A completely full cylindrical storage tank of Ski with a diameter of 60 feet and a
height of 50 feet sprung a leak. You are able to catch the liquid in rectangular prisms
with the dimensions 5ft by 6ft by 10ft. How many rectangular prisms are needed?
Justify your answer by writing sentences and showing your work.

Answers

Answer 1

Answer:

471

Step-by-step explanation:

Volume of liquid in the tank:

V = πr²h = πd²h/4V = 3.14*60²*50/4 = 141300 ft³

Volume of each prism:

V = lwh V = 5*6*10 = 300 ft³

Number of prisms needed:

141300/300 = 471

Related Questions

The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are found to be complementary. find the height of the tower.​

Answers

Answer:

132 m

Step-by-step explanation:

Refer to attachment for figure.

In smaller triangle with angle theta , we have ,

⇒ tanθ = p/b

⇒ tanθ = h/121m

tanθ = h/121 m

In triangle with angle 90-∅

⇒ tan(90-θ) = p/b

⇒ cot θ = h/144 m

Multiplying these two ,

=> tanθ . cotθ = h/121 m × h/144m

=> 1 = h²/ (121 m × 144m )

=> h² = 121m × 144m

=> h= √ ( 121m × 144m)

=> h = 11m × 12m

=> h = 132 m

PLEASE HELP!!! 30+ POINTS

Use the following data to construct a frequency table and calculate the mean, mode, and median.

Answers

Answer:

A measure of average is a value that is typical for a set of figures. Finding the average helps you to draw conclusions from data. The main types are mean, median and mode. Data is also often grouped.

Step-by-step explanation:

To find the mean add all the ages together and divide by the total number of children.

If you type all those ages into a calculator it is easy to make an error.

ANSWERS FOR THESE PLEASE DOESNT HAVE TO BE ALL OF THEM

Answers

Step-by-step explanation:

y-intercept: first one is -6

slope:

(-6,0) (0,-3)

-3-0/ 0- -6 = -3/6 = -1/2

3. TBD

4. slope is 3/6 = 1/2

y - 3 = 1/2(x-2)

y = 1/2x +2

5. -4/2 = 2 slope

y-2 = 2(x-3)

y = 2x -4

WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)

Answers

Answer:

2(n+1)+2

You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.

The height of a seat on a Ferris wheel can be modeled as
H (t) = 47 sin (Fot+ 3 + 52, where tis time in seconds and h(t) is
height in feet.
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 99 feet
B. 94 feet
C. 104 feet
D. 52 feet

Answers

Answer:

Step-by-step explanation:

Its 99

I just took it

Write an equation for the function that includes the points (-2,4) and (-1,8)

Answers

Answer:

If its a linear then the equation is 4x + 8

Step-by-step explanation:

The radius of a circle is 18 in. Find its circumference in terms of T.

Answers

Answer:

36π

Step-by-step explanation:

NOTE : I am assuming that T means π.

The formula for circumference is 2πr, so 2*r = 2*18 = 36.

Since we are leaving it in terms of π, the answer is 36π

How do I do this I don’t understand it

Answers

Answer:

you graph it on the LINE and find the slope

What negative integer divided by positive 5 would = -6

Answers

Answer:

-30

Step-by-step explanation:

multiply 5*6 =30

since you are working with only one negative number the answer is also negative

I need help with this question pls

Answers

Answer: the third one

Step-by-step explanation:

Can you solve my question please, you will get brainlest, points, and stars!!!

IMPORTANT::: Write the #? Next to the answer.
Like for example there’s question #1,
Answer: #1 : .........e.t.c.
Then you write the answer.
Hope you get it!

Answers

Answer:

Below.

Step-by-step explanation:

One standard form of the equation of a straight line is

y = mx + c where m = the slope and c = the y-intercept.

Comparing this with y = 3x - 6 we see that:

The slope = 3 and the y-intercept is -6.

The error was in the y-intercept.

#2.

The error is in stating the intercepts

x - intercept is (8, 0) and y-intercept = (0, 2), (NOT (8, 2)).

#3.

The error is in stating the intercepts

x - intercept is (5, 0 and y-intercept = (0, 2).

How do I solve this arithmetic sequence?

Answers

Arithmetic sequence means you add a constant d to a term to get the next.
In other words, a1 = 13, then
a2 = a1 + 4 = 13 + 4 = 17
a3 = a2 + 4 = 17 + 4 = 21
And so on.
There is a formula to find larger terms.
Since a2 = a1 + 4
a3 = a2 + 4
= (a1 + 4) + 4
= a1 + 2*4
a4 = a3 + 4
= a1 + 2*4 + 4
= a1 + 3*4
And so on, notice the pattern:
an = a1 + (n-1)*d
a6 = a1 + 5*d = 13 + 5*4 = 13 + 20 = 33

Answer:

The 6ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 13

Common Difference = (d) = 4

Now, For 6ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₆ = 13 + (6 - 1) × 4

a₆ = 13 + 5 × 4

a₆ = 13 + 20

a₆ = 33

Thus, The 6ᵗʰ term of this sequence is 33

-TheUnknownScientist

Plot the value(s) on the number line where this function is equal to zero:

f(x) = (x + 5)(x − 1).

Answers

Step-by-step explanation:

if f(x)=0

then

(x+5)=0 and

(x-1)=0

solve for x

x=-5 and x=1

those are the two values where the function equals zero

Hope that helps :)

Answer:

Step-by-step explanation:

Hope this Helps ;)

Find the area of the figure.



A. 180 sq. ft
B. 38 sq. ft
C. 152 sq.ft
D. 150 sq.ft
E. 44 sq.ft

Answers

Answer:

D 150 sq ft

Step-by-step explanation:

10x12 = 120

1/2(10)(6) = 30

120+30 = 150

PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!

Answers

Answer:

x = 106.5

Step-by-step explanation:

0.4695 = 50/x

0.4695x = 50

x = 106.5

PLEASE HELP!! Find the circumference of circle K. Round your answer to the nearest hundredth. Circumference = ft

Answers

Answer:

12.57 ft

Step-by-step explanation:

Since triangle ∆EFH is a right angled triangle,side |EF| can be determined by

Sin© = Opposite side ÷ hypothenus side where © is the given angle in the triangle

Sin 60 = 2✓3 ÷ |EF||EF| = 2√3 ÷ sin 60|EF| = 2√3 ÷ 0.8660|EF| = 4ft

Since Line |EF| is a straight line that passes through the centre of the circle and touch two sides of the circumference,

line |EF| is the diameter of the circle

Circumference = 2πr where r = radiusradius = diameter ÷ 2radius = 4 ÷ 2radius = 2 ft

Circumference = 2πr Circumference = 2 × 22/7 × 2Circumference = 12.57 ftCircumference = 12.57 ft

What is the value of x?
Enter your answer in the box.

Answers

Answer:

183

Step-by-step explanation:

982

Answer:

45

Step-by-step explanation:

You can use the degrees to find the answer. A right triangle always adds up to 180 degrees. The right angle is 90 degrees.

X + Angle A + Angle B = 180 degrees.

Substitute.

X + 90 degrees + 45 degrees = 180 degrees.

Add them up.

x + 135 degrees = 180 degrees.

now subtract 135 from both sides.

x = 45

0. The mean of the numbers 4, 3, 3, x is 5
Find x.
A. 20
B. 10
C. 5.
D. 4​

Answers

Answer:

x = 10.

Step-by-step explanation:

From the definition of the mean:

(4 + 3 + 3 + x) / 4 = 5

4 + 3 + 3 + x = 20

x + 10 = 20

x = 10.

Please Help me on this question

Answers

Answer:

yellow

Step-by-step explanation:

Its yellow hipe this helps

Someone help NO LINKS/WEBSITES PLZ and I will mark brainiest if it’s right :)

Answers

Answer:

I think it would be B) 47.   Sorry if wrong

Step-by-step explanation:

please help immediately

Answers

Answer:

the answer should be 1920

hope this helped and have a good weekend :D

how do you solve 25 and 2/3 when 2/3 is the exponent of 25

Answers

Answer:

Step-by-step explanation:

Im not fully sure about what your asking

If you are attempting to search the answer use ^ than parentheses, 25^(2/3)

If you want to know what 25 to the power of 2/3 is, it is 8.549

Answer to comment:

for fractions the numerator will become the square amount and the denominator will become the sqrt so

25^(2/3)= 25^2=625 = cube root of 625

(i dont know how to get the root symbol in on this so image cube root is just 3 then the root symbol)

A + B = C which is correct.


|C| = A

|C| > |A|

C > 0

C < 0

Answers

Answer:

i think a is correct

Step-by-step explanation:

a is the correct answer. good luck

HELP FOR TEST PLZ
find measure of angle 1

Answers

Answer:

the answer should be 98

Step-by-step explanation:

try it

Select the correct answer. What are the solutions of this quadratic equation?

6x^2 + 6 = 12x + 18

[tex]x = 1 + \sqrt{3} [/tex]
[tex]x = 2 + 2 \sqrt[]{3} [/tex]
[tex]x = 2 + \sqrt{6} [/tex]
[tex]x = - 1 \: and \: x = 3[/tex]


Answers

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3

Translate this sentence into an equation. 53 is the sum of 10 and Malik's savings. Use the variable m to represent Malik's savings.

Answers

Answer:

m+10=53

Step-by-step explanation:

maliks savings=43

a-b³
pls telll
i neeed​

Answers

Answer:

a-b³=a³-3a²b+3ab²-b³

hope it is helpful to you

Francis surveyed a random sample of 70 7070 students at Franklin High School about their favorite season. Of the students surveyed, 18 1818 chose fall as their favorite season. There are 1816 18161816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall? Choose 1 answer: Choose 1 answer:

Answers

Answer:

467

Step-by-step explanation:

Determine the percentage of those sampled whose favourite season is fall

(18/70) x 100 = 25.7%

the sample is representative of the population of students. So, 25.7% of the students would like fall

number of students at Franklin High School whose favourite season is fall = 25.7% x 1816 = 466.7 students

rounding off to the nearest whole number gives 467

Answer:

467

Step-by-step explanation:

Kendra spends $15 buying fabric to make baby blankets.She can make 4 blankets from one pice of fabric.If she sells the blankets for $10 each٫what is her profit?

Answers

Answer:

her profit is $25

Step-by-step explanation:

Given that

She spends $15 for purchasing fabric so that she make the baby blankets

And, she can make 4 blankets from one piece of fabric

Now she sold the blankets for 10 each

So we need to find out the profit

As we know that

Profit = Selling cost - purchasing cost

= (4 × $10) - $15

= 40 - $$5

= $25

hence, her profit is $25

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x=2√5

Step-by-step explanation:

1st method:

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

2nd method:

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

3rd method:

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

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