We know that
volume of a cone=(1/3)*pi*r²*h
<span>If the height of a cone is cut in half
so
h=h/2
and
new volume of a cone=</span>(1/3)*pi*r²*(h/2)----> (1/2)*[(1/3)*pi*r²*h)
the answer is
<span>the volume of the cone is multiplied by 1/2</span>
Hello!
To start, since you already know that you can drive 3000 miles in 75 hours, but you need to know how long it will take to drive 4000 miles, you can solve using a proportion, where x is the amount of hours:
3000/75=4000/x
When you have set this up, cross multiply:
3000*x=75*4000
After you have cross multiplied, you will result in this:
3000x=300000
Then, solve for x and you will get x=100, meaning it will take Cheyenne 100 hours to drive 4000 miles.
Hello!
Formula for surface area of a rectangular prism:
FORMULA:
A = 2(wl + hl + hw)
SUBTITUTE:
A = 2[(3 × 8) + (5 × 8) + 5 × 3)]
SOLVE:
A = wl
A = 3 × 8
A = 24
A = hl
A = 5 × 8
A = 40
A = hw
A = 5 × 3
A = 15
A = 2(24 + 40 + 15)
A = 158
A N S W E R:
The surface area of the prism is 158 cm sq.
The required product of the function is 
We are to find the product of the expression
The product of the functions is expressed as;
![ab = 4cos(\frac{2\pi}{3} )+isin(\frac{2\pi}{3})[2cos(\frac{\pi}{3} )+isin(\frac{\pi}{3}]\\ab=8cos\frac{2\pi}{3}cos\frac{\pi}{3}+ 4i cos\frac{2\pi}{3}sin\frac{\pi}{3} + 2i sin\frac{2\pi}{3}cos\frac{\pi}{3} + i^24i sin\frac{2\pi}{3}sin\frac{\pi}{3} \\ab=8cos\frac{2\pi}{3}cos\frac{\pi}{3}+ 4i cos\frac{2\pi}{3}sin\frac{\pi}{3} + 2i sin\frac{2\pi}{3}cos\frac{\pi}{3} - 4i sin\frac{2\pi}{3}sin\frac{\pi}{3}](https://tex.z-dn.net/?f=ab%20%3D%204cos%28%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%29%2Bisin%28%5Cfrac%7B2%5Cpi%7D%7B3%7D%29%5B2cos%28%5Cfrac%7B%5Cpi%7D%7B3%7D%20%29%2Bisin%28%5Cfrac%7B%5Cpi%7D%7B3%7D%5D%5C%5Cab%3D8cos%5Cfrac%7B2%5Cpi%7D%7B3%7Dcos%5Cfrac%7B%5Cpi%7D%7B3%7D%2B%204i%20cos%5Cfrac%7B2%5Cpi%7D%7B3%7Dsin%5Cfrac%7B%5Cpi%7D%7B3%7D%20%2B%202i%20sin%5Cfrac%7B2%5Cpi%7D%7B3%7Dcos%5Cfrac%7B%5Cpi%7D%7B3%7D%20%2B%20i%5E24i%20sin%5Cfrac%7B2%5Cpi%7D%7B3%7Dsin%5Cfrac%7B%5Cpi%7D%7B3%7D%20%20%20%20%5C%5Cab%3D8cos%5Cfrac%7B2%5Cpi%7D%7B3%7Dcos%5Cfrac%7B%5Cpi%7D%7B3%7D%2B%204i%20cos%5Cfrac%7B2%5Cpi%7D%7B3%7Dsin%5Cfrac%7B%5Cpi%7D%7B3%7D%20%2B%202i%20sin%5Cfrac%7B2%5Cpi%7D%7B3%7Dcos%5Cfrac%7B%5Cpi%7D%7B3%7D%20-%204i%20sin%5Cfrac%7B2%5Cpi%7D%7B3%7Dsin%5Cfrac%7B%5Cpi%7D%7B3%7D)
Note that i² = -1
Hence the required product of the function is
Learn more here: brainly.com/question/9258225
