Answer:
D
Step-by-step explanation:
∠1 + ∠2 = 180 {Supplementary angles}
6x + 15 + 3x + 3 = 180
6x + 3x + 15 + 3 = 180
Combine like terms
9x + 18 = 180
Subtract 18 from both sides
9x = 180 - 18
9x = 162
x = 162/9
x = 18
∠2 = 3x +3
= 3*18 + 3
= 54 + 3
∠2 = 57°
Answer:
4 books
Step-by-step explanation:
First you add up the lunch and gym clothes together which is 3. Then you subtract 19 (the total of weight she can carry in her bag) by 3 and you get 16. 16 divided by 4 which is the weight of each book gets you 4, the answer.
I can't draw and upload it, but I can describe it. There are different ways you could make it, here's one: a rectangle divided into 8 equal parts, so it would be made up of 8 smaller equal rectangles either aligned top to bottom or left to right. Five of the rectangles contain hearts and three contain stars.
Answer:
The angular velocity is 8.38 radians per minute
Step-by-step explanation:
From the question,
It takes 45 seconds to complete a full revolution,
That is, 1rev/45secs
First, we will convert this to revolutions per minute (rev/min)
1rev/45secs =
= 4/3 rev/min
Now, we will convert this to radians per minute (rad/min)
1 revolutions = 2π rad
4/3 rev/min =
= 8.38 rad/min
Hence, the angular velocity is 8.38 radians per minute
The average rate of change from x=8 to x=5 can be calculated as:
f(8) = 0
f(5) = 4
Using the values we get:
So, first option gives the correct average rate of change from x=8 to x =5 for the given function.