Answer:![sin(B)=\frac{3}{5}](https://tex.z-dn.net/?f=sin%28B%29%3D%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
We are given that a triangle ABC is a Right Angled Triangle. The side AB is hypotenuse, so the angle opposite to side AB which will be angle C is a Right Angle (measures 90 degrees)
We have the side length of all 3 sides. Based on this information, we can construct a triangle with given measures. The triangle is shown in the attached image.
We have to find the value of Sin(B). Sin of an angle is defined as:
![sin(\theta)=\frac{\text{Opposite Side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%5Cfrac%7B%5Ctext%7BOpposite%20Side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
The side opposite to angle B is AC with a length of 3 and hypotenuse is side AB with length 5. So Sin of angle B would be:
![sin(B)=\frac{3}{5}](https://tex.z-dn.net/?f=sin%28B%29%3D%5Cfrac%7B3%7D%7B5%7D)
Answer:
4x^2 -12x +9 ft^2
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
A = (2x-3) ^2
A = (2x-3) (2x-3)
FOIL
first 2x*2x =4x^2
outer 2x (-3) = -6x
inner -3*2x = -6x
last -3*-3 = 9
Add them together
4x^2 -6x-6x +9
Combine like terms
4x^2 -12x +9
The area is 4x^2 -12x +9 ft^2
1st one is true and second one false.
Answer: 27,81
Step-by-step explanation:
First you do 3*3=9
9*3=27
27*3=81
So the sequence will be 3,9,27,81
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