Mathematics College

Find the volume of the figure below. Use 3.14 for π, and round your final answer to the nearest tenth.

Find The Volume Of The Figure Below. Use 3.14 For , And Round Your Final Answer To The Nearest Tenth.

Answers

Answer 1

Answer:

79.25 mm³

Step-by-step explanation:

The figure can be decomposed into 2 different half cylinders and a rectangular prism

Volume of the figure = volume of the smaller half cylinder + larger half cylinder + rectangular prism

✔️Volume of smaller half cylinder = ½(πr²h)

r = ½(2) = 1 mm

h = 5 mm

π = 3.14

Volume of smaller half cylinder = ½(3.14*1²*5)

= 7.85 mm³

✔️Volume of larger half cylinder = ½(πr²h)

r = ½(4) = 2 mm

h = 5 mm

π = 3.14

Volume of smaller half cylinder = ½(3.14*2²*5)

= 31.4 mm³

✔️Volume of rectangular prism = L*W*H

L = 5 mm

W = 4 mm

H = 2 mm

Volume = 5*4*2 = 40 mm³

✅Volume of the figure = 7.85 + 31.4 + 40

= 79.25 mm³

Related Questions

In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yellow tangs

Answers

Answer:

3/10 of the aquarium are yellow tangs.

Step-by-step explanation:

Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:

2/5 = 0.40

0.40 x 3/4 = X

1.20 / 4 = X

0.30 = X

0.30 = 3/10

Therefore 3/10 of the aquarium are yellow tangs.

Mia's birthday party will cost $12 if she invites 4 guests. What is the maximum number of guests there can be if Mia can afford to spend a total of $15 on her birthday party?

Answers

You find how much each person costs so 12/4 = 3. So every person costs 3 dollars. Then you divide 15/3 and you get 5 so she can invite a max of 5 people

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please :)

Answers

area is base x height
12 x 6 = 72
the area is 72 in^2

Answer:

the area is 72

Step-by-step explanation:

The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 24 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 17 do not meet minimum requirements. Assume the data can be treated as independent simple random samples. To determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not, test the following hypotheses.
a) State the null and alternative hypotheses in order to determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not .
(b) Calculate the value of the test statistic z.
(c) Determine the P-value associated with this observed value of z and draw the conclusion about the hypotheses using alpha=0.05.

Answers

Step-by-step explanation:

a) Hn: p1=p2, Ha: p1≠p2

b)

Given:

p1=24/85=0.2824

p2=17/80=0.2125

p=(24+17)/(85+80)=41/165=0.2485

n1=85

n2=80

Z=(p1-p2)/[p(1-p)(1/n1+1/n2)

Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)

Z=1.0384

c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.

a) The null hypothesis is given by Hn: p1=p2, Ha: p1≠p2

What is null hypothesis?

The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

Given that:

p1=24/85=0.2824

p2=17/80=0.2125

p=(24+17)/(85+80)=41/165=0.2485

n1=85

n2=80

Z=(p1-p2)/[p(1-p)(1/n1+1/n2)

Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)

Z=1.0384

c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.

To know more about Null hypothesis follow

https://brainly.com/question/15980493

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PLZ RESPOND AS SOON AS POSSIBLE
What point is located at (-2, -6)
a. F
b. G
c. H
d. K

Answers

"Point K" is the correct answer!-2 means 2 left-6 means 6 down

The answer is for your question is letter k

HELP
Mrs. Tate's car has 11.25 gallons of gas in the tank and uses 0.05 gallons per mile. If Mrs. Tate uses 2.75 gallons driving home from visiting family, which of the following best describes all possible numbers of miles (m) she can drive after returning home before running out of gas?

A.
m > 170
B.
m < 170
C.
m < 280
D.
m > 280

Answers

Answer:

B

Step-by-step explanation:

11.25-2.75 = 8.5

8.5/.05 = 170

Answer:

Step-by-step explanation:

170

Which inequality represents the situation: Kate took $3 out of her purse and still had at least $8 in it. How much did she have to begin with?

Answers

Answer:

k-3 ≥8

Step-by-step explanation:

k-3 ≥8

kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.

This trapezoid-based right pyramid has a volume of 48 m3 what is the area?

Answers

Answer:

18m^3

Step-by-step explanation:

Khan Academy, It shows how to do the steps

help me with it thank you

Answers

Answer:

Answer is A

Step-by-step explanation:

x+4=4x+2

x+2=4x

2=3x

2/3=x

Please answer this and I will give brainliest

Answers

Answer:

D is the right answer [(2f+2) / 2(s^3) ]

What is bigger 1/9 or -4

Answers

Answer:

1/9

Step-by-step explanation:

1/9 since it is positive

Answer:

Its 1/9.

Step-by-step explanation:

1/9 is indeed a fraction, and -4 is a negative number.

Suppose a normal distribution has a mean of 34 and a standard deviation of 2. What is the probability that a data value is between 31 and 37? Round your answer to the nearest tenth of a percent.A.86.6%B.88.6%C.87.6%D.85.6%

Answers

Answer: it’s 86.6%

Step-by-step explanation:

an oil company uses cylindrical storage tanks. each tank has a radius of 14ft and is 27ft fall. what is the volume of the tank?

Answers

Answer:

378

Step-by-step explanation:

Bob wants to fix the window on his house, but can’t quite reach it he gets a ladder to access the window, which is 15 feet from the ground, and he places the ladder 8 feet from the house. How long does the ladder have to be if it reaches the window exactly?

Answers

17 feet

Step-by-step explanation:

15^2 + 8^2 = c^2
15^2 + 8^2 = 289

square root of 289 is 17
Dwinsnbobxjdjdjdjddmdolsosokdkdjdjd

1,1,1,2,2,2,2,3,4,4,5,7,8,12,14 what's the median mode and the and range for these numbers

Answers

Answer:

median: 3

mode: 2 (appeared 4 times)

range: 13

Step-by-step explanation:

Challenge:
Put these in order (least to greatest)

Answers

Answer:

1 1/4, -1, -1/4, 0, 1/4, 1

Step-by-step explanation:

Answer:

-1 1/4, -1, -1/4, 0, 1/4, 1,

Step-by-step explanation:

what is the answer to 50.25 times x

Answers

50.25 times x would be just 50.25x
I’m pretty sure it would just be 50.25x

Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed.
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
12.892 dam = [answer] in miles

Answers

Answer:

It's 23.131 KL

Please help me i am not downloading anything

Answers

Answer:

on what

Step-by-step explanation:

On tax free weekend, Alyssa bought 4 pairs of blue jeans for $109.28. The cost of the jeans is proportional to the number of pairs of jeans bought. What is the constant of proportionality in terms of dollars per pair of jeans?

Answers

Answer:

27.32

Step-by-step explanation:

109.28 ÷ 4 = 27.32

The sum of 2 numbers s 1 and the diffreance is 5 what are th 2 numbers

Answers

Answer:

note ;sum of two no. is not 1.

let no. be x and y.

we have

x+y=11.......(1)

x-y=5........(2)

adding equation 1&2

x+y+x-y=11+5

2x=16

x=16/2=8

again

8-y=5

y=8-5=3

:.

x=8,y=3

What is the length of the diagonal?
18 cm
9 cm

Answers

It’s 27 but I’m not 100% sure because I’m need more content

7.2x14.3 what is that?

Answers

Answer:

102.96

Step-by-step explanation:

Answer:

[tex]102.96[/tex]

Step-by-step explanation:

7 . 2

× 14 . 3

___________

²2 . 16

²28 . 80

72 . 00

____________

¹1¹02.96

Therefor, the answer is 102.96

connie poured 200 milliliters of juice into a glass from a juice carton. She then poured 225 milliliters into a second glass. What is the final change in the volume of the carton?

Answers

Answer:

425 ml

Step-by-step explanation:

200+225= 425 ml

Mai poured 2.6 liters of water into a partially Field pitcher. The pitcher then contained 10.4 liters what is the solution of the equation mean in the situation

Answers

x=10.4-2.6 x is the initial volume, I think thats what you are asking for but you aren't very clear

I need the answer I don’t know what it is so can anybody help.

Answers

Answer:

4√3

Step-by-step explanation:

The left triangle is a 30°-60°-90° triangle.

30-60-90 triangles have special side proportions that you should memorize, because you will definitely use it in the future. Please see the attached image.

You can get x by taking 8 and dividing it by 2 to get 4, then multiplying it by √3 to get 4√3.

Which of the following is true?

a. The p-value for a one-tailed test would be the same as the current p-value.
b. The p-value for a one-tailed test would be half the current p-value.
c. If this test was one-tailed instead of two-tailed g, you would reject the null.
d. If this test was one-tailed instead of two-tailed, you would still fail to reject the null.
d. The p-value for a one-tailed test would be double the current p-value.

Answers

Answer:

The correct option is c which is if this test was one-tailed instead of two-tailed, you would reject the null.

Step-by-step explanation:

a: This statement cannot be true as the p-value for a 1 tailed test is dependent on the level of significance and other features.

b: This statement cannot be true as there is no valid mathematical correlation between the p-value of the one-tailed test and the current p-value.

c: This statement is true because due to the enhanced level of significance, the null hypothesis will not be rejected.

d: This statement is inverse of statement c which cannot be true.

e: The statement cannot be true as there is no correlation between the current p-value and the p-value of 1 tailed test. The correlation exists between the values of one-tailed and two-tailed p-values.

In the past year and a half, Gnarly the dog lost an average of 2/9 pound each month. Today, Gnarly weighs 14 pounds. How much did Gnarly weigh a year and a half ago?

Answers

Answer:

Weight before 18 month = 18 pound

Step-by-step explanation:

Given:

Current weight of dog = 14 pound

Weight lose each month = 2/9 pound

Total number of month = [tex]1\frac{1}{2}[/tex] year = 18 month

Find:

Weight before 18 month

Computation:

Total weight lose = Weight lose each month x Total number of month

Total weight lose = 2/9 x 18

Total weight lose = 4 pound

Weight before 18 month = Current weight of dog + Total weight lose

Weight before 18 month = 14 + 4

Weight before 18 month = 18 pound

Cody is purchasing sports equiptment for $161.37. In Colorado, the sales tax is 2.9%. What is the total cost, including tax, on his purchase? ​

Answers

Answer:

$166.04

Step-by-step explanation:

take the price and add the percentage.

Answer:

166.05

Step-by-step explanation:

161.37x1.029

6x + y = -1
-6x - 4y = 4
solve for x and solve for y

Answers

9514 1404 393

Answer:

  (x, y) = (0, -1)

Step-by-step explanation:

The coefficients of x are opposites, so we can eliminate x by adding the two equations.

  (6x +y) +(-6x -4y) = (-1) +(4)

  -3y = 3 . . . . simplify

  y = -1 . . . . . . divide by -3

Now, we need to find x.

  6x -1 = -1 . . . substitute for y in the first equation

  6x = 0 . . . . . add 1

  x = 0 . . . . . . divide by 6

The solution is (x, y) = (0, -1).

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