The equation :
6x - 10 = 32
the number
x = 7
Answer:
7,515
Step-by-step explanation:
Hello !
cos (a+b) = cos a cos b - sin a sin b
sin (a+b) = sin a cos b + sin b cos a
cos (a+b+c) = cos (a+(b+c))
cos (a+b+c) = cos a cos (b+c) - sin a sin (b+c)
cos (a+b+c) = cos a (cos b cos c - sin b sin c) - sin a (sin b cos c + sin c cos b)
cos (a+b+c)=cos a cos b cos c - cos a sin b sin c - sin a sin b cos c - sin a cos b sin c
Answer:
the correct answer is D
Step-by-step explanation:
because the -9 5/8 is in absolute value marks.
Formula for the volume of cone is ![\frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h%20)
Where r= radius of the cone
h = height of the cone
The value of pi is 3.14
Given volume of larger cone is 131 cm^3
Volume of larger cone = ![\frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h%20)
131 = ![\frac{1}{3} \pi 5^2h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%205%5E2h%20)
Solve for h
131 = 26.1667 *h
So h= 5 cm
The height of bigger cone = 5cm
Now we find the volume of smaller cone
Two cones similar so the sides are in proportional
![\frac{radius(small)}{radius(large)}= \frac{height(small)}{height(large)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bradius%28small%29%7D%7Bradius%28large%29%7D%3D%20%20%5Cfrac%7Bheight%28small%29%7D%7Bheight%28large%29%7D%20%20%20)
![\frac{2}{5} =\frac{ height of small}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20%3D%5Cfrac%7B%20height%20of%20small%7D%7B5%7D%20%20)
Height of smaller cone = 2cm
volume of smaller cone = ![\frac{1}{3} \pi 2^2*2](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%202%5E2%2A2%20)
= 8.38cm^3