Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need? A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet.

Answers

Answer 1

Answer:

156 ft²

Step-by-step explanation:

Given :

The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.

The 2 triangular sides have a base of 3 feet and height of 4 feet

We sum the area of each side:

Area of triangular side = 1/2 * base * height

Since there are 2 triangular sides :

Total area of triangular side = 2(1/2 * base * height)

Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²

Area of rectangle sides = lengtb * width

Area 1 = 12 * 3 = 36 ft²

Area 2 = 12 * 5 = 60 ft²

Area 3 = 12 * 4 = 48 ft²

Total = 12 + 36 + 60 + 48 = 156 ft²


Related Questions

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

No it's not compulsory.

Step-by-step explanation:

If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle

E.g.

if the ratios of the sides is 5:4:3 then you can find the angle

GI = 6, HI = 8, DT = 12, what is IE?​
a.12
b.16
c.8
d.4

Answers

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = [tex]\frac{48}{12}[/tex]

EI = 4

Therefore, Option D is the correct option.

Which is the solution of the system of equations shown in the graph?

Answers

It’s (5,-7) because on the x axis it’s 5 and on the y axis it’s-7

Answer:

(5, -7).

Step-by-step explanation:

Solution is the point of intersection.

(5, -7).

Need help with this question!!

Answers

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

x = √4 × 3

x = 2√3

Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

Pattern A starts at 0 and uses the rule "add 4." Pattern B starts at 30 and uses the rule "subtract 3."

What are the next four terms in each pattern?

Enter your answers in the boxes.

Answers

Answer: 0  4  8  12  16

              30  27  24  21  18

Step-by-step explanation:

0 + 4 = 4       4 + 4  = 8     8 + 4 = 12   12 + 4 =  16

30 - 3 = 27     27 - 3 = 24    24 - 3 = 21    21 - 3 = 18

Answer:

Step-by-step explanation:

First column add 4  second column subtract 3

0,30

4,27

8,24

12,21

16,18

Gavin needs to fill the fish tank below with water. The directions state that the water level should be 2 inches below the top of the tank. Write an expression to show the volume of water Gavin needs to fill the tank according to the directions.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete; So, I will solve the question generally.

Assume the following;

[tex]l \to length[/tex]

[tex]w \to width[/tex]

[tex]h \to height[/tex]

Since the water level must be 2 inches below the tank height, the water height is:

[tex]H \to h - 2[/tex]

So, the water volume is:

[tex]Volume = l * w * H[/tex]

[tex]Volume = l * w * (h - 2)[/tex]

Hence, the expression is:

[tex]Volume = l * w * (h - 2)[/tex]

Assume that:

[tex]l = 5; w = 10; h = 8[/tex]

The volume becomes:

[tex]Volume = 5 * 10 * (8 - 2)[/tex]

[tex]Volume = 5 * 10 * 6[/tex]

[tex]Volume = 300[/tex] cubic units

1.

For which value of x is the row in the table of values incorrect? The function is the quadratic function y = 5x2.


A. x = 3

B. x = 2

C. x = 0

D. x = 5

Answers

Answer:

A. x = 3

Step-by-step explanation:

0 times 5 = 0

2 times 5 = 10

3 times 5 = 15 then its 75

5 times 5 = 25 then its 125

it never equals to 45 for 3

you have to do it to the power of 2 for 3 and 5

Which of the following measurements must be accurate when used in a grocery store? Check all that apply.​

Answers

i am little bit confused

but according to me

C and D must be right

hope this is helpful

the answer to this is the weight of product.

What is the measure of arc wx in the diagram below?
116"
Wo
45°
S
X
R
A. 116°
B. 45°
C. 710
D. 26°
someonee helpp plss

Answers

Answer:

to find the WX you have to use this formula

m>S=TR-WX/2

45=116-WX/2

90=116-WX

WX=116-90

WX=26

the answer is D 26

Answer:

D

Step-by-step explanation:

The secant- secant angle WSX is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (116 - WX)° = 45° ( multiply both sides by 2 to clear the fraction )

116 - WX = 90° ( subtract 116° from both sides )

- WX = - 26° ( multiply both sides by - 1 )

WX = 26° → D

cual es el resultado de esta ecuacion 8x+9=25

Answers

25? No entiendo perdón

Answer:

x=2

Step-by-step explanation:

Hope I helped and I hope you get it correct

Amy is baking her famous pies to sell at the Town Fall Festival. She uses 32 ¼ cups of flour for every 1 ½ batches of pie that she makes. How many cups of flour would Amy use for 7 batches of pie?

Answers

Answer:

150-1/2 (150.5) cups of flour

Step-by-step explanation:

We know there is a ratio of 32.25 / 1.5 (32-1/4 cups of flour for every 1 1/2 batches of pie that she makes). X is the unknown (as we are trying to solve for flour) so we can set up the problem as such:

32.25    =     x  

1.5                 7

Now we cross multiply to solve:

1.5(x) = 7(32.25)

1.5x = 225.75  -- Simplify then divide both sides by x (to isolate the variable)

x = 150.5

Answer: She uses 32 ¼ cups of flour for every 1 ½ batches of pie

Let’s make it into whole numbers to start…

She uses 64 ½ cups of flour for every 3 batches of pie

She uses 129 cups of flour for every 6 batches of pie

She uses 129/6 cups of flour for every 1 batch of pie

She uses 7 x 129/6 cups of flour for every 7 batches of pie

= 150 ½ cups of flour

jada made a four sided shape with two pairs of parallet lines four right angles

which two shapes could Jada have made ​

Answers

D is your answer I think

Step-by-step explanation:

D is your answer

A cupcake store manager believes that half of the cupcakes sold are vanilla and that the other half is equally divided between chocolate and funfetti. If the manager's belief is correct and 400 cupcakes are sold, how many would you expect to be funfetti

Answers

400 cupcakes in total

200 would be vanilla

so 100 would be chocolate and the remaining 100 should be funfetti

A: 100

100 funfetti cupcakes:)

3x + 5y = 23

y = x + 3

Answers

Answer:

(1,4)

Step-by-step explanation:

Please help me im confused with this​

Answers

Answer:

B. 33 cm^3

Step-by-step explanation:

Volume = 4/3 πr^3

4/3 times 3.14 times 2cm^3

Answer:

33.51 cm³  (closest to Answer B)

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.

With r = 2 cm, the volume is

V = (4/3)π(2 cm)³ = 33.51 cm³  (closest to Answer B)

. Rotate 90 degrees- clockwise.

Answers

Answer:

(4,-1), (2,-5), and (5,-5).

Step-by-step explanation:

There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)

I never heard of a clockwise one before.

Maybe you can use this to help you find the formula for the clockwise rotation.

is .02 equivalent to .002?​

Answers

Answer:

No

Step-by-step explanation:

0.002 has one extra zero making it smaller than 0.02

Answer:

Step-by-step explanation:

.02 is the same thing as [tex]\frac{2}{100}=\frac{1}{50}[/tex]

.002 is the same thing as [tex]\frac{2}{1000}=\frac{1}{500}[/tex]

so, no, they are not equivalent.

a recipe for pancakes requires 1 3/4 cups of milk. how much milk is needed to get twice as many pancakes

Answers

Answer:

7/2 cups of milk.

Step-by-step explanation:

1 3/4=7/4

2(7/4)=14/4=7/2

Answer:

7/2 cups of milk.

Step-by-step explanation:

If you want double the pancakes You must double the amount of milk:

First change it into an improper fraction:

1 3/4=7/4

then multiply it by two and simplify:

2(7/4)=14/4=7/2

If f (2) = 60 – 5.
find x for f (x) = 13

Answers

Answer:

The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Given,

f (2) = 60 – 5

      = (30 X 2) - 5

∴ f (x) = [tex]30x-5[/tex]

Again,

f (x) = 13 [given]

[tex]30x-5=13\\or, 30x= 13+5\\or, 30x=18\\or, x=\frac{18}{30} \\\\or, x=\frac{3}{5} \\[/tex]

∴[tex]x=\frac{3}{5}[/tex]

Verification:

f (x) = [tex]30x-5[/tex]

∴ f ([tex]\frac{3}{5}[/tex]) = (30 X [tex]\frac{3}{5}[/tex]) - 5

         = 18 - 5

         = 13

∴ The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]

40 points
hey whats the answer
pls show step explanation ​

Answers

Answer:.

Answer:1.we have dividend =divisor*quotient+remainder=

(x²+2x-1)(x²-2x+1)+(-4x+1)

=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1

=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1

=x⁴-4x²

Dividend is x⁴-4x².

2.

Multiplier is a-a²+1.

Answer:

[tex]i \: hope \: the \: above \: picture \\ helps[/tex]

[tex]have \: a \: nice \: day \: [/tex]

[tex]#Liliflim[/tex]

Factor the following, I will give 5 stars and thanks.

Answers

Answer:

13) [tex]n=-3,-7[/tex]

14) [tex]b=-4,-8[/tex]

15) [tex]m=-7[/tex]

16) [tex]a=-5,-7[/tex]

Step-by-step explanation:

What is the measure of S?

Answers

Answer:

Step-by-step explanation:

90+42 angle S=180 degree(being sum of interior angles of a triangle)

132 angle S=180

angle S=180-132

angle S=48 degree

State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
1)
12
IS
16
D
DEF

Answers

Answer:

is there anything else that can help?

Step-by-step explanation:

Answer:

Do you have a picture to see the triangles

Step-by-step explanation:

Given the vertices of a triangle ABC below, find the midpoint and length of the midsegment. Give your length in simplified radical form.

Answers

Answer:

Midpoint of AC = (-1, 1)

Midpoint of BC = (1, -2)

Length of the midsegment = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

Vertices of a triangle ABC are A(0, 5), B(4, -1) and C(-2, -3).

Midpoint of segment AC = [tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

                                         = [tex](\frac{0-2}{2},\frac{5-3}{2})[/tex]

                                         = (-1, 1)

Midpoint of BC = [tex](\frac{4-2}{2},\frac{-1-3}{2})[/tex]

                         = [tex](1,-2)[/tex]

Length of the mid segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                              = [tex]\sqrt{(-1-1)^2+(-2-1)^2}[/tex]

                                              = [tex]\sqrt{4+9}[/tex]

                                              = [tex]\sqrt{13}[/tex]

the height in feet above the ground of an arrow after it is shot can be modeled by y=-16r^2+63r+4.Can the arrow pass over a tree that is 68 feet tall? Explain.

Answers

Answer:

yes

Step-by-step explanation:

y=-16r^2+63r+4

maximum value of y :

y'=0

-32r +63=0

r= 63/32

y = -16(63/32)²+63(63/32)+4

= -4 + 124 + 4 = 124 ft

124 > 68

the Arrow can pass over the tree

What is the solution of y= 4x + 6 when y= 18?

Answers

Answer:

18 = 4(3)+6

12 + 6

Step-by-step explanation:

the answer is 18 = 4(3)+6

because y is 18

Answer:

x=3

Step-by-step explanation:

[tex]18 = 4x + 6[/tex]

subtract 6 on both sides

[tex]12 = 4x[/tex]

divide both sides by 4

[tex]3 = x[/tex]

Find the value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(19x + 3)° is an exterior angle of the triangle, then

11x - 2 + 9x + 1 = 19x + 3

20x - 1 = 19x + 3 ( subtract 19x from both sides )

x - 1 = 3 ( add 1 to both sides )

x = 4

Professor Turner wrote the expression below on the chalkboard for his team at the Research Center. He asked the scientists there to write an equivalent expression that eliminated the parentheses.

Answers

Answer:

12x + 18y + 6z + 4x - 4z

Step-by-step explanation:

Given the expression : 3(4x + 6y + 2z) + 4(x – z)

To eliminate the parenthesis ; we use the distributive property :

3(4x + 6y + 2z) + 4(x – z) becomes ;

3*4x + 3*6y + 3*2z + 4*x + 4*-z

12x + 18y + 6z + 4x - 4z

Hence,

12x + 4x + 18y + 6z - 4z

16x + 18y + 2z

Need help worth 20 points

Answers

Answer:

I believe it's 17.202

Step-by-step explanation:

first Lets add the number of people at the age of 50 and over who have done highschool only and some college.

1942+1057= 2999

then multiply that by 100 divided by the total:total

2999*100/17434=17.20201904

answer 17.202

I would still check though cause i'm not sure if this is correct

what is the algebraic equation of the product of twenty and five minus seventy-eight is n?

a. (20-5)-78
b. (20+5)+78
c. (20×5)+78
d. (20×5)-78​

Answers

Answer:

d

Step-by-step explanation:

Other Questions
O desenho retrata a fazenda de So Joaquim da Grama com a casa-grande, a senzala e outros edifcios representativos de uma estrutura arquitetnica caracterstica do perodo escravocrata no Brasil. Esta organizao do espao representa uma a) estratgia econmica e espacial para manter os escravizados prximos do plantio. b) ttica preventiva para evitar roubos e agresses por escravizados fugidos. c) forma de organizao social que fomentou o patriarcalismo e a miscigenao. d) maneira de evitar o contato direto entre os escravizados e seus senhores. e) particularidade das fazendas de caf das regies Sul e Sudeste do pas. You currently have $20,000 in a bank account that pays you 5 percent interest annually. You plan to withdraw $800 (starting 1 year from now) every year for the next 10 years in the same account. How much are you going to have in that account at the end of 10 years? On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article. In 2010,Chesley Inc. acquired Corrigan Ltd. in a hostile takeover. However, the expected synergies never materialized. In 2013, Chesley decided to write-off $45 million of Goodwill on the financial statements to recognize that the Goodwill had become impaired.Which of the following items would be decreased by the impairment of Goodwill? a- Total Assetsb- Net Incomec- Cash from Operating Activitiesd- Cash from Financing Activitiese- Cash from Investing Activities Which artist is known for writing the most mariachi songs in mariachi history? Solve -2y+1=y-5Y=6Y=-6Y=-2Y=3 does the gender of the narrator matter? leaving by m.g vassanji simplify 5^-2please help me! i don't know how to do it and its due today If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people, what is the density of people in the city?Group of answer choicesA. We cannot calculate this value.B. 1000 people per square mileC. 1 person per square mileD. 100 people per square mile help!!!!!!!!!!!!!!!!!!!!!!!!!! The value of which of these expressions is closest to e? what is the thing that represents mitosis?(and it has to be a living thing) Please help due soon What is different about where people live today, as opposed to the past? Distance, remoteness and marginal location enhance the potential for devolution. This form of devolution is referred to as a ethnic devolution. b economic marginalization. c economic devolution. d territorial devolution. What is the area of the shaded region? 4 (3 5) =Possible Answers:A. -4B. -2C. 6D. 12 Calculate the variance and the standard deviation for the following sample data. Scores: 7, 9, 0, 1, 7, 4, 4, 7, 6 Find the area of the sector formed by a central angle of 45 degrees in a circle of radius 2.1meters. Round to the hundredth. Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%