Answer:

Step-by-step explanation:
To calculate the angles of the given triangle, we can use the law of cosines:

Then, given the sides a=2, b=9, and c=8.

For B:

Answer:
113.1
Step-by-step explanation:
Volume of sphere =
× π × r²
Volume of sphere =
× π × 3²
Volume of sphere =
× π × 9
Volume of sphere =
× 9 π
Volume of sphere = 113.1
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
Answer:
Step-by-step explanation:
To do this you have to figure each out in gallons per minute.
25/3 = 8 1/3. This means that the gas is going into the truck at a rate of 8 1/3 gallons per minute.
40/5 = 8. This means that the water is going into the tub at a rate of 8 gallons per minute.
The gas is flowing into the truck faster.