A cylindrical gasoline tank is 50 ft high and has diameter 70 ft. How many gallons of gasoline will the tank hold if there are 7.5 gallons in 1 ft3 ?

Answers

Answer 1

Answer: Let's start with what we know.
Height (h) = 50ft
Diameter (d) = 70ft
1ft³ = 7.5 gallons

To answer this, we first need to know the equation used to calculate the volume of a cylinder:

V = πr²h

Looking at that equation, you might notice it requires the radius (r) while we only have the diameter. Fortunately, the radius is simply one-half of the diameter so:

d/2 = r
70ft/2 = r
r = 35ft

Now that we know r, we can calculate the volume of the tank:

V = πr²h
V = π x (35)² x (50)
V = π x 1225 x 50
V = π x 61250
V ≈ 192422.6 ft³ when you round to the nearest tenth

So now we know this tank's volume is 192,422.6ft³

Since 1ft³ = 7.5 gallons, we can multiply 7.5 by the volume to see how much gas it can hold.

7.5 x 192422.6 = 1,443,165 gallons of gasoline

Answer 2

Answer:

Answer:

1,443,165 gallons of gasoline

Step-by-step explanation:

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If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units, how far from the center are the foci located?

Answers

Answer:

2.365 unit far away the center are the foci located.

Step-by-step explanation:

Given : If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units.

To find : How far from the center are the foci located?

Solution :

The eccentricity of an ellipse is defined as

$e=(c)/(a)$

Where, e is the eccentricity

c is the distance from center to focus

a is the distance between focus to vertex.

We have given,

Eccentricity of an ellipse is 0.43 i.e. e=0.43

The distance between focus to vertex is the half of the length of its major axis.

i.e. $a=(11)/(2)$

Substitute in the formula,

$0.43=(c)/((11)/(2))$

$c=0.43* (11)/(2)$

$c=2.365$

Therefore, 2.365 unit far away the center are the foci located.

At an amusement park, the probability that a child eats popcorn and cotton candy is 0.58. The probability that a child eats popcorn is 0.69, and the probability that a child eats cotton candy is 0.87. What is the probability (rounded to the nearest hundredth) that a child eats popcorn given that the child has already eaten cotton candy?0.84
0.67
0.40
0.79

Answers

the answer to your question is 0.67

13 is 40% of what number

Answers

translate
percent means parts out of 100 so 40%=40/100=0.4
'of' means multiply

13 is 40% of what
13=0.4 times what
divide both sides by 0.4
32.5=what

the number is 32.5

Its 32.5. How I got this answer is you would usually multiply 'that number' by 40%, but since we don't know it we divide 13 divided by 0.4(40% in decimal form) and that gives you 32.5. And to check your answer you do 32.5 multiplied by 0.4 to get 13.

7w−(2 w)=2(3w−1) w = 0 w=12w=12 all real numbers no solution

Answers

Hello there.

7w−(2 w)=2(3w−1) w = 0 w=12w=12 all real numbers no solution

no solution

Complete the square and wright in standard form x^2+y^2-8x-12+52=36

Answers

x² + y² - 8x - 12y + 52 = 36
x² - 8x + y² - 12y + 52 = 36
x² - 8x + y² - 12y = 88
(x² - 8x + 16) + (y² - 12y + 36) = 88 + 16 + 36
(x - 4)² + (y - 6)² = 138
(h, k) = (x, y) = (4, 6)

$x^2+y^2-8x-12y+52=36 \nx^2-8x+16+y^2-12y+36-16-36+52=36 \n(x-4)^2+(y-6)^2-52+52=36 \n\boxed{(x-4)^2+(y-6)^2=36}$

Help (Ignore the bottom question, only help solve number 3. Please also ignore the numbers I’ve wrote in the boxes.)