The height of the rectangular prism is 2 m. If its volume is 72 cubic meters, what is the area of the base, in square meters?

Answers

Answer 1

Answer:

Base area is 36 square meters

Step-by-step explanation:

The volume of a rectangular prism is V = (height)(length)(width).  We know all of these dimensions except for the area of the base, which is (length)(width).

Solving this equation for (length)(width), we get:

                                                       volume        72 m^3

(length)(width) = (area of base) = -------------- = -------------  = 36 m^2

                                                         height          2 m


Related Questions

PLEASE HELP!! what is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)?

Answers

Answer:

The answer is B)

[tex]y = - \frac{1}{2}x + 8[/tex]

Answer:

B.  y = -[tex]\frac{1}{2}[/tex]x + 8

Step-by-step explanation:

The line is perpendicular to line whose equation is:

y = 2x + 4 and;

passes through point (4,6) .

The product slopes of two perpendicular lines is -1.

The slope of the line whose equation is y = 2x + 4 is; 2

Let the slope of the perpendicular line (l2) be [tex]m_{l2}[/tex]

[tex]m_{l2} * 2 = -1[/tex]

[tex]m_{l2}[/tex] = [tex]-\frac{1}{2}[/tex]

Taking another point xy on line l2;

[tex]\frac{y - 6}{x - 4} = -\frac{1}{2}[/tex]

Cross multiplying this gives;

y = -[tex]\frac{1}{2}[/tex]x + 8 which is the equation of the perpendicular line!

The volume of a rectangular prism is the product of its dimensions. If the dimensions of a rectangular prism are
approximately 1.08 feet, 5.25 feet, and 3.3 feet, what is the approximate volume of the cube? Express your answer
using an appropriate level of accuracy.

Answers

Answer:

Hey there!

Volume of a rectangular prism: length (width) (height).

Volume: 1.08 (5.25) (3.3), or 18.71100.

However, because 3.3 is only two significant figures, we round our answer to: 19.

Hope this helps :)

Answer:

18.7 ft^3

Step-by-step explanation:

The volume is the product of the dimensions of the cube:

V = L*W*H, where L and W represent the length and width respectively.

Here,

V = (1.08 ft)(5.25 ft)(3.3 ft) = 18.7 ft^3, which is to 1 decimal place, because the least accurate dimension is also to 1 decimal place.

2. A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi.
21.2
31.8
7.9
24.7

Answers

Answer:

[tex] SA = 24.73~cm^3 [/tex]

Step-by-step explanation:

[tex] SA = 2\pi r^2 + 2\pi r h [/tex]

r = d/2 = (1.5 cm)/2 = 0.75 cm

[tex] SA = 2(3.14)(0.75~cm)^2 + 2(3.14)(0.75~cm)(4.5~cm) [/tex]

[tex] SA = 24.73~cm^3 [/tex]

Answer:

24.7

Step-by-step explanation:

took this exam and got it right

Which expression represents the prime factorization of 243?

Answers

Answer:

[tex]\boxed{3^5}[/tex]

Step-by-step explanation:

Hey there!

Look at the image below↓

By looking at the image we can tell the PR expression is [tex]3^5[/tex].

Hope this helps :)

Answer:

Below in bold.

Step-by-step explanation:

Dividing  by primes:

3 ) 243

3 )  81

3 )  27

3)     9

        3.

So the prime factors of 243 are 3 * 3 * 3 * 3 * 3  or  3^5.

(Prove) The angle subtended by an arc at the center is double the angle subtended by it at any
point on the remaining part of the circle.​

Answers

Answer:

The angle subtended by an arc at the center is double the angle subtended by it at any  point on the remaining part of the circle.

Step-by-step explanation:

Let us consider the image attached.

Center of circle be O.

Arc AB subtends the angle [tex]\angle APB[/tex] on the circle and [tex]\angle AOB[/tex] on the center of the circle.

To prove:

[tex]\angle AOB = 2 \times \angle APB[/tex]

Proof:

In [tex]\triangle PAO[/tex]: AO and PO are radius of the circles so AO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, [tex]\angle PAO = \angle OPA[/tex]

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

[tex]\angle AOQ = \angle PAO + \angle OPA=2 \times \angle APO .... (1)[/tex]

Similarly,

In [tex]\triangle PBO[/tex]: BO and PO are radius of the circles so BO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, [tex]\angle PBO = \angle OPB[/tex]

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

[tex]\angle BOQ = \angle PBO + \angle OPB=2 \times \angle BPO .... (2)[/tex]

Now, we can see that:

[tex]\angle AOB = \angle AOQ+\angle BOQ[/tex]

Using equations (1) and (2):

[tex]\angle AOB = 2\angle APO+2\angle BPO\\\angle AOB = 2(\angle APO+\angle BPO)\\\bold{\angle AOB = 2(\angle APB)}[/tex]

Hence, proved.

Hope you could understand.

If you have any query, feel free to ask.

FORM A CUBIC POLYNOMIAL WHOSE ZEROS ARE -3,-1 AND 2

Answers

[tex](x+3)(x+1)(x-2)=\\(x^2+x+3x+3)(x-2)=\\(x^2+4x+3)(x-2)=\\x^3-2x^2+4x^2-8x+3x-6=\\x^3+2x^2-5x-6[/tex]

The graph shows the equation x2 + y2 = 5. Use the slider for a to move the vertical line on the graph. Based on the vertical
line test, is this equation a function? Why or why not?

Answers

Answer: This equation is not a function.

Step-by-step explanation:

Ok, a function is something like a "machine".

It takes an input value, x, and transforms it into an output value, y.

Such that for every input x, the function can transform it into only one value of y.

for example, if we have a "function" f(x)

such that f(2) = 3 and f(2) = 4

(for the same input, x = 2, we have two different outputs)

Then this is not a function.

Now, the given equation is:

x^2 + y^2 = 5

This is actually the equation for a circle, centered at the point (0, 0) and with a radius equal to √5.

Then, if we want to transform it into y(x), we can see a problem

If x = 0, we have:

0^2 + y^2 = 5

y^2 = 5

then we have two possible values for y:

y = +√5

y = -√5

Then for one value of x, we have two values of y.

This means that this is not a function.

Answer:

No. The vertical line touches the graph at more than one point at once.

Step-by-step explanation:

I just did it

Which is the exponential form of log3 x= 11?

Answers

Answer:

[tex]x = 3^{11}[/tex]

Step-by-step explanation:

relation between logarithmic and exponential form is given by

[tex]\log_a x = y \\[/tex] is same as [tex]a^y = x[/tex] where a>0 and a is not equal to 1.

____________________________________________

[tex]\log_3 x = 11 \\\\x = 3^{11}[/tex]

Thus, exponential form is [tex]x = 3^{11}[/tex]

*PLEASE ANSWER* What is the volume of this prism?

Answers

Answer:

23.85

Step-by-step explanation:

→ Work out area of triangle

0.5 × 6 × 3 = 0.5 × 18 = 9

→ Multiply area of triangle by width of prism

9 × 2.65 = 23.85

please answer the question in the photo​

Answers

Answer:

b

Step-by-step explanation:

i honestly dont know what a and c are but cytokinesis is the division of the cytoplasm eg in binary fission and the question is on chromatids I chose b since in meiosis is where homologous chromosomes fail to separate however this can happen if it's the second phase of meiosis but since in mitosis in anaphase is where sister chromatids can fail to separate I chose it

The graph of
is positive over the interval and negative over the interval . What happens on the graph when ​? Explain.

Answers

Answer:

Positive and negative intervals on a graph

Step-by-step explanation:

The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). hope this helps you :)

Positive & negative intervals on a graph

7 liters of gasoline between their 4 cars. How many liters of gasoline should each car get?

Answers

Answer:

1.75 liters for each car.

Step-by-step explanation:

Divide:

*7 / 4 = 1.75.

Check:

*1.75 x 4 = 7.

1.75
7 divided by 4

Find the he value of n if 4n=6 4

Answers

Answer: 16

Step-by-step explanation:

64/4=16

n=16

Answer:

16

Step-by-step explanation:

4n = 64

n = 16 --------> Divide by 4 on each side

Jak policzyc: [tex](2x^2)^2[/tex] ?

Answers

2^2 • x^ (2•2)
Answer is :
4x^4

Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years.

Answers

Answer:

y = 100(3)^t

Step-by-step explanation:

Use the formula y = P(1 + r)^t where y is the new amount, P is the starting amount, r is the rate as a decimal, and t is the time.

Plug in the values given:

y = 100(1 + 2)^t

y = 100(3)^t

Answer:

Step-by-step explanation:

y = 100(3)^t

How many triangles exist with the given side lengths? 2mm,6mm,10mm

Answers

Answer:

Zero

Step-by-step explanation:

2+6=8 which means it can't be. It has to be a length higher than 10

I WANT TO PASS HIGH SCHOOL PLEASE HELP

Given that the quadrilateral EFGH is a trapezoid, m∠H = 62° and m∠HEG = 64° calculate m∠FEG

Answers

Answer:

m∠FEG == 54°

Step-by-step explanation:

you should know that m∠FEG is equal m∠EGH. this is because sides HE and FG are equal this also means opposite angles of this sides (m∠FEG and m∠EGH) are equal.

first find the measure of m∠EGH from triangle EHG.

m∠H + m∠HEG + m∠EGH= 180°

62° + 64° + m∠EGH = 180°

m∠EGH=180° - 126°

m∠EGH=54°

due to the fact that sides HE and FG are equal thus opposite angles of sides HE and FG are also equal.

m∠FEG = m∠EGH = 54°

m∠FEG =54°

A police car drives with a constant speed of 64 mph. How far can it travel in 2 hours?

Answers

Answer:

128 miles.

Step-by-step explanation:

The police car is driving at a constant speed of 64 mph so you simply have to multiply the rate by the time to get the distance.

64 * 2 = 128 miles

Hope this helps!  

What is the range of the function graphed below? PLEASE ANSWER ASAP

Answers

Answer: Choice C) [tex]-\infty < y < 2[/tex]

This is a more complicated way to write [tex]y < 2[/tex]

The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.

In interval notation, the answer would be [tex](-\infty, 2)[/tex] with the curved parenthesis to indicate "do not include y = 2 as part of the range".

PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!! The price of coffee has dropped to $2.30. Yesterday's price was $2.55. Find the percentage decrease. Round your answer to the nearest tenth of a percent

Answers

9.8 percent. All you have to do is subtract 2.30 from 2.55 and then divide that answer by 2.55 and then multiply that by 100

Answer:

9.8%

Step-by-step explanation:

Step 1: Find the change in price

2.55 - 2.30 = $0.25

Step 2: Divide change with original price

0.25 / 2.55 = 0.098....%

Step 3: Multiple by 100 to get percent

0.098 x 100 = 9.8%

Given that (8,7) is on the graph of f(x), find the corresponding point for the function f(x)+4

Hurry ! I need help

Answers

Answer:

( 8,11)

Step-by-step explanation:

When x = 8 the output is 7

The new function

f(x) +4

when x = 8

The output is f(8) +4= 7+4 = 11

( 8,11)

One stool rocks slightly from side to side on your kitchen floor. Which of the two stools could this possibly be? Explain your answer Choices: 3 legged stool, 4 legged stool

Answers

Answer:

The four legged stool is the one that rocks slightly from side to side. The three legged stool does not.

Step-by-step explanation:

The four legged stool is the one that rocks slightly because the three legs determine a plane, and the three legs are stuck on that single plane.

Th sum of a number and two is equal to eight
The equation?

Answers

Answer:

2+n = 8

Step-by-step explanation:

2+ something must equal 8.

8 minus 2 = 6

n=6

Answer:

Let the number be n.

According to question,

2+ n =8

=) n = 8-2

=) n =6

hope you understand.

Assume all variables represent non negative numbers . Help please!!

Answers

Answer:

A). [tex]2p^{8}[/tex]

B). [tex]3m^{7}[/tex]

Step-by-step explanation:

A). [tex]\sqrt{4p^{16}}[/tex]

    To get the square root of the given expression we will convert it into the square form.

[tex]4p^{16}=(2)^2(p^{8})^2[/tex] [Since 2×2 = 4 and [tex]p^{8}\times p^{8}=p^{16}[/tex]]

Therefore, [tex]\sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }[/tex]

                             [tex]=2p^{8}[/tex]

B). [tex]\sqrt{9m^{44}}[/tex]

    Since, [tex]9m^{14}=(3)^2\times (m^7)^2[/tex]

    Therefore,  [tex]\sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2}[/tex] [Since 3² = 9 and (m⁷)² = m¹⁴]

                                   [tex]=3m^{7}[/tex]

2x+6y=7draw graph and check x=1,y=2 is solution of this equation​

Answers

Answer:

The solution in the photo

I hope it helps ^_^

Help me please! I’ll give brainliest

Answers

Answer:

200-150 equals 50

Answer:

50 N

Step-by-step explanation:

It is 50 N because person A is pushing with 200 N, and person B is pushing with 150 N. But they are both pushing at the same time. But since person A is pushing with more force with 200 N than person B with 150 N, that only leaves 50 N. So basically person A is pushing with 50 N.

PLEASE HELP!!

Complete the equation.

(13)^2 (13)^-14 (13)^5 = 13 [ ]a0

Answers

Answer:

(13)^2 (13)^-14 (13)^5

=2197

Answer:

13^3

Step-by-step explanation:

-4+2+5=3

is it . that or something else ??

LESSON 2-1 PRACTICE

V 13. Attend to precision. Justify each step in the solution of 5x + 15 -

below by stating a property or providing an explanation for each

5x + 15 = 0

5x + 15 – 15 = 0 – 15

5x = -15

x = -3

Answers

Answer:

Value of x is -3

Step-by-step explanation:

Given:

5x + 15 = 0

Find:

Value of x

Computation:

5x + 15 = 0

From subtracting 15 from both side (LHS and RHS)

5x + 15 – 15 = 0 – 15

5x = -15

From dividing 5 from both side (LHS and RHS)

5x / 5 = -15 / 5

x = -3

So,

Value of x is -3

A spinner has 3 red spaces, 5 white spaces, and 1 black space. If the spinner is
spun once, what is the theoretical probability of the spinner NOT stopping on
red?
P(Not red) =

Answers

Answer:

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

Step-by-step explanation:

If we have 3 red spaces, 5 white spaces, and one blank space, there are a total of 9 spaces.

Since there are 3 red spaces, there is a [tex]\frac{3}{9} = \frac{1}{3}[/tex] chance of getting a red. However, the question asks the probability of not getting a red, so the chances of not getting a red are [tex]1 -\frac{1}{3} = \frac{2}{3}[/tex].

Hope this helped!

The average weight of the three lion cubs at the zoo was 288 pounds. Two of the cubs weighed 261 and 252 pounds. What was the weight of the third cub?

Answers

Answer:

351 pounds

Step-by-step explanation:

288 x 3 = 864 pounds

864 - 261 - 252 = 351 pounds

Therefore (261 + 252 + 351)/3 = 288.

So the answer is 351 pounds

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According to the lecture, the urban environment/landscape of Megalopolis includes all of the following EXCEPT:________A. A growth pattern that followed transportation corridorsB. Little variation in land useC. Cultural institutionsD. Most of the construction of beltways and parkways took place after World War IIE. Places that import what they lack from places that have a surplus Historians compare similarities and differences between societies primarily to.what? collect evidence on historical events.comprehend how the past affects the future.o learn about famous people who lived in the past.O explain why cultures have varying views on an event. In an inert organizational culture, poor working relationships frequently develop between the organization and its employees. the organization tries to avoid layoffs. the organization emphasizes long-term employment. employees regularly receive rewards for their performance. values and norms help the organization build momentum. Please answer the question in the image below ASAP Read the passage from "The Lady, or the Tiger.The more we reflect upon this question, the harder it is to answer. It involves a study of the human heart which leads us through devious mazes of passion, out of which it is difficult to find our way. Think of it, fair reader, not as if the decision of the question depended upon yourself, but upon that hot-blooded, semi-barbaric princess, her soul at a white heat beneath the combined fires of despair and jealousy. She had lost him, but who should have him?Which phrase from the passage most helps the reader analyze whether the princess chooses the lady or the tiger? What did Lincoln say that bothered many whites? 93/28=15/4n-5+4 4/7 i NEED this answer Find the remainder when x^3-ax^2 +6x -a is divided by x-a pls help!!plz answer correctly!will give the brainliest!Urgent!! Lee y empareja la frase con la oracin correcta. Read and match each phrase with the correct sentence. Match Term Definition Elisa tiene ________ grande en el bao. A) la lmpara La seora limpia ________ rojo en la sala. B) una baera Me gusta ________ bonita en la cocina. C) el mueble Yo canto en ________ en las maanas. D) la ducha PLEASE help me with this question! No nonsense answers please. This is really urgent. Which is a waxy, fatlike substance found only in animal products? 1. The Tyndall Effect is most useful for distinguishing between: *a solute and a solventO a suspension and a solutiona colloid and a suspensiona colloid and a solution Select the best with the least expensive corn per ounce The choices are in the image Please Help!! Describe the roles of LULAC,MAYO, and La RazaUnida in the Chicano civil rights movements. Discuss the similarities and differences among these three groups. What is a healthy way to cope with distress Prepare the List of goods and goddessworshiped by the various religions withtheir religious book. 4) 101Is it rational or irrational 3. Which of the following is called address operator?a)*b) &c).d) % Recent evidence suggests that ____________________________ neither frustration theory nor sequential theory explains PREE. the sequential theory better explains PREE. the frustration theory better explains PREE. both sequential and frustration mechanisms can promote responding during extinction.