Answer:
y=40
Step-by-step explanation:
The formula for Direct Variation is y=kx or k=y/x. In this case I would use k=y/x. If you're y is 8 and x is 3, this means that K=8/3. Using this, we know that X=15. We have to find a Y value so that the fraction with an x of 15 simplified is 8/3. To do this you would write 8/3 and y/15. Now cross multiply to get 3y=120. Divide by 3 to get y=40. View my attachment for the work!
Answer:
Step-by-step explanation:
2x^3(x^2 + 5x - 11)
Answer:
x=21
Step-by-step explanation:
The two angles form a straight line so they add to 180
6x+2+52 = 180
6x+54= 180
Subtract 54 from each side
6x+54-54 = 180-54
6x= 126
Divide by 6
6x/6 =126/6
x = 21
Answer:
381.70350741116 inches^3
Step-by-step explanation:
4/3 πr^3 = 4/3 x π x 4.5^3 = 381.70 inches ^3
Answer:
The right answer is: 14,256 cubic inches
Step-by-step explanation:
First of all, let's identify the dimensions of the tank and convert them to inches
Knowing that 1 Feet = 12 inches
So, the dimensions of the tank, expresed in inches will be:
Height (H): 2 ft. x 12 = 24 inches
Width (W): 1.50 ft. x 12 = 18 inches
Lenght (L): 3 ft. x 12 = 36 inches
Before calculating the volume of water inside the thank, We must consider that <em>there are two inches of empty space at the top.</em>
So , We must substract 2 inches to the height to calculate the volume.
Then, the height used for calculating the volume will be:
H'= 24 inches - 2 inches = 22 inches
Then,
Volume (V)= W x L x H'
V= (18 inches) x (36 inches) x (22 inches)
V= 14,256 cubic inches
