Answer:
V≈15927.87 in³
Step-by-step explanation:
The volume of a cylinder is found by multiplying the area of its top or base by its height and is defined as: V = π*r²*· h
Answer:
The solution is -22
Step-by-step explanation:
<em>The solution of an equation is the value of the variable of the equation</em>
∵ -(4x - 3) = -7(9 + x)
→ Simplify each side
∵ -(4x) - -(3) = -7(9) + -7(x)
∴ (-4x) - (-3) = -63 + (-7x)
→ Remember (-)(-) = (+) and (-)(+) = (-)
∴ -4x + 3 = -63 - 7x
→ Add 7x to both sides
∴ -4x + 7x + 3 = -63 - 7x + 7x
∴ 3x + 3 = -63
→ Subtract 3 from both sides
∵ 3x + 3 - 3 = -63 - 3
∴ 3x = -66
→ Divide both sides by 3
∴ x = -22
∴ The solution is -22
Answer:
Identity is verified.
Step-by-step explanation:
We have to verify the identity ![cos(x+\frac{\pi }{2}) = (- sinx)](https://tex.z-dn.net/?f=cos%28x%2B%5Cfrac%7B%5Cpi%20%7D%7B2%7D%29%20%3D%20%28-%20sinx%29)
To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.
In this identity we take the left hand side first
![cos(x+\frac{\pi}{2})](https://tex.z-dn.net/?f=cos%28x%2B%5Cfrac%7B%5Cpi%7D%7B2%7D%29)
(as we know cos(a+b) = cosa×cosb-sina×sinb)
![= cosx\times0-sinx\times1](https://tex.z-dn.net/?f=%3D%20cosx%5Ctimes0-sinx%5Ctimes1)
![= 0-sinx](https://tex.z-dn.net/?f=%3D%200-sinx)
= - sinx ( Right hand side)
Hence identity is proved.
1000 kg
1000 kilo = 1 Mega = 1 M
so
1000 kg = 1 Mg
Answer:
x=30
Step-by-step explanation:
if 30 x 4 = 120 amd 2 = 30 = 60 then 60+120=180