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guajiro [1.7K]
2 years ago
14

Andrea has a yard shaped like parallelogram ABCD. The garden area, parallelogram EFGB, has an area of 105 ft2004-05-02-04-00_fil

es/i0170000.jpg. If Andrea wants to sod the rest of her yard, how many square feet of sod should she order?
Mathematics
1 answer:
Lynna [10]2 years ago
5 0

The area of a parallelogram is simply calculated using the formula:

A = b * h

Where,

b = length of the base = 45 ft

h = height which is perpendicular to the base = 21 ft

Using the formula, we calculate the total area of the yard.

A = b* h

A = 45 ft * 21 ft

A = 945 ft^2

Now we don’t want to sod the Garden area for the most obvious reason. The garden has an Area of 105 ft^2, we subtract this to the total area giving us,

Area to sod = 945 ft^2 – 105ft^2

<span>Area to sod = 840 ft^2</span>

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0.25 inches represents 1 mile

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Find 1 inch:
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1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles

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Find 3.75 inches:
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1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles

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Find 2.25 inches:
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1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles

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Find Area:
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Area = Length x Width
Area = 15 x 9 
Area = 135 miles²

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Answer: 135 miles²
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6 0
2 years ago
Read 2 more answers
Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?
denis-greek [22]

Answer:

Option A.

Step-by-step explanation:

Clarissa needs a $2,500 loan in order to buy a car.

There are 4 options of loan we will calculate all the options that pay the least amount of interest.

To calculate the interest we will use this formula :

\frac{P\times R\times time}{100}

Where P = Principal amount

R = rate of interest

T = time in years

A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

\frac{2500\times 4.75\times 1.5}{100}

= $178.125

B) Principal 2,500 interest 4% and time 30 months (2.5 years)

\frac{2500\times 4\times 2.5}{100}

= $250

C) Principal 2,500 interest 4.25% and time 24 months (2 years)

\frac{2500\times 4.25\times 2}{100}

= $212.50

D) Principal 2,500 interest 4.50% and time 36 months (3 years)

\frac{2500\times 4.5\times 3}{100}

= $337.50

The least amount of interest would be in option A.

5 0
2 years ago
Santa Claus is assigning elves to work a shift making toy trucks. Apprentice elves draw a wage of forty candy canes per shift, b
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Answer:

link:brainly.com/question/14962828

Step-by-step explanation:

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2 years ago
Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per
hichkok12 [17]

Answer:

The confidence interval is (0.81, 0.87).

Step-by-step explanation:

There's 90% confidence that population proportion is within the interval obtained from the following formula:

\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}*(1-\hat{p})}{n}}

Knowing that the sample size, n=525 we obtain the proportion of people from the sample who leave one space after a period as \hat{p}=\frac{440}{525}=0.8381\approx 0.84.

We then look for the critical value:

z_{\alpha/2}=1.645

Now we can replace in the formula to obtain the confidence interval:

0.84\pm 1.645\sqrt{\frac{0.84*(1-0.84)}{525}}= (0.8137; 0.8663)

Therefore we can say that there's 90% probability that the population proportion of people who leave one space after a period lies between the values (0.8137; 0.8663).

3 0
1 year ago
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Gerry has 50 sports trading cards. Of those cards one fifth of them are baseball cards, one teenth of them are football cards, a
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Answer: Gerry has 25 more basketball cards than baseball cards.

Step-by-step explanation:

The total number of sports trading cards that Gerry has is 50.

Of those cards one fifth of them are baseball cards. It means that the number of baseball cards that he has is

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one tenth of them are football cards. It means that the number of football cards that he has is

1/10 × 50 = 5

The rest are basketball cards. It means that the number of basketball cards that he has is

50 - (10 + 5) = 35 basketball cards

The difference between the number of basketball and baseball cards that he has is

35 - 10 = 25

8 0
1 year ago
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