Answer:
7/11
Step-by-step explanation:
Option 3: a 90 degree rotation clockwise
You can tell that it is 90 degrees because the original started completely in quadrant 2 and the final image is completely in quadrant 1. If it was only rotated 45 degrees the final image would be part in quadrant 2 and part in quadrant 1. It was rotated clockwise because that is the way a clock goes.
Hope this helps! ;)
Answer: The height is 6.07 meters
Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;
Tan 34 = opposite/adjacent
Tan 34 = h/9
0.6745 = h/9
0.6745 x 9 = h
6.0705 = h
Therefore the approximate height of the barn to the ground is 6.07 meters
Answer:
B
Step-by-step explanation:
When looking at the number line, we can see the distance between A and B is one unit
A |-2| + |-1| = 2+1 =3 That is not 1 unit
B 2-1 =1 that is 1 unit
C -2 + -1 = -3 that is not 1 unit
D |-1| - (-2) = 1 + 2 =3 that is not 1 unit
Even though it says all expressions, there is only 1 that shows a distance of 1 unit
Answer:
A
Step-by-step explanation:
I am to determine the future value of Thomas' deposit with annual compounding
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
840 x (1.075)^5 = 1205.93
I am to determine the future value of Sherill's deposit in 5 years using simple interest
The amount that would be in the account = amount deposited + interest earned on deposit
interest earned on deposit can be determined by determining the simple interest
Simple interest = amount deposited x time x interest rate
1250 x 0.069 x 5 = 431.25
Amount that would be in her account after 5 years = 1250 + 431.25 = 1681.25
Sheril's money is higher by - 1681.25 - 1205.93 = 475.32
