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snow_tiger [21]

3 years ago

15

Exactly 150 years ago, students planted a tree in front of their school. Since then, the tree has grown 33 meters taller and t

he distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.

1 answer:

goblinko [34]3 years ago

7 0

Step-by-step explanation:

There are 2 different unit rates here:

The increase of the tree's height per year
The increase of the tree's trunk per year

Rate of tree's height per year

= 33m / 150 years = 0.22m per year.

Rate of tree's trunk per year

= 3m / 150 years = 0.02m per year.

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To solve this, we are going to use the volume formula for a rectangular prism: $V=lwh$
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$l$ is the length of the prism
$w$ is the width of the prism
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We are also using the volume of a sphere formula: $V= \frac{4}{3} \pi r^{3}$
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Part A: Since she <span>wants a layer of marbles in the bottom of the tank about 5 centimeters deep, the height of this little rectangular prism will be 5 centimeters, so </span> $h=5$ . Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
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We know that the diameter of each marble is 1 cm. Since the radius is of a sphere is half its diameter, $r= \frac{1}{2} =0.5$ . Lets replace that value in our volume formula:
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Answer:

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Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

inequality
solving inequality
PEMDAS

<h3>given:</h3>

5 ≤ - 3x- 3 ≤ 10

<h3>to solve:</h3>

x

<h3>let's solve:</h3>

few notes about inequality

the direction of the inequality doesn't change if you

Add (or subtract) a number from both sides
Multiply (or divide) both sides by a positive number
Simplify a side

the direction of the inequality does change

if you

Multiply (or divide) both sides by a negative number
Swapping left and right hand sides

$step - 1 : difine$

$5 \leqslant - 3x - 3 \leqslant 10$

$step - 2 : \\ add \: 3 \: in \: each \: sides$

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$8 \leqslant - 3x \leqslant 13$

$step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily$

$\therefore - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3}$

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Divide both sides by 27.

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