This problem really should have the image attached, as we are not quite sure what the radius of the cone is, nor are we sure about how deeply the cone-shaped hole is bored into the cube. When I did this, I just assumed that the radius of the cone was half the length of the cube which is 3.5, and I assumed that the height of the cone was the same as the height of the cube which is 7. So the volume for the cube itself is 7*7*7=343. Now we have to subtract from that the volume of the cube, which has a formula of
If we fill in those values I'm assuming to be accurate, our formula then looks like this:
which equals 89.752 If we subtract the volume of the cone from the volume of the cube, we will get that volume of what's left is
Area of a rectangle is just length x height.
It probably looks confusing because of the numbers. So just change them into only inches; 12 inches in a foot.
So the rectangle is 10ft, 10inches tall...or 10*12+10=130inches
The rectangle is 2ft 11inches wide...or 2*12+11=35 inches
So now just multiple 130*35=4550 inches^2
The number that Samya can be thinking of is 571.
<h3>How to get the number?</h3>
The information stated that Samya was thinking of a number that's is between 560 and 590. It was further stated that the number isn't a multiple of four and that the addition of it's digit will give a prime number.
This will be:
5 + 7 + 1
= 13
In this case, 13 is a prime number. Also, 571 is not a perfect square.
Therefore, the number is 571.
Learn more about multiples on:
brainly.com/question/26856218
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Answer:
K'(-4, 8)
Step-by-step explanation:
Baby my last one if I saw you, I would carry you into bed and go inside you.
First, let's complete the angles in the triangle. Remember that the sum of the angles in a triangle is 180 degrees.
73 + 90 + x = 180
163 + x = 180
x = 17
So, the angle that completes the triangle is 17 degrees. If we look at that angle in the triangle and the one adjacent to it, we can see that those two angles form a linear pair (or are supplementary, both meaning that they add up to 180 degrees).
17 + x = 180
x = 163
So, 17's supplement is 163 degrees. The 163 degree angle corresponds with angle r, and corresponding angles are congruent.
Therefore, angle r is 163 degrees. The correct answer is option C.
Hope this helps!
