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andrey2020 [161]

2 years ago

11

Ally is making a scale diagram of her classroom. She uses a scale factor of 3 centimeters per foot to draw the diagram. The actu

al length of the classroom is 18 feet, and its width is 20 feet. What is the area of the scale drawing of the classroom?

1 answer:

Soloha48 [4]2 years ago

6 0

18*3 = 54

20*3 = 60

so the scale drawing would be 54cm x 60cm

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Beth is going to enclose a rectangular area in back of her house. the house wall will form one of the four sides of the fenced i

Alina [70]

The maximum possible area would have a length of 24 feet and width of 12 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the length and y represent the width, hence:

Since beth has 48 ft fencing and cover 3 sides, hence:

x + 2y = 48

x = 48 - 2y (1)

Also:

Area (A) = xy

A = (48 - 2y)y

A = 48y - 2y²

The maximum area is at A' = 0, hence:

A' = 48 - 4y

48 - 4y = 0

y = 12 feet

x = 48 - 2(12) = 24

The maximum possible area would have a length of 24 feet and width of 12 feet.

Find out more on equation at: brainly.com/question/2972832

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7 0

1 year ago

Probability of uncertain event

zubka84 [21]

Answer:

50-50

Step-by-step explanation:

its the universal law

8 0

2 years ago

Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

#LearnwithBrainly

5 0

3 years ago

Solve for the missing variables, I know they add up to 360 but where do i start?

iren2701 [21]

Answer:

Step-by-step explanation:

a°=180°-36°=144° b°=180°-113°=67°

a°=144° and b°=67°

144+67=211

36+113=149

149+211=360

3 0

1 year ago

The winner of a 100 mile race drove his car to victory at a rate of 120.1229 mph. What was his time to the nearest thousandth of

Zigmanuir [339]

Answer:

$t=1.201\ \text{hour}$

Step-by-step explanation:

Given that,

Distance, d = 100 mile

Velocity of the winner, v = 120.1229 mph

We know that velocity of an object is equal to distance per unit time. Let t is the time. So,

$v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{120.1229}{100 }\\\\t=1.201229\ \text{hour}\\\\\text{Round to the nearest thousandth}\\\\t=1.201\ \text{hour}$

Hence, 1.201 hour is taken by the winner.

8 0

2 years ago