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Lina20 [59]
3 years ago
14

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.
Mathematics
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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Juli2301 [7.4K]

Answer:

(10/3, 2/3)

Step-by-step explanation:

You may find it easier to write these two equations x+y=4 2x-y=6 in a column:

x+y=4

2x-y=6

Adding these together will eliminate y:

3x = 10.  Then x = 10/3.

Substituting 10/3 for x in the first equation results in:

10/3 + y = 4

Clear fractions by multiplying all three terms by 3:

10 + 3y = 12

Then 3y = 2, and y = 2/3.

The solution is (10/3, 2/3)

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3 years ago
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irina1246 [14]

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489

Step-by-step explanation:

7 0
3 years ago
Look at the equation 4x - 8.4 = 2x + 5. The terms 4x and 2x are like terms
xz_007 [3.2K]

In form ax + b = c: 2x - 8.4 = 5

Solution to equation: x = 6.7

Step-by-step explanation:

4x - 8.4 = 2x + 5

2x - 8.4 = 5

2x = 13.4

x = 6.7

3 0
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)

7 > 1^{2}-4\cdot (1) -5

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

Then,

7>-8 (TRUE)

7 (FALSE)

(1, 7) is not a solution of the system of inequalities.

b) (x, y) = (1, -7)

-7 > 1^{2}-4\cdot (1) -5

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

Then,

-7 > - 8 (TRUE)

-7< 0 (TRUE)

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

c) (x, y) = (1, -5)

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

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

Then,

-5 > - 8 (TRUE)

-5< 0 (TRUE)

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

d) (x, y) = (-1, 6)

6 > (-1)^{2}-4\cdot (-1) -5

6

Then,

6>0 (TRUE)

6 < 12 (TRUE)

(-1, 6) is a solution of the system of inequalties.

Therefore, we conclude that correct answer is A.

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
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