formula:
Which simplifies to:
Which solves to:
so we can substitute U back, so we get:
and now we can simplify:
notice how all the constants were combined into one big constant C.
Answer:Each side of x would be 7 and each side of y would be 4.
Step-by-step explanation:
