Answer:
A. C.
Step-by-step explanation:
Answer: Heyaa! ~
10. 8√2
11. 2h²√3
12. 2h³√5k⁴
Step-by-step explanation:
<em>- Lets solve it together! </em>
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Hopefully this helps you!
Original height = original width = x mm
1. She made an enlarged copy...
height = 2x
width = 2x
2. She cut off a rectangle...
height = 2x
width =
3.She doubled the width...
height = 2x
width =
height * width = area
Original height was
162 mm
consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
( 'x' is not 144 .)
The supplement of an angle is (180 - x) .
The problem says that (2/3) of 'x' is equal to (180 - x) .
180 - x = 2/3 x
Multiply each side by 3 :
( Note: 3 x 180 = 540 .)
540 - 3x = 2x
Add 3x to each side:
540 = 5x
Divide each side by 5 :
<u>x = 108°</u> .
