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Aleks [24]
4 years ago
13

. Karen is building a model of the Lincoln Memorial for her History class. She found online that the building measures 204 feet

long, 134 feet wide and 99 feet tall. She wants her model to be 1/100 of the original. What will the area of her base be rounded to the nearest foot?
Mathematics
2 answers:
quester [9]4 years ago
7 0

Answer:

  3 ft²

Step-by-step explanation:

Karen's model will be 204 ft × 1/100 = 2.04 ft long and 134 ft × 1/100 = 1.34 ft wide. The area of the base of this model is the product of these lengths:

  area = (2.04 ft)×(1.34 ft) = 2.7336 ft² ≈ 3 ft²

nignag [31]4 years ago
3 0

Answer:

3 square feet

Step-by-step explanation:

The area of the base can be calculated as

A_{base}=\text{width}\cdot \text{length}.

The building measures 204 feet long and 134 feet wide. Since the model has to be 1/100 of the original, then the width is 204\cdot \dfrac{1}{100}=2.04 ft and the length is 134\cdot \dfrac{1}{100}=1.34 ft.

Thus, the area of her base is

A_{base}=2.04\cdot 1.34=2.7336\approx 3\ ft^2.

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
What are the zeroes of f(x) = x2 − x − 2?
spin [16.1K]
Hello :
x²-x-2 = (x+1)(x-2)
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4 years ago
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Pls help solve question 3
Lelu [443]

Answer:

If m is the midpoint of ab it means am is equal to mb

am = 3x + 8 and mb = 6x-4

and ab  = am + mb

first find the value of x by using am = mb

3x + 8 = 6x - 4

8 + 4 = 6x - 3x

12 = 3x

x = 4

ab = 3 (4) + 8

= 12 + 8 = 20 = mb

ab = am + mb

= 20 + 20

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so, the value of ab is 40

4 0
3 years ago
Substitute (2, 1) into x + 3y = 5 to get ✔ 2 + 3(1) = 5 . Simplify the equation to get . Substitute (2, 1) into y = –x + 3 to ge
nikdorinn [45]

Answer:

See explanation

Step-by-step explanation:

A

x + 3y = 5

(x, y) = (2,1)

x + 3y = 5

2 + 3(1) = 5

2 + 3 = 5

5 = 5

The equation is true

B.

y = –x + 3

(x, y) = (2, 1)

y = –x + 3

1 = -2 + 3

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6 0
3 years ago
The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. if 4 fish
Alexus [3.1K]

Since the sample standard deviation is now known, we use the z-score test. The formula is given as:

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Where,

X = sample mean = 8.6 lb to 14.6 lb

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s = population standard deviation = 6

n = sample size = 4

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z = (8.6 – 11) / (6 / sqrt4)

z = - 0.8

Using the standard distribution table for z:

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2nd: Calculating for z when x = 14.6 lb

z = (14.6 – 11) / (6 / sqrt4)

z = 1.2

Using the standard distribution table for z:

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Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

Probability (8.6 ≤ x <span>≤ 14.6 ) = 0.673                         (ANSWER)</span>

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