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DanielleElmas [232]
2 years ago
9

A circular clock has a circumference of 27 inches. Find the approximate diameter of the clock. Use 3.14 for π . Round to the nea

rest hundredth if necessary.
Mathematics
1 answer:
kkurt [141]2 years ago
8 0

Answer:

8.60 inches

Step-by-step explanation:

The equation for circumference is 2πr. So we can solve for r (radius).

27inches=2πr

divide both sides by 2π :

r=4.299

The equation for diameter is 2*r so we just multiply

4.299 *2 = 8.598

since we have to round to the hundredth place the answer would be

8.60

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The parents of three children, ages 1, 3, and 6, wish to set up a trust fund that will pay X to each child upon attainment of ag
ehidna [41]

Answer:

The equation of <em>Z</em> is: Z=X(v^{17}+v^{15}+v^{12})+Y(v^{20}+v^{18}+v^{15})

Step-by-step explanation:

  • The first child is of age 1 year.

        Then the amount invested for the 1-year old is: Xv^{17}+Yv^{20}

  • The second child is of age 3 years.

        Then the amount invested for the 3-year old is: Xv^{15}+Yv^{18}

  • The third child is of age 6 years.

        Then the amount invested for the 6-year old is: Xv^{12}+Yv^{15}

The one-time investment will be:

Z=Xv^{17}+Yv^{20}+Xv^{15}+Yv^{18}+Xv^{12}+Yv^{15}\\=X(v^{17}+v^{15}+v^{12})+Y(v^{20}+v^{18}+v^{15})

6 0
3 years ago
Evan used base-10 blocks to model the product of 3 and 0.51.
Lilit [14]

Base 10 blocks are used to perform arithmetic operations.

To model the product of 3 and 0.51, Evan needs <em>3 copies of 5 tenths and 1 hundredths.</em>

The expression can be represented as:

\mathbf{3 \times 0.51}

Express 0.51 as 0.5 + 0.01

\mathbf{3 \times 0.51 = 3 \times (0.5 + 0.01)}

  • 0.5 means 5 tenths
  • 0.01 means 1 hundredths
  • 3 means that, the above blocks are needed in three places.

Hence, Evan needs <em>3 copies of 5 tenths and 1 hundredths.</em>

<em />

<em />

Read more about base 10 blocks at:

brainly.com/question/7621712

8 0
3 years ago
Read 2 more answers
What is the solution set of the compound inequality x+1&lt;-2x+11&lt;3x+5
VikaD [51]

Answer:

6/5 < x < 10/3 is the desired solution.

Step-by-step explanation:

Here, the given compound inequality is :

x + 1 < -2 x + 11 < 3 x + 5

Now, consider the first two term of the inequality, we get:

x + 1 < -2 x + 11

Subtracting 1 from both sides, we get:

x + 1  - 1 < -2 x + 11  - 1

or, x < -2x + 10

or, x + 2x < 10

or, 3 x < 10

or, x <  10/3

Similarly, considering the last two terms of the given inequality, we get:

-2 x + 11 < 3 x + 5

Subtracting 11 from both sides, we get:

-2 x + 11  - 11 < 3 x + 5 - 11

or, - 2 x < 3 x-6

or, 6 < 5 x

or, x > 6/5

Hence, combining two solutions, we get:    6/5 < x < 10/3

So, the desired value of x should be more than (6/5) but less than (10/3)

6 0
3 years ago
A factory produces candles at a rate of 1500 per hour. They know that 1.5% of the candles must be rejected for damage.
katen-ka-za [31]

Answer:

225

Step-by-step explanation:

1.5% of 1500 is 225

8 0
4 years ago
Plz help..................
Damm [24]
Just work from left to right identifying the points marked...

{(-3,-2), (-1,1), (1,0), (2,3), (4,-2)}
3 0
3 years ago
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