Answer:
4^(-2)
Step-by-step explanation:
4^6 * 4^-8
Since the bases are the same, and we are multiplying, we can add the exponents
4^(6-8)
4^(-2)
3/10 is it because the greatest common factor is 2.
Answer:
(-1,0)
Step-by-step explanation:
Given that ;
1 minute= 1 revolution
2minutes=2 revolution
30seconds, 0.5 minutes= 1/2 a revolution
Hence;
2 minutes 30 seconds will be two and a half revolutions
2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds
Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)
The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)
Hence (1,0) will be mapped to (-1,0)
Answer:
y= 3
Step-by-step explanation:
The triangle on the left is a right triangle, so we can use trig functions to solve for the missing side, y.
First, find the length of the side that both triangles are connected to.
tan30=x/9
Isolate the x variable and solve.
9(tan30)=x
x= 5.19615
Now use the Pythagorean Theorem to solve for the side length, y.
a^2+ b^2 = c^2
(5.19615)^2+ b^2= 6^2
c= 3
