Answer:
60 m^2
Step-by-step explanation:
To solve the area, solve the triangle and rectangle separately.
Solve the rectangle:
Multiply 10 and 4 to get the area of 40 m^2.
Solve the triangle:
Multiply 10 and 4, then divide by 2. The formula for a triangle's area is base*height/2. The area is 20.
Add together:
40+20 = 60 m^2
7+8 is the answer
But it can also be 11
I am setting the week hourly rate to x, and the weekend to y. Here is how the equation is set up:
13x + 14y = $250.90
15x + 8y = $204.70
This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7. Now it equals:
52x + 56y = $1003.60
-105x - 56y = -$1432.90
Now we add these two equations together to get:
-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10. This is how much she makes per hour on a week day.
Now we can plug in our answer for x to find y. I am going to use the first equation, but you could use either.
$105.30 + 14y = $250.90. Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40
Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends. Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
Volume = <span>πd^2h/4
245 = </span><span>π x d^2 x 5/4
d^2 = (245 x 4)/5</span><span>π = 62.39
d = sqrt(62.39) = 7.9 units
</span>
Answer:
6:10
Step-by-step explanation:
To solve this problem, find the time 2 hours and 14 minutes before 8:24.
2 hours before 8:24 is 6:24.
14 minutes before 6:24 is 6:10.
Therefore, Nina started skating at 6:10.
