Which right prism would have the same volume as a square prism with a base area of 36 m² and a height of 3 m?

Which Right Prism Would Have The Same Volume As A Square Prism With A Base Area Of 36 M And A Height

Answers

Answer 1

The rectangular prism in figure 2 has the same volume of 108 m².

Given that the square prism's measurements are as follows:

area = 36 m²

h = 3 m

As a result, the volume of this prism is equal to side² h = area h = 36 3 = 108 m2.

Now, we'll figure out how much each prism in the image is worth.

1) Because it is a right-angled tent or prism, the volume calculation will be

V = 1/2 (base length base width) Height

= 1/2×(3×2×6) = 36/2 = 18 m²

2. Volume of a rectangular prism is equal to length, width, and height, which is 2 18 3 = 108 m2.

3. A tent's or prism's volume is equal to half of its base's length, width, and height

= 1/2×4×9×3 = 1/2×108 = 54 m²

Consequently, the rectangular prism in figure 2 has the same volume of 108 m2.

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Related Questions

Can you solve Pythagorean theorem with only C?

Answers

The Pythagorean theorem can be solved using a C programme, therefore yes. The Pythagorean theorem states that the hypotenuse's square length of a right triangle equals the sum of the squares of its other two sides. The slope is the side that faces the right angle.

Therefore, given the lengths of the two shorter sides (a and b), the length of the hypotenuse can be calculated using the formula: c = sqrt(a^2 + b^2).

Here is an example C program that calculates the length of the hypotenuse of a right triangle given the lengths of the other two sides:

#include <stdio.h>

#include <math.h>

Above command is for library

int main() {

 double a, b, c;

Above command to initiate the variable.

  printf("enter the first side's length.: ");

 scanf("%lf", &a);

To enter the value in program

 printf("enter the second side's length.: ");

 scanf("%lf", &b);

Enter the value and print the value

  c = sqrt(a*a + b*b);

Arithmetic command

   print("The hypotenuse's length is: %lf\n", c); return 0;}

Print the value and return the program value to zero.

This program prompts the user to enter the lengths of the two shorter sides of the triangle, calculates the hypotenuse length using the Pythagorean theorem, and then prints the result.

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which values from the set (2,4,6,8,10) make the inequality n + 5 > 10 true ?

Answers

Answer: Values; 6,8,10

Step-by-step explanation:

❌ 2 + 5 > 10

❌ 4 + 5 > 10

✔️ 6 + 5 > 10

✔️ 8 + 5 > 10

✔️ 10 + 5 > 10

If the original quantity is 8 and the new quantity is 4, what is the percent​ increase?

Answers

The percent increase is 50%.

What is percentage increase?

The percentage increase in a quantity is the rate of difference in the old and new value to the old value, express in percentage.

i.e percentage increase = (old value - new value)/ old value

If the new quantity were be have decreased, then the percentage decrease can also be determined.

Considering the given question, the percentage increase can be determined by;

old quantity = 8

new quantity = 4

So that,

percentage increase = (old value - new value)/ old value

                                   = (8 - 4)/ 8 *100%

                                   = 4/ 8 * 100%

percentage increase = 50%

The percent increase is 50%.

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What are the potential solutions to the equation below? 1ln(x+3)=0

A. x = -3 and x = -4
B. x = -2 and x = -4
C. x = 2 and x = -3
D. x = 2 and x = 4

Answers

The potential solutions to the equation are x = -2 and x = -4

What is logarithm ?

A logarithm is the power to which a number must be raised in order to get some other number .

The given expression is ln(x + 3) = 0

It can be rewritten as

[tex]ln _e (x + 3) = 0[/tex]

[Since base of a natural logarithm is considered as e]

[tex]e^0 = (x + 3)[/tex]

Since in a logarithmic function if log b with base e = c

Then we further solve the expression to get the possible roots.

x + 3 = 1

x =  1-3

x = -2

Therefore, the potential solutions are x = -2 and x = -4

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(I need the answer as FAST as possible so if anybody could help that would be greatly appreciated)

Answers

The formula for the area of a triangle is BH/2(base x height divided by 2)
24x11=264/2=132
Your answer is 132 square units
132 square units

Area of a triangle has a formula of
1/2 multiplied by the base , then multiplied by the height
Here,
Base is 24
Height is the 11 (dotted line)

So,
24 x 11 = 264
264 x 1/2 same as 264 x 0.50
=132 square units

Please HURRY!!!

Which of the following must be true

Answers

I believe the second one :)

need help with these 4

Answers

Thus, It is possible to visually assess whether a limit exists as x approaches a by looking at the function f (x) and g (x) graphs, which are 1 and 5 when x is very close to x=a.

How would you define limit?

In mathematics, a limit is the value that a function, a sequence, or an index approaches as an input or an index gets closer to a particular value. Limits are essential to the study of calculus and mathematical analysis since they are used to define continuity, derivatives, and integrals.

Here,

From the function f (x) and g graphs shown here ( x)

1) lim f (x) plus lim g ( x )

= -1 + 2 = 1

2) f (-1) + lim g ( x)

= 3 + 2

= 5

Therefore , the solution of the given problem of limit comes out be 5.

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Katie has 3/4 of a yard of rope which she needs to divide into pieces, each 1/8 of a yard long. how many pieces will she have left?
Answers:
1/6
7
1/8
6

Answers

Answer:

not really understanding this question, but I think 6.

Step-by-step explanation:

3/4=6/8

Lynn is a zoo kepper at matlock zoo.her hourly rate is $6.85.she earns $328.80 every week.how many hours does she works in a week?

Answers

Answer:

48 hours

Step-by-step explanation:

Answer:

48 hours

Step-by-step explanation:

328.80 a week, and a 6.85 hourly rate.

To find hours worked:

$328.80 (total earned) / $6.85 (earned hourly) = 48 hours

How do you tell if a log graph is growth or decay?

Answers

To tell if a log graph is a growth or decaying, look at the slope of the line. If the slope is positive, then it is growth; if the slope is negative, then it is decay.

A positive slope indicates that the value is increasing over time, while a negative slope indicates that the value is decreasing over time. To find the slope, take two points on the line and calculate the change in the y-value divided by the change in the x-value.

If the answer is positive, the graph is growth; if the answer is negative, the graph is decay. Additionally, you can look at the y-intercept of the graph, which is the value where the line meets the y-axis. If the y-intercept is positive, the graph is growth; if the y-intercept is negative, the graph is decay.

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the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³

Answers

The value of the length will be 17920cm.

How to calculate the ratio?

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³.

The value of the length will be:

= 7 / (7 +5+2) × 35840

= 7/14 × 35840

= 17920cm

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the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³. Find the value of the length

A rectangular piece of land is 1/4 miles long and a 1/2 mile wide what is the area of the piece of land in square miles

Answers

Answer:

1/8 square miles

Step-by-step explanation:

1/4 times 1/2 = 1/8

The rectangular floor of a classroom is 26 feet in length and 36 feet in width. A scale drawing of the floor has a length of 13 inches. What is the perimeter, in inches, of the floor in the scale drawing?


HURRYYY I NEED HELP AGAIN!

Answers

Answer: 62 inches

Step-by-step explanation:

26÷13 =2

so 2 is the scale factor

so 36÷2= 18

18+18+13+13=62

I HOPE THAT HELPED

On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend continues each day. Write an equation modeling the views, v, as a function of time. What would be the day when more than 20,000 people will see the video

Answers

Answer:

Day 13

Step-by-step explanation:

The question can be represented with a geometric sequence

Where,

a = 5

Common ratio , r = 2

v(t) = a * r^(t - 1)

v(t) = 5 * 2^(t-1)

20,000 = 5 * 2^(t-1)

Divide both sides by 5

20,000 / 5 = 5 * 2^(t-1) / 5

4,000 = 2^(t-1)

2^12 = 2^(t-1)

12 = t - 1

12 + 1 = t

t = 13 days

What would be the day when more than 20,000 people will see the video

Check:

v(t) = 5 * 2^(t-1)

= 5 * 2^(13-1)

= 5 * 2^12

= 5 * 4,096

= 20,480

Therefore,

The day when more than 20,000 people will see the video is day 13

What are the dimensions of a rectangle with an area of 96 square centimeters and a perimeter of 40 centimeters?

Answers

y=8
x=12.....................

What is the Vertex of the graph?

options:
(1,1)
(-1,1)
(0,1)
(1,0)

Answers

Answer:

        (-1, 1)

Step-by-step explanation:

First coordinate of a point we read from X-axis and the second coordinate of a point we read from Y-axis

The coordinates of a triangle are: R(-4,4) S(-2,-2) T(2, 3) Brian determined A RST was a scalene triangle, but he wanted to the find the lengths of the three sides. Complete the table to determine the three side lengths of ARST. 37 38 140 141 length of RS length of ST length of TR​

Answers

The length of the sides RS, ST and TR are √72, √41 and √37 in the scalene triangle RST.

The distance between any two points A(a,b) and B(c,d) in the plane is given by,

AB = √((c-a)²+(d-b)²)

Here, it is given that the points of the triangle are R(-4,4) S(-2,-2) T(2, 3).

The triangle is scalene so length of every side is different.

Now, Using the above formula,

RS = √((2+4)²+(-2-4)²)

RS = √(36+36)

RS = √72

ST = √((2+2)²+(3+2)²)

ST = √(16+25)

ST = √41

TR = √((2+4)²+(3-4)²)

TR = √(36+1)

TR = √37

So, Brian is correct, the triangle is a scalene triangle.

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What is another way of expressing 96?
A. 2^5 × 3
B. 2³ × 3
C. 2×2×2×2×3
D.9 × 6

Answers

Answer:

A) 2⁵*3

Step-by-step explanation:

96

2*48

2*2*24

2*2*2*12

2*2*2*2*6

2*2*2*2*2*3

2⁵*3

Therefore, A is the correct answer.

Someone!!!! Please help me
I will mark the person brainliest who answers with an actual correct answer
Due soon!!

Answers

Answer:

120

Step-by-step explanation:

Find the value of x. Round to the nearest tenth.
x
15.3
37°
help me asap

Answers

Answer:

x ≈ 25.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin37° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15.3}{x}[/tex] ( multiply both sides by x )

x × sin37° = 15.3 ( divide both sides by sin37° )

x = [tex]\frac{15.3}{sin37}[/tex] ≈ 25.4 ( to the nearest tenth )

18,54, 162, ...
Find the 8th term.

Answers

Answer:

a₈ = 39366

Step-by-step explanation:

The terms have a common ratio between consecutive terms

r = 54 ÷ 18 = 162 ÷ 54 = 3

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 18 and r = 3 , then

a₈ = 18 × [tex]3^{7}[/tex] = 18 × 2187 = 39366

What is the volume of the cylinder? Do not round your answer. (Use 3.14 for π .)

with:12
hight:15

Answers

Answer:

When I used a cylinder calculator I got 6785.84 yd^3

Step-by-step explanation:

Which is equivalent to the ratio 35 : 100?

Answers

Answer: 7:20

Step-by-step explanation:

It seems like there are no options to choose from, but if that is one of the options, here's how:

You can simplify ratios by finding if there is a common multiple.

For 35 and 100, there is a common multiple of 5, so you can divide both sides by 5 to simplify the equation.

That leaves us with 7:20. Since one is a prime number, we can't simplify this further.

Answer:

The ratio equivalent to 35:100 is 7:20

Step-by-step explanation:

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,

Given ratio,

= 35 / 100

= 5× 7 / 20 × 5

= 7 / 20

Which of the following three equations represent the same line? 12(t) (2,2,4) +t(2,4,6) O A. 1(),12() and Ia(t O B. 11(t) and 12(t) . 12(t) and la(t) D. 1(t) and 1(t) E. none Submit

Answers

1(t) = 12(t) (2,2,4) +t(2,4,6) and Ia(t) = 12(t) (2,2,4) +t(2,4,6) represents the same line, as they are both equivalent to 12(t)(2,2,4) + t(2,4,6). So Option A is correct.

The equation of a line in 3-dimensional space can be represented in the form "r(t) = a + tb" where "r(t)" is a vector that represents any point on the line, "a" is a vector that represents a point on the line, and "b" is a vector that represents the direction of the line.

The given equations are:

1(t) = 12(t) (2,2,4) +t(2,4,6)

Ia(t) = 12(t) (2,2,4) +t(2,4,6)

As we can see that both equations are identical to equation 12(t) (2,2,4) +t(2,4,6) thus these three equations represent the same line.

The other given options B, C, and D are not equivalent to each other or to the original equation, thus they do not represent the same line.

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find the total surface area of this triangular prism

Answers

The surface area of the triangular prism is 156cm² when the triangle sides are 8cm  and 15 cm rectangle sides are 17cm and 2 cm.

Given that,

We have to find the total surface area of the triangular prism in the given picture.

We know that,

First, we need to calculate the area of ​​the triangle

a = area of triangle

a = 1/2 ×15 cm × 8 cm

a = 60 cm²

Now,

We must determine the three rectangles' areas.

a₁ = 2cm × 17cm

a₁ = 34cm²

a₂ = 2cm × 15cm

a₂ = 30cm²

a₃ = 2cm ×8cm

a₃ = 16cm²

Now, we must multiply the triangle by two and sum all the estimated areas.

a₁ + a₂ + a₃ + 2a =60cm² + 34cm² + 30cm² + 2 × 16cm² = 156cm²

Therefore, The surface area of the triangular prism is 156cm² when the triangle sides are 8cm  and 15 cm rectangle sides are 17cm and 2 cm.

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Rewrite in simplest terms: 4 (d+9) -8 (-3d-3)

Answers

Answer:

28d + 60

Step-by-step explanation:

4d + 36 + 24d + 24

28d + 60

First I used distributive property to expand. Then I rewrote my answer into simplest form possible. As we know that two negatives equal postive which is what I did to get the correct answer.

A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot.



Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other?

Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective than B.
Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that B is more effective than A.
No, because a difference in mean rating of 1.5 or less occurred 167 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.


answer is D

Answers

The conclusion on if there is convincing evidence that the one detergent is better than the other is; Option D: No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.

What is the conclusion of the sample research?

We are told that, 25 pieces are randomly assigned to be cleaned with detergent A, while the remaining 25 pieces are cleaned with detergent B.

Therefore, we can say that the sample size for both detergent A and detergent B is same. We can also say that the sample is distributed randomly which means that the sample is unbiased (fair).

We are also told that the mean rating for detergent B is found to be significantly less than the mean rating for detergent A.  Since we know that the mean is the average of a set of given numbers, then we can conclude that there is No evidence that the one detergent is better than the other because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.

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2. Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192. How many hours did he work for each job?

Answers

Max mowed the lawns for 6 hours and tutored students for 8 hours.

What is equation modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192.

We can write the system of equations as -

x + y = 14

12x + 15y = 192

Refer to the graph attached. On solving the equation graphically, we get-

x = 6, y = 8

Therefore, Max mowed the lawns for 6 hours and tutored students for 8 hours.

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1. Calculate the volume of the following figure.
H=2cm
W = 2cm
L = 5cm

Answers

Answer: It should be 2 x 2 x 5 = 20cm

Step-by-step explanation: Formula- volume = length x width x height

I hope this helps:)

Answer:It would be..

Step-by-step explanation:

5 x 2 = 10, And then we multply the with the 10. 10 x 2 = 20,

The Answer is 20.

please help me!! i’ll give brainliest the the best answer

Answers

Answer:

C will be the answer for this

C. it’s a straight line. anything curved is NOT linear (*≧∀≦*)
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