The linear equatic

Anna71 [15]

9514 1404 393

Answer:

42,412 ft³ each tank

84,823 ft³ both tanks added together

Step-by-step explanation:

"Congruent in size" means both tanks have the same dimensions. Each has a radius of 15 ft and a length of 120 ft. Each has half the volume of a cylinder with those dimensions.

The formula for the volume of a cylinder is ...

V = πr²h

where r is the cylinder radius, and h is the length of its axis.

We want the volume of half a cylinder with r=15 and h=120 (dimensions in ft). We can compute that using ...

V = 1/2π(15 ft)²(120 ft) = π(225 ft²)(60 ft)= 13500π ft³

If we want the volume to the nearest cubic foot, we need a value of pi that is at least 7 significant digits (3.14 isn't appropriate). Then the volume is about ...

(13,500)(3.141593) ft³ ≈ 42,411.5 ft³ ≈ 42,412 ft³

Both tanks have a volume of 42,412 ft³ each.

_____

Additional comment

The question, "What is the volume of both tanks?" is ambiguous. We're not sure if the combined volume is intended, or if the volume of each of the two tanks is intended. Both numbers are provided, so you can sort it out as you see fit.

7 0

3 years ago

The parking lot had 1.5 times as many trucks as cars. After 45 more cars came to the parking lot and 12 trucks left, there were

Harlamova29_29 [7]

Answer:

Total number of cars in the parking lot are 80.

Step-by-step explanation:

Let the number of cars = x and the number of trucks = y

Since, there are 1.5 times many cars than the truck, we get,

Number of cars = 1.5 time number of trucks

i.e. $y=1.5x$

Also, it is given that when 45 cars were added in the lot, 12 trucks left the parking lot.

So, we get,

Number of cars + 45 = Number of trucks - 12

i.e. $x+45=1.5x-12$

Finally, there are 17 cars more than the trucks.

We have the required equation, $x+45=1.5y-12+17$

i.e. $x+45=1.5x+5$

i.e. $45-5=1.5x-x$

i.e. $40=0.5x$

i.e. x= 80

Thus, the total number of cars in the parking lot are 80.

7 0

4 years ago

Writing an equation of a line given its slope and y-intercept

Allushta [10]

Slope intercept form is $y=mx+b \to y=-3x+4$

7 0

3 years ago

Read 2 more answers

Please help and explain, thanks so much. 2x^3 y^8 / 4y^2

natta225 [31]

Answer:

$2 {x}^{3} {y}^{8} \div 4 {y}^{2} \\ = {x}^{3} {y}^{8} \div 2 {y}^{2} \\ = {x}^{3} {y}^{8 - 2} \div 2 \\ = {x}^{3} {y}^{6 } \div 2 \: \: \: ans$

Step-by-step explanation:

Plz make it brainlist answer your questions have been solved

7 0

3 years ago

Sloane kicked a soccer ball at a speed of 48 feet per second. If the ball never leaves the ground, then it can be represented by

Ierofanga [76]

Answer:

For t = 0.33 s, H = 14.0976 feet;

For t = 3 s, H = 0 feet;

For t = 16 s, H = -3328 feet;

For t = 48 s, H = -34560 feet.

Step-by-step explanation:

Assuming there's a typo on the problem and it wishes to determine the distance traveled by the ball in the given times instead of the time, we can solve it as shown below:

For t = 0.33 s:

$H(t) = -16*t^2 + 48*t\\H(0.33) = -16*(0.33)^2 + 48*0.33\\H(0.33) = -1.7424 + 15.84\\H(0.33) = 14.0976 \text{ feet}$

For t = 3 s:

$H(t) = -16*t^2 + 48*t\\H(3) = -16*(3)^2 + 48*3\\H(3) = -144 + 144\\H(3) = 0 \text{ feet}$

For t = 16 s:

$H(t) = -16*t^2 + 48*t\\H(16) = -16*(16)^2 + 48*16\\H(16) = -4096 + 768\\H(16) = -3328 \text{ feet}$

For t = 48 s:

$H(t) = -16*t^2 + 48*t\\H(48) = -16*(48)^2 + 48*48\\H(48) = -36864 + 2304\\H(16) = -34560 \text{ feet}$

7 0

3 years ago

Read 2 more answers