A cylinder has a volume of 1 and two ninths in3 and a radius of one third in. What is the height of a cylinder? Approximate using pi equals 22 over 7.

7 twelfths inches
7 sixths inches
7 fourths inches
7 halves inches

Answers

Answer 1

The height of a cylinder is D. 7 halves inches

How to calculate the height?

The volume of a cylinder is calculated as:

V = πr²h

r = radius = 1/3

h = height = ?

v = volume = 1 2/9

We will slot the value info the formula. This will be:

V = = πr²h

1 2/9 = 22/7 × 1/3 × 1/3 × h

1 2/9 = 22/63h

Divide through by 22 / 63

h = 1 2/9 ÷ 22/63

h = 11/9 × 63/22

h = 7/2

The correct option is D.

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Answer 2

Answer:

7/2 is your answer i have the same test :)))

Step-by-step explanation:

The volume of a cylinder is calculated as:

V = πr²h

r = radius = 1/3

h = height = ?

v = volume = 1 2/9

We will slot the value info the formula. This will be:

V = = πr²h

1 2/9 = 22/7 × 1/3 × 1/3 × h

1 2/9 = 22/63h

Divide through by 22 / 63

h = 1 2/9 ÷ 22/63

h = 11/9 × 63/22

h = 7/2

The correct option is D.

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Related Questions

5.375 divided by 0.25 explained

Answers

The division of 5.375 divided by 0.25 results to 21.5

What is Division?

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components. How many groups will be created,

for instance, if 30 students need to be separated into groups of five for a sporting event?

In this case, we must divide 30 by 5. 30 x 5 = 6 will be the outcome.

Given:

5.375 divided by 0.25

Now, dividing the above decimal

= 5.375/ 0.25

= 5375 x 100 / 25 x 1000

= 215 / 10

= 21.5

Hence, the division results to 21.5

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Find the distance between the two points.
(-2, 5) and (4, -1)

Answers

Answer:

Step-by-step explanation: the distance is 6 but if you're talking decimal then the distance is 1.4142

Please help me out with this question which graph shows a line with a slope of -2/3 passing through (-1,0)

Answers

Answer:

Step-by-step explanation:

Correct Answer: C.

First we can see that the slope is negative, meaning the graph is decreasing.

Then we go to the point (-1,0) and go down 2 and 3 right. if that point is on the line, then we know it's correct.

The price of a used car is discounted $200 each week.​

Answers

If  the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature

A linear graph can be either increasing, decreasing or constant.

Here the price of the car is being discounted $200 every week, so as the number of weeks increase, the price of the car decreases

So, the graph for this situation will be linearly decreasing.

The slope of this kind of graph is negative/

Therefore, If  the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature

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56 women make up an all female choir in a church. Two women are choen to ing together for a duet. How many poible pair could be choen for the duet?

Answers

The number of possible pair that could be chosen for duet is  1540 .

In the question ,

it is given that ,

total number of females in the choir group = 56 women

for duet the number of females that are required = 2 ,

the number of possible pair that can be chosen for the duet = ⁵⁶C₂ ,

⁵⁶C₂ = (56 × 55 × 54!)/2! × (56 - 2)!

= (56 × 55 × 54!)/2! × 54!

cancelling out the common factor 54! , we get

= (56 × 55)/2          .... because 2!= 2

= 28 × 55

= 1540

Therefore , The number of possible pair that could be chosen for duet is  1540 .

The given question is incomplete , the complete question is

56 women makes up an all female choir in a church. Two women are chosen to sing together for a duet. How many possible pair could be chosen for the duet ?

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In a sale , all prices are reduced by 30 %.
Calculate the marked price (original price) of an article which is sold for Rs 4200 in the sale

Answers

Answer:

$2940

Step-by-step explanation:

30 percent *4200 =

(30:100)*4200 =

(30*4200):100 =

126000:100 = $1260

4200-1260=$2940

Bernie has decided to purchase a new car with a list price of $18,575. Sales tax in bernie’s state is 7. 40%, and he will be responsible for a $795 vehicle registration fee and a $110 documentation fee. Bernie plans to trade in his existing car, a 1999 buick riviera in good condition, and finance the rest of the cost for five years at an interest rate of 12. 77%, compounded monthly. Assuming that the dealer gives bernie the listed trade-in price for his car, what will his monthly payment be? round all dollar values to the nearest cent. Buick cars in good condition model/year 1998 1999 2000 2001 2002 century $929 $1,086 $1,150 $1,488 $1,595 lesabre $2,075 $2,282 $2,690 $2,935 $3,374 regal $1,676 $1,794 $2,030 $2,214 $2,566 riviera $1,291 $1,455 $1,520 $1,814 $1,959 a. $472. 05 b. $439. 12 c. $438. 20 d. $518. 23.

Answers

If the dealer gives Bernie the listed trade- in price for his car,  he will pay $391.97  monthly.

Given that,

Bernie has decided to purchase a new car of $ 18,575.

The sales tax is 7.40%

Now,

18,575 x 7.40% = 1,374.55

Now, summing up the result of sales tax and purchase price, we get,

18,575 + 1,374.55 = 19,949.55

Bernie will give registration fees of $795

and, a documentation fees: $110

Now , we will sum up all the above information, i.e.,  

= 19,949.55 + 795 + 110

= 20,854.55

Now, divide the result of documentation fees and registration fees by 5

                         20,854.55 ÷ 5 = 4,170.91

Dividing the above result by 12,                      

                          4,170.91 ÷ 12 = 347.58

Now, the finance the rest of the cost for five years at an interest rate 12.77%.

                       347.58  x 12.77% = 44.39

And,

                       347.58 + 44.39 = 391.97

Therefore, If the dealer gives Bernie the listed trade - in price for his car,  he will pay $391.97  monthly.

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30 Points!!
Thank you!

Answers

Rotation 180= (x,y) —> (-x,-y)
E=(-9,9) —> E’=(9,-9)
D=(-9,2) —> D’=(9,-2)
F=(-3,0)—> F’=(3,0)

( 1/2 )² - 6 ( 2- 2/3 ) as a fraction in the simplest form?

Answers

Answer:

the answer is-7

Step-by-step explanation:

Answer:

Exact form: -31/4

Decimal form: -7.75

Mixed number form: -7 3/4

Joel earns a commission of 5% on the audio equipment he sells, and the store keeps the rest. He sells a $750 amplifier.

(b) How much does the store keep?​

Answers

Answer:

$712.50

Step-by-step explanation:

.95(750) = 712.5  If they give 5% to the seller, they get to keep 95%

Find the slope given the ordered pairs: (-3, -2) and (-3, -5)

Answers

Answer: The slope is 0

Step-by-step explanation:

Use the slope formula. -5-(-2)/-3-(-3)

-5+2/-3+3=0

30 MINS PLS HELP ASAP

Answers

The values of m<4 and m<6 are 160° and 20° respectively

How to find the value of m<4 and m<6?

To solve this problem, we need some angle geometry knowledge:

Given that: m<6 = 1/8 m<4

Since m<6 = 1/8 m<4. Thus, m<4 = 8.m<6

m<6+ m<4 =  m<6 + 8.m<6 = 9.m<6    (Algebra)

m<6+ 8.m<__ = 180° will be:

m<6+ 8.m<6 = 180°      

Note: m<6 + m<5 = 180° (angles on a straight line) and m<5 = m<6 (alternate angles)

m<6+ 8.m<6 = 180°

9.m<6 = 180°

m<6 = 180/9 = 20°

m<4 = 8 x m<6

m<4 = 8 x 20° = 160°

Therefore, the values of m<4 = 160° and m<6 = 20°

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can someone help me really quick

Answers

Answer:

1/2 teaspoon of salt per 1 teaspoon of baking soda.

Step-by-step explanation:

If you're starting with 1/2 tsp of baking soda and 1/4 tsp of salt, you can multiply that by two and still have the same ratio of salt to baking soda.

:)

its the first choice because if you do the math then it’s right

a student 6 ft tall is standing 20 feet away from a 35 ft tall flagpole. The flagpole is 60 ft away from the building. From the student point of view, the top of the flag pole is lined up perfectly with the top of the building, how talls the building

Answers

Step-by-step explanation:

between the student and the flagpole we create a trapezoid with the line of sight to the top of the flagpole and the ground connection between the student's feet and the flagpole being the other 2 sides.

and between the flagpole and the building we create a similar trapezoid.

the line of sight to the top of the building and the ground connection between the flagpole and the building are the other 2 sides.

since both shapes are created from the same projection (the "projector" is somewhere behind the student on the ground), they are truly and mathematically similar.

that means that the angles of one trapezoid are the same as in the other trapezoid.

and - there must be one constant scale factor between all the sides (or for any other lengths in or on the trapezoids) of one trapezoid to the sides of the other trapezoid.

we know the ground distances and how they relate :

20 ft to 60 ft

that means 20/60 = 1/3

so, any length of the first (smaller) trapezoid is 1/3 of the corresponding length of the second (larger) trapezoid.

so, we know the height of the flagpole (35 ft).

the height of the building must follow the same ratio (scaling factor) as the ground distances.

flagpole height = building height × 1/3

3× flagpole height = building height = 3×35 = 105 ft

the building is 105 ft tall.

5(x+10)+x
please help with explanation Q^Q

Answers

Answer:

Solution

=5(X+10)+X

=5×x+5×10+x

=5x+50+X

=6x+50

Step-by-step explanation:

Your answer is 6x+50.

Which is greater 10*4mg or 13g

Answers

Answer: 13g

Step-by-step explanation: because each gram is 1000 milligrams

15= x/6 -1
please respond quick

Answers

Answer:

The answer to your questions is 96.

Please help me please

Answers

Answer:

d) [tex]4x+23=10x-1[/tex]

Step-by-step explanation:

This is an isosceles triangle, which is defined as having two equal sides, and two equal angles corresponding to those sides.

Given this definition, it can be said that [tex]4x+23[/tex] is equal to [tex]10x-1[/tex]. Therefore,

[tex]4x+23=10x-1[/tex]

I need help please!!!

Answers

Answer:

slope = - [tex]\frac{7}{13}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, - 10 ) and (x₂, y₂ ) = (- 4, - 3 )

m = [tex]\frac{-3-(- 10)}{-4-9}[/tex] = [tex]\frac{-3+10}{-13}[/tex] = [tex]\frac{7}{-13}[/tex] = - [tex]\frac{7}{13}[/tex]

A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.

Answers

The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447

There is not sufficient evidence to reject the company's claim.

Z Test of Hypothesis for the Mean

Data

Null Hypothesis m =120

Level of Significance 0.05

Population Standard Deviation 12

Sample Size 49

Sample Mean 122.5

 

Intermediate Calculations

Standard Error of the Mean 1.7143

Z Test Statistic 1.4583

 

Two-Tail Test  

Lower Critical Value -1.9600

Upper Critical Value 1.9600

p-Value 0.1447

Do not reject the null hypothesis

Hence, the p value foe that particular interval is 0.1447

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Write each number in expanded notation, first without and then with exponents 20,304

Answers

The value of 20,304 using exponents will be 2.0304 × 10⁴.

What is an exponent?

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.

For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the value of 20,304 will be:

= 2.0304 × 10000

= 2.0304 × 10⁴.

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Square root 42 as a decimal

Answers

Answer:

6.481.

Square Root of 42 in Decimal Form: 6.481.

6.4807 is the answer

Consider the equation Y=x^2-3 a) using the given input, complete the table by entering the corresponding ordered pairs separated commas x, -2, -1, 0,1,2 y,_,_,_,_,_ b) Graph the equation by plotting the vertex and one other point

Answers

Answer: I don't know  

Step-by-step explanation:

Which is the best deal for a jar of jelly?
Question 5 options:



A: $1.26 for 6 oz



B: $1.52 for 8 oz



C: $2.30 for 10 oz



D: $2.40 for 12 oz

Answers

Answer:

B. $1.52 for 8 oz

Step-by-step explanation:

$1.26/6=$0.21

$1.52/8=$0.19

$2.30/10=$0.23

$2.40/12=$0.2

$0.19<$0.2<$0.21<$0.23

" I hoped I helped you : - ) "

Tomas drives 75 km at an average speed of 110 km/h and then 7 km at 40 km/h without stopping. What is the average speed for the whole journey to 1 dp?​

Answers

The average speed for the whole journey is 95.3km/hour

What is average speed?

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

Average speed = Total distance/total time taken

The distance covered in the first journey is 75km and the time spent is calculated as Distance/speed

= 75/110 = 0.68hour

The time used for the second journey is

= distance/speed

= 7/40 = 0.18 hour

The total time spent = 0.68+0.18 = 0.86 hour

The total distance traveled = 75+7 = 82km

Therefore the average speed = 82/0.86 = 95.3 km/hour.

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question is in the picture.

Answers

The set of ordered pairs that represent 90 degrees counter clockwise rotation about he origin is

3) A' (-6, 1) B' (-6, 6) C' (-2, 1)

How to find the coordinates of the image

Rotation is a from of transformation that involves circular movement about an axis.

There two types of rotation

clockwise anticlockwise

The transformation rule for 90 degrees clockwise rotation is as follows

(x, y) for a scale factor of r → (-y, x)

From the graph the coordinates are read and following the given transformation rule we have

preimage   image

A (1, 6)   →   A' (-6, 1)

B (6, 6)  →  B' (-6, 6)  

C (1, 2)  →   C' (-2, 1)

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HELP ME ASAP!! PLEASEEE I GOTTA SUBMIT THIS IN 10 MINUTES

Answers

Answer:the last option

Step-by-step explanation:

It costs $2 to download a song and $12 to download an entire album. Jorge has $50 to spend on downloading music. Create an inequality that represents the number of songs (s ) and albums (a ) that Jorge could download.

Answers

The inequality that represents the number of songs and albums that Jorge could download is:

$2*s + $12*a ≤ $50

How to write the inequality?

Here we have the variables:

s = number of songs.

a = number of albums.

Then the total cost can be written as:

$2*s + $12*a

And we know that Jorge has a maximum of $50 to spend, so the total cost can be equal to or smaller than $50, so the inequality is:

$2*s + $12*a ≤ $50

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When analyzing two quantitative​ variables, what is the first thing that should be​ done?.

Answers

Using the theories of quantitative​ variables, we got that Graphical display is the first thing that should be​ done when we are analyzing two quantitative​ variables.

Comparing the Two Quantitative Variables As we did when considering only one variable, we begin with the graphical display. A scatterplot is the most useful display technique for comparing the two quantitative variables. We plot on the y-axis the variable we consider for the response variable and on the x-axis we place the explanatory or the predictor variable.

Hence, When analyzing two quantitative​ variables,  the first thing that should be​ done is Graphical display.

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Write a rule to describe this translation. (photo attached)

Answers

The rule for given translation is (x,y)→(x + 3, y - 4).

What is Transformation?

In mathematics, the phrases translation, rotation, and reflection are all used to describe the change of forms. This refers to a form moving beyond a mirror line or a fixed point. While being translated, rotated, or reflected, the shape doesn't change. The constant rotation of a shape around a fixed point or across the mirror line is known as translation. Rotation defines the way a form moves about a central axis. Shapes can be rotated by a specific number of degrees either clockwise or counterclockwise.

The rule for translation of given figure will be,

We need to move x for 3 units to left and y for 4 units downwards to get the translation, so the rule is:

(x,y)→(x + 3, y - 4).

Therefore, the rule for given translation is (x,y)→(x + 3, y - 4).

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[defective computer] carmen went to buy a new computer from abc computer sales. the manager, jared, told her that abc carried the best computers in the state and perhaps even in the country. unfortunately, after carmen bought the computer and took it home, she discovered that it had a number of problems. when she took it back to the store, jared told her that he was sorry, he was simply giving his opinion when he sold her the computer, and that the store never offers any kind of express or implied warranty on products. jared told her that is why he never mentioned warranties - because they were not provided. jared's defense would be that he was only giving his opinion when he said the store carried the best computers in the state, even in the country. that is known as . the price of a 3-year zero coupon government bond is 87.62. the par value of the zero coupon government bond is $100. the price of a similar 4-year bond is 78.81. what is the yield to maturity (effective annual yield) on the 3-year bond? 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