Answer:
Alex is reading faster by 5 more pages per hour.
Step-by-step explanation:
Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.
Answer:
The answer to your question is Center = (-3, 5) radius = 8
Step-by-step explanation:
Data
(x + 3)² + (y - 5)² = 64
Process
Because of the characteristics of the equation, we conclude that it is a circle.
Standard form of a circle:
(x - h)² + (y - k)² = r²
In this form of the equation, the center has coordinates (h, k), just change the signs.
And to get the radius, just get the square root of r²
h = -3
k = 5
r = 8
Center = (-3, 5)
radius = 8
Answer:
7.72 * 10^15
Step-by-step explanation:
8*10^15 - 2.8*10^14 = 7.72 * 10^15
Answer:
This case has NO solutions.
Step-by-step explanation:
Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.
This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":
As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).
Therefore, there is no angle we can find to build a triangle with the given data.
450/30
15
15/3x =5
x= 5
5+2y= 315
5-5+2y =315-5
2y = 310
2y/2 = 310/2
y=155
Step-by-step explanation:
450/45
10
2x+4y=450
2×5=10
10+(4×155)
=620/155
=4
10/5=2
