Answer:40
Step-by-step explanation:
Answer:
The selling price after the markup is $1.82
Step-by-step explanation:
$1.40 * .30 =
Multiply $1.40 times .30 (which is same as 30%)
$1.40 * .30 = $0.42
Add $1.40 and $0.42
= $1.82
Hope this helps.
The answer is 43.95 in ≈ 44 in
Step 1. Sum up their wingspans which will reflect the perimeter of the tree they wrap.
Step 2. From the calculated perimeter in step 1, find the diameter.
Step 1.
Perimeter of the tree is the sum of their wingspans:
P = 5'6'' + <span>6'
5'6'' = 5 * 12 in + 6 in = 66 in
6' = 6 * 12 in = 72 in
P = 66 in + 72 in = 138 in
Step 2.
Perimeter of a circle with radius r is:
P = 2 r </span>π
Since diameter is twice of radius (d = 2r), then
P = d * π
P = 138 in
π = 3.14
138 in = d * 3.14
d = 138 in / 3.14
d = 43.95 in ≈ 44 in
Work:
4r+14-r-6
^ ^
3r+14-6
^
8
Answer:
3r+8
<u>Step-by-step explanation:</u>
To prove:
![\cos 3x=\cos^3x-3\sin^2 x\cos x](https://tex.z-dn.net/?f=%5Ccos%203x%3D%5Ccos%5E3x-3%5Csin%5E2%20x%5Ccos%20x)
Identities used:
......(1)
........(2)
.......(3)
Taking the LHS:
![\Rightarrow \cos 3x=\cos (x+2x)](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ccos%203x%3D%5Ccos%20%28x%2B2x%29)
Using identity 1:
![\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ccos%20%28x%2B2x%29%3D%5Ccos%20x%5Ccos%202x-%5Csin%20x%5Csin%202x)
Using identities 2 and 3:
![\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ccos%20x%28%5Ccos%20%5E2x-%5Csin%5E2%20x%29-%5Csin%20x%282%5Csin%20x%5Ccos%20x%29%5C%5C%5C%5C%5CRightarrow%20%5Ccos%5E3x-%5Csin%5E2x%5Ccos%20x-2%5Csin%5E2%20x%5Ccos%20x%5C%5C%5C%5C%5CRightarrow%20%5Ccos%5E3x-3%5Csin%5E2x%5Ccos%20x)
As, LHS = RHS
Hence proved