Answer: Choice A) The number that is 5 to the left of -3 on the number line.
Explanation:
Refer to the diagram below. The value -3 is 3 units to the left of 0 on the number line. So you start at 0 and move 3 spaces to the left to arrive at -3.
Once you're at -3 on the number line, you'll move 5 more spaces to the left to arrive at -8
We can think of -3+(-5) as -3-5, both of which simplify to -8
Or we can think of it like saying -3+(-5) = -1*(3+5) = -1*8 = -8. Here I factored out a negative 1, and then added. The final result is negative since we're moving to the left in the negative territory.
Grace has a 45 degree upwards angle, then the height of the lighthouse is 14'.
Case A. Kelly is 26 feet from the lighthouse.
The arcTangent of 14/26 is a 28.3 degree angle.
Case B. But if Kelly stood closer to the lighthouse, i.e. 2 feet away, then her angle is arcTangent of 14/2 = 81.9 degrees
Answer:
Growth
Step-by-step explanation:
since the (1.05) is bigger than 1 it is growth but if it was lower then 1 it would be decay .
Jamal's score is 80
<u>Explanation:</u>
Given:
Number of questions = 100
Let w be the number of wrong answers
Let r be the number of right answers
According to question,
r = 4w
r + w = 100
Solving both the equations we get:
4w + w = 100
5w = 100
w = 20
If w = 20 then r = 4 X 20 = 80
Therefore, Jamal's score is 80
Answer:
1. comeptition. base word: compete
2. protection. base word: protect
3.rotation. base word: rotate
4.application. base word: apply
5. division. base word: divide
6. organisation. base word: organise
7. production. base word: produce
8. solution: base word: solve
9. opposition. base word: oppose
10. operation. base word: operate
Step-by-step explanation: