The base of a prism is a right triangle with legs measuring 14 inches and 18 yards. If the height of the prism is 20 yards, find its volume in cubic yards

Answers

Answer 1

Answer:

2520 in³

Step-by-step explanation:

The volume of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A = [tex]\frac{1}{2}[/tex] bh( b is the base and h the height ), thus

A = [tex]\frac{1}{2}[/tex] × 14 × 18 = 7 × 18 = 126 in²

V = 126 × 20 = 2520 in³


Related Questions

Can someone please help me with this⁉️ the math question is in the picture and I’m so confused.

Answers

Answer:i think it’s a=az(b)

Step-by-step explanation:

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle? The triangle is a right triangle because 52 + 122 = 132. The triangle is a right triangle because 5 + 13 > 12. The triangle is not a right triangle because 52 + 132 > 122. The triangle is not a right triangle because 5 + 12 > 13.

Answers

Answer:

The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.

Step-by-step explanation:

5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.

25 + 144 = 169.

13 ^ 2 = 169.

Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.

Given:

Sides of triangle= 5cm, 13cm and 12cm

To find: Whether a triangle is a right angled triangle.

This can be solved by applying Pythagorean theorem:

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

[tex]H^2=P^2+B^2[/tex]

where,

H= Hypotenuse

P= Perpendicular

B=Base

Applying given values in the formula:

[tex]H^2=P^2+B^2\\\\13^2=5^2+12^2\\\\169=25+144\\\\169=169[/tex]

Since, R.H.S= L.H.S

Thus, we can say that this triangle is a right angled triangle.

Learn more:

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The graph shows the total number of inches of snow after different numbers of hours.

Which equation can be used to find the total number of inches of snow, y, after x hours?
A. y = 1.5x
B. y = 2x
C. y = 3x
D. y = 4.5x

Answers

Answer:

A, is the answer.

Step-by-step explanation:

If you take two points and then find the slope between them you'll find that it is 1.5.

You could also make a T-chart or plug in the x coordinates into each possible equation and see which one matches the corresponding y coordinate.

Answer:

A

Step-by-step explanation:

Do toy have a triangle with a 3 angles:60 degrees, 60 degrees, 63 degrees

Answers

Answer:

no.

Step-by-step explanation:

a triangle can only have 180° in total but

60+60+63

=183°

Therefore a triangle can not have these three angles together.

Explain the concept of regression to the mean between
generations.

Answers

Answer:

Regression to the mean occurs when the next generation regresses to the overall mean of the population.

Step-by-step explanation:

Regression to the mean occurs when the next generation regresses to the overall mean of the population. Extreme traits trend back to the average and are not increased or decreased in terms of measure. Measurable traits or characteristics that are extreme move back toward the average value. The next generation traits move back, or regress, to the average of that trait

Answer:

Regression to the mean is a statistical phenomenon that occurs whenever you have a nonrandom sample from a population and two measures that are imperfectly correlated.

Step-by-step explanation:

WILL MARK BRAINLEIST
By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%?

Answers

Answer:

decrease by 50%

Step-by-step explanation:

[tex]\frac{0.4x}{0.8y} =\frac{x}{2y}[/tex]      

Decreased by 60% = (100%-60%)x = 0.4x.

Decreased by 20% = (100%-20%)x = 0.8x.

[tex]\frac{x}{y}[/tex] initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.

Solve 8 = 2x + 4.
X = -4
X=-1
x = 0
X=7

Answers

Answer:

x = -1

Step-by-step explanation:

Write it in exponential form, 2^3 = 2^x+4

Since base is the same, Set the exponents equal, 3 = x + 4

Move the terms, variable goes to the left side and change the sign -x + 3 = 4

Subtract and calculate, -x = 1

Change the signs on both sides, x = -1

Answer:

x=-1

Step-by-step explanation:

i took the test

What is the volume of the right rectangular prism with a length of 18 inches, a width of 4 inches, and a height of 10 inches?
32 in
64 in.
720 in
1,440 in​

Answers

720 in

Solution: 18 x 4 x 10

Answer:

720 inches cubed

hope this helps <3

In the diagram, what is the measure of ZWRS?
Z

(5x)"
R
075
(25x + 30)
0 25°
w
0 37.59
s

Answers

Answer:

WRS=25 degree

Step-by-step explanation:

Angle VRT + angle TRS = 180 degree (supplementary angles)

5x+25x+30=180

5x+25x=180-30

30x=150

x=150/30=5

Substituting x=5 into angle VRT

5(5)=25

VRT= 25 degree

Looking at the diagram, angle VRT and angle WRS are vertically opposite angle and are therefore equal.

Now, angle WRS= 25 degree

The measure of the angle of intersecting lines ∠WRS = 25°

What are the angles formed by 2 intersecting lines?

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the two intersecting lines be a and b

where the measure of ∠SRT = ( 25x + 30 )°

The measure of angle ∠VRT = ( 5x )°

And , the measure of ∠VRT = measure of ∠WRS ( Opposite angles are congruent )

And , the measure of ∠VRT + measure of ∠SRT = 180° ( angles in straight line )

So , 5x + 25x + 30 = 180

30x = 150°

Divide by 30 on both sides , we get

x = 5

Now , the measure of ∠WRS = [ 5 ( 5 ) ] °

Hence , the measure of angle ∠WRS = 25°

To learn more about angles formed by intersecting lines click :

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Find the slope from the table.

Answers

Answer:  D because as the numbers grow the right numbers grow too.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

PLEASE HELP ASAP!! I will give brainliest!!!!And 25 points!!!!

Answers

Answer:

The first one.  -4<=x<2

Step-by-step explanation:

PLEASE HELP ASAP!! I will give brainliest!!!!And 25 points!!!!

The following data points represent the number of emails that the CEO of Rock Town Apparel sent each day since he started using a new email client. 6,59,55,106,84,86,96. use the data to create a histogram

Answers

Answer:

Frequency density is found when we divide the class width being the days of the week = 7    So that when we see 6 emails its divided by 7 =  6/7 0.857142857 as density     59/7 = 8.42857143 and 55/7 =7.85714286  and 106/7 = 15.1428571   and 84/7 = 12  and 86/7 = 12.285714  and 96/7 =13.7142857   this shows us we need to draw 16 bars up and 7 bars across - The bars across (x line) can be days of the week and the bars going up (y line) an be number of emails if 16 is ore than 106/7  then  16 squares > 106/7 then 15 < 106/7  So we ensure its a proportion of 15.143 and not more than that-   and not less than 15.142  for day 4 = 106 emails

What is the insurance premium for a 42-year old nonsmoking female ($6.75) who wants $125,000 in coverage?


a. $33.75


b. $41.50


c. $58.25


d. $60.00

Answers

Answer:

The question is missing the sample life insurance premium illustration  as found in the attached.

The correct option based on the below calculation is A,$33.75

Step-by-step explanation:

A female non-smoker  who wanted a coverage of $25,000 as found in attached the sample life insurance premium illustration would pay $6.75 in premium.

Based on the above, a female non-smoker who wanted a coverage of $125,000 has it premium computed thus:

premium=$125,000/$25,000*$6.75

premium=5*$6.75=$33.75

The correct option is A,$33.75

Answer:

The insurance premium for a 42-year old nonsmoking female who wants $125,000 in coverage is $33.75. The right answer is a.

Step-by-step explanation:

In order to calculate the insurance premium for a 42-year old nonsmoking female who wants $125,000 in coverage we would have to use the following formula:

insurance premium= (coverage amount/monthly premiun amount)*$6.75

Therefore, insurance premium= ($125,000/$25,000)×$6.75

insurance premium= $33.75

The insurance premium for a 42-year old nonsmoking female who wants $125,000 in coverage is $33.75

148 + 2x = 180, What is x equal to?
180
148
28
18

Answers

So X equals 16

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 16[/tex]

Step-by-step explanation:

[tex]148 + 2x = 180 \\ 2x = 180 - 148 \\ 2x = 32 \\ \frac{2x}{2} = \frac{32}{2} \\ x = 16[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

PLSS I NEED U HELP IM BAD AT MATH

Answers

Answer:

B

Step-by-step explanation:

I think is b.....Hope this helps byeee.

Answer:

B

Step-by-step explanation:

Because u need to understand that if u do 45 -15 + 30 you can find the answer by knowing Jerry's age. Therefore it is B.

Oh and anyone reading this my roblox is Supertasticgg and follow me lol ;p

And sub to flamingo if you get it right to.

Help a girl out please and thank you.

Answers

Answer:

Step-by-step explanation:

As all are similar polygons , corresponding sides will be in proportion.

[tex]1)\frac{9}{12} =\frac{3}{4}\\\\[/tex]

Scale factor = 3 : 4

[tex]2)\frac{12}{15}=\frac{4}{5}\\\\[/tex]

Scale factor = 4 : 5

[tex]3) \frac{10}{25}=\frac{2}{5}\\[/tex]

Scale factor = 2:5

4)

[tex]\frac{8}{16}=\frac{1}{2}[/tex]

Scale factor = 1 : 2

A cup chocolate chips weigh about 9 ounces. A recipe calls for 3 3/4 cups of chocolate chips. About how many ounces of chocolate chips are needed?
Hurry Due Today

Answers

Answer:

A cup chocolate chips weighs about 9 ounces.

=> 3 cups of chocolate chips weigh about 9 x 3 = 27 ounces.

=> 3/4 cup of chocolate chips weigh about 9 x 3/4 = 27/4 = 6.75 ounces.

=> 3 and 3/4 cups of chocolate chips weigh about 27 + 6.75 = 33.75 ounces.

Hope this helps!

:)

Answer: 77 + (3 x 4) - (27+56782) +23459 x 21=92,784,273

Step-by-step explanation: hope that solves the problem you are looking for. you are welcome. hope that you get smarter because of me.

How to find the volume of a composite solid

Answers

Answer:To find the volume of a composite solid, u identify the different parts it is made of, work out the volume of each part independently, and sum up the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.

What is the following quotient?
2- √8
4+ 12​

Answers

Answer:

C                   69 gooba

Step-by-step explanation:

In a box of eight donuts, two have pink sprinkles. Express the percent of the donuts in the box that have pink sprinkles

Answers

Answer:

25%

Step-by-step explanation:

2 donuts are 1/4 of all of the donuts so that is 25%

What is the length of a?

Answers

Step-by-step explanation:

under root 75 yards square - 45 yards square

so the length of a is 60 yd.

Look at the attached picture

Hope it will help you

Good luck on your assignment..

z= -91 +14.6i


is the real part of z?


What is the imaginary part of z?

Answers

Answer:

- 91 and 14.6

Step-by-step explanation:

Given a complex number z = a + bi

Then a is the real part and b the imaginary part

Given

z = - 91 + 14.6i , then

- 91 is the real part and 14.6 the imaginary part

Gregory applies honey to one side of his toast. He wants to estimate the likelihood that the toast will land with the honey side facing up when dropped. He drops the toast 40 times and finds that it lands with the honey side facing up 8 times. From this data, it is ________ that the toast will land with the honey side facing down.


A. unlikely

B. Likely

C. neither Likely or unlikely

Answers

Answer:

C. neither Likely or unlikely

Step-by-step explanation:

Its neither because its a 50/50 chance it will land on either side.

Which system of inequalities is shown?

Answers

The answer to the problem is the first one A

The system of inequalities is y<x  and y<4.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other.

To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given, the region is shaded y < 4.

And the region is not exceeding the x.

So, y<x.

Therefore, the system of inequalities is y<x  and y<4.

To learn more about the inequality in mathematics;

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last month maria purchased a new cell phone for $500. the store manager told her that her cell phone would depreciate by 70% every 6 months. maria thinks she will want to replace her phone after a while. what will be the value (V) of her phone if she tries to trade it in after 2 years? select ALL that apply.

A: V=500(0.70)⁴
B: V=500(0.30)⁴
C: V=500(0.30)²
D: V=500(1 - 0.70)⁴
E: V=0.70(500)⁴
F: V=0.30(500)²​

Answers

We have been given that last month Maria purchased a new cell phone for $500. The store manager told her that her cell phone would depreciate by 70% every 6 months.

We know that an exponential function is in form [tex]y=a\cdot (1-r)^x[/tex], where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = Time in years.

Let us convert [tex]70\%[/tex] into decimal form.

[tex]70\%=\frac{70}{100}=0.70[/tex]

Initial value of car is 500, so [tex]a=500[/tex].

Since value of phone depreciates every  months, so value of phone will depreciate twice in a year.

Upon substituting our given values in exponential decay function, we will get:

[tex]V=500(1-0.70)^{2x}[/tex]

To find the value of phone after 2 years, we will substitute [tex]x=2[/tex] in our equation.

[tex]V=500(1-0.70)^{2(\cdot 2)}[/tex]

[tex]V=500(1-0.70)^{4}[/tex]

Therefore, option D is the correct choice.

Let us simplify our equation.

[tex]V=500(0.30)^{4}[/tex]

Therefore, option B is correct as well.

Can someone help me with these

Answers

Answer:

1) b=2 [tex]\sqrt{2}[/tex]  a= 8  2) x=y=  2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

1) since the triangle is isosceles, b=2[tex]\sqrt{2}[/tex] and a= 2[tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex] which is 8

2) x and y equal eachother and is 4/[tex]\sqrt{2}[/tex] which is 2[tex]\sqrt{2}[/tex]

A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3 child tickets for a total of $83. What was the price of each kind of ticket?

Answers

Answer:

Adult tickets cost $11 and child tickets cost $13

Step-by-step explanation:

Multiply the second equation by -2, then add the equations together.

(8a+9c=205)

−2(4a+3c=83)

Becomes:

8a+9c=205

−8a−6c=−166

Add these equations to eliminate a:

3c = 39

Then solve3c=39for c:

3c=39

[tex]\frac{3c}{3}[/tex] = [tex]\frac{39}{3}[/tex]

(Divide both sides by 3)

c = 13

Now that we've found c let's plug it back in to solve for a.

Write down an original equation:

8a+9c=205

Substitute 13 for c in 8a+9c=205:

8a+(9)(13)=205

8a+117=205 (Simplify both sides of the equation)

8a+117+−117=205+−117 (Add -117 to both sides)

8a=88

[tex]\frac{8a}{8}[/tex] = [tex]\frac{88}{8}[/tex]

(Divide both sides by 8)

a = 11

A right triangle has legs measuring 18 in. and 26 in.

What is the length of the hypotenuse?

Round to the nearest tenth.


(A) 18.8 in.

(B) 31.6 in.

(C) 44.0 in.

(D) 100.0 in.

Answers

Answer: B. 31.6 inches

Step-by-step explanation:

You will have to use pythagorean theorem

18^2+26^2=x^2

324+676=1000

Then sqaure root of 1000 is 31.623.

joe paid 14.00 for a board game. this is 70% of the original price. what is the original price

Answers

Answer:

Hello There the Correct answer is 20% start off by finding 10% of $14. in order to find 10%, divide it by 70 which gives 2. you now need to make the 30% to add to the 70%, by timesing the 2 by 3to give 6. now all you need to do it add the 6 to 14 to make 20!

so your answer is $20

Hope it helps!

From ItsNobody

Answer:

Joe paid 14.00 for a board game.

This is 70% of the original price X (70/100 of original price).

We have the ratio: 14/X = 70/100

=> The original price: X = 14 x 100/70 = 20

Hope this helps!

:)

What is the area of a circle with a radius of 6 in.? Use 3.14 for the value of
pi,

Answers

Answer:

113.04

Hope this helps!

Answer:

113.04

Step-by-step explanation:

So in order to get area you gotta do R times R times Pie

So then,

You do 6 times 6,

and get 36,

Then you times 36 by 3.14 estimated,

Which gets you 113.04

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Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x-y=8 y=x-3 Based on the passage, why might someone be less likely to recognize New York City as an ecosystem?A. New York City has buildings that are built by humans.B. New York City has a massive subway system that helps people get around.C. New York City does not seem to have a lot of natural features.D. New York City does not have a rain forest ~story is called Walking Around town by micheal stahl Choose the best option.1.(101), in base 10 is equal to:a)10b)1c)2d)5 does a regular heart rate stay consistent? (before exercise) for example if my mine is at 80 does it stay Consistent like 80,82,84,86,88 or can it go lower or high. sorry if it doesnt make sense Which phrases describe both lakes and ponds? Check all that apply.a. contain still, standing fresh waterb. have no plants growing at the bottomc. formed by rainfall, melted snow and ice, or runoffd. formed by lava or mud blocking a rivere. created by building a dam on a riverf. are shallow enough that sunlight reaches the bottom We can reduce our need for fossil fuels by developingalternative energy sources.A. Alternative energy sources B. Natural gas linesC. Gasoline-powered carsD. New oil sources what was the unions strategy at the beginning of the civil warSELECT ALL ANSWERD THAT APPLYA)to blockade all the confederate coastline B)to hold out until the confederate forces got tired C)to control the mississippi river D)to pay for the war by selling cotton to europe E)to capture Richmond, Virginia what is one important political, social, and economic feature in kongo?need answers asap West High School has a math building in the shape of a regular octagon. When Mrs. Woods measures an interior angle of the octagon (which is inside her classroom), she gets 135.Mrs. Woods ceiling is 10.0 feet high and the length of one side of the building is 25.0 feet. What is the volume of West High Schools math building? Evaluate12^-8 over 12^-9= How did Christianity and education clash during the renaissance Calculate pH a decrease of one unit on the pH scale means a solution is ten times more acidic. a decrease of two units means the solution is 100 times more acidic. how much more acidic is acid precipitation( pH = 4.0) than pure water (PH= 7.0 ) The common causes of spinal cord injuries include:A. Falls & SportsB. Wathing TVC. FishingD. All of the above Calculate the perimeter of the following figure. A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was theaverage desired retirement age, with a standard deviation of 3.4 years. A 96% confidence interval for desired retirement age of all college students is:54.30 to 55.7054.55 to 55.4554.58 to 55.4254 60 to 55.40 Which of the following terms is defined by the measure of mass per unit of volume?gravitydensityweightacceleration What problem was identified regarding the Florida recount in the 2000 presidential election? Which of these is an Arrhenius base?A.LiOHB.NH3C.H2PO4-D.CH3COOH Which statement belongs in Step 4? solve for a side in right triangles