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3 years ago

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4 congruent kites and connected an inscribed within a rectangle. The rectangle is 4 inches wide and 8 inches long. A greeting ca

rd uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the area of one kite? 4 sq. in. 8 sq. in. 12 sq. in. 16 sq. in.

2 answers:

AveGali [126]3 years ago

7 0

Given:

A rectangular greeting card uses a geometric design containing 4 congruent kites.

Consider the below figure attached with this question.

Length of card = 8 inches

Width of card = 4 inches

To find:

The area of one kite.

Solution:

The kites are connected to each other as shown below.

The length of a kite is:

$\dfrac{8}{2}=4$ inches

The width of a kite is:

$\dfrac{4}{2}=2$ inches

Area of a kite is:

$A=\dfrac{1}{2}d_1d_2$

Where, $d_1,d_2$ are diagonals of the kite.

Length and width of a kite are 4 inches and 2 inches respectively. So, the diagonals of a kite are 4 inches and 2 inches.

Using the above formula, we get

$A=\dfrac{1}{2}(4)(2)$

$A=4$

The area of a kite is 4 sq. in.

Therefore, the correct option is A.

serg [7]3 years ago

4 0

Answer:

4 sq in or A

Step-by-step explanation:

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3 years ago

Which of the following ordered pairs is not a solution of the system of inequalities? y > x2 – 4x – 5 y < –x2 – 5x + 6 Que

horrorfan [7]

Answer:

a) (x, y) = (1, 7)

Step-by-step explanation:

Let be the following system of inequalties:

$y > x^{2}-4\cdot x -5$

$y < -x^{2}-5\cdot x +6$

We can find the right option by evaluating each option in the system of inequalities:

a) (x, y) = (1, 7)

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$7 < -1^{2}-5\cdot (1) +6$

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$7$ (FALSE)

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$-7 > - 8$ (TRUE)

$-7< 0$ (TRUE)

(1, -7) is a solution of the system of inequalities.

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$-5 > 1^{2}-4\cdot (1) -5$

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$-5 > - 8$ (TRUE)

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4 0

3 years ago

Need help with this. The question is on this image, thanks!

Aleks [24]

Answer: y = 5/8x + 0.5

Step-by-step explanation:

5/8 is the slope if you could 5 up and 8 to the side

slope form is y=mx+b

y = 5/8x + 0.5

<!> Brainliest is appreciated! <!>

5 0

3 years ago