Answer:
a. 
b. 
Step-by-step explanation:
I attach the diagram of the new water tank.
a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures 
and its height is 
.
The volume ''V'' of a cylinder is :
Where ''
'' is the diameter of the base and ''
'' is the height of the cylinder.
If we replace all the data in the equation :
We found out that the volume of the tank in cubic feet is
b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.
This equivalence is given to us :
⇒ Using the equivalence ⇒
Finally, the new tank will hold of water.
Answer:
26.4 m
Step-by-step explanation:
The sine of an angle is the ratio between the opposite side of the angle and the hypotenuse. Hence,
sin 40° = 
= 
c = 
<u> c = 26.4 m (3 sf)</u>
<h3>
Answer: x < 9</h3>
Work Shown:
4x - 6 < 30
4x - 6 + 6 < 30 + 6
4x < 36
4x/4 < 36/4
x < 9
Explanation:
The idea is to undo everything happening to x. We follow PEMDAS in reverse. We undo subtraction first by adding 6 to both sides (step 2), then we undo multiplication by dividing both sides by 4 (step 4).
Answer: 0.76
Step-by-step explanation:
We can represent our three consecutive integers as the following:
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
Since the sum is 78, we can setup our equation:
x + (x + 1) + (x + 2) = 78
~simplify
3x + 3 = 78
~subtract 3 from both sides
3x = 75
~divide both sides by 3
x = 25
Since x = 25, x + 1 would be 26 and x + 2 would be 27.
So our three consecutive integers are 25, 26, and 27.
