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xxMikexx [17]
3 years ago
11

Nina buys a small rug in the shape of a kite. The width of the rug is half its height. What are the width and area of the rug? (

height 31 inches width 9 inches)
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

Width = 20\ in

Area = 400\ in^2

Step-by-step explanation:

Given

See attachment for kite dimension

Required

Determine the width and the area

From the attachment, the height of the kite is:

Height = 31\ in + 9\ in

Height = 40\ in

The width which is half the height is:

Width = \frac{1}{2} * Height

Width = \frac{1}{2} * 40\ in

Width = 20\ in

The area is:

Area = \frac{Height * Width}{2}

Area = \frac{40\ in * 20\ in}{2}

Area = 40\ in * 10\ in

Area = 400\ in^2

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Step-by-step explanation:

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3 years ago
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Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0
3 years ago
Help is very much needed :)
ioda

Answer:

6

Step-by-step explanation:

10/5 ×/3 multiply 10×3 and than divide by 5

or another way start with multiplying 5 and n equaling 5n=

than 10× 3= 30 so you're left with 5n=30 divied 30 by 5 equalling 6

so x=6

3 0
3 years ago
The probability that a visitor to an animal shelter will adopt a dog is .20. out of nine visits, what is the probability that at
lana66690 [7]
This is a binomial probability situation, since a dog either is adopted or is not adopted.  The chances of a dog's being adopted in 0.20.  Here we're speaking of 9 visits.  Thus, n=9, p=0.20.

One way of doing this problem is to calculate the probability that ONE dog will be adopted, and then that that TWO dogs will be adopted, and so on, up to NINE dogs.  Add together these nine probabilities to get your answer.

But a better (faster) approach would be to calculate the probability that ZERO dogs will be adopted, and then to subtract this from 1.000.

Using my TI-84Plus calculator, I figured that P(0 dogs will be adopted) is binompdf(9,0.20,0), or 0.134.  Subtracting this from 1.000, we get 0.866 (answer to this problem).
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3 years ago
Jada has a new puppy that weighs 9 pounds. The vet says that the puppy is now about 20% of its adult weight. What will be the ad
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Answer:29.7

Step-by-step explanation:

30/100

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