Answer:
10
Step-by-step explanation:
Slope (m) of two points is expressed as :
m = (y2 - y1) / (x2 - x1)
Given m = 2
the equation becomes;
2 = (r - 2) / (10 - 6)
2 = (r - 2) / 4
cross multiplying becomes ;
2 * 4 = r - 2
8 = r - 2
r = 10
Answer: See explanation
Step-by-step explanation:
John said he can find 38×10 by adding a 0 to the end of 38 to get 380. John finds 46.52×10 using the same method and gets 46.520.
For the first one that is, 38 × 10 = 380, John is correct. For the second one, that is, 46.52 × 10 = 46.520. John is incorrect. In this case, the first one is correct because John was multiplying by a whole number.
For the second one involving a decimal, John could have shifted the decimal point one place to the right and not add 0 to the end. Then he will get:
46.52 × 10 = 465.2
R = 60
60^2 * pi = 3600 * pi
angle = 30°
3600pi / 30 = 120pi
the answer is 120 * pi
Answer:
The answer is 17
Step-by-step explanation:
8^2+15^2=c^2
64+225=c^2
289=c^2
Square root both sides
c=17
Number of weekend minutes used: x
Number of weekday minutes used: y
This month Nick was billed for 643 minutes:
(1) x+y=643
The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44
We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44
Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y
Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44
Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72
Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243
Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400
Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
