A triangular prism. The rectangular sides are 3 feet by 2 feet, 3 feet by 2.5 feet, and 3 feet by 1.5 feet. The 2 triangular sides have a base of 2 feet and height of 1.5 feet.

Trenton is building a skateboarding ramp in the shape of a triangular prism. According to his plan, the ramp would have a base of 2 feet, a height of 1.5 feet, and a length of 3 feet. The riding surface would measure 2.5 feet.

 

If Trenton wants to cover all faces of the ramp with plywood, how much plywood will he need to buy?

Answer:

600

Step-by-step explanation:

Consider ABC and ACD as two triangles. And AC as a base to both of them

so,

AC = AO + OC

= 15 + 25

= 40

Now the area of ABC =

[tex]\frac{1}{2}\times AC\times OB\\= \frac{1}{2}\times 40 \times 10\\= 200[/tex]

In the same way, the area of ACD =

[tex]\frac{1}{2}\times AC\times OD\\= \frac{1}{2}\times 40 \times 20\\= 400[/tex]

Both added together 400 + 200 = 600

Answer:

12 cm^2

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-4x-16=2x+2

-4x-2x= 16+2

-6x = 18

x = 18/-6 = -3

I hope im right!!

Answer:

Step-by-step explanation:

-4x-16=2x+2

-4x-16+16=2x+2+16

-4x=2x+18

-4x-2x=2x+18-2x

-6x=18

{-6x over {-6} = {18} over {-6}

simplify

x=-3

Answer:

6. unbiased because there is no opinion involed

7. biased because favortie is an opinionated word

8. representative because she is not interviewing everyone but only a small number of people to come up with representative data for the whole workplace

Answer:

Did u ever get the answer to this?

Step-by-step explanation:

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Answer:

Below.

Step-by-step explanation:

Prove that if

a^x = b^y = (ab)^(xy)  then x + y = 1.

From the second equation:  

y = 1 - x

So we have:

a^x = b^y = b^(1-x)  

Taking logs:

x ln a = (1-x)ln b

x ln a + x ln b = ln b

x = ln b / ( ln a + ln b)

x = ln b / ln ab.

This is true if x + y = 1.

Now consider b^y = (ab)^(xy):

b^(1 - x) = (ab)^(x(1- x)

ln b - x ln b = x(1 - x)ln ab

ln b - x ln b = x ln ab - x^2 ln ab

Now we substitute for x = ln b / ln ab in this expression.

If left side = right side then we have proved this identity and therefore the original one.

Left side =  ln b - (ln b / ln ab) * ln b =  ln b - (ln b)^2 / ln ab.

Right side = (ln b / ln ab) * ln ab - [(ln b)^2 / (ln ab)^2] * ln ab

=    ln b - (ln b)^2 / ln ab.

Left side = right side so this identity is true, and so the original one

( x + y = 1) is true also.

Answer:

[tex]71a(5a^{6} - 2b^{2} )[/tex]

Step-by-step explanation:

355 a3 a4 - 142 ab2

71a( 5a^6-2b^2)

I hope im right !!

Answer:

x = 2/3

Step-by-step explanation:

Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:

[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])

Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:

[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]

Answer: 15%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1/4, 3/5, 8/10

Step-by-step explanation:

3/5 is greater than 1/4

(2/4 is equal to 2.5/5---that should give you a visual picture why)  

8/10 is greater than 3/5

3/5 multipled by 2 is 6/10

so, 6/10<8/10

Answer:

1/4 then 3/5 then 8/10

Step-by-step explanation:

i did this and got a 100%

Answer:

A=49

B=10

C=105

Step-by-step explanation:

Hope this helps :D !!

Answer:

I am doing edg and A=49 B=10 and C =105 i guessed and i got them correct hope this helps

Step-by-step explanation:

Answer:

Not enough information to give answer

Answer:

yeah not enough info to answer

Answer:

Last one

Step-by-step explanation:

Answer:Analyze the results of the correlation using the given residual plot.

Residual

Step-by-step explanation:

Answer:

To convert an angle measure to radians, multiply it by pi/180.

Step-by-step explanation:

310 * pi/180 = 31pi/18 = 5.41 rad

Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.

Step-by-step explanation:

y=mx+c                 *We want m*

m=(y2-y1)/(x2-x1)

m=(0-1)/(6-3)

m=-1/3

y=-1/3x+2          *(0,2) co-ordinate means it's the y-intercept=c*

I think the slope is -1/3 and then just plt the points on the graph manually.

Answer: this my graph

Step-by-step explanation:

Answer: $6.45

Step-by-step explanation:

Take the total cost of 3 cans of orange juice

$2.15

Now multiply $2.15 by 3

$2.15x3

You will get

$6.45

Answer:

3 : $2.15

9 : ? (more)

9/3 × $2.15 = $6.45

Answer:

57 degress

Step-by-step explanation:

alternate angles theorem

Answer:

5

Step-by-step explanation:

use the distributive property

6 * 1/2 = 3

6 * 1/3 = 2

3 + 2 = 5

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!

-Lil G

Answer:  10 feet

Step-by-step explanation:

Answer:

7 ([tex]y^{2}[/tex] + 6[tex]Z^{2}[/tex])

3a (x - 2y) - 4b(2y - x)

pq(p - 1) - [tex]r^{2}[/tex]( p - 1)

Step-by-step explanation:

(ii) 7y^2+35Z^2

=7(y^2+5Z^2)

(v) 3ax-6ay-8by+4bx

=x(3a+4b)-2y(3a+4b)

=(3a+4b)(x-2y)

viii)p^2q-pr^2-pq+r^2

=pq(p-1)-r^2(p-1)

=(p-1)(pq-r^2)

Answer:

Step-by-step explanation:

Simplifying

1.4x + 3.5y = 0

Solving

1.4x + 3.5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.5y' to each side of the equation.

1.4x + 3.5y + -3.5y = 0 + -3.5y

Combine like terms: 3.5y + -3.5y = 0.0

1.4x + 0.0 = 0 + -3.5y

1.4x = 0 + -3.5y

Remove the zero:

1.4x = -3.5y

Divide each side by '1.4'.

x = -2.5y

Simplifying

x = -2.5y

Answer:

$234

Step-by-step explanation:

Create a proportion where x is the amount he gets working 36 hours

[tex]\frac{312}{48}[/tex] = [tex]\frac{x}{36}[/tex]

Cross multiply and solve for x

48x = 11232

x = 234

So, when he works 36 hours a week, he will get paid $234

Answer:

assuming he is paid hourly?

312÷48= 6.50/hour

so, 6.50÷36= $234

Answer:

each book costs $34

Step-by-step explanation:

assuming that all the books cost the same,

253-15=238

238/7=34

Answer: Each book cost $34.

Step-by-step explanation:

First subtract 253-15.

253-15=238.

Then divide 238/7.

238/7=34

Hope this helps :)