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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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Help me please?? ????
Mkey [24]

Answer:

40 days

Step-by-step explanation:

8 × 5 = 40

[character limit pass]

8 0
3 years ago
What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and an
Amiraneli [1.4K]

Answer:

D.) 38.6 m

Step-by-step explanation:

Use the cosine ratio:

cosine=\frac{adjacent}{hypotenuse}

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

cos75=\frac{10}{x}

Now isolate the variable. Multiply both sides by x:

x(cos75)=x(\frac{10}{x} )

The x's on the right side cancel each other out. Simplify:

x*cos75=10

Now divide both sides by cos75°:

\frac{x*cos75}{cos75} =\frac{10}{cos75}

The cos75° on the left side cancels each other. Simplify:

x=\frac{10}{cos75}

Insert this value into a calculator to simplify the value of x:

x=38.6

The hypotenuse is 38.6 m.

:Done

3 0
3 years ago
The table shows population data year 2000 118,000 2006 138,000 a. what is the percent of change to 2006 b. Use this percent of c
worty [1.4K]
A) Now look, in the year 2000, the population is 118,000
In the year 2006 is 138,000
To find the percent change |Original Amt - New Amt|                                            --------------------------------       x100
                                                 Original Amt


So for this question you would do 118,00 - 138,000 (ignore the negativesss)

     and you get -20,000 (ignore the negatives) and then you get 20,000


Now, you have to do 20,000 divided by 118,000 x 100


20,000 divided by 118,000 and you get 0.169491525


Now you have to multiply 0.169491525 by 100

0.169491525 x 100 = 16.9491525

Round this and you get a 16.9% change.

b) To predict the population in 2012 you will have to do 138,000 + 16.9%

To calculate this you have to do this:
                                                 138,000 x 0.169 = 23322

Now add 23,322, to 138,000 and you get 161,322.

A) 16.9%

B) 161,322

hope this helped :)
5 0
3 years ago
Nara got two new plants for her apartment. Each plant grew at a constant rate.
stira [4]

Answer:

Which plant was taller when Nara got the plants? C. They were equally tall

Which plant grew faster?  B. The second plant

Step-by-step explanation:

Slope of the first plant :

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

m = (36 - 34)/(15 - 10) = 0.4

y-intercept of the first plant :

y = m*x + b

b = y1 - m*x1

b = 34 - 0.4*10 = 30

From the picture we can see that the y-intercept of the second plant is 30 cm

Y-intercept represents plant heights when Nara got the plants; then they were equally tall

From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1

Slope measures how fast each plant grew; then the second plant grew faster

7 0
3 years ago
Sabendo que a-b=30 a/11=b/6,determine o valor do a e do b
timurjin [86]
I hope this helps you

5 0
3 years ago
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