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.

Answers

Answer 1

Answer:

l = 626.4/bh

Step-by-step explanation:

A triangular prism have a base that is triangular in shape. The volume of a prism has the volume represented as follows.

volume = Al

where

A = Base area

l = width

Since the base is a triangle the base area will be the area of a triangle. Therefore,

volume of a triangular prism = 1/2bh l

where

b = base of triangle

h = height of triangle

volume = 313.2 ft³

313.2 = 1/2bh l

Make the width(l) subject of the formula

multiply both sides by 2

626.4 = bhl

divide both sides by bh

l = 626.4/bh

l = 626.4/bh

recall l = width


Related Questions

Find the value of g(7) for the function below.
g(x)=7/8 x -1/2
A. 53/8
B. 49/8
C. 60/7
D. 45/8

Answers

To get this you substitute 7 for the x.

7/8(7)-1/2

49/8-1/2

49/8-4/8

45/8 is the value.

Question:

Find the value of g(7) for the function below.

g(x)=7/8 x -1/2

A. 53/8

B. 49/8

C. 60/7

D. 45/8

Answer:

D. 45/8

Please answer correctly !!!!!!! Will mark brainliest

Answers

Answer:

option 1

Step-by-step explanation:

y = 3x + 3   ie       3x -y +3 =0     a1= 3  , b1=-1  ,  c1=3

y = -2x + 3   ie      -2x -y+3 = 0    a2=-2 , b2=-1 , c2=3

on comparing the ratios ,

a1/a2 = 3/2

b1/b2 = -1/-1= 1/1 =1/1= 1

a1/a2 ≠ b1/b2

therefore the pair of linear equations will have exactly one solution

mark me as the brainliest...

Answer:

A

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

is 5 greater than 5 .01

Answers

Answer:

Is 5 greater than 5 .01?

This is incorrect.

Step-by-step explanation:

This is false, that 1% makes 5 .01 greater than 5. Thats why 5.01 is greater than 5.

Answer:

5 is less than 5.01

Step-by-step explanation:

5.01 is greater than 5

There are 2 1/2 pizzas if each gets an eighth of a pizza how many people get a slice

Answers

Answer:

20.

Step-by-step explanation:

That would be 2 1/2 divided by 1/8

= 5/2 / 1/8

= 5/2 * 8

= 40/2

= 20.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

The missing is 7

7 x (6 + 5) - (7 x 6) + (7 x 5)

hope it helps!!!!! :]

Does this represent a proportional relationship? Explain your answer. A specific shade of orange paint calls for 2 parts yellow and 3 parts red. Catie uses 3 cups of yellow paint and 4 cups of red paint to make orange paint.

Answers

Answer:

proportional relationship is not represented by them

Step-by-step explanation:

Ratio a/b and c/d are said to be proportional if a/b = c/d.

_________________________________________________

ratio of yellow part and red part for specific shade of orange =

2 part yellow/ 3 parts red = 2/3

____________________________________________________

ratio of yellow part and red part used by Catie =

3 cups of  yellow/ 4 cups of   red = 3/4

______________________________________

we have two ratio 2/3 and 3/4

but 2/3 is not equal to 3/4

hence , proportional relationship is not represented by them.

PLEASE ANSWER THIS QUESTION !! 20 POINTS AND BRAINLIEST !!

Answers

Answer:

x^2+7x+12

Step-by-step explanation:

(x+3) (x+4)

FOIL

first: x*x = x^2

outer: 4x

inner: 3x

last: 3*4 =12

Add them together

x^2 +4x+3x+12

x^2+7x+12

x^2 + 7x + 12

or A

Hope this helpsss

pls help for this question i need this question to be right thanks

Answers

Answer:

 = 972 pi  units ^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi  (9)^3

 = 972 pi  units ^3

A town has a population of 5000 and grows at 2% every year. What will be the population after 5 years, to the nearest while number?

Answers

Answer:

5520 population after 5 years

Step-by-step explanation

5000*1,02^5 = 5520

hope i could help <3

Find the volume of the cylinder. Either enter an exact answer in terms of Pi or use 3.14 for Pi

Answers

Answer:

169.59

Step-by-step explanation:

Answer:169.56 units^3

Solution,

Radius(r)=3

Height (h)=6

Volume of cylinder= pi r^2 h

= 3.14*(3)^2*6

= 3.14*9*6

=169.56 units^3

Hope it helps

Good luck on your assignment

Al mediodía me he comido la mitad de una tortilla de patatas. A la hora de la merienda, Ana ha tomado un tercio de la tortilla original, y para cenar, Luis se ha tomado tres cuartas partes de lo que quedaba. ¿Qué fracción de la tortilla queda al final del día?

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

La mitad es 1/2 y un tercio es 1/3. Como una persona se comió 1/2 y Ana 1/3, puedes determinar lo que se comieron sumando:

[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]=[tex]\frac{3+2}{6}[/tex]=[tex]\frac{5}{6}[/tex]

Como se comieron 5/6, puedes restar esto de 6/6 para determinar cuanto quedó de la tortilla:

[tex]\frac{6}{6}-\frac{5}{6}= \frac{6-5}{6} =\frac{1}{6}[/tex]

De acuerdo a esto, quedó 1/6 de la tortilla. Luis tomó tres cuartas partes de lo que quedaba, lo que significa que quedó 1/4 de 1/6. Para encontrar la fracción de la tortilla que quedó puedes dividir 1/6 entre cuatro para saber a cuanto corresponde una cuarta parte de 1/6:

[tex]\frac{1}{6}[/tex]÷4= [tex]\frac{1/6}{4}= \frac{1}{6*4}=\frac{1}{24}[/tex]

De acuerdo a esto, la fracción de la tortilla que quedó al final del día es [tex]\frac{1}{24}[/tex].

A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters. Which statements describe the prism? Select three options. The prism is a cube. The diagonal of the base is 4StartRoot 5 EndRoot centimeters. The length of a side of the base is 20 centimeters. The area of a base is 40 square centimeters. The area of a lateral side between the bases is about 126.5 square centimeters.

Answers

Answer: The area between the bases is about 126.5 square centimeters

Step-by-step explanation:The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area between the bases is about 126.5 square centimeters

Answer:

B, D, E

Step-by-step explanation:

Edg2020

Pablo generates the function f(x) = 3/2 {5/2} ^ x-1 to determine the xth number in a sequence.

Answers

Answer:

A on ed2020

Step-by-step explanation:

One vertex of a triangle is located at (0,5) on a coordinate
grid. After a transformation, the vertex is located at (5,0).
Which transformations could have taken place? Select
two options.
Ro, 90°
Ro, 180°
Ro, 270°
U
Ro -90°
Ro -180°

Answers

Answer:  Ro, 270°   and   Ro -90°

Step-by-step explanation:  If the vertex is at 5 on the y-axis at (0,5) and the transformation has moved the vertex to (5,0) it is now at +5 on the x-axis. This is a rotation around the origin, Rotation notation Ro.

This is fairly easy to visualize: like the hand of an analog clock moving from 12 o'clock to 3 o'clock.

In geometry, rotations are given in degrees, moving counter-clockwise. There are 360° in a circle.

Moving 3/4 of the way around the circle counterclockwise.  

Multiply(3/4)(360) =  270. This is a positive rotation, counter-clockwise

Clockwise, it is 1/4 of the circle, so Multiply (1/4)(360)= 90  But remember to add the negative sign because clockwise is considered a negative rotation.

Ro, -90°

The transformations that could have taken place are Ro, 270° and Ro -90°

How to determine the transformations

The vertex of the triangle is given as: (0,5)

After transformation, the vertex of the image is given as: (5,0)

The transformation follows the rule:

[tex](x,y) \to (y,x)[/tex]

The above rule represent:

90 degrees counterclockwise rotation270 degrees clockwise rotation

Hence, the true statements are Ro, 270° and Ro -90°

Read more about transformation at:

https://brainly.com/question/1548871

Which expression is equivalent to 85? A) 8 · 5 B) 8 + 8 + 8 + 8 + 8 C) 8 · 8 · 8 · 8 · 8 D) 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5

Answers

Answer:

A. 8.5

Step-by-step explanation:

is equivalent to 85 because

8.5 is in decimal.

remove the point from the middle and it will be 85 over 10.

Answer:

A

Step-by-step explanation:

A group of 5 friends sold lemonade. If they sold the cups for $0.50, how much money did each friend make if they split the money evenly?

Answers

How many did they sell?

Answer:

i cannot answer your question accuratley because you did not provide enough information but i can show you how to solve your problem

Step-by-step explanation:

if you are provided with the amount of cups they sold multiply that number by $0.50. divide the product by 5 and you will get your answer

hope this helps :)

What is the value of the expression below when w =2 ? 8w²+8w+9

Answers

Answer:

57

Step-by-step explanation:

Replace the variable with the said number

(8 x (2²))+(8 x 2)+9

Simplify

8 x 4 + 8 x 2 + 9

32 + 16 + 9

Solve

32 + 16 + 9 = 57

Answer:44

Step-by-step explanation:

Amelia stars reading at 3: 25 and reads for 15 minute. What type of angle is formed by the hour and minute hands of the clock wen Amelia fineshes reading

Answers

Answer:

Step-by-step explanation:

If sh starts reading at 3:25 and reads for 15 minutes, she is finished at 3:40. The hour hand is on the 3 and the minute hand is on the 8, so there is a difference of 25 minutes between the hour hand and the minute hand. Each 5-minute increment is 30 degrees (360 / 12) so 30 x 5 = 150 degrees. This is an obtuse angle. Not sure what kind of an answer you're looking for so I gave both the degree measure of the angle formed by the hour hand and the minute hand, and the classification of the angle.

Answer:

90 degrees, which is a right angle

Step-by-step explanation:

The time indicates when she starts reading is irrelevant. The only thing to notice is that she reeds for 15 minutes. Whenever you read for 15 minutes the angle that is formed by the hour and minute hands of the clock will always be the same, regardless of the starting time!

60 minutes comes down to 360 degrees.

1 minute = 60/60 and that comes down to 360/60 = 6 degrees.

15 minutes = 15 times 1 minute....

15 minutes comes down to 15* 6 = 90 degrees

90 degrees is a right angle

what is this can someone tell me

Answers

Answer:

A. y+4=f(x)

Step-by-step explanation:

if you were to make this a y= equation then you would have to move the 4 to the other side by subtracting 4 from both sides therefore making the value of f(x) - 4

you should try it out in a graphic calculator like Desmos, it's an online graphic calculator

Consider the polynomial 6x2 - 8x + 2.
What is the GCF of the polynomial?
2
What is the equivalent factored form of the polynomial?
(3x - 1)(x - 1)
(3x + 1)(x + 1)
2(3x - 1)(x - 1)
2(3x + 1)(x + 1)

Answers

Answer:

2(3x - 1)(x - 1)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

e2021

Find the arc length of AB. Round answer to nearest tenth.

Answers

Answer:

9.8 inches

Step-by-step explanation:

Set up a proportion:

central angle / 360  = arc length / circumference

[tex]\frac{80}{360}[/tex] = [tex]\frac{x}{14\pi }[/tex]

360 divided by 14pi is about 8.2, so divide 80 by 8.2 to find x.

x = 9.8 in

Answer:

9.8 inches

Step-by-step explanation:

The formula for arc length is (θ/360)2πr

This is where θ represents the measure of the central angle in degrees,

and r represents the radius of the circle.

This said, we can plug our values in.

(80/360)2π7

Simplify.

(2/9)14/π

28/9π

9.7738438112

Round to nearest tenth.

9.8

The _______ represents half the distance between the maximum of a sine or cosine graph
Options: Extreme values, amplitude, period, frequency
answer quickly pleaseeeee

Answers

Answer: amplitude

Step-by-step explanation: The amplitude represents half the distance between the maximum of a sine or cosine graph.

The solution is Option B.

The amplitude represents half the distance between the maximum of a sine or cosine graph

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the distance between the maximum of a sine or cosine graph be A

Now , the maximum of sine graph is when θ = 90°

So , sin 90° = 1

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1

And , the maximum of cos graph is when θ = 360°

So , cos 360° = 1

Maximum value of cos θ is 1 when θ = 0˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚.

Hence , amplitude represents half the distance between the maximum of a sine or cosine graph

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ6

Test whether the following functions are analytic exp(x).(cos y + i sin y)

Answers

Answer:

The given f(z) is analytic function

i)  δU/δx   = eˣ (cos y) = δV/δy    

ii)  δU/δy   = eˣ (-sin y) = -  δV/δx  

Hence the CR - equations are satisfied

Step-by-step explanation:

Explanation:-

Analytic function:-

A point at which an analytic function ceases to posses a derivative is

called a singular point of the function.Thus the necessary and sufficient condition for a complex function f(Z) = U+i V is analytic in a region R are

δU/δx = δV/δy     and δU/δy = -δV/δx    ( C R equations)

Given f(Z) = eˣ(cos y+ i sin y)

Let          U = eˣ(cos y)   ....(i)

and

              V = eˣ(sin y) ....(ii)

Differentiating equation(i) partially with respective to 'x'

             δU/δx   = eˣ (cos y)

Differentiating partially equation(i) with respective to 'y'

             δU/δy    = eˣ (-sin y)

Differentiating equation(ii) partially with respective to 'x'

             δV/δx    = eˣ (sin y)

Differentiating equation(ii) partially with respective to 'y'

             δV/δy    = eˣ (cos y)

Now

          δU/δx   = eˣ (cos y) = δV/δy    

i)            δU/δx = δV/δy  

           δU/δy   = eˣ (-sin y) = -  δV/δx    

ii)         δU/δy = -  δV/δx    

Hence the CR - equations are satisfied

There fore the given f(z) is analytic function

   

             

Anyone got the RIGHT answer to this?

Make x the subject of:
h = 4 ( x + 3y ) + 2

Answers

Answer:

[tex]x=\frac{1}{4}h-\frac{1}{2} -3y[/tex]

Step-by-step explanation:

[tex]h = 4 ( x + 3y ) + 2[/tex]

[tex]h-2=4(x+3y)[/tex]

[tex]4(x+3y)=h-2[/tex]

[tex]x+3y=\frac{h-2}{4}[/tex]

[tex]x=\frac{h-2}{4}-3y[/tex]

The circumference of a circle B is 80% of the circumference of circle A
find the ratio of the area of circle A to the area of circle B. giving your answer in the form 100:n

Answers

Answer:

100:64

Step-by-step explanation:

i don't know how i got it LOL

The ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Let we suppose that:

The radius of circle A = C unitsThe radius of circle B = s units.

Then we get:

Circumference of circle A = [tex]2\pi r \: \rm units[/tex]Circumference of circle B = [tex]2\pi s \: \rm units[/tex]

As per the given information:

The circumference of a circle B is 80% of the circumference of circle A, or:

[tex]2\pi s \: \rm units[/tex] = 80% of [tex]2\pi r \: \rm units[/tex]

or:

[tex]2\pi s = \dfrac{2\pi r}{100} \times 80\\\\s = 0.8r \: \rm units[/tex]

Also, we have:

Area of circle A = [tex]\pi r^2 \: \rm units[/tex]Area of circle B = [tex]\pi s^2 \: \rm units[/tex]

The rato of the area of the circle A to the area of the circle B is:

[tex]Area(A): Area(B) = \dfrac{\pi r^2}{\pi s^2} = \left( \dfrac{r}{s}\right)^2[/tex]

since we've got [tex]s= 0.8r[/tex], therefore,

[tex]Area(A): Area(B)= \left( \dfrac{r}{s}\right)^2 = \left(\dfrac{r}{0.8r}\right)^2 = \dfrac{100}{64} \\\\Area(A): Area(B)=\dfrac{100}{64} = 100:64[/tex]

Thus, the ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

Learn more about ratio here:

brainly.com/question/186659

A circle is cut from a square piece of cloth, as shown: How many square inches of cloth are cut from the square? (π = 3.14)
A.) 1,061.32 in2
B.) 2,122.64 in2
C.) 2,704.00 in2
D.) 3,622.31 in2

Answers

Answer:

2122.64 in^2

Step-by-step explanation:

Use the formula for the area of a circle: A=πr^2

The radius will be half the width of the cloth so 52÷2=26

26^2=676

Multiply by π given as 3.14

676×3.14=2122.64 square inches.

The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.

Answer:

B

Step-by-step explanation:

2,122.64 in2

Find the surface area.

Answers

Answer:

The answer is 657.63

explanation

cylinder surface area = 897.63

rectangular prism surface area = 240

897.63 - 240 = 657.63

I have not done surface area in a while so It might be slighty off, sorry

Consider these signed numbers and determine whether each product is positive or negative.
(-2/3) (5 2/4)
Positive
Negative
(4 5/9) (4/5)
(-6 3/4) (-7 1/11)

Answers

Answer:

(-2/3) (5 2/4)  Negative

(4 5/9) (4/5) Positive

(-6 3/4) (-7 1/11) Positive

Step-by-step explanation:

There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

(-2/3) (5 2/4)  Negative

(4 5/9) (4/5) Positive

(-6 3/4) (-7 1/11) Positive

The solution is given below:-

(-2/3) (5²/₄)  Negative

(4⁵/₉) (4/5) Positive

(-6³/₄) (-7¹/₁₁) Positive

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The product is always negative when a negative integer is multiplied by a positive number. The result is always positive whether you multiply two negative or positive numbers.

The multiplication will be done as:-

(-2/3) x (5²/₄) = ( -44 / 12 ) Negative

(4⁵/₉) x (4/5) = ( 164 / 45 ) Positive

(-6³/₄) x  (-7¹/₁₁) = ( 2106 / 44 ) Positive

To know more about multiplication follow

brainly.com/question/10873737

#SPJ2

p + 0.20p as an equivalent expression

Answers

Answer:

An equivalent expression to p - 0.20p is 0.8p Hope this helps :)

what is 1 plus 1 am dum

Answers

Answer:

2

Step-by-step explanation:

1 +1=2

Answer:

2

Step-by-step explanation:

Other Questions
According to new trade theory, trade, through its impact on economies of scale, is most likely to reduce the volume of the goods produced. decrease the variety of goods available to consumers. decrease the average costs of goods. inhibit first-mover advantages in all industries. benefit only nations that differ in resource endowments or technology. 9(x-4) = 9x-33how many solutions does this have? 20Select the correct answer.What is the purpose of a FICA tax?A. It provides health insurance for people who are retired or disabled.B. It helps the state government finance education projects.C. It helps local councils finance development projects.ResetNext Find f(-3) if f(x) = xx What is the vertex of the graph of y=-x^2 help me... 3(x + 6) 2(x 4) > 5(x + 2) A number line going from negative 8 to positive 8 in increments of 2. Which integer is the farthest to the left of 0? What is the value of x in the equation 3X minus 4Y equals 65, when Y equals four Consider an atom. Which contributes most to the mass of the atom? In the Soft Boulder Cafe each table has 3 legs, each chair has 4 legs and all the customers and the three members of staff have two legs each. There are four chairs at each table. At a certain time, three-quarters of the chairs are occupied by customers and there are 206 legs altogether in the cafe. How many chairs does the cafe have? What does the poem means today? ( in 2020) Which equation represents a line which is parallel to y = 0?A. y = 6B. x = -5C. y = xD. y = x - 1 Non-native species are typically introduced into an area because they serve a purpose. Why was kudzu introduced into the United States? Check all that apply. E. Preslay Company prepares monthly financial statements and uses the gross profit method to estimate ending inventories. Historically, the company has had a 40% gross profit rate. During June, net sales amounted to $200,000; the beginning inventory on June 1 was $60,000; and the cost of goods purchased during June amounted to $90,000. The estimated cost of E. Preslay Company's inventory on June 30 is Two standard six-sided dice are tossed. What is the probability of getting a 3 and a 5P(3 and 5)a)1/24b)1/36c)1/3d)1/12 which of the following elements have to keep the meaning of a sentence clear for the reader A.splitting infinitives with a modifierB. Separating parts of a verb phraseC. Isolating the subject and veb from the direct objectD. Ensuring pronouns agree with their antecdents Analyze whether the tiger is at the same level and whether it obtains the same amount of energy in both the food chains. Please help me pleaseUse Figure 1 Tay-Sachs Disease Pedigree to answer the following questions. a.Interpret what the Roman numerals in the pedigree diagram represent.b.Interpret the genotypes of the parents in this diagram.c.If a person who does not carry the Tay-Sachs disease gene marries offspring II4, what are the possible genotypes for their children? 2.If I paid $1.45 for an apple and an orange, and the apple cost 15 cents more than the orange, how much did the orange cost?