Answer:
y = 
Step-by-step explanation:
using the addition formula for sine
sin(x + y) = sinxcosy + cosxsiny
then
sinxcosy + cosxsiny = 
sinx + 
cosx
for the 2 sides to be equal , then
cosy = and siny =
then
y = 
( ) = 
and
y = 
( ) =
thus y =
To solve the area of a cylinder, you need to do steps.
Calculate volume of a cylinder: V = πr2h.
...
Calculate the lateral surface area of a cylinder (just the curved outside)**: L = 2πrh.
...
Calculate the top and bottom surface area of a cylinder (2 circles): T = B = πr. ...
Total surface area of a closed cylinder is:
439.82 square inches
<h2>
The area of a triangle is =54 square units</h2><h2>
The perpendicular distance from B to AC is = 
</h2>
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
The area of a triangle is= ![\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Bx_1%28y_2-y_3%29%20%2Bx_2%20%28y_3-%20y_1%29%2Bx_3%28y_1-y_2%29%5D)
=![|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|](https://tex.z-dn.net/?f=%7C%5Cfrac%7B1%7D%7B2%7D%20%5B2%282-8%2B12%288-1%29%2B12%281-2%29%5D%7C)
=
= 54 square units
The length of AC = 
= 
=
units
Let the perpendicular distance from B to AC be = x
According To Problem
⇔
units
Therefore the perpendicular distance from B to AC is =
Answer:
4.7 and 5.1
Step-by-step explanation:
7.4 only works if it shows less than or equal to inequality
8.05 x 10^8 - 9.16 x 10^6
= 10^6 (805 - 9.16)
= 795.84 x 10^6
= 7.9584 x 10^8
