A skateboarding ramp is in the shape of a triangular prism, If the entire ramp is to be painted, and a can on spray paint covers 1,000 sq^2, how many cans will be needed?

Answers

Answer 1

Step-by-step explanation:

I don't have that much time to wait for all the clarifications, so I will make some assumptions based on what I saw in your comments so far.

please change the numbers in the calculation (and the recalculate) as necessary :

we are dealing with a triangular prism that acts as a ramp.

triangular means that the sides are in the shape of triangles.

but the front, the back and also the bottom areas are rectangles.

the area of a rectangle is length×width.

the area of a triangle is baseline×height/2

since it is supposed to be a ramp, I assume the triangle shape of the sides is right-angled. that means the back side of the ramp is standing straight up (90° angle with the bottom).

the height of the ramp is the height of the triangle side areas, and is simply the left leg of the triangle (again, going straight up with a 90° angle to the baseline).

I understand the height is 14 in.

I assume the front length is 50 in. and the depth of the ramp (the length of the baseline of the triangular sides) is 48 in.

now we get the length of the inclined "front" leg of the side triangles via Pythagoras

c² = a² + b²

with c being the side opposite of the 90° angle (exactly the inclined leg we are looking for) :

c² = 14² + 48² = 196 + 2304 = 2500

c = 50 in

that means our front rectangle of the ramp is actually a square of 50in × 50in.

the entire ramp is to be painted. that means really every side, including the bottom.

so, the whole surface area is the sum of the individual areas.

we have

1 (inclined) front area 50in × 50in

1 back side (straight up) 50in × 14in

1 bottom area 50in × 48in

2 side triangles 48in × 14in / 2 = 48in × 14in

so, we get as total area

50×50 = 2500 in²

50×14 = 700 in²

50×48 = 2400 in²

48×14 = 672 in²

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

6272 in²

now, one can of spray paint can cover 2000 in².

that means we need

6272 / 2000 = 3.136 cans.

and since we cannot buy fractions of cans, we need to round up.

we need 4 cans to do the painting job.


Related Questions

What is the area of a regular pentagon with a side of 15 cm?

Answers

Answer:

hello.

• Area: 387.11cm²

•A (side)= 15 cm.

hope this helps.

12, 17, 22, ...
Find the 36th term.

Answers

Answer:

187

Step-by-step explanation:

a=12,d=17-12=5

nth term =a+(n-1)d

36th term=12+(36-1)5

=12+(35×5)

12+175

36th term=187

The value of 36th term is 187.

What is  arithmetic progression?

An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.

abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.

Given series

12, 17, 22,.....

since the series is in AP because the difference between any two consecutive numbers is equal,

17 - 12 = 5 and 22 - 17 = 5

for nth term of AP

aₙ = a₁ + (n - 1)d

where a₁ = 12, n = 36, d  =5

a₃₆ = 12 + (36 - 1)5

a₃₆ = 12 + 35 × 5

a₃₆ = 12 + 175

a₃₆ =  187

Hence 187 is the 36th term.

Learn more about arithmetic progression;

https://brainly.com/question/16947807

#SPJ2

The measure of an angle is 27. 5°. What is the measure of its complementary angle?

Answers

Answer:

62.5 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

So the answer is 90 - 27.5.

Family B lives in Boise, Idaho. Their total household monthly income is
$
4
,
675
.



Use the graph to calculate the central angle of each section for Family B. Then, complete the following table. Note: Express each angle measure as a number, rounded to the nearest tenth of a degree.

Family B
1. Housing
°
2. Food
°
3. Childcare
°
4. Transportation
°
5. Insurance
°
6. Other Needs
°
7. Taxes
°

Answers

The central angles of the monthly budget of family B are 7.2 degrees, 57.6 degrees, 57.6 degrees, 64.8 degrees, 46.8 degrees, 100.8 degrees and 25.2 degrees, respectively

How to determine the central angles?

The central angles of each family is calculated using:

Angle = Percentage * 360

Using the data on the circle graph, we have:

Taxes = 2% * 360 = 7.2 degrees

Housing = 16% * 360 = 57.6 degrees

Food = 16% * 360 = 57.6 degrees

Childcare = 18% * 360 = 64.8 degrees

Transportation = 13% * 360 = 46.8 degrees

Insurance = 28% * 360 = 100.8 degrees

Other needs = 7% * 360 = 25.2 degrees

Read more about circle graphs at:

https://brainly.com/question/24461724

what is 6.7 x 192 ÷ 0.051 ?

Answers

Answer:  Reduce the expression, if possible, by cancelling the common factors

25223.52941176

Hoped this helped :)

If y = 35 when x = 140, what is the value of y when x = 70?

Answers

Answer:

17.5

Step-by-step explanation:

x and y are in the ratio: 1 : 4

which means that if y is 35 x is 4 times y equating to 140

hence if x is 70 then y is 17.5

What is the perimeter of the shape below?

Answers

None of these choices are correct

The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.

i Want to ask about linear equation​

Answers

Answer:

what do you want to know about linear equation?

What is a formula for the nth term of the given sequence?
16,8, 4...

Answers

Answer:

Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide

Step-by-step explanation:

A 60 cm high cylinder with 14 cm its diameter is cut vertically into two equal halves. what is the volume of a half part​

Answers

The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.

Volume of a cylinder

volume of a cylinder = πr²h

where

r = radiush = height

Therefore,

r = 14 / 2 = 7 cm

h = 60 cm

volume of the cylinder = π × 7² × 60

volume of the cylinder = π × 49 × 60

volume of the cylinder = 2940π cm³

The volume of the half part = 2940π / 2 = 1470π cm³

learn more on volume here: https://brainly.com/question/13267675

1,200 and 11 and you will get 13,200

Answers

Answer:

That is true!

[tex]1,200 * 11 = 13,200[/tex]

Let me know if you need more help with multiplication. I may be able to help.

Have a great day.

ANSWER QUICK PLS!!! LOTS OF POINTS!!!

Answers

Answer:

x = 8

Step-by-step explanation:

∠M = ∠K7x - 4 = 5x + 122x = 16x = 8

Answer:

x = 8

m∠M = 52°

m∠K = 52°

m∠L = 128°

m∠J = 128°

Step-by-step explanation:

If the given shape is a parallelogram, its opposite interior angles are equal.

⇒ m∠M = m∠K

⇒ 7x - 4 = 5x + 12

Subtract 5x from both sides:

⇒ 2x - 4 = 12

Add 4 to both sides:

⇒ 2x = 16

Divide both sides by 2:

⇒ x = 8

Substitute found value of x into the expressions for each angle to find the measures of the angles:

⇒ m∠M = 7(8) - 4 = 52°

⇒ m∠K = 5(8) + 12 = 52°

As the angles on the same side of the transversal in a parallelogram sum to 180°, then

⇒ m∠J + m∠M = 180°

⇒ m∠J = 180° - m∠M

⇒ m∠J = 180° - 52°

⇒ m∠J = 128°

As m∠L = m∠J  then m∠L = 128°

I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!

1. The table shows values of a function f (x). What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.

x | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
f(x) | -4 | -2 | 8 | 10 | 11 | 14 | 18 |


2. Given [tex]f(x)=4x^2 +6x[/tex] and [tex]g(x)=2x^2 + 13x + 15[/tex], find [tex](\frac{f}{g})(x).[/tex] Show your work.


3. Given[tex]f(x)=x^2 - 6x + 8[/tex] and [tex]g(x)=x-2[/tex], solve [tex]f(x)=g(x)[/tex] using a table of values. Show your work.


Much thanks and appreciation!

Answers

Answer:

y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

Y= 45-45

Y=0

Step-by-step explanation:

Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.

If Moses ran 8 laps, how many laps did Louis run?

Answers

It’s 12 I from what I think
Answer:12

Step-by-step explanation: the ratio was two to three Moses ran 8 laps meaning 2 multiplied by 4 now you multiply 3 times 4 to get your answer

6-10 divide, another onee thank you!!​

Answers

Answers:

10.) [tex]\displaystyle \pm{5}[/tex]

9.) [tex]\displaystyle 1\frac{1}{2}[/tex]

8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]

6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]

Step-by-step explanations:

10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]

9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]

8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]

6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]

I am joyous to assist you at any time.

can you help me with this

Answers

Answer:

the anwer is b

I did the math

The answer is definetly b

HELP PLEASE WILL GIVE BRAINLISET

Answers

Answer:

300 calories

Explanation:

ran total : 11,775 feetperimeter of circle : 2 π r

Here radius:

diameter/2150/275 ft

perimeter of track = 2 π r = 2 (3.14) (75) = 471 ft

total laps ran:

11,775/47125 laps

So calories burnt:

25* 12300 calories

Answer:

300 calories

Step-by-step explanation:

Circumference of a circle = πd

(where d is the diameter)

Given:

d = 150 ftπ = 3.14

Substitute the given values into the formula to find the circumference (length of one lap):

⇒ Circumference = 3.14 × 150 = 471 ft

Given:

Total distance run = 11,775 ft

⇒ Total laps = total distance run ÷ circumference

                     = 11775 ÷ 471

                     = 25

Given:

Calories burnt per lap = 12

⇒ Total calories burnt = total number of laps × cal burnt per lap

                                     = 25 × 12

                                    = 300 calories

How many triangles can be constructed with side lengths of 1. 8 cm, 3. 4 cm, and 5. 6 cm?
0

1

more than one


please explain your answer

Answers

Answer:

0.

Step-by-step explanation:

1.8 + 3.4 = 5.2.

The sum of two sides is less than the length of the third side (5.6 cm)  so the answer is 0 triangles,

If the record time was 29 in 2015 and now the record time is 25 in 2019 what is the rate of change

Answers

Hope it helpsss best of luck

**WILL GIVE BRAINLIEST** please help me

Answers

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet

Answers

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

What is the formula for Lateral surface area?

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

To learn more about the lateral area visit:

https://brainly.com/question/1297098

Answer:

13

Step-by-step explanation:

What is the reciprocal of look at the attachment

Answers

Answer:

5/2

Step-by-step explanation:

to find the reciprocal you just flip the fraction.

Answer:

the answer is 5/2 because reciprocal means to flip the equation

Step-by-step explanation:

Failing to reject a false null hypothesis is classified as a.

Answers

Answer:

it classified as a

error.

Step-by-step explanation:

For a research project on rodents, 41 chipmunks were tagged and released. Later, researchers counted 320 chipmunks in the area. Of the chipmunks they counted, 16 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?

Answers

820 rodents in total

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

create a proportional equation:

[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]

[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex]                               ( Let the total population be x )

[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]

[tex]\hookrightarrow \sf x= 820[/tex]

Let that be x

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]

[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]

0.17 + (0.68—0.17)* (20- -14.4)/-21.3- -14.4)

Answers

Answer:

See the steps below

Step-by-step explanation:

[tex]0.17 + \cfrac{(0.68-0.17)(20- (-14.4))}{-21.3- (-14.4)} =[/tex]

[tex]0.17 + \cfrac{0.51(20+14.4)}{-21.3+14.4} =[/tex]

[tex]0.17 + \cfrac{0.51*34.4}{-6.9} =[/tex]

[tex]0.17 - \cfrac{17.544}{6.9} =[/tex]

[tex]\cfrac{17}{100} - \cfrac{17544}{6900} =[/tex]

[tex]\cfrac{17*69-17544}{6900} =\\[/tex]

[tex]-\cfrac{16371}{6900} =[/tex]

[tex]-\cfrac{5457}{2300} =[/tex]

[tex]-2\cfrac{857}{2300}[/tex]

I need help finding the area of a triangle!
Here is a picture i have to find the area of triangle ABC

Answers

Answer: B

Step-by-step explanation:

Reflect (-5,-3) over the -axis.
Then translate the result down 2 units.
What are the coordinates of the final point?

Answers

Answer:

(-5,-1)

Step-by-step explanation:

cuanto es 4{(-50+-5)÷3]+6}x[-4+-3÷1)÷3]

Answers

Answer:

-148/3 or -49.3

Step-by-step explanation:

A garden table and a bench cost $767 combined. The garden table costs $53 less than the bench. What is the cost of the bench?

Answers

Answer:

55833 that may answer

Step-by-step explanation:

thanktou

1 m cube is equal to how many centimetre cube? ​

Answers

Answer:

1,000,000 cm³

Step-by-step explanation:

A cube has 3 dimensions of equal measure:  length, width and height

To determine the volume of a cube, we multiply the dimensions:

⇒ volume of a cube = length × width × height

1 metre = 100 centimetres

Therefore, for a cube with a length, width and height of 100 cm:

⇒ volume = 100 cm × 100 cm × 100 cm

                 = 1,000,000 cm³

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