Explanation:
1.angels on a straight line add up to 180degrees
2.when you see the signs at number 6 and 7 it means it is 90 degrees
EG. number 6.it will be 90degrees+29degrees=119degrees remember that all angles on a straight line add up to 180 degrees. to get angel xwy you will subtract 119 degrees from 180 degrees =xwy which is 61 degrees
Answer:
37.5 miles per hour
Step-by-step explanation:
The traffic along a stretch road moves at an average speed that carried inversely as the number of cars
Average speed= k/number of cars.
When there are 1,500 cars the average speed is 45
The first step is to calculate the constant k
45= k/1500
k = 1,500 × 45
k= 67,500
Therefore the average speed when there are 1,800 cars can be calculated as follows
Average speed= 67,500/1,800
= 37.5 miles per hour
Hence the average speed is 37.5 moles per hour
Answer: c)
.
Step-by-step explanation:
Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that

Given function :
Interval : [0,3]
Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that


Since 
then, at x=c, 
From (i) and (ii), we have

Hence, the correct option is c)
.
Answer:
y=x² +6
Step-by-step explanation:
This is the only 2nd-degree equation in the group: y = x² + 6. The others are linear equations.
Answer:
9.42 years (= 113 months)
Step-by-step explanation:
Use the compound rate interest formula:

where:
- A = amount
- P = principal
- r = interest rate (in decimal format)
- n = number of times interest is compounded per unit t
- t = time
Given:
- A = $7850
- P = $5000
- r = 4.8% = 0.048
- n = 12
- t = years




Take natural logs:




