A. Is the attached image. The slope is 7.5x
b. 1 = 7.5x
x = 1.33333…
This is hours so we must multiply this by 60
x = 8 min
Answer:
The slope = 3/4
Step-by-step explanation:
m = 3/4
Answer:
Add 4 to each side
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
To find the combined length of Pine and Elm and the lengths together
Pine +Elm
We are estimating by rounding to the nearest whole number
Pine is 2.7 so it rounds to 3 because we look at the .7 and since .7 is greater than .5 it rounds the 2 to 3
Elm is 8.9 so it rounds to 9 because we look at the .9 and since .9 is greater than .5 it rounds the 8 to 9
2.7 + 8.9 rounds to 3+9 = 12
12 is reasonable because the actual answer is 2.7+8.9 = 11.6 which rounds to 12
We'll use the following properties of sine and cosine to prove this:
Then it's just a matter of filling it in...
sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =
1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =
1/8(1 - cos160 - cos120 + cos200) =
1/8(1 - cos160 - cos120 + cos160) =
1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16