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laiz [17]
3 years ago
12

6. You are given a sheet of cardboard that is 8.0 in. x 11.0 in. How many full circles with a diameter of 3.0 inches can you cut

from the cardboard? What is the percentage of waste if the
Mathematics
1 answer:
larisa86 [58]3 years ago
4 0
In order to answer this, it would be useful to calculate the area of the cardboard and the circles. We do as follows:

Total area of cardboard = <span> 8.0 in. x 11.0 in = 88 in^2

Area of one circle = pi(r^2) = pi(0.5)^2 = 0.7854 in^2

Number of full circles = 88 / 0.7854 = 112.0451

Therefore, there will be 112 number of full circles. The percentage of waste is equal to:

% waste = (88 - 0.7854(112) / 88) x 100= 0.04%</span>
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One third of the candidates for a job were 25 years old or younger. two sevenths of the candidates were at least 50 years old. i
Shalnov [3]
There are three groups of people: 25 years old and younger, between 25 to 50, and 50 years old and older. Their fractions must equal to 1 because these three together form the whole.

1 = 1/3 + 2/7 + x
where x is the fraction for people ages 25 to 50 years old
x = 8/21

So, the actual number of people ages 25 to 50 years old is:

84(8/21) = 32 people

7 0
3 years ago
Please Help!
JulijaS [17]

Answer:8865=6000(1+\frac{5\times t}{100})

Step-by-step explanation:

Given

Liam deposited P=\$\ 6000

Rate of interest is R=5\ \%

If the amount after t years is A=\$\ 8865

Simple interest is given by

S.I.=\dfrac{P\times R\times t}{100}

And amount is

A=P+S.I.

A=P(1+\frac{R\times t}{100})

Substituting values we get

8865=6000(1+\frac{5\times t}{100})

1.4775=1+\frac{5\times t}{100}

0.4775\frac{5\times t}{100}

5t=47.75

t=\frac{47.75}{5}=9.55\ years

8 0
3 years ago
Please help!!! I’ll mark as brainliest :)
lyudmila [28]

Answer:

the third one

Step-by-step explanation:

5 0
3 years ago
Which best describes the data set?
MAXImum [283]

Answer:

The answer is C

Step-by-step explanation:

It is nonlinear but you have to look at it compared to the months passed. In three months the total houses built are 33 this would mean each month they build 11 houses but in the fourth month they have built 46 houses because 46-11 dosnt equal 33 it is nonlinear.

4 0
3 years ago
Read 2 more answers
The areas of two similar triangles are 9cm2, and 49cm2. One of the sides of the first triangle is 2cm. What is the length of the
BlackZzzverrR [31]

Answer:

4 2/3  cm

Step-by-step explanation:

When we have area, it is the related to the scale factor by the scale factor squared

Area large/ area of small = 49/9

Take the square root

sqrt(49/9)  = 7/3

The scale factor is 7/3    large to small

The small side is 2 cm

large         7            x cm

--------   =  ------ =  -----------

small           3           2 cm

Using cross products

7*2 = 3x

Divide by 3

14/3 = 3x/3

14/3 = the large side

4 2/3  cm

3 0
3 years ago
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