A cylinder has a height of 16 yards. Its base has a radius of 7 yards.
Find its volume, in cubic yards, to the nearest tenth. Use 3.14 or the
calculator value for pi.

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf v= 2463.0 \ yd^3}}[/tex]

Step-by-step explanation:

The volume of a cylinder is found using the following formula:

[tex]v= \pi r^2h[/tex]

The height of the cylinder is 16 yards and the radius is 7 yards. Let's use the pi button on a calculator for pi. Substitute these values into the formula.

[tex]v= \pi* (7 \ yd)^2 * 16 \ yd[/tex]

Solve the exponent.

(7 yd)²= 7 yd* 7 yd= 49 yd²

[tex]v= \pi * 49 \ yd^2 *16 \ yd[/tex]

Multiply the three numbers together.

[tex]v= \pi *784 \ yd^3\\v=2463.00864041 \ yd ^3[/tex]

Round to the nearest tenth.

[tex]2463.0\underline0864041[/tex]

The 0 in the hundredth place tells us to leave the 0 in the tenth place.

[tex]v= 2463.0 \ yd^3[/tex]

The volume of the cylinder is 2463.0 cubic yards.


Related Questions

I have no idea how to find multiple angles i was only taught how to find one..

Answers

The sum of all angles must equal 180°. Since you already have two angles for the larger triangle, all you need to do to find m < x is by subtracting m < 63° and m < 36° from 180°:

m < x = 180° - m < 63° - m < 36°
m < x = 81°

Therefore, < x = 81°

For the smaller triangle (acute), what you could do to find m < z is by subtracting m < x from 180°. We can do it that way because < x and < z are supplementary angles whose sum add up to 180°.

m < z = 180° - m < x
m < z = 180° - m < 81°
m < z = 99°

Therefore, < z = 99°

Lastly, to find m < y, subtract m < 13°and m < z° from 180°:

m < y = 180° - m < z° - m < 13°

m < y = 180° - m< 99° - m< 13°
m < y = 68°


Therefore, the measure of the following angles are:

< x = 81°
< y = 68°
< z = 99°

Answer:

36+63+_=180

Step-by-step explanation:

just add up everything in the smaller triangle to get 180

then ignore the line inside of the bigger triangle and repeat the first step, but only just look at the bigger one! that is how to do it, but I won't give the answer, good luck! ;)

What is the result when (-12) is subtracted from (- 8) ? *

Answers

Answer:

-20

Step-by-step explanation:

All that you have to do for this question is just form the equation:

-12-8=x

And solve, which is:

-20

Solve z=sh/s+h for s

Answers

Answer:

[tex]\displaystyle s = \frac{hz}{h-z}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle z = \frac{sh}{s+h}[/tex]

And we want to solve it for s.

First, we can multiply both sides by the denominator:

[tex]\displaystyle z(s+h) = sh[/tex]

Distribute:

[tex]\displaystyle sz + hz = sh[/tex]

Subtract hz and sh from both sides:

[tex]\displaystyle sz - sh = -hz[/tex]

Factor:

[tex]\displaystyle s(z-h) = -hz[/tex]

And divide. Hence:

[tex]\displaystyle s = \frac{-hz}{z-h} = - \frac{hz}{z-h} = \frac{hz}{h-z}[/tex]

Any one of the above three forms are correct, although the third form is preferred because it omits the additional negative.

It is not 9/18 or 1/2 PLEASE ANWSER CORRECTLY

Answers

Answer:

1/8 because you do 5 divided by 5 and 40 divided by 5 which gives you 8. Meaning, 1/8 is the answer.

Step-by-step explanation:

Answer:

7/8.

Step-by-step explanation:

5 weeks = 5*7 = 35 days.

So the fraction is 35/40

= (35/5) / (40/5)

= 7/8.

The area of the rectangle shown is 73 sq. Feet. Which equation can be used to find “x”.
A) 6x + 9 = 73
B) 2x + 18 = 73
C) 6x + 3 = 73
D) 6x + 18 = 73

Answers

Answer:

6x+18=73

Step-by-step explanation:

Rectangle area w*l

(x+3)*6=73

6x+18=73

2/3÷(-14) show your work.

Answers

(2/3) / -14 is the same as (2/3) * -(1/14) since we can multiply by the reciprocal when dividing with fractions.

2/3 * -1/14 = -2/42 = -1/21

cos^8a+sin^8a=1-sin^22a+1/8sin^4a​

Answers

cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²

=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A

=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴

=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴

//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A

=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴

=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A

=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A

=> 1 - Sin²2A + 1/8Sin⁴2A

=> R.H.S

Simplify 5 to the power 3 over 5 to the power 7

Answers

Answer:

0.0016 or 16/10000

Step-by-step explanation:

1) 5^3/5^7

2) 125/78,125

3) 0.0016

Answer:

[tex]\frac{1}{625}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] ( where n > m ) , then

[tex]\frac{5^{3} }{5^{7} }[/tex]

= [tex]\frac{1}{5^{(7-3)} }[/tex]

= [tex]\frac{1}{5^{4} }[/tex]

= [tex]\frac{1}{625}[/tex]

Given m∠14+m∠3=180° .

Which lines are parallel, if any must be parallel, based on the given information?


a∥b by the converse of the same-side interior angles theorem.

c∥d by the converse of the corresponding angles theorem.

Not enough information to make a conclusion.

a∥b by the converse of the alternate interior angles theorem.

description of picture : Two nearly horizontal lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.

Answers

Answer:

c∥d by the converse of the corresponding angles theorem.

Step-by-step explanation:

just took the test

A car covers the distance between two cities in 6 hours. A van covers the same distance in 5.5 hours by travelling 4 km/h faster than the car. What is the distance between the two cities? Find the speed of the car and the van.​

Answers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A car covers the distance between two cities in 6 hours.

A van covers the same distance in 5.5 hours.

The speed of the van is 4 km per hour faster than the speed of car.

Let assume that

Speed of the car be x km per hour

So,

Speed of van is x + 4 km per hour.

Let further assume that

Distance between two cities be y km.

We know, Distance covered = Speed × Time.

➢ Now, Distance (y) covered by car at the speed of x km per hour in 6 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 6x}} - - - - (1)[/tex]

➢ Also, Distance (y) covered by van at the speed of x + 4 km per hour in 5.5 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 5.5(x + 4)}} - - - - (2)[/tex]

So, from equation (1) and (2), we have

[tex]\rm :\longmapsto\:6x = 5.5(x + 4)[/tex]

[tex]\rm :\longmapsto\:6x = 5.5x + 22[/tex]

[tex]\rm :\longmapsto\:6x - 5.5x = 22[/tex]

[tex]\rm :\longmapsto\:0.5x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{5}{10} \times x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{1}{2} \times x = 22[/tex]

[tex]\bf\implies \:x = 44[/tex]

On substituting the value of x, in equation (1), we have

[tex]\rm :\longmapsto\:y = 6 \times 44[/tex]

[tex]\bf\implies \:y = 264[/tex]

So,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\sf{Distance \: between \: cities = 264 \: km} \\ \\ &\sf{Speed \: of \: car \: = \: 44 \: km \: per \: hour}\\ \\ &\sf{Speed \: of \: van \: = \: 48 \: km \: per \: hour} \end{cases}\end{gathered}\end{gathered}[/tex]

What is the slope of the line in the graph? slope =
Is the slope 1/1 or 1
Or do I put both?​

Answers

Answer:

The slope of this graph is 1. Well, 1/1 is equal to 1 so I think you should just put 1 as your answer.

Step-by-step explanation:

Evaluate the expression when m= -3. m²+8m-7​

Answers

Answer:

-22

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Any math experts please factor this thank you have a blessed day

Answers

56 + x - x^2
-x^2 + x + 56 Rewrite
x^2 - x - 56 Multiple whole equation by -1 to get positive x^2
(x-8)(x+7) Factor(-8 times 7=56, -8+7=-1)
x=8 x=-7 Put it equal to 0

It started snowing at fourteen minutes to eleven in the morning. The snow stopped falling at five to midnight. How long did it snow?

Answers

Answer:

13 hours and 9 minutes

Step-by-step explanation:

Answer:

If I'm correct it should be 13 hr with an additional 9 min.

Step-by-step explanation:


Pls helppppppppppp!!!!

Answers

Place your mouse on 21 and 18

These jus gon keep comin sb tryna jus do the rest of my questions i only got 6 mo

Answers

Answer:

The answer is A

Step-by-step explanation:

I will brainlist who can answer this 5 Questions!

A b c Choices!​

Answers

1. B
2.A
3.c
4.a
5.d
Hope this helped

-2y + 6 = -12

what is the answer??

Answers

Answer:

9

Step-by-step explanation:

Simplifying

2y + -6 = 12

Reorder the terms:

-6 + 2y = 12

Solving

-6 + 2y = 12

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 2y = 12 + 6

Combine like terms: -6 + 6 = 0

0 + 2y = 12 + 6

2y = 12 + 6

Combine like terms: 12 + 6 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

Answer:

Y=9

Step-by-step explanation:

Subtract 6 from both sides. Simplify. Dive both sides of the equation by the same term. Simplify. Solution y=9

1 - 2x + 3y for x = -2 and y= -5

Answers

1-2(-2)+3(-5)
1-(-4)-15
1+4-15
10 is your answer

Answer:

All you need to do is plug the values and then simplify!

[tex] \large{ \tt{ - 2x + 3y}}[/tex]

Plug the value of x and y :

[tex] \longrightarrow \: \large{ \tt{ - 2 \times ( - 2) + 3 \times ( - 5)}}[/tex]

When negative integer is multiplied by negative integers , we get positive integer & when positive integer is multiplied by negative integer , we get negative integer.

[tex] \longrightarrow \large{ \tt4 + ( - 15){}}[/tex]

[tex] \longrightarrow \large{ \tt{4 - 15}}[/tex]

[tex] \longrightarrow{ \large{ \boxed{ \tt{ - 11}}}}[/tex]

Hence , Our simplified answer is -11 .

~Hope this helps! *Let me know if you have any other queries regarding my answer ! <3

help me with this smart math people

Answers

Answer:8.72

Step-by-step explanation:

26.16/3=8.72

Answer:

Cost per pound = $8.72

Step-by-step explanation:

Since Mrs. Thomas spent $26.16 for 3 pounds' worth of turkey, all you need to do is divide $26.16 by 3 to get the cost per pound.

$26.16 ÷ 3 pounds = $8.72 per pound of turkey

Can someone help me??

Answers

Answer:

x = √(5)

Step-by-step explanation:

[tex]x^2 = 5[/tex]

Step 1: Take square root of both sides.

[tex]\sqrt{x^2} = \sqrt{5}[/tex] [tex]x = \sqrt{5}[/tex]

Therefore, x = √(5).

what is the answer of 9+(-7)?

Answers

Answer:

2

Step-by-step explanation:

Answer:

9 + (-7) = 2

Step-by-step explanation:

HELP PLEASE............,,,,,.,,,,,

Answers

Answer:

a. $77.5 for 5 tickets

b. You can by 8 tickets with $130

Step-by-step explanation:

Answer:

a) $77.50

b) 8 tickets

Step-by-step explanation:

a) C(x) = 17.5(x) - 10

C = 17.5(5) - 10

C = $77.50

b) C(x) = 17.5(x) - 10

130 = 17.5(x) - 10

130 + 10 = 17.5(x) -10 + 10

140 = 17.5(x)

140/17.5 = (x)

8 = x

Part 1 state the domain and range of the given relation.

Part 2 is the relation a function

{(-1, 2),(1, 2),(3, 2), (6, 2)}

Please help

Answers

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which NO two ordered pairs have the same first component and different second components.

The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.

The set of second components (y-coordinates) is the RANGE of the relation.

Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}

Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”

Remember that a function can only take on 1 output for each input.

It helps to plot the points on the graph and perform the Vertical Line Test (VLT):

The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.


Please mark my answers as the Brainliest if you find my explanation helpful :)

Find the value of x.

A) 8
C) 6
E) 11
B) -9
D) -11

Answers

It’s E as if you subtract as it is a triangle and has three sides
D. This is an equilateral triangle. So all the sides are equal.
X+19=8
X=8-19
X=-11

The average of three numbers is 30 two of the numbers is the is 28 and 35 what's is the third number

Answers

Answer:

27

Step-by-step explanation:

3 numbers=30x3=90

third number=90-28-35=27

Hope this helps! Thanks.

Find the LCD of the fractions and enter them

4/8 and 4/6

Answers

Answer:

The LCD IS 6

Step-by-step explanation:

Help plz
Simple answers work!

Answers

Answer:  I don't known b ???????

Step-by-step explanation:

Step-by-step explanation:

step one Choose C

Luis needs at least 3 kilograms of cement to make a brick wall. If Luis has 3,410 grams of cement, and there are 1,000 grams in 1 kilogram, will he be able to make a brick wall?

Answers

Answer:

Step-by-step explanation:

y

Equivalent ratio for 13:10

Answers

Answer:

26:20

Step-by-step explanation:

Answer:

26:20

Step-by-step explanation:

There is no way to simplify this ratio as 13 is a prime number, but you can make the ratio bigger by multiplying both sides of the ratio by equivalent numbers, like 2:

13 x 2 = 26

10 x 2 = 20

26:20

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