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andriy [413]
4 years ago
15

A stop sign is shown. Each side measures 12.4 inches and the distance from any side to the opposite is 30 inches. Divide the sto

p sign into one rectangle and two trapezoids what are the dimensions of the rectangle and each of the trapezoids
Mathematics
1 answer:
Daniel [21]4 years ago
3 0

A stop sign has a total of 8 sides measuring 12.4 inches on each side and 30 inches for the distance of each sides.

 

Given the measurement, the rectangle's dimensions are as follows:

If divided horizontally: Length = 12.4 inches, width = 30 inches

If divided vertically: Length = 30 inches, width = 12.4 inches

 

From the divided rectangle, we can produce a 3-side equal trapezoid. In this case, we will have a uniform measurement of 12.4 inches on each side and 30 inches for the longer side.

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Marrrta [24]
I know this hold up I’ve done this in yr 7
3 0
3 years ago
You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c
natta225 [31]

By definition, the volume of a cylinder is given by:

V =\pi r^2h

Where,

r: cylinder radius

h: cylinder height

From here, we clear the height.

We have then:

h = \frac{V}{\pi r^2 }

Then, replacing values we have:

h = \frac{324\pi }{\pi 6^2 }

h = 9 inches

Answer:

The least possible height of the container is 9 inches.

4 0
3 years ago
Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer
Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so P = 9000

Interest rate of 8%, so r = 0.08

Compounded quarterly, so n = 4

5 years and 6 months, that is, 5 years and half, so t = 5.5

(a) How much would the value of her savings at the end of the term?

A(t) = P(1 + \frac{r}{n})^{nt}

A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0
3 years ago
If two corresponding angles in two triangles are congruent, and the side between the angles are congruent, do you believe the tr
murzikaleks [220]

Answer:

No.

Step-by-step explanation:

Side NM or side MO can be different

6 0
3 years ago
When dante was born, his grandparents deposited $10,000 into a special college fund that paid 4% annual interest, compounded mon
RSB [31]

Using compound interest, it is found that Dante was 6.6 years old when the balance in the account reached $13,000.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

In this problem, we have that the parameters are given as follows:

A(t) = 13000, A(0) = 10000, r = 0.04, n = 12.

Hence the time in years is found as follows:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

13000 = 10000\left(1 + \frac{0.04}{12}\right)^{12t}

(1.0033)^{12t} = 1.3

\log{(1.0033)^{12t}} = \log{1.3}

12t\log{1.0033} =  \log{1.3}

t = \frac{\log{1.3}}{12\log{1.0033}}

t = 6.6

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

5 0
2 years ago
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