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3 years ago

14

Which measurement is most accurate to describe the width of a penny?

1 answer:

klasskru [66]3 years ago

8 0

Answer:

19 mm

Step-by-step explanation:

A penny is not that large, and you can fit multiple pennies in the palm of your hand. This means that the only reasonable measurement is 19 mm, (& 8 cm, but that is only if you have really large hands). Therefore, (A) is your choice.

~

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A lunch menu consists of:

olasank [31]

Answer:

14

Step-by-step explanation:

4+4=8 8+6=14 all u had to do is add

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2 years ago

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A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer

Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

$L_A \to$ length of play area A

$W_A \to$ width of play area A

$L_B \to$ length of play area B

$W_B \to$ width of play area B

$x \to$ Area of A

$y \to$ Area of B

From the question, we have the following:

$L_A = 1 + 4W_A$

$W_B = 2 + W_A$

$L_B = 2 + 3W_B$

$x = y$

The area of A is:

$x = L_A * W_A$

This gives:

$x = (1 + 4W_A) * W_A$

Open bracket

$x = W_A + 4W_A^2$

The area of B is:

$y = L_B * W_B$

$y = (2 + 3W_B) * ( 2 + W_A)$

Substitute: $W_B = 2 + W_A$

$y = (2 + 3(2 + W_A)) * ( 2 + W_A)$

Open brackets

$y = (2 + 6 + 3W_A) * ( 2 + W_A)$

$y = (8 + 3W_A) * ( 2 + W_A)$

Expand

$y = 16 + 8W_A + 6W_A + 3W_A^2$

$y = 16 + 14W_A + 3W_A^2$

We have that:

$x = y$

This gives:

$W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2$

Collect like terms

$4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0$

$W_A^2 -13W_A - 16 =0$

Using quadratic calculator, we have:

$W_A = -14.1$ or $W = 1.13$ --- approximated

But the width can not be negative; So:

$W = 1.19$

7 0

2 years ago

What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches

Anni [7]

Answer:

The answer is

<h2>36π cubic inches</h2>

Step-by-step explanation:

Volume of a sphere is given by

<h3> $V = \frac{4}{3} \pi {r}^{3}$ </h3>

where r is the radius

From the question

r = 3 inches

Substitute the value into the above formula and solve for the volume

That's

<h3> $V = \frac{4}{3}( {3})^{3} \pi \\ = \frac{4}{3} \times 27\pi \\ = 4 \times 9\pi$ </h3>

We have the final answer as

<h3>36π cubic inches</h3>

Hope this helps you

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2 years ago

Let [n] represent the greatest even integer less than n that divides n, for any positive integer n. For example, [24] = 12. What

ipn [44]

First you write down all even integers that divide 20.

Those are: 2,4,10,20

Since the request is that integer is less than n, 20 cannot be the answer.
This means that greatest even integer is 10

Answer is 10.

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3 years ago

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Tema [17]

Factoring may be the easiest one

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3 years ago

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