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aksik [14]
3 years ago
13

Consider the net of a triangular prism where each unit on the coordinate plane represents five feet. If a can of spray paint cov

ers 25 square feet, how many cans of spray paint are needed to paint the outside of the prism blue? A) 5 cans B) 7 cans C) 10 cans D)14 cans

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

B) 7 cans

Step-by-step explanation:

First task is to determine how many square units we have.

With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.

The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2.  Both have a base of 1 unit, and a height of 1 unit... so  (1 * 1) / 2  = 1/2 for each triangle.  Together, they occupy 1 unit.

So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate.  Each unit is 5 feet.  So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.

Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).

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What is the slope of the line that cuts through the points (1, -5) and (3, 5)?
PolarNik [594]

Answer:

a. 5

Step-by-step explanation:

To find slope, subtract the y's.

5 - -5 is 10.

Put that on the top of a fraction.

Subtract the x's.

3 - 1 is 2, put that on the bottom of the fraction.

So the slope is 10/2. This simplifies to 5 (because 10÷2 is 5).

The slope is 5.

8 0
2 years ago
Write the equation of a line that is perpendicular to y = -2/3x + 1 and passes through (-6 , 4 ).
Mashcka [7]

Answer:

So your answer is x=0.

Step-by-step explanation:

8 0
2 years ago
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
Anni [7]

Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

4 0
3 years ago
Which is larger 4 yard or 13 foot?
kow [346]
As 1 yard is equal to 3 feet , so 4 yard will be 12 feet !

so 13 foot > 4 yards
4 0
3 years ago
Express 38% as a fraction in simplest form.​
Gnoma [55]

Answer:

19/50

Step-by-step explanation:

7 0
3 years ago
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