Find the volume of the composite solid. Round your answer to the nearest tenth.
16 ft
6 ft
4 ft
The volume is about
cubic feet.

Find The Volume Of The Composite Solid. Round Your Answer To The Nearest Tenth.16 Ft6 Ft4 FtThe Volume

Answers

Answer 1

The volume of the composite solid is 4823.04 ft³.

Wha is volume?

Volume is the amount of space or the capacity of a solid shape.

To find the volume of the composite solid, we use the formula below.

Formula:

The volume of the composite solid = Volume of the cone + volume of the cylinder.

V = πr²H+πr²h/3

Where:

V = Volume of the composite solidr = Radius of the base of cylinder/ the base of the coneH = Height of the cylinderh = Height of the coneπ = Pie

From the question,

Given:

r = 16 ftH = 4 fth = 6 ftπ = 3.14

Substitute these  values into equation 1

V = 3.14(16²)(4)+3.14(16²)(6)/3V = 3215.36+1607.68V = 4823. 04 ft³

Hence, The volume of the composite solid is 4823.04 ft³.

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Related Questions

PLEASE HELP

One number is 4 more than another number. If the greater number is x, what is the other number?

Answers

Answer:

12

Step-by-step explanation:

it would be 12 if it is unknown so 12 because y and x are used for unknown numbers.

i hope i got it right just tell me if this is wrong, please

The expression for the smaller number is q = x - 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the greater number be p = x

Let the smaller number be q

If the greater number is x, then the other number must be 4 less than x.

We can express this algebraically as:

On simplifying the equation , we get

q = x - 4

Hence , the other number is x - 4.

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1:30 hours + 40 min + 40 min + 2:05 hours

How many hours will this be?​

Answers

Answer:

4:55 hrs :)

Step-by-step explanation:

1:30 hours + 40 min + 40 min + 2:05 

1:30 hrs + 1:20 hrs + 2:05 hrs

2:50 hrs + 2:05 hrs

4:55 hrs

Have an amazing day!!

Please rate and mark brainliest!!!

as part of a design project, hassan wants to put moroccan tiles side by side along the edge of his counter. each tile has a side leanth of 0.15 meter. the edge of the counter is 3 merters longhow many tiles does hassan need.

Answers

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

What is a Tile's Length?

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

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Answer: 20 tiles.

Step-by-step explanation:

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

What is a Tile's Length?

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards brandon currently uses. card a card b amount $1,463.82 $1,157.98 apr 13% 17% monthly payment $24.60 $22.14 after 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44 please select the best answer from the choices provided. a b c d

Answers

The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

What is monthly payment?

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

[tex]M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]

Here, (P) is the principal amount, (r) is the interest rate and (t) is time.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.

The table below shows the information about the two credit cards Brandon currently uses.    

Cards                Amount              APR             Monthly PaymentCard a               $1,463.82              13%                 $24.60Card b               $1,157.98               17%                 $22.14

               

Interest rate for the card a is,

[tex]r=\dfrac{13}{12\times100}=0.01083[/tex]

The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,

[tex]M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47[/tex]

In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,

[tex]P_a=19.47\times96=1869.12[/tex]

For the card B the monthly payment is $22.14. Thus the total payment by card B is,

[tex]P_b=22.14\times96=2125.44[/tex]

The difference in the payment is,

[tex]d=2125.44-1869.12\\d=256.12[/tex]

Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

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Answer:

C. 256.32

Step-by-step explanation:

Find the value of x. 136° (8x + 40) (The figure is not to scale.)​

Answers

Answer:

x= 12

Step-by-step explanation:

Hope u understood it

"PLEASE MARK ME THE BRAINLIEST"

Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X.

the height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. which measurement is closest to the volume of cylinder in cubic cintemeters

a: 251.3
b: 4,021.2 cm
c:251.3 cm
d:628.3 cm

Answers

Answer:

Should be 251.3 cm^3

Step-by-step explanation:

Use the formula for volume of cylinder

Ms. fudge recently gave an algebra 1 test. the scores were normally distributed with a mean of 74 and a standard deviation of 8. find each of the following. write as a percent.

Answers

Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering the mean of 74 and the standard deviation of 8, we have that:

74 - 8 = 66

74 + 8 = 82.

Hence, there is a 68% probability that a student scored between 66 and 82.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

I need help with this

Answers

there is no hole bc you aren’t having to cancel anything out

I don’t know if I’m right

Answers

Answer:

  A: geometric; 4 times

  B: arithmetic: 4 more

Step-by-step explanation:

An arithmetic model is a linear model, where the rate of change is constant.  Growth or decay is by a constant amount from one interval to the next.

A geometric model is an exponential model, in which the rate of change is proportional to the amount. Growth or decay is by a constant factor from one interval to the next.

__

A)

The equation for the sequence is given in "explicit" form:

  [tex]A_n=2^{2n}[/tex]

The exponent can be split so this can be rewritten as ...

  [tex]A_n=(2^2)^n=4^n[/tex]

If this were written in recursive form, it would look like ...

  [tex]A_0=1,\ A_n=4\times A_{n-1}[/tex]

The fact that terms are related by a constant factor tells you the model is geometric. The factor tells you each hour the population is 4 times what it was in the previous hour.

__

B)

The given equation is in "recursive" form. It tells you each term is 4 more than the previous one. This constant difference between terms means the model is arithmetic.

_____

Additional comment

In general, words like "more" or "increase" refer to addition, and the words "times" or "factor" refer to multiplication.

How many sides does a dodecahedron have?

Answers

Answer:

A dodecahedron has 12 sides

Step-by-step explanation:

Hope that helps!

How do I write 5 2/5 as a fraction greater than one

Answers

Answer:

27/5

Step-by-step explanation:

because If you do 5 2/5 = ? you get 27/5

10788 divided by 31 what it the answer

Answers

Answer:

348

Step-by-step explanation:

hope this helps

How can this expression be written another way?

60x−24

Factor using the distributive property and the greatest common factor to write an equivalent expression.

Enter your answer by filling in the boxes.

60x−24= __ (__)

Answers

Answer:PLEASE BRAINLIEST

factor using 12 (gcf)

12(5x-2)

It is 35 Celsius in Miami and 75 Fahrenheit in Chicago. Which town is warmer?

Answers

Chicago is warmer Because farhrenheit is warmer than celsuis

Answer:

Miami

Step-by-step explanation:

First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.

I will convert Miami's temp, to farenheit:

[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]

Miami: 95°F

Chicago: 75°F

Therefore, Miami is the warmer town.

Hope this helps!


only 4 b and c please

Answers

Answer:

a) 2L + 2W = 42

b) L = 2W + 3

c) The system is :

2L + 2W = 42

L - 2W = 3

( add the two equations )

3L + (2w - 2w) = 45

3L = 45

L = 45/3

L = 15 ( Length )

L - 2W = 3

15 - 2W = 3

2W = 15 - 3

W = 12/2

W = 6

find the equation of the line
please help

Answers

Answer:

y=4x-9

Step-by-step explanation:

Slope-intercept form is y=mx+b where y is the y vale, m is the slope, x is the x value and b is the y-intercept.

We need to find the slope and y-intercept.

To find slope we will do rise/run

If we start from (3,3) and go up 4 and over 1 we get to (4,7)

4 over 1 is also 4

So m=4 or slope is 4

Now lets find the y-intercept

We can plug in our values and solve for b

3=4*3+b

3=12+b

-9=b

y-intercept is -9

so our answer will be y=4x-9

Answer:

  y = 4x -9

Step-by-step explanation:

The equation of this line is requested in slope-intercept form. The y-intercept is off the bottom of the graph, so we much develop the equation from what we can see.

Exact values are best determined from points where the line crosses grid intersections. We observe two of those are (1, -5) and (2, -1). The slope formula can tell us the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -(-5))/(2 -1) = 4/1 = 4

The formula for the y-intercept can be used with the first point:

  b = y -mx

  b = -5 -4(1) = -9

Then the equation of the line y = mx +b is ...

  y = 4x -9

Hello people ~
factorise↷
x^2 + 4x –21​

Answers

Let's see

[tex]\\ \rm\rightarrowtail x^2+4x-21[/tex]

[tex]\\ \rm\rightarrowtail x^2+7x-3x-21[/tex]

[tex]\\ \rm\rightarrowtail x(x+7)-3(x+7)[/tex]

[tex]\\ \rm\rightarrowtail (x-3)(x+7)[/tex]

Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?​ I will branliest to who ever answers first!

Answers

Answer:

He should have got 40

Step-by-step explanation:

680 / 45 = 15.11

45 x 16 = 40

I will give you brainlyest and give you points​

Answers

Answer:

VOL_cone is 70.7

which is LESS THAN

the vol of cylinder. VOL_cyl is 71.6

Step-by-step explanation:

Volume of a cone:

V= (1/3)pi•r^2 • h

=(1/3)pi•3^2 • 7.5

= 70.7 cubic inches

(rounded to tenths this is the same if you use a pi key on the calculator or if you use 3.14)

The Volume of a cylinder:

V = pi•r^2 • h

= pi• 2.25^2 • 4.5

= 71.6 cubic inches

(more accurate with pi key, using 3.14 it rounds to 71.5)

The last blank could be the words "less than" but if they are asking for a fraction or percent, calculate by putting the big number on the bottom and the smaller number on top.

Can someone please help me I’m stuck

Answers

I can see you already found the coordinates of the points that pass through the line, all you have to do is plot them, and join them together.

c)Graphically:when is the line's y=3x=1.5

Analytically:6-2x=3-2x=3-6-2x=-3

2x=3

x=3/2 =1.5

Solve for x.
8.7 + X = 7
=
1.1
x = [?]

Answers

Answer:

-1.7

Step-by-step explanation:

8.7 + X =7

incorporate the shoes and socks method. We must do the opposite of what is being done. If we are adding X, we will subtract X on both sides leaving you with 8.7=7-x. We want X on one side of the equation so now we take the 8.7 and subtract on both sides giving 7-x-8.7. we must add X on both sides so we can have a X on one side thus X= 7-8.7. we can ordinary subtract and will give us -1.7.

X=-1.7

8.7+(-1.7) =7

How do I solve for x and y?

Answers

Answer:

x = 69y = 21

Step-by-step explanation:

To solve for x and y, take advantage of the relationships between angles and diagonals in a rhombus. Each diagonal bisects the vertex angle, and the acute angles in each right triangle are complementary.

__

The angles created by the diagonal at the lower left vertex are congruent:

  y° = 21°

__

The angles x° and y° are complementary:

  x° = 90° -21°

  x° = 69°

What is 2925 divided by 15

Answers

2925 divided by 15 equals 195

2925/15=195

ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help

Answers

Step-by-step explanation:

about circle R

arc angle MP = angle MRP = 78°

angle M = angle LMP.

according to the rules of inscribed angles, LMP is half of angle LRP.

LRP + MRP = 180° because together they cover the whole LM segment (half-circle).

LRP = 180 - MRP = 180 - 78 = 102°

so, LMP = angle M = 102/2 = 61°

also circle R (with arc ULNP)

the arc ULNP = arc UL + arc LN + arc NP = 160°

due to the congruent definition of JU and MP we know that arc UL = arc NP.

and we know arc LN = arc JM = 18°.

so,

160 = 2×arc NP + 18

142 = 2×arc NP

arc NP = 71° = arc UL

now, because arc MP + arc LP = 180 (half-circle),

arc MP = 180 - arc LP = 180 - arc LN - arc NP =

= 180 - 18 - 71 = 91°

about the circle R with 2 congruent chords :

the second answer : they are equidistant from R (the center of the circle).

about circle W

arc MK + arc KL = 180° (half-circle).

and we see

arc HL = arc KL = 53°.

so,

arc MK + 53 = 180°

arc MK = 180 - 53 = 127°

about circle M

arc QTS = 204°.

therefore, arc QRS = 360 - arc QTS = 360 - 204 =

= 156° = angle QMS.

according to the rules of inscribed angles

angle QTS = QMS/2 = 156/2 = 78°

KM and NP are parallel lines. which angles are supplementary angles?

Answers

Supplementary angles = The angles add up to 180 degrees / form a straight line.

Angle KLO and angle KLJ form a straight line -> they are supplementary angles.

Write the amount in standard scientific notation.
1.72E-3 millimeters
[?]x[ ]^ millimeters

Answers

Answer:

1.72e-3 = 1.72 x 10-3 = 0.00172

Step-by-step explanation:

72e-3 is a scientific notation used in mathematics, physics, chemistry, astronomy and other sciences to handle either very large or very small numbers. With scientific notation adding, subtracting, multiplying and dividing numbers becomes much simpler

find the HCF of
[tex]5x {}^{2} - 125,x {}^{2} + 25and - 10x[/tex]

Answers

Answer:

Step-by-step explanation:

5x^2 - 125 factors into 5 (x^2 - 25)

x^2 - 25 factors into  (x + 5)(x - 5)

So the answer to this part is 5(x + 5)(x - 5)

x^2 -  10x + 25 factors into

(x - 5)(x - 5)

So the HCF is (x - 5)

The price of a cup of coffee has risen to 2.35$ today , yesterday’s price was 2.20$ . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:

3.1%

Step-by-step explanation:

2.20/2.35 = 3.1%

Have an amazing day!!

Please rate an dmark brainliest!!

please help ive been on this question for hours

Answers

Answer: 52.4

Step-by-step explanation:

Answer:

π\3 ≈ 1.0 in²

Step-by-step explanation:

area of a full circle= 2πr = 2π(10) = 20π

central angle of full circle= 360°

area of the shaded region= ?

angle of shaded region= 60°

[tex] \frac{360}{60} = \frac{20\pi}{?} \\ \: \\ {?} = \frac{20\pi \times 60}{360 } = \frac{\pi}{3} [/tex]

find the HCF of 50and70 by using euclids algorithm​

Answers

Answer:

10

Step-by-step explanation:

To  find,

HCF of 50 & 70 using Euclid's Division Algorithm.

Solution,

HCF(50 & 70) --  70 = 50 × 1 + 20.

                           50 = 20 × 2 + 10

                           20 = 10 × 2 + 0.

Therefore their HCF is 10.

Answer:

10

Step-by-step explanation:

According to Euclid's Algorithm, c = dq + r ,  0 ≤ r < d  (where r is the remainder)

As 70 > 50, c = 70 and d = 50

Substituting values of c and d:

   70 = (50 x 1) + 20

⇒ 50 = (20 x 2) + 10

⇒ 20 = (10 x 2) + 0

Therefore, the HCF is 10

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