Answer:
It is proved that
.
Step-by-step explanation:
We already have the identity of x as
.......... (1) .
So, from equation (1) we can write that
![\cos ^{2} x = 1 - \sin ^{2} x](https://tex.z-dn.net/?f=%5Ccos%20%5E%7B2%7D%20x%20%3D%201%20-%20%5Csin%20%5E%7B2%7D%20x)
⇒ ![6\cos ^{2} x = 6 - 6 \sin ^{2} x](https://tex.z-dn.net/?f=6%5Ccos%20%5E%7B2%7D%20x%20%3D%206%20-%206%20%5Csin%20%5E%7B2%7D%20x)
⇒ ![6\cos ^{2} x -3 = 6 - 6 \sin ^{2}x -3](https://tex.z-dn.net/?f=6%5Ccos%20%5E%7B2%7D%20x%20-3%20%3D%206%20-%206%20%5Csin%20%5E%7B2%7Dx%20-3)
⇒
Hence, it is proved that
. (Answer)
Every day, it increases by 8 inches. We know that it started at 16 inches.
We can construct an equation with this information.
Equation: 16+8x=h
h=Height
x=Days
Plug in 12 for x:
16+96=h
h=112 inches
Answer: The plant will be 112 inches tall in 12 days.
Answer:
The length of the square is 10 meters.
Step-by-step explanation:
First, you need to know that a square has four equal sides, and that finding the area of a square means multiplying one side by another side. This means that if you know the area of the square, all you have to do is find the square root of the area to find a side length. So, by using a calculator, you can find that the square root of 100 is 10, which is the length of one side of the square.
The volume of the box will be equal to V= 288 cubic inches.
<h3>What is volume?</h3>
Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
The given parameters of the box are:-
12 inches long
6 inches wide
4 inches tall
So the volume of the box will be:-
V = L x W x H
V = 12 x 6 x 4
V = 288 square inches
Therefore the volume of the box will be equal to V= 288 cubic inches.
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