A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units

Answers

Answer 1

Answer:

384 cubic units

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

The volume of the rhombus is

V = Base × height

where,  

B = D₁D₂ ÷ 2

= (6)(8) ÷ 2

= 24 units squared

Now the volume of the prism is  

V = (24)(16)

= 384 cubic units

Answer 2

Answer:

384 cubic units

Step-by-step explanation:


Related Questions


Parallelogram ABCD has
coordinates A(1,5), B(6,3),
C(3,1), and D(2,1). What are the
coordinates of E, the intersection
of diagonals AC and BD?

Answers

Answer:

Step-by-step explanation:

Are these shapes congruent??

Answers

No because one has four right angles while the other has one
Brainliest?

Answer:

No

Step-by-step explanation:

11 12 + 1 - 43 x for
for x = 6.
a.
Evaluate
- 172
-162
. 367
d. 392
b.
C.

Answers

Answer:

- 125

Step-by-step explanation:

11 × 12 + 1 - 43x

132 + 1 - 43(6)

132 + 1 - 258

133 - 258

- 125

angle A and angle B are supplementary angles. If m angle A=(7x+14)^ and m angle B=(5x-26)^ , then find the measure of angle B .

Answers

Answer:

35x^2 - 112x - 364

it's probably wrong since I've only expanded the brackets

Answer:

B = 54

Step-by-step explanation:

Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Answers

Answer:

2x° = 45°, 3x° = 67.5°

Step-by-step explanation:

Sum of angles in a triangle = 180°

2x+3x+3x=180°

8x=180°

x=22.5°

2x=22.5°x2=45°

3x=22.5°x3=67.5°

Three line segments have measures of 17 units, 11 units and 12 units. Will the segments make a triangle?

Answers

Answer:

Yes

Step-by-step explanation:

Yes, they will form a triangle. This is so because when testing for, we use the simple and logical analysis of

Adding up the two shorter sides > the third longest side.

In the example of the question we have here. The two short sides are 11 and 12 respectively. Adding them up together, we have

11 + 12 = 23

And the third longest side to be 17. Now, is 23 greater than 17 or not?

Of course it is, so yes, the sides will form a triangle.

Can three line segments with the given lengths form a right triangle?

Drag each set of lengths into the correct box.

12, 35, 37

16, 30, 34

18, 24, 42

20, 21, 29

Yes

No

Answers

Answer:

Yes

12, 35, 37

16, 30, 34

20, 21, 29

No

18, 24, 42

Step-by-step explanation:

Required

Determine which length form a right triangle

To do this, we make use of Pythagoras theorem where the square of the largest length = the sum of the squares of the other lengths

So:

(1) 12, 35, 37 --- Yes

[tex]37^2 = 35^2 + 12^2[/tex]

[tex]1369 = 1225 + 144[/tex]

[tex]1369 = 1369[/tex]

(2) 16, 30, 34 --- Yes

[tex]34^2 = 16^2 + 30^2[/tex]

[tex]1156 = 256 + 900[/tex]

[tex]1156 = 1156[/tex]

(3) 18, 24, 42 --- No

[tex]42^2 =18^2 + 24^2[/tex]

[tex]1764 =324 + 576[/tex]

[tex]1764 =900[/tex]

[tex]1764 \ne 900[/tex]

(4) 20, 21, 29 -- Yes

[tex]29^2 = 20^2 + 21^2[/tex]

[tex]841= 400 + 441[/tex]

[tex]841= 841[/tex]

Based on the Pythagorean Triple, "12, 35, 37", "16, 30, 34" and "20, 21, 29" will form a right triangle(YES), while "18, 24, 42" will not (NO).

What is the Pythagorean Triple?

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

c² = a² + b².

c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.

Thus, find out which set of lengths will form a right triangle:

12, 35, 37 will form a right triangle, because:

37² = 35² + 12²

1,369 = 1,369

Also, the rest set of lengths will form a right triangle except, "18, 24, 42".

Thus, based on the Pythagorean Triple, "12, 35, 37", "16, 30, 34" and "20, 21, 29" will form a right triangle(YES), while "18, 24, 42" will not (NO).

Learn more about Pythagorean Triple on:

https://brainly.com/question/11994763

Factor 9x + 27.
A9x + 27)
B. 9(x + 3)
C. 3(3x + 3)
D. 3(3x + 7)

Answers

Answer:

the answer is B i think

Step-by-step explanation:

Answer:

9(x+3)

Step-by-step explanation:

9x+27

please answer xoxo will mark brainliest

Answers

Answer:22:2x10x10x10x10x10x10x10x10x10x10... 23:3.4x10 divided by 2.... 24:1.5x10 divided by 9...... 25:5.9x10x10x10x10x10x10x10x10x10x10.... 26: 4.8 x 10 divided by 3..... 27: 6.25x10x10x10x10x10.

Step-by-step explanation:I divide because on some of them it's a negative power so instead of multiplying I'll divide. Hope this helps

Evaluate b2c-1 for b = -4 and c = 2.

-8
4
8
32

Answers

Answer:

-8

the way you meant to write it was -4^2 x 2^-1

Step-by-step explanation:

Answer:

it is 8 but it's not negative 8

I tried negative 8 and it said it was wrong so it must be 8

Perform the operation.
(-8x² + 10x + 4) – (-4x + 10)

Answers

Answer:

-8x^2 + 14x -6

Step-by-step explanation:

Answer:

- 8x² + 14x - 6

Step-by-step explanation:

Given

(- 8x² + 10x + 4) - (- 4x + 10)

Distribute the parenthesis, noting to distribute the second one by - 1

= - 8x² + 10x + 4 + 4x - 10 ← collect like terms

= - 8x² + 14x - 6

Question 17
5 pts
The population of fish in an aquarium can be modeled after exponential growth. If there
were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there
be after 14 weeks?
321 fish
698 fish
452 fish
815 fish

Answers

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

e^0.3892 = (1 + r)

1 + r = 1.476

r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

y = 3(1.476)^14

y = 698 fishes

Jehle and Liam a bowl serving 0.5÷200 Jehle says the question will be Less than 0.5 Liam says the quotient would be more than 0.5 which student is correct

Answers

Answer:

Jehle is correct.

Step-by-step explanation:

Given - Jehle and Liam a both solving 0.5÷200.

Jehle says the quotient will be Less than 0.5.

Liam says the quotient would be more than 0.5

To find - Which student is correct ?

Proof -

Given expression is 0.5 ÷ 200

It is equivalent to

[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5

∴ we get

The expression is Less than 0.5

So, Jehle is correct.

Can someone help me please
I will mark brainiest
Don’t need to show work

Answers

Answer:

24 classes

Step-by-step explanation:

Let

x = number of classes

Devaughn is a member at the local gym = 120 + 5x

Jerome is not a member = 10x

Equate the total cost of both individuals

120 + 5x = 10x

120 = 10x - 5x

120 = 5x

x = 120/5

x = 24 classes

The total cost of Devaughn and the total cost of Jerome will be equal in 24 classes

Could someone explain how to do this please,I don’t get it

Answers

9514 1404 393

Answer:

  B.  51

Step-by-step explanation:

In statistics, "range" generally means the difference between the maximum and the minimum. To find the range of these numbers, locate the maximum (54) and the minimum (3) and find their difference:

  54 -3 = 51

The range of the numbers is 51.

_____

Additional comment

The range is used for a variety of purposes. In some cases, it can be used to estimate the variance. In other cases, it can be used to choose bin boundaries for a histogram or other chart of values.

This use of the term "range" should not be confused with the idea of the "range" of a function. That is the list (or description) of all function values.

PLEASEEEE HELPPPPPP!!!!

Answers

Answer:

Step-by-step explanation:

LOL even I dont know

The price of a technology stock was $9.84 yesterday. Today, the price fell to $9.73. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

1.1 percent

Step-by-step explanation:

[(9.73 - 9.84) / 9.84 ] * 100 = -1.1 percent change = 1.1 percent decrease

40% of students play an instrument if 8 represents the amount of students who play an instrument how many students are in this class

Answers

Answer:

500 students

Step-by-step explanation:

last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d

Answers

Answer:

E. 1d+0.015d

G. 1.015d

Step-by-step explanation:

A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.

Tom exercises 4/5 hour on Monday and 5/6 hour on Tuesday

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Most likely he will exercise 6/7 hours on Wednesday!

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

the tax rate is 8.5% what is the tax on $95 round to the nearest hundredth ​

Answers

Answer:

this should be right 103.075

Step-by-step explanation:

the answer would be $8.08

2X+3X+50=180
X=WHAT
PLEASE HELP ASAP

Answers

Answer:

X=26

Step-by-step explanation:

Answer:

X=26

Step-by-step explanation:

hope this helps

Where does the graph of y = 4x + 24 intersect the x-axis?

Answers

Answer:

(-6, 0)

Step-by-step explanation:

y = 4x + 24

Plug y = 0

0 = 4x + 24

4x = - 24

x = - 24/4

x = - 6

So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)

Answer:

at point x= -6

Step-by-step explanation:

4x+24=0

4x=-24

x=-24/4

x=-6

Please help.
Simplicity

Answers

Answer: -10x+38

Step-by-step explanation:

Take your given equation

-2(3x-5)+4(7-x)

Distribute the -2 and 4 into the parenthesis'

-6x+10+28-4x

Combine like terms

-10x+38

Out of 1,200 students that attend Norman Rockwell Middle School, how many would most likely sign up for after school tutoring, if 48 out of 80 students randomly surveyed said they would like to have extra help after school?

Answers

Answer:

720

Step-by-step explanation:

Out of 80 students the no. of students who sign up=48

So, out of 1200 students 48×1200÷80=720 students sign up.

To lease his car, Greg had to pay a $1000 down payment, plus $250 per month. Write an equation that represents the total amount paid. DO NOT PUT ANY SPACES IN YOUR ANSWER.

Answers

Answer:

250x+1000

Step-by-step explanation:

The linear equation that represents the total amount paid is 1000 + 250x.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given,

Amount of down payment = $1000

Per month payment = $250

For x number of months = $250x

Total paid = 1000 + 250x

Hence "The linear equation that represents the total amount paid is 1000 + 250x".

For more about the equation,

brainly.com/question/10413253

#SPJ5

Solve for x.each figure is a parallelogram.show steps

Answers

Answer:

opposite sides of a parallelogram are equal

2x+15=x+15

2x-x=15-15

x=0

Answer:

x = 0

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, that is

ST = RU , substitute values

2x + 15 = x + 15 ( subtract x from both sides )

x + 15 = 15 ( subtract 15 from both sides )

x = 0

Dante buys 6 1/6 pounds of turkey and ham at the store. The weight of the turkey is 3 1/2 pounds. Which equation and solution shoes how much ham Dante bought?
A. 6 1/6 + 3 1/2=h h = 9 2/3
B. 3 1/2 +h = 6 1/6 h = 2 2/3
C. h − 3 1/2 = 6 1/6 h = 9 2/3
D. 3 1/2h = 6 1/6 h = 1 16/21

Answers

Answer:

prob a

Step-by-step explanation:

What is the slope of the line shown?

Answers

Answer:

m=-4/3

Step-by-step explanation:

The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?
plz answer in comments i have ads

Answers

Answer:

All you would do is times 12 by .15 or 15% you get 1.8 then all you do is 12 minus 1.8 you get $10.20 that is the price of a discounted pizza

I hope this helps

Other Questions
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