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

Select the correct answer from each drop-down menu.
The table shows the number of games a chess player won in professional competitions, based on the number of games played.

Games Played (x) 10 15 20 25 30
Games Won (y) 4 10 16 21 25
The line of best fit for the situation is
___.

If the chess player plays 40 games in the next competition, the expected number of games won would be approximately __.
???

Answers

Answer:

36 games won ...............

Answer:

y=1.06x-6

36

Step-by-step explanation:

What is the solution of /x+ 12 - X?
a). X=-3
b) x=4
c) x=-3 or x = 4
d) no solution

Answers

Answer:

???

Step-by-step explanation:

sorry can you format it?

Due tonight.. *no links*

Answers

Answer:

angle z= 96°

angle x = 33

I hope it's helps you

Answer:

z = 96

x = 33

Step-by-step explanation:

Given that g and h are parallel, we can assume that 84 and z will be equal to 180.

[tex]84 + z=180\\z= 96[/tex]

Then we make the , simple algebra work!

[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]

It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.

Find the surface area of the figure below. Leave answer in terms of TT. Round to the nearest hundredth if necessary,
18 km
3247 km2
Ob
4227 km2
Ос
3447 km
Od
12967 km2

Answers

Answer:

Surface area of the figure = 1,296π km²

Step-by-step explanation:

Given figure is a sphere;

Given:

Radius of sphere = 18 km

Find:

Surface area of the figure

Computation:

Surface area of the figure = Surface area of sphere

Surface area of sphere = 4πr²

Surface area of the figure = 4πr²

Surface area of the figure = 4π(18)²

Surface area of the figure = 4π(324)

Surface area of the figure = 1,296π km²

In circle J with mZHLK = 21°, find the angle measure of minor arc HK .
K
H
L
Answer: m HK
Submit Answer
attempt 2 out of 2
PLZ HELP

Answers

Answer:

HK=42°

Step-by-step explanation:

because the arc of HK is two time bigger than HLK measurement

HLK=1/2HK

21°=1/2HK cross production

HK=2×21°

HK=42°

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

See below.

Step-by-step explanation:

The formula for the volume of a sphere

= 4/3  π  r^3 where r = the radius.

So for number 1:

V = 4/3 π (5)^3

= 523 .60 mm^3   to nearest hundredth.

The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4,  r = 30/2 = 15.

PLEASE HELP AND HURRY I NEED THIS NOW PLEASE

The path of a shot thrown during a shot put event can be modeled by the function
f(x)--0.025x2+x+5. In this function, x is the horizontal distance (in feet) from where the shot is
released and f(x) is the height (in feet) of the shot. What is the maximum height reached by the
shot?
A 5 ft
C 15 ft
B. 20 ft
D 35 Ft

Answers

The answer to you problem is going to be 15 ft because you have to find the maximum (vertex) y-value in the vertex

Help me find y..........

Answers

Answer:

2nd

Step-by-step explanation:

x=10

y²=x²+10²=200

y=10√2

Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft

Answers

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Help plz need answers less than 10 minutes

Answers

Answer:

the answer wouldbe 8585434930.123

Step-by-step explanation:

Divide. (x^3 – 2x – 3) ÷ (x + 3)

Answers

x

2

3

x

+

7

24

x

+

3

Step-by-step explanation: brainly plz

Answer:

[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]

Arjun's family is traveling in a car at a constant speed of `65` miles per hour. How far do they travel in `25` minutes?

Answers

Answer:

can you say me which chapter question is this

Answer:

Step-by-step explanation:

1. it takes 3.1 hours

2.27.08 miles is how far they travel in 25 minutes

please give me a brainliest, i worked pretty hard to find these out, if you need a explanation, i will add it

If P = -4,3 and Q = 2,1 are the endpoints of the diameter of a circle, find the equation of the circle. Help pls :/ 30 points!!

Answers

Your answer is
(X+1)^2+(y+1)^2=13

Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2

A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4

Answers

9514 1404 393

Answer:

  B. x^4/4

Step-by-step explanation:

   [tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

Find the area of this shape

Answers

Answer:

433 m²

Step-by-step explanation:

Find the side length of the square first.

Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.

[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]

=[tex] \sqrt{51.84} [/tex]

= 7.2 m

Therefore the side of the square is

7.2 ×2

= 14.4 m

The area of the square

= 14.4²

= 207.36 m²

You are able to find the area if of the 2 triangles.

(7.2 × 9.6)÷2 ×2

= 69.12 m²

The height of the pentagon

= 25.4 - 7.2

= 18.2 m

The area of the pentagon

= (10+7.2) × 18.2 ÷ 2

= 156.52 m²

Add up the areas of the 3 polygons.

The area of the shape

= 207.36 + 69.12 + 156.52

= 433 m²

If n + n + 2 = 10, then n= ____.

Answers

Answer:

n = 4

Step-by-step explanation:

Combine like terms and solve.

n + n + 2 = 10

2n + 2 = 10

2n = 8

n = 4

Factorise x^2-3x

plz help me

Answers

x^2 - 3x = x ( x - 3 )

ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ

That would be x(x-3) :)

pls pls help for math

Answers

Answer and Step-by-step explanation:

The answer would be D. 82%.

All we need to do is add together the amount that can swim.

We do this because all of the numbers added together equals 1, so the parts that are split off represent the percentages (in decimal form) of the total amount of people.

0.34 + 0.48 = 0.82.

Multiply by 100 and we get 82%.

#teamtrees #PAW (Plant And Water)

You fill cone-shaped pastry bags with icing to a height to 1 foot and a diameter of 3.5 inches. You use about 1.35 cubic inches of icing per cupcake. About how many cupcakes can you decorate with 2 bags of icing?

Answers

Answer:

about 57

Step-by-step explanation:

What is the simplest form for 20:36

Answers

Answer:

5:9

Step-by-step explanation:

20÷4=5

36÷4=9

If you divide 20 by 4 you get 5. If you divide 36 by 4 you get 9. You need to be able to divide each number in the ratio by the same number. In this case, that number is 4. You can tell that this ratio (5:9) is in simplest form because 5 is a prime number and cannot be simplified any more.

If you want to check this divide the ratio by 2 two times. Or just divide it by 4 once.

20÷2=10 → 10÷2=5

36÷2=18 → 18÷2=9

Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?

Answers

Answer:

the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it

Step-by-step explanation:

Answer:

84 miles

Step-by-step explanation:

Can anyone help me with this math please I will give brainlist!! I used all my points for this question!!

Answers

9514 1404 393

Answer:

15.4567.0787040.7872.0

Step-by-step explanation:

Locate the digit to the right of the place you're rounding to. If that digit is 5 or more, add 1 to the digit in the place you're rounding to. Drop all digits to the right of the one you're rounding to, unless it is left of the decimal point. In that case, zero any digits between the one you rounded and the decimal point. (See problem 3 for an example of this.)

If you're rounding to the ones place (nearest whole number), and that digit ends up being 0, then put a decimal point after it to indicate it is a significant digit.

The second attachment shows the names of the number places, if you need a reminder.

Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.

Answers

The rate of growth is the first derivative.

f(x) = x2

f'(x) = 2x

g(x) = 1000x2

g'(x) = 2000x

f'(x) ≠ g'(x)

f(x) and g(x) DO NOT grow at the same rate.

Answer:

You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing.  The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate

Step-by-step explanation:

NO FAKE ANSWERS PLEASE IM BEGGING YOU 40 POINTS!!!!!! PLEEASEEEE HELP!!!!!!!!!!!!!! I already solved half of it pls help on part 4 and down.
YOUR ASSIGNMENT: Desert Temperatures


In this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:



Sahara Desert
Patagonian Desert
Death Valley California(I choose this one)


Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t
C(t) = –0.30(t – 12)2 + 40
0

12
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40


24
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2






2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)

Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104





4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t

0

12








24









5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .












6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)

7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)

Answers

Answer:

    Part 1

Given equation:

C(t) = -0.30 (t – 12)² + 40  

For t = 0

C(t) = -0.30 (0 - 12)² + 40

C(t) = -0.30 (-12)² + 40

C(t) = -3.2

For t = 12 (noon)

C(t) = -0.30 (12 - 12)² + 40

C(t) = -0.30 (0)² + 40

C(t) = 40

For t = 24 (midnight)

C(t) = -0.30 (24 - 12)² + 40

C(t) = -0.30 (12)² + 40

C(t) = -0.30 × 144 + 40

C(t) = - 43.2 + 40

C(t) = -3.2

Part 2

attached below

Part 3

C(t) = –0.30(t – 12)² + 40

F(t)=9/5C(t)+32

Substituting the values:

F(t)=9/5{–0.30 (t – 12)² + 40}+32

F(t) = -0.54 (t – 12)² + 72 + 32

F(t) = -0.54 (t – 12)² + 104

5, 6 and 7, should be simplish

good luck, i hope this helps :)

Step-by-step explanation:

Find each value. ORDER MATTERS!

a) P(12, 5) *read as 12 items being taken 5 at a time*

=?

b) P(8, 8)

=?
(HINT: Think 8 x 7 x 6 x 5....etc.)

Answers

Answer:

P(12, 5) = 95040

P(8,8) = 40320

Chris bought a card for 35¢. He
gave the clerk 6 coins. What coins
did he give the clerk?

Answers

5 nickels and one dime

ive been stuck on problem 20 for so long, help!!

Answers

I believe it’s letter i.


Help pls and no links

Answers

Answer:

y > 4x - 2

Step-by-step explanation:

The basic format of a line in slope-intercept form is,

[tex]y=mx+b[/tex]

This format undergoes no change when one implements it for the use of a two-variable inequality.

The parameter (m) represents the slope of a line, this can be found by using the formula ([tex]\frac{rise}{run}[/tex]). Traditionally, one would use a formula to find the slope of a line that is the following, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).

The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).

Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.

Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.

ANSWER NEEDED URGENCY HIGH​

Answers

Answer:

6 or 6 1\3 but i really think it is 6

Step-by-step explanation:

2y - 6 = 2
What value of y makes the following true

Answers

Answer:

y = 4

Step-by-step explanation:

2y - 6 = 2

add 6 to each side of the equation:

2y = 8

divide both sides by 2:

y = 4

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