A bicycle ramp used for competitions is a

triangular prism. The volume of the ramp

is 313.2 cubic feet. Write and solve an

equation to find the width of the ramp.

Possible student work:

V=Bh

13.4ft

Answers

Answer 1

Answer:

8.7 feets

Step-by-step explanation:

As obtained frommthe diagram attached :

Base, b of triangle = 6 feets

Height of triangle, h = 12 feets

Volume of a Triangular Prism is obtained using the relation :

Base Area * Width

Base area of prism :

0.5 * base * height

0.5 * 6 * 12 = 36ft²

Width, w of the ramp =x

Volume, V = 313.2 ft³

V = base area * width

313.2 = 36 * x

313.2 = 36x

x = 313.2 / 36

x = 8.7 feets

A Bicycle Ramp Used For Competitions Is Atriangular Prism. The Volume Of The Rampis 313.2 Cubic Feet.

Related Questions

Anwar bought 5 books for rupees 25 and Deepak bought 8 books for Rs 240 who bought the books at a lower price
pls help me fast​

Answers

Answer:

Anwar

Step-by-step explanation:

Find the price of one book

Anwar- Rs. 25÷ 5 = Rs 5 for one book

Deepak- Rs 240 ÷ 8 = Rs 30 for one book

Therefore Anwar bought the books at a lower price

Please help i will give brainliest !!!!

Nasir spent $131 on shirts. Dress shirts cost $28 and plain shirts cost $15. He bought a total of 7 shirts.

How many of each type of shirt did Nasir buy?

DRESS SHIRTS:
and

PLAIN SHIRTS:

Answers

Answer:

2 dress shirts

5 plain shirts

Step-by-step explanation:

2 dress shirts = 28x2=56

5 plain shirts =15x5=75

56+75=131

2+5=7

In this figure
Angle x is 35 degrees less than angle y,angle z is a right angle ,How much is angle x and angle y?

Answers

Answer:

∠y = 62.5°

∠x  =  27.5°

Step-by-step explanation:

z is right angle. ∠z = 90°

∠x = ∠y - 35

∠x + ∠y + ∠z = 180      {Angle sum property of triangle}

y - 35 + y + 90 = 180

y + y - 35 + 90 = 180 {Combine like terms}

  2y  + 55 = 180

          2y = 180 -55      {Subtract 55 from both sides}

          2y = 125         {Divide both sides by 2}

            y = 125 /2

∠y = 62.5°

∠x = 62.5 - 35 = 27.5°

Angela delivered 17 bags of ice on Tuesday. She delivered h bags of ice on Wednesday. Each bag of ice had a mass
of 4.53 kilograms. The total mass of the bags of ice she delivered on both days was 80.42 kilograms.
Which equation can be used to determine h, the number of bags of ice Angela delivered on Wednesday?

A. 17+ (4.53h) = 80.42

B. (17 + h) (4.53) = 80.42

C. (17h) (4.53) = 80.42

D. (17 - h) (4.53) = 80.42

Answers

Answer: C

Step-by-step explanation:

The equation can be used to determine h, (17 + h) (4.53) = 80.42.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Angela delivered 17 bags of ice on Tuesday.

She delivered h bags of ice on Wednesday.

Total bags of ice she delivered = h+ 17

Now, mass of 1 bag= 4.53 Kg

and, The total = 80.42 kilograms.

So, equation can be used to determine h, (17 + h) (4.53) = 80.42.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

A colony of fruit flies doubles in
population every day. There are 12 flies
initially. The variable y gives the number of
fruit flies after x days. What is the base, b,
for the exponential equation of the form
y=a.b' that describes the situation?

Answers

Answer:

Step-by-step explanation:

12

Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?

Answers

Answer:

6-12.

Step-by-step explanation:

Between 6 to 12 two numbers must the third side of the card fall.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Sarah is creating a triangular birthday card for her teacher.

Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.

It should be known that two of the sides measure 4 inches and 9 inches.

Therefore, in between 6 to 12 the third number must be lie.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Finding the volume of a 5.6 by 5.6 cube

Answers

Step-by-step explanation:

The volume of any object needs to be 3d,

so you need to calculate all sides of the cube

it would be base length times base width times the height to get your volume

But since all sides are equal to each other it would be 5.6x5.6x5.6 or 5.6^3=175.616 (units cubed or ^3)

Hope that helps :)

Please give brainliest

What is the greatest common factor for the list below?
39, 52, 26

Answers

Answer:

13

Step-by-step explanation:

26: 1, 2, 13, 26

39: 1, 3, 13, 39

52: 1, 2, 4, 13, 26, 52

The GCF is 13.

PLEASE HELP!! ASAP!

Answers

Here’s my work.....
Hope it helps!

Mike scored a 125 at a semi-final dividing competition season. He scored 95 at this final season. What is the percentage decrease in kc score?

Answers

Answer:

There was a 24% decrease

Step-by-step explanation:

Percentage decrease = (final season's score - semi-final score) / semi final score x 100

[tex]\frac{95-125}{125}[/tex] ×100

[tex]\frac{-30}{125}[/tex] × 100 = -24%

which pair of adjacent angles is complementary?
(the picture is below)

Answers

Answer:

C)

Step-by-step explanation:

The sum of the 2 angles add up to 90 degrees.

Hope this helps! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

can i plz have some help

Answers

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2*pi*r

So,

2*3.14*3

which equals,

18.84

A and B are complementary angles. If m A= (x + 8)° and m
B = (8x + 1)º, then find the measure of ZA.

Answers

Angle A equals to 17 degrees
Complementary angles-sum of two angles is 90 degree. Workup in photo below.
Good luck.

Answer:9

Step-by-step explanation:

how important is it to manage depression and stress effectively support your answer​

Answers

Answer:

its manage to depreciate and that's all

Answer:

Effective stress management helps you break the hold stress has on your life, so you can be happier, healthier, and more productive. The ultimate goal is a balanced life, with time for work, relationships, relaxation, and fun—and the resilience to hold up under pressure and meet challenges head on.

Step-by-step explanation:

These include:

– Exercising regularly and adopting a healthy lifestyle.

– Exploring stress coping programs, which may incorporate meditation, yoga, tai chi, or other gentle exercises.

– Engaging socially.

– Avoiding unnecessary stressors by setting priorities and learning to say “no” to tasks.

Brandi needs to wrap a birthday present for her friend's party. Each side length is 16.7 in. What is the minimum amount of paper needed to cover the box if there is to be no overlap?

Answers

A box has 6 sides so you multiply 16.7 and 6 and you’ll get 100.2
ANSWER IS 100.2in

Evaluate the expression for b = 5

3b + 10

Answers

Answer:

3b = 3 x 5

3 x 5 + 10 = 15 + 10 = 25

Please help!!! "Find the interquartile range (IQR) of the data in the box plot below.

Answers

Answer:

For interquartile range, you will need to find the range of the boxes, and not the line since for the lower quartile is 5.5 and the higher qaurtile is 7, the interquatile range is 1.5

Step-by-step explanation:

I have no idea I’m so sorry

Liz received a gift of 9 songs for her birthday. She buys an additional 3 songs each month.

Answers

Answer:

9+3

= 12

Step-by-step explanation:

9 +3 +

10

11

12

Answer:

45 songs in one year (12months)

Step-by-step explanation:

in one year she will have the following

12 x 3 = 36

+ 9 given

36+9 = 45 songs in one year

if it was decreasing to 11 months or 10 months etc

Then we use this formula

Birthday + (Amount monthly x No of month)

9 + (3 x 11) = 42 in 11 months

or 9 + (3 x 10) = 39 in 10 months

PLLLLZZZZZZ HELLLPppppp

Answers

Answer:

w+4 is bigger!

Step-by-step explanation:

0 is worth nothing

Answer:w>-4

Step-by-step explanation

last question!! please help 40 points:) (sorry if the picture is a little blurry)

Answers

Answer:

Use Desmos to find the points:

(2x + 3) and (2x - 3) are special factors because the only thing that distinguishes between the
two is that one has a negative term and the other does not.
What is the special name for these binomials?
O y-intercepts
Operfect squares
O x-intercepts
O conjugates
1 pts
Question 14

Answers

Answer: Conjugates

Step-by-step explanation:

If I have a meal that cost 6.14 and I have $8 how much change do I get

Answers

Answer:

8-6.14= 1.86

That's what you get

Answer:

you would get $1.86 back

Cubic equation that has been transformed from the parent function with a vertical compression, reflected over the y-axis and shifted up.

Answers

Question is incomplete

Answer:

See Explanation

Step-by-step explanation:

Let the cubic function be

[tex]f(x) = (x,y)[/tex]

First transformation: Vertical compression

Let the scale factor be a where [tex]0 < |a| < 1[/tex]

The new function becomes:

[tex]f'(x) = (x,ay)[/tex]

Next: Reflection over y-axis

The rule is: [tex](x,y)=>(-x,y)[/tex]

The new function becomes:

[tex]f"(x) = (-x,ay)[/tex]

Lastly: Shifted up

Let the units up be b

The rule is: [tex](x,y)=>(x,y+b)[/tex]

So, the new function becomes:

[tex]f"'(x) = (-x,ay+b)[/tex]

Using the rules states above, assume the cubic function is:

[tex]f(x) = x^3[/tex]

Vertical compress [tex]f(x) = x^3[/tex] by [tex]\frac{1}{2}[/tex]

[tex]f'(x) = \frac{1}{2}x^3[/tex]

Reflect [tex]f'(x) = \frac{1}{2}x^3[/tex] over y-axis

Rule: [tex]f"(x)= f'(-x)[/tex]

Solving f'(-x)

[tex]f'(x) = \frac{1}{2}x^3[/tex]

[tex]f'(-x) = \frac{1}{2}(-x)^3[/tex]

[tex]f'(-x) = -\frac{1}{2}x^3[/tex]

So:

[tex]f"(x) = -\frac{1}{2}x^3[/tex]

Lastly: Shift [tex]f"(x) = -\frac{1}{2}x^3[/tex] by 3

Rule: [tex](x,y)=>(x,y+b)[/tex]

[tex]f'"(x) = f"(x + 3)[/tex]

Solving: f"(x + 3)

[tex]f"(x) = -\frac{1}{2}x^3[/tex]

Substitute x + 3 for x

[tex]f"(x + 3) = -\frac{1}{2}(x + 3)^3[/tex]

So:

[tex]f'"(x) = f"(x + 3)[/tex]

[tex]f"'(x) = -\frac{1}{2}(x + 3)^3[/tex]

Find the solution to the following system of linear equations by graphing: 2x + y = 6 2x - y = -2

Answers

Answer:

(1,4)

Step-by-step explanation:

Identify the slope of the graph below

Answers

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

One month Lucy rented 6 movies and 2 video games for a total of $18. The next month she rented 3 movies and 5 video games for a total of $30 . Find the rental cost for each movie and each video game.

Answers

Answer:

Rental cost for each movie = $1.25

Rental cost for each video game =$5.25

Step-by-step explanation:

Let the cost of 1 movie is $x

Cost of 1 video game is $y

So, we can set up equations for the given information

6x+2y =18

3x+5y=30

Let's solve the equations.

Multiply the second equation by -2 to get rid the 'x' terms.

6x+2y =18

-6x-10y=-60

-----------------

 -8y=-42

Divide both sides by -8

y=5.25

Now, plug in y as 5.25 into any of the given equations to find the corresponding x.

3x+5(5.25)=30

Simplify and solve for x.

3x+26.25=30

Subtract both sides 26.25

3x=3.75

Divide both sides by 3

x=1.25

Rental cost for each movie = $1.25

Rental cost for each video game =$5.25

Your friend uses 2 1/2 ounds of dried fruit and 1/2 pound of raisins to make trail mix.How many 1/2 pound packages can he make.

Answers

Answer:

he can make 6 because 2 and 1/2 plus 1/2 = 3 and 3 divided by 2 is 6

Step-by-step explanation:

HELP PLEASE!! i need help on A and B. PLEASE DONT ANSWER IF YOU DONT KNOW!!

Answers

A.
( 2.5 , 11 )
( 5 , 11 )
( 4.5 , 8 )
( 2 , 8 )
( 7 , 11 )
( 7 , 8 )
( 12 , 11 )
( 4.5 , 6 )
( 4.5 , 2 )
( 2 , 2 )
( 2 , 6 )
( 8 , 2 )
( 8 , 6 )
( 11 , 1 )
( 11 , 7 )

6Type the statement or reason the fits in each box. Write your answer as a list. For example: 1. Addition Property of Equality 2. X+5=y+5 3. Simplifying Choose from this word bank. - Subtraction Property of Equality - Division Property of Equality - Distributive Property of Equality - x + 1 = -4 - x = -5Immersive Reader (4 Points)

Answers

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Given

[tex]-x + 1 = -4[/tex]

[tex]-x = -5[/tex]

Required

State which property is used

The word that describes the operation is; subtraction property of equality.

This property states that:

if [tex]x = y[/tex] then

[tex]x - a = y - a[/tex]

So, for the given  equation:

[tex]-x + 1 = -4[/tex]

When the subtraction property of equality is applied

[tex]-x + 1 - 1 = -4 - 1[/tex]

[tex]-x = -5[/tex]

So:

(a) Subtraction Property of Equality is correct

Please help me I’ll mark you brainlyest.

Answers

Answer:

10 and 7

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions!

                                                               -KaraYeaton18

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