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3 years ago

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A tree measured 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a height of 57 feet. During the 7 1/2 years, what was th

e average yearly growth rate of the height of the tree?

1 answer:

Elenna [48]3 years ago

3 0

The average yearly growth rate of the height of the tree was 2.2 feet per year during the 7 1/2 years.

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The Wagner family uses up a 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?

luda_lava [24]

Answer:

$\frac{1}{6}$ gallon per day

Step-by-step explanation:

Rate = gallons per day

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look when you are trying to find the percent of a number you need to turn the percent into a decimal then multiply the decimal by the number:

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What is the area of the rectangle?

den301095 [7]

Answer:

$50\ units^{2}$

Step-by-step explanation:

Plot the figure to better understand the problem

see the attached figure

we know that

If the figure is a rectangle

then

$AB=CD \\AD=BC$

The area of the rectangle is equal to

$A=B*h$

where

B is the base

h is the height

the base B is equal to the distance AB

the height h is equal to the distance AD

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-5,5)\\B(0,-5)$

substitute the values

$d=\sqrt{(-5-5)^{2}+(0+5)^{2}}\\d=\sqrt{(-10)^{2}+(5)^{2}}\\dAB=\sqrt{125}\ units$

Step 2

Find the distance AD

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-5,5)\\D(-1,7)$

substitute the values

$d=\sqrt{(7-5)^{2}+(-1+5)^{2}}\\d=\sqrt{(2)^{2}+(4)^{2}}\\dAD=\sqrt{20}\ units$

Step 3

Find the area of the rectangle

$A=AB*AD$

we have

$dAB=\sqrt{125}\ units\\dAD=\sqrt{20}\ units$

substitute

$A=\sqrt{125}*\sqrt{20}\\A=\sqrt{2,500}\\A=50\ units^{2}$

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