A rectangular prism measures 6 m long and 3 m wide. If the volume of the prism is 162 m*, what is the height of the prism

Answers

Answer 1

Answer: 9 m

Step-by-step explanation:

Volume of the rectangular prism

V=w*h*l

V=162m^3

162=6*3*h

162=18*h

h= 162/18=9

the height h=9 m


Related Questions

Solve the equation. Then check your solution

v/7=3

A.-21
B.21
C.-4
D.10



Answers

Step-by-step explanation:

[tex] \frac{v}{7} = 3 \\ [/tex]

[tex] \frac{v \times 7}{7} = 3 \times 7 \\ [/tex]

[tex]v = 21 \\ [/tex]

Answer:

Option B is correct i.e. 21

Step-by-step explanation:

In the question we're provided with an equation that is :

v/7 = 3

And we are asked to find the solution for the equation .

Solution : -

[tex] \longrightarrow \: \frac{v}{7} = 3[/tex]

Multiplying by 7 on both sides :

[tex] \longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7[/tex]

On further calculations , we get :

[tex] \longrightarrow \: \blue{\boxed{v = 21}}[/tex]

Therefore , solution for equation is 21 .That means option B is the correct answer.

Verifying :

We are verifying our answer by substituting value of v in the equation given in question :

[tex] \longrightarrow \: \frac{v}{7} = 3[/tex]

Putting value of v :

[tex] \longrightarrow \: \cancel{\frac{21}{7}} = 3[/tex]

By dividing 21 with 7 , we get :

[tex] \longrightarrow \:3 = 3[/tex]

[tex] \longrightarrow \: L.H.S=R.H.S[/tex]

[tex] \longrightarrow \: Hence , \: Verified.[/tex]

Therefore , our answer is valid .

#Keep Learning

Bobby is making bread using a total of 400 grams of gluten free flour. The recipe calls for 70% of the flour to be almond flour. She needs to know how much almond flour to use

Answers

280 grams of almond flour.

She needs 70% of the flour to be almond flour

70/100*400 =  280

If the diameter of a youth baseball is 2.8 inches and the diameter of an adult softball is 3.8 inches, what is the approximate difference in their volumes? use 3.14 for pi. round to the nearest tenth. recall the formula sphere volume = four-thirds pi r cubed. 1.0 cubic inch 17.2 cubic inches 40.2 cubic inches 137.8 cubic inches

Answers

The approximate difference in their volumes is 17.2 cubic inches

Volume of a sphere

A sphere is a round solid figure, with every point on its surface equidistant from its centre.

The formula for calculating the volume of a sphere is;

V = 4/3πr³

where:

r is the radius of the sphere


Given the following

diameter of youth ball =2.8in

radius of youth ball r = 1.4in

diameter of adult ball =3.8in

radius of adult ball R = 1.9in

Determine the difference in volume

D = 4/3π(R³ - r³)

Substitute

D = 4/3π(1.9³ - 1.4³)

D = 4/3π(4.115)

D =17.2 cubic inches

Hence the approximate difference in their volumes is 17.2 cubic inches

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Answer:

B 17.2

Step-by-step explanation:

In a school, 2/3 the students study a language.
Of those who study a language, 2/5 study French.
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form?

Answers

Answer:

4:11

Step-by-step explanation:

let's say there 15 students, 10 of them study a language. Of the 10, 4 (the 2/5) study french, so of the 15 students 4 study french, making it 4:11.

2/3 - language

10/15

2/5 - French

2/5: 10/15
5:3

Two prisms are similar and their ratio of similarity is 2:5.

Find the area of a base of the larger prism if the area of a base of the smaller prism is 31 square units.

Round to the nearest hundredth.

help fast please

Answers

Answer:

77.5 square units

Step-by-step explanation:

set up a proportion first.

[tex] \frac{2}{5} = \frac{31}{x} [/tex]

then, cross multiply

2x = 155

divide by 2

x = 77.5

The area of the base of the larger prism is approximately 193.75 square units.

How to calculate the area?

If two prisms are similar, then their corresponding sides are proportional. Let the smaller prism have a base area of 31 square units, and let the corresponding side of the larger prism have length x.

Since the ratio of similarity is 2:5, we have:

x / s = 5/2

where s is the length of the corresponding side of the smaller prism. Solving for x, we get:

x = (5/2) x s

We know that the area of the base of a prism is given by the formula:

A = s²

Substituting the value of s in terms of x, we get:

A = ((5/2) x s)²

A = (25/4) x s²

Substituting the value of s² in terms of the area of the smaller prism, we get:

A = (25/4) x 31

A = 775/4

A = 193.75 square units

Therefore, the area of the base of the larger prism is approximately 193.75 square units.

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Asked about this yesterday, can someone please help! I really need to pass my math class!

Answers

Answer:

use area

Step-by-step explanation:

we can't use volume here since we are dealing with the outside part only

so area of a cylinder is =πr²h

our r represents the radius which is diameter/2

r=7.5/2

=3.75m

our h represents height which is 12.5m

so put in our formula

area = π×(3.75)²×(12.5)

=552.2330836m³

that's it dear

give my answer a brainliest

Jogging burns 375 calories in 45 minutes. Determine how many calories are burned per hour.

Answers

Answer:

500 calories an hour are burnt.

Step-by-step explanation:

45 is 3/4 of 60, so 375 is 3/4 of an hour of jogging. If we divide 375 by 3 we will get how many calories are burnt every 1/4 of an hour.

375 / 3 = 125

Now that we know what 1/4 of an hour equals we can add 125, 4 times to find the number of burnt calories in an hour of running.

125 + 125 + 125 + 125 = 500

that means jogging burns 500 calories an hour.

Stumped on this question, please add explanation if you can

Answers

Answer:

C

Step-by-step explanation:

Lets look at all the answer choices:

A and looks like a little number.

B said 7. 7 x 16 = 122 7 x 12 = 84.

122 + 56 = 178. 140 + 84 = 224.

B is incorrect

C said 21. 21 x 16 = 336 21 x 12 = 252

336 + 56 = 392 and 140 + 252 = 392

C is the correct answer.

For large parties A restaurant adds a 15% service charge to the bill how much would be added to a bill of 638. 40

Answers

Answer:

95.76$

Step-by-step explanation:

Calculate 15% of 638.40$

we have 15%/100% x 638.40

which is 95.76$

It means that a charge of 95.76$ will be added to an amount of 638.40$

I need food to live, but if I eat dirt, I die. I am all-powerful, but I shrink back at the sight of water. What am I?

Answers

Answer:

Fire?

Step-by-step explanation:

fire would need and not need all of these things

Answer:

Fire.

Step-by-step explanation:

It has to be fire?

Claudio noticed that the sides of his $1 bill formed angles. Tell whether the angles are right angles, less than right angles, or greater than right angles. Explain.

(no picture to insert)

Answers

Claudio’s $1 bill has right angles because the sides of the bill are perpendicular to each other, so the angles of the bill are 90 degrees or right


Hope this helped you out a bit

exact side length of a cube of 55 units

Answers

Answer:

3.68

Step-by-step explanation:

55 = l x w x h

what x what x what would equal 55

5 x 11 = 55

so

Eduardo has a recipe that uses 2/3 cup of flour for each batch. If he makes 4 batches, how many cups of flour will he need? How many cups of flour will he need in total if he makes 3 more batches?

Answers

Answer:

4 batches: [tex]2\frac{2}{3}[/tex] cups

7 batches: [tex]4\frac{2}{3}[/tex] cups

Step-by-step explanation:

If he uses 2/3 cup of flour for each batch, then that is 2/3 four times, or 2/3 · 4.

[tex]\frac{2}{3}[/tex] × [tex]\frac{4}{1}[/tex]

= [tex]\frac{8}{3}[/tex]  = [tex]2\frac{2}{3}[/tex]

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to [tex]2\frac{2}{3}[/tex].

[tex]\frac{2}{3}[/tex] × [tex]\frac{3}{1}[/tex]

= [tex]\frac{6}{3}[/tex]  = 2

[tex]2\frac{2}{3} +2[/tex]  = [tex]4\frac{2}{3}[/tex]

Thus, [tex]2\frac{2}{3}[/tex] and [tex]4\frac{2}{3}[/tex] are the answers.

hope this helps!

Can someone please help me? :(

Answers

your answer is A im pretty sure

Answer:

A) 2, 4, 0, 2, 4, 6, 3, 0, 7, 1, 2, 7, 8, 1, 1

Step-by-step explanation:

B says that 5 is marked but 5 is not marked on the number line

C has three 0s and there are only two 0s.

D has less numbers so that one isn't it.

hope this helped!

brainliest please!

~Kandy~

Help me pls
[tex]{ x }^{ 2 } -7x+12[/tex]

Answers

Answer:

x is 3 or 4

Step-by-step explanation:

I assume that you want to find the solutions for this quadratic equationFirst of all, set it all to equal 0[tex]x^{2}-7x+12=0[/tex]Now you need to factorise your expressionYou need to find two numbers that multiply together to make 12, and ad together to make -7These two numbers are -3 and -4Your new equation is:[tex](x-3)(x-4)=0[/tex]For this equation to equal 0, just one of x - 6 and x - 1 has to equal 0For x - 3 to equal 0, x has to be 3For x - 4 to equal 0, x has to be 4x = 3 or 4
Yore answer here is 4 ….

Find the DIAMETER of a circle for the circumference given.
circumference = 87 km
A) 4 km
C) 12 km
B) 10 km
D) 8 km

Answers

Circumference=87km

Diameter be d

πd=Circumferenceπd=87d=87/πd=27.71km

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is 40 or older is chosen at random, what is the probability that they have completed a bachelor's degree and no more? Round your answer to the nearest thousandth.

Answers

Using it's concept, it is found that there is a 0.183 = 18.3% probability that the person has completed a bachelor's degree and no more.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, it is found that 529 + 1054 = 1583 out of 1911 + 6730 = 8641 people aged 40 or older have completed a bachelor's degree and no more, hence the probability is given by:

p = 1583/8641 = 0.183.

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The diagonal of a rectangle is 12 in and intersect at an angle to make a 60 degree angle. Find the perimeter of the rectangle

Answers

The perimeter of the rectangle whose diagonal is 12in and intersects at an angle to make a 60 degree angle is; 32.8in.

What is the perimeter of the rectangle?

The rectangle as described above has it's Diagonals intersect at their midpoints, i.e at length = 6in.

On this note, the right angle triangles formed each have other two sides to be;

x = 6 sin 60 and y = 6 Cos 60 respectively.

From the statement above, the values of x and y are 5.2 and 3.

Hence, the perimeter of the rectangle is;

2(2x + 2y) = 32.8 inches.

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36 A community center is collecting blankets. The director of the center has asked 135 families
to donate 3 blankets each. If 20% to 40% of the families donate 3 blankets each, which of
these could be the number of blankets the center collects from these families?
F 240
G 50
H 110
J 170

Answers

Answer: H is between 81 And 162

Step-by-step explanation: 20/100 ×135/1 = 27 FamilieFamilies with 81 Blankets

40/100 × 135/1 = 54 families with 162 Blankets

what is the system solution to 8x + 7y = 39

Answers

Answer:

-8/7

Step-by-step explanation:

I thinks this is the answer

A box has 26 pens —6 red, 8 green, 5 blue, and 7 black. Sam picks two pens at a time without replacement. What is the probability that Sam picks two blue pens?

Answers

Answer:

2/65

Step-by-step explanation:

trust me

The probability that Sam picks two blue pens is,

⇒ 5 / 26

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A box has 26 pens —6 red, 8 green, 5 blue, and 7 black.

Here, Sam picks two pens at a time without replacement.

Hence, We get;

The probability that Sam picks two blue pens is,

⇒ P =  5 / 26

Thus, The probability that Sam picks two blue pens is,

⇒ 5 / 26

\

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Select all of the equations that are equivalent to 4x+20=90

1. 4(x+5)=90

2. x+5=22.5

3. 4(x+20)=90

4. x+20=22.5

5. 4x=70





pls pls tell me

Answers

Answer:

The answer is num 1 I think, 4(x+5)=90

solve for x : -2 + x = 3

Answers

Answer:

x = 5

Step-by-step explanation:

- 2 + x = 3

x = 3 + 2

x = 5

______

Hope it helps ⚜

Answer

- 2 + x = 3

5 = x

Find the least common multiple 18, 9​

Answers

Answer:

The common multiple is 18

Step-by-step explanation:

Because 9*2=18 and 18*1=18

Answer:

Simply 18.

Step-by-step explanation:

18 = 2*9

5. Find the length of the highlighted arc from A to B

Answers

Answer: 9.4 cm

Step-by-step explanation:

formula is

2 pie r (m/360)

I need the answer to this question

Answers

Answer:

its either 2 or 4 because a triangle can't change its shape it need to be the same shape

Answer:

2, 3, and 4.

Step-by-step explanation:

  The only answer that would result in a non-congruent triangle would be Option 1. It is asking you to dilate by a scale factor of 2 which would make the triangle 2 times bigger. In that case, the triangle to not be congruent.

  Reflections, Rotations, and Translations do not change the size of the triangle which means it remains congruent.

Make r the subject of the formula t = r/r-3

Answers

Answer:

Infinite/(-∞, ∞)

Step-by-step explanation:

Look at this set of ordered pairs:
(8,8)
(8, 12)
(17, -12)
Is this relation a function?

Answers

i think it is not maybe i’m wrong

find value of variable

Answers

Answer:

x = 23.5

Step-by-step explanation:

By inscribed angle theorem:

[tex](2x + 1) \degree = \frac{1}{2} \times 96 \degree \\ \\ \implies \: (2x + 1) \degree = 48 \degree \\ \\ \implies \: 2x + 1 = 48 \\ \\ \implies \: 2x = 48 - 1\\ \\ \implies \: 2x = 47\\ \\ \implies \: x = \frac{47}{2} \\ \\ \implies \: x = 23.5[/tex]

8x-1<2x+5
If x is a number greater than zero that satisfies the inequality above, what is one possible value of x?

Answers

Step-by-step explanation:

There is no number greater than zero that satisfy the above inequality

but if the sign is less than or equal to 1 will work

Answer:

0 < x < 1

any fraction bigger than zero and less than 1.

Step-by-step explanation:

8x - 1 < 2x + 5

Subtract 2x

6x - 1 < 5

Add 1.

6x < 6

Divide by 6.

x < 1

They are asking for a number bigger than zero. But 1 does not work because the answer has to be less than one. Pick any fraction between zero and one.

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