Find the volume of the prism.

Find The Volume Of The Prism.

Answers

Answer 1

Answer: 120 units3

Explanation: When finding the base of a prism, you must always multiply the side with the right angle. So basically, 5 is ignored because it does not have a right angle.

1st step: 3*4=12

2nd step: 12/2=6 (because the tringle which is the base is half a square)

3rd step: 6*20=120

The ending is unit 3 because it is volume. Area is unit 2 and we don't know if the prism is in cm so it is not A, or B, and D is the incorrect answer.

In conclusion:

120 units 3

Hope this helped!

Alin


Related Questions

15 POINTS!
Select all the measurements that could represent volume.

A. 23 1/6 km8
B. 8 ft2
C. 362 cm6
D.10.1 mm3

Answers

Final answer:

The only correct measurement that represents volume in the list is D.10.1 mm3, which uses cubic millimeters, a standard unit of volume. The others are either measurements of area or contain typos/error in notation.

Explanation:

To select all the measurements that could represent volume, we look for units that indicate three-dimensional space. Volume measurements typically have units raised to the third power, indicating length, width, and height dimensions. The correct options for units of volume are as follows:

D.10.1 mm3 - Cubic millimeters are a standard unit of volume, which makes option D the only correct choice.

Here are clarifications for the other options:

A. 23 1/6 km8 - This is not a standard notation for volume or any other measurement and is likely an error in notation or a typo.B. 8 ft2 - Square feet are a measure of area, not volume.C. 362 cm6 - Like option A, this is not a standard notation for volume and likely an error.

Volume in Various Units

When expressing volume, common standard units include milliliters (mL), cubic centimeters (cm3), and liters (L) for smaller volumes, and cubic meters (m3) for larger volumes. To provide a couple of examples:

A car's gas tank volume might be expressed in liters.The volume of a small rectangular box would be measured in cubic centimeters, and we could calculate it by multiplying its length, width, and height.

Can some one help me with 18

Answers

Answer:

82.6%

Step-by-step explanation:

Conditional probability is defined as:

P(A|B) = P(A∩B) / P(B)

where P(A|B) is the probability of A on the condition of B, P(A∩B) is the probability of both A and B, and P(B) is the probability of B.

Here, we want P(P|K), so:

P(P|K) = P(P∩K) / P(K)

P(P|K) = 0.019 / 0.023

P(P|K) = 0.826

82.6% of the members in the key club are also enrolled in AP Physics.

Two similar triangles are shown. Triangle RST was , then dilated, to create triangle ZXY. plzzzzzz

Answers

Answer: Translated (Option C)

Step-by-step explanation:

Two similar triangles  RST was then dilated, to create triangle ZXY.

For dilation, translation should be done.

What is dilation?

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

As, ΔRST was dilated to form ΔZXY.

But, this can be done by translation , to create ΔZXY

The following information:

Since Triangle ΔZXY is slightly higher and to the right of triangle ΔRST.

So it should be translated.

so, that it could be dilated for ΔZXY.

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Ryan rode his bike 18/4 miles. Which mixed number shows the fraction of miles he rode his bike?

Answers

Answer:

Step-by-step explanation:

4 1/2

Answer:

4 1/2

Step-by-step explanation:

18/4 = 4.5

4.5 = 4 1/2

Mike wants to make a meatloaf. His recipe uses a total of 8 pounds of meat

Answers

It would be 6 pounds of beef and 2 pounds of pork for a total of 8 pounds of meat

Answer:

It's 2 pounds trust me I got it right

Step-by-step explanation:

Which expression is equivalent to 8c+6-3c-2

A.5c+4

B.5c+8

C.11c+4

D.11c+8

Answers

Answer:D

Step-by-step explanation:

You subtract 8-3 which is 11c and then you add 2 to 6 which is 8

Answer:

5c+5, A

Step-by-step explanation:

This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.

Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?

Answers

Answer:

18 points

Step-by-step explanation:

We first need to find the percent increase for both Iliana an Fiona.

To do so, we take the absolute value of difference (the score increase) and we compare/divide it by the original score they had.

So, for Iliana, we have a starting score of 65 and an increase of 21 (86-65).

Her percent of increase is 21/65 = 32.3%

For Fiona, she went from 70 and had a 10 points increase (80-70).

Her percent of increase is 10/70 = 14.3%

The difference between the two percent of increase is 18 points (32.3 - 14.3)

Answer with Step-by-step explanation:

Percentage increase in score is calculated by the formula:

[tex]\dfrac{New\ score-Old\ score}{Old\ score}\times 100[/tex]

Iliana’s math grade increased from 65 to 86.

Percentage increase in Iliana's score is:

[tex]\dfrac{86-65}{65}\times 100[/tex]

=[tex]\dfrac{21}{65}\times 100[/tex]

=32.31%

Fiona’s math grade increased from 70 to 80.

Percentage increase in Fiona's score is:

[tex]\dfrac{80-70}{70}\times 100[/tex]

=[tex]\dfrac{10}{70}\times 100[/tex]

=14.28%

Difference between percentage increases=32.31%-14.28%

                                                                       = 18.03%

Hence, difference, rounded to the nearest whole number, between the approximate percent increases is:

18%

How is 75,054 written in words

Answers

seventy-five thousand and fifty-four.

Answer:

seventy five thousand and fifty four

Step-by-step explanation:

The original price of a DVD was 12. The price was reduced by 18% . What is the new price of the dvd.

Answers

Answer:                        

New price of DVD is $9.84

Answer:

The answer is C. $9.84

Step-by-step explanation:

The original price of the DVD is $12.

So, In order to calculate the price reduced by 18%

Original price - ( rate x Original price) = price reduced

18% = 18/100 = 0.18

$12 - (0.18 x $12) = price reduced

Solving

price reduced = $12 - $2.16

price reduced = $9.84

The new price of the DVD with the price reduced by 18% is $9.84

The rest Is:this behavior is called ____

Help me please 60 points!!

Answers

Answer:

Number 7 is phototropism due to the growth towards the sun and number 8 is Mitochondria as it provides atp which is currency for energy

7 is B

8 is A

Hope this helps :)

Please help on 13!!!

Answers

I am pretty sure your test score has to be an 86.

Answer:

100

Step-by-step explanation:

Let the unknown score be x.

To find the average, you add all the scores and divide by the number of tests. Let's add all the scores including x:

89 + 95 + 76 + x = 260 + x = x + 260

All 4 scores, including the unknown one, add to x + 260.

To find the average, you divide the sum of the scores by the number of grades, which is 4 in this case.

The average is

(x + 260)/4

You want the average to be 90, so set the average equal to 90 and solve for x.

(x + 260)/4 = 90

Multiply both sides by 4.

x + 260 = 360

Subtract 260 from both sides.

x = 100

You must get a 100 on the next test.

(Start studying now!)

Help ASAP 15 points worth

Answers

Answer: Im pretty sure A. x=-6 and y=-4

Answer:

X= -6

Y=-4

Is the Answer A

Sanaa works at a candy store. A customer bought 3.23 pounds of licorice that costs $3.99 per pound including tax. How much money should Sanaa collect from the customer?

Answers

Answer:

$12.89

Step-by-step explanation:

3.23 lb × 3.99 $/lb = 12.8877 $

Since we have to round to the nearest cent, Sanaa should collect $12.89.

Determine the solution, if any, to the system of equations below.
8x - 2y = 1
-4x + y = 3​

Answers

Answer:

DNE.

Step-by-step explanation:

8x - 2y = 1 ---------------------(1)

-4x+ y  = 3----------------------(2)

Multiply (2) by 2

-8x +2y    = 6 -----------------(3)

Add (1) to (3)

8x - 2y + (- 8x + 2y) = 1+6

8x - 2y - 8x +2y  = 7

But all the terms in LHS cancel out, leaving 0.

So you get 0=7, which is not valid.

Therefore no solution exists. DNE

Final answer:

There is no solution to the system of equations.

Explanation:

To solve the system of equations:

8x - 2y = 1

-4x + y = 3

Start by isolating a variable in either equation. Let's isolate y in the second equation by adding 4x to both sides: y = 4x + 3Substitute this expression for y in the first equation: 8x - 2(4x + 3) = 1Simplify the equation: 8x - 8x - 6 = 1Solve for x: -6 = 1. Since this equation is not true, there is no solution to the system of equations.

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Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in3. One day, his sink is clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when Michael begins scooping. (a) One cup has a diameter of 6in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. (b) One cup has a diameter of 10in. and a height of 8in.How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number

Answers

Answer:

A. 14 times

B. 5 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.  

We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).

The volume of the sink is 3000/3 π cubic inches,  let's simplify that as 1000  π cubic inches.

a - Cylindrical cup, diameter 6 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r²h

So, we have:

V = π * 3² * 8 = 72π

So, how many times does Michael has to scoop (S):

[tex]S = \frac{1000 \pi }{72 \pi } = 13.88[/tex]

Of course, he can't scoop 0.83 times... so we'll round it up.

So, Michael will have to scoop 14 times with this first cup.

b - Cylindrical cup, diameter 10 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r² h

So, we have:

V = π * 5² * 8 = 200π

So, how many times does Michael has to scoop (S):

[tex]S = \frac{1000 \pi }{200 \pi } = 5[/tex]

So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.

A book store is having a 30% off sale. Dairy of the wimpy kid books are now $6.30 each. What was the original price of the books.

Answers

Answer:

100% - 30% = 70%

70% = 0.7

6.30 / 0.7 = $9

answer: original price of the books were $9

Answer:

original price of the books was $ 9.

Step-by-step explanation:

Given: A book store is having a 30% off sale. Dairy of the wimpy kid books are now $6.30 each.

To find : What was the original price of the books.

Solution : We have given that discount = 30%

Cost percent 100% - 30% = 70%

Cost of each book after discount =  $6.30.

Let us consider the original price of book = x

x * 70% = $6.30.

x * [tex]\frac{70}{100}[/tex] = $6.30.

On multiplying by 100 both sides

x *70 = 6.30 * 100.

x * 70 =  630.

On dividing both sides by 70

x = [tex]\frac{630}{70}[/tex].

x = $ 9 .

Therefore, original price of the books was $ 9.


In the diagram, if EC = 8, ED = 6 and AE = 12 solve for EB.

Answers

Answer:

The length of segment EB = 4

Step-by-step explanation:

* Lets revise a fact in the circle

- When two chords intersect each other inside a circle, the

  products of their segments are equal

* Now lets use this fact to solve the problem

- AB and CD are two chords in the circle intersect each other

 at point E

- The segments of AB are AE and EB

- The segments of CD are CE and ED

* From the fact above

∴ AE × EB = CE × ED

∵ AE = 12 units

∵ EC = 8 units and ED = 6 units

∴ 12 × EB = 8 × 6

∴ 12 EB = 48 ⇒ divide both sides by 12

∴ EB = 4

* The length of segment EB = 4

Answer:

The length of segment EB = 4 units

Step-by-step explanation:

From the figure we can see a circle with two chords intersects each other.

The products of segments of chords are equal

To find the length of EB

we have EC = 8, ED = 6 and AE = 12

From the figure we can write,

AE * EB = EC * ED

EB =  (EC * ED)/AE

 = (8 * 6)/12 = 4 units

Therefore the correct answer is EB = 4 units

The perimeter of a rectangle is 44. The length is 5 less than double the width. Find the dimensions

Answers

Length: 2w - 5

Width: w

2(2w - 5) + 2w = 44

Distribute:

4w - 10 + 2w = 44

Combine like terms:

6w - 10 = 44

Move 10 to the other side:

6w = 54

Divide by 6:

w = 9, which is the width. That means that 13 is the length.

Final answer:

To find the dimensions of the rectangle, we can set up a system of equations and solve for the width and length. By using the formula for the perimeter of a rectangle, we can find the values of the dimensions.

Explanation:

To solve this problem, we can set up a system of equations based on the given information. Let's assume that the width of the rectangle is 'w', and since the length is 5 less than double the width, we can express the length as '2w - 5'. The perimeter of a rectangle is given by the formula 2(length + width), so we can use this formula to set up an equation:

2(2w - 5 + w) = 44

Simplifying this equation, we get 6w - 10 = 44. Solving for 'w', we find w = 9. Substituting this value back into the expression for the length, we find the length is 13.

Therefore, the dimensions of the rectangle are width = 9 and length = 13.

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Can someone please answer this with steps

Answers

1) Put all equations together and add them up to equal 180. Triangle's angles add up to 180°

EX) (x+10)+(3x-5)+x=180

2)Combine like terms.

EX) (5x+5)=180

3) Subtract 5 to both sides

EX) 5x=175

4) Divide both sides by 5.

EX) x=35

*** PLEASE HELP ASAP

what is the length of the hypotenuse of the triangle?

1. 22 ft
2. 33 ft
3. 57 ft
4. 65 ft​

Answers

Answer is square root of 65

Explanation:

Use the pathagreom theoream: a’2+ b’2= c’2 (C= hypotenus and a + b is legs)

Substitute:

7^2 + 4^2 = c^2

65= c^2

Square root both sides and you get … c= square root of 65

The hypotenuse of the triangle is AB = √65 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The measure of AC = 7 feet

The measure of side BC = 4 feet

Now , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

AB² = AC² + BC²

On simplifying , we get

AB² = 7² + 4²

AB² = 49 + 16

Taking square roots on both sides , we get

AB = √65 feet

Hence , the hypotenuse of the triangle is AB = √65 feet

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If y = 3x – 4 and the domain is { -3, -1, 4}, find the range. When the domain is -3, the range is ______. Show your work to find the range.

Answers

Hello!

The answer is:

When the domain is -3, the range is -13.

Why?

To solve the problem, we need to remember that the domain is also known as the input of the function, and the range of the function is also known as the output of the function.

We are given the inputs and we are asked to calculate the output of the function at -3, so, evaluating -3 into the function, we have:

[tex]y=3x-4\\f(x)=3x-4\\f(-3)=3*(-3)-4=-9-4=-13\\[/tex]

Hence, we have that when the domain is -3, the range is -13.

Have a nice day!

In the figure below, mEHB = (4x-2) and m AHK = 48. What is the value of x?

Answers

12.5° or 13° depends how your teacher wants the answer. 4x-2 = 48

4x = 50

X = 12.5°

From the diagram, since[tex]$\angle AHK$[/tex]  and [tex]$\angle EHB$[/tex]  are supplementary angles, we have [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]

Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex] Solving for x, we get [tex]$x = \boxed{33.5}$.[/tex]

From the diagram, we see that angles [tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex]  are supplementary angles.

Therefore, we have the equation [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]

Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex]

Simplifying both sides of the equation, we get [tex]4x-2 + 48 = 180$.[/tex]

Subtracting 46 from both sides of the equation, we get [tex]4x = 134$.[/tex]

Dividing both sides of the equation by 4, we get

[tex]x = \boxed{33.5}$.[/tex]

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Pamela is shopping for bottled water at the supermarket. Which is the best buy?

A) 1 2-liter bottle for $0.89**
B) 3 1-liter bottles for $1.50
C) 24 0.5-liter bottles for $5.25
D) 36 0.25-liter bottles for $4.75


PLEASE HELP!!

Answers

I believe it’s B... sorry if I’m wrong >_<

Answer:

Its C trust me

Box macaroni and cheese $1.20 for 5.5 ounces = $____ per ounce Question 1 options: 0.22 0.24 1.20

Answers

Answer:I believe the answer is $0.24

Step-by-step explanation:

Answer:

0.22.

Step-by-step explanation:

A chord is a diameter.
always
sometimes
never

Answers

The answer is sometimes, but this is only when the chord passes through the centermost point on the circle.

Hope this helps!

Sometimes is correct!

have a lovely day and don't forget to take care of yourself! ^-^

The probability of a given event is 0.03.

Which statement is true?


a.The event is likely to happen.

b.The event may happen, but it is not likely.

c.The event will definitely not happen.

d.The event has an equal chance of happening or not happening.

Answers

Answer:

b.The event may happen, but it is not likely.

Step-by-step explanation:

b.The event may happen, but it is not likely.  Why?  Because the probability given, 0.02, is very close to 0, which would indicate zero chance of the event happening.

Final answer:

The correct answer is b. The event may happen, but it is not likely. This is because a probability of 0.03 suggests a low likelihood of occurrence, being much closer to 0 than to 1.

Explanation:

The probability of an event is a way to quantify the likelihood that the event will occur, represented as a number between 0 and 1. A probability of 0 means an event is guaranteed not to happen, while a probability of 1 means an event is certain to happen. In this scenario, the probability of the given event is 0.03, which is quite small.

Considering that a probability value close to 0 indicates an event that is very unlikely to happen, and value close to 1 indicates an event that is very likely, it can be concluded that:

This statement (b) is true because a probability of 0.03 indicates that there is only a 3% chance of the event occurring, which suggests that while it's not impossible, it's far less likely to happen than not.

Jenna was alone in the house for two months. To pass the time, she read 216 comics and 150 novels. How many books did she read? She went to her friends Emilia’s house for 5 hours and went shopping for 1 hour. How many hours was she gone?

Answers

Answer:

She read 366 books and she was gone for 6 hours.

Step-by-step explanation:

216+150=366

5+1=6

Final answer:

Jenna read a total of 366 books, combining both the comics and novels. She was gone for 6 hours in total when visiting her friend Emilia and going shopping.

Explanation:

Jenna read a total of 216 comics and 150 novels. To find how many books she read, you simply add these two numbers together:

216 comics

+ 150 novels

216 + 150 = 366 books.

For the second part of the question, Jenna spent 5 hours at Emilia's house and went shopping for 1 hour. To find out how many hours she was gone, you add the two durations of time:

5 hours at Emilia's house

+ 1 hour shopping

5 + 1 = 6 hours gone.

The data set below shows the number of books checked out from a library during the first two weeks of the month:

10, 89, 80, 95, 85, 92, 90, 9, 99, 97, 96, 92, 91, 88

Which of the following statements is true based on the data set?

There is one outlier, indicating very few books were rented out on that day.
There are two outliers, indicating very few books were rented out on those two days.
There are two outliers, indicating an abnormally large number of books were rented out on those two days.
There is one outlier, indicating an abnormally large number of books were rented out on that day.

Answers

Answer:

B

Step-by-step explanation:

There are two outliers, indicating very few books were rented out on those two days.

outlier: a person or thing situated away or detached from the main body or system. Since there are only two smaller numbers those are considered the outliers.

Final answer:

There are two outliers in this data set, indicating very few books were rented out on those two days. These outliers, 10 and 9, are significantly lower than the other data points and can skew the mean and standard deviation.

Explanation:

To analyze outliers in a data set, we first need to understand that an outlier is a data point that is significantly different from the other points. In this data set, most of the numbers are close to 90, while two numbers stand out, 10 and 9. These numbers are significantly lower than other values.

From this, we can conclude that:

There are two outliers, indicating that very few books were rented out on those two days.

It's important to also note that the presence of outliers can often have a significant effect on the mean and standard deviation of the data set. So, in this case, the mean number of books rented per day and the variability (standard deviation) might be skewed by these outliers.

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What is probability

Answers

-Hello There-

Great question you asked.

Probability is the chance that something will happen. In probability there is IMPOSSIBLE UNLIKELY EQUALLY LIKELY LIKLEY AND CERTAIN

Can some one help with this

Answers

Answer:

Yes its true its a straight line

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