Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve
and replace the result in the initial equation as:

Then, this equality apply only if the coefficient of
is equal in both sides and the constant is equal in both sides.
It means that we have two equations:

So, using the first equation and solving for a, we get:

Finally, replacing the value of a in the second equation and solving for b, we get:

Answer:
395.85
Step-by-step explanation:
If the diameter is 12, then the radius must be 6. Following the formula of pi: 2 * pi * radius, our result is 37.7. 37.7 * 10.50 is 395.85
I really hope this helps. My memory of circles and pi isn't the best.
Answer:
2520 gallons
Step-by-step explanation:
3000 gallons -780 gallons drained over 6 hours then add 300 gallons over three hours = 2520 gallons
Answer:
You make me feel like I can do anything and I am so happy to be with you. Thank you for being the wonderful, amazing person that you are. You surprise me every day and you warm my heart every night. I am the person I am today because you've loved me and helped me, love.
Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE