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xxMikexx [17]
1 year ago
9

HELP PLEASE What is the area of the kite below?

Mathematics
2 answers:
LekaFEV [45]1 year ago
8 0

Answer: A = 33 in²

Step-by-step explanation:

<u>Given information:</u>

Longer side = 7 in

Shorter side = 4 in

Shorter Hypotenuse = 5 in

<u>Given formula:</u>

A = (1/2) × (d₁) × (d₂)

  • A = area
  • d₁ = The longer line (horizontal)
  • d₂ = The shorter line (vertical)

Please refer to the attachment below for a graphical understanding

<u>Determine the length of the shorter side (vertical) through the Pythagorean theorem</u>

a² + b² = c² <em>(Pythagorean theorem)</em>

(4)² + b² = (5)² <em>(Substitute values into the equation)</em>

16 + b² = 25

b² = 25 - 16

b² = 9

b = 3  or b = -3 (rej)

<u>Substitute values into the given formula</u>

A = (1/2) × d₁ × d₂

A = (1/2) × (7 + 4) × (3 + 3)

<u>Simplify values in the parenthesis</u>

A = (1/2) × 11 × 6

<u>Simplify by multiplication</u>

A = (11/2) × 6

\Large\boxed{A=33}

Hope this helps!! :)

Please let me know if you have any questions

Kryger [21]1 year ago
6 0

Answer:

Area = 33 inches squared

Step-by-step explanation:

The formula for the area of a kite is:

Area = ½ × (d)1 × (d)2

To find the first diagonal (d1):

d1 = 7 in + 4 in = 11 in

To find the second diagonal (d2):

The triangles on the right of the kite must be 3 4 5 triangle since it is a right triangle with a hypotenuse of 5 and a side of 4, we know half of a diagonal would be 3 inches.

d2 = 3 in + 3 in = 6 in

Now we can plug the diagonals into the area formula.

Area = ½ × 11 × 6 = 33 inches squared

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Keira used yards of fabric to make a quilt. After making the quilt, she had yards of the fabric left.
a_sh-v [17]

Answer: B 11

Step-by-step explanation:

x- 23/3= 10/3

23/3+10/3= 33/3

33/3= 11

Hope this helps!!

3 0
3 years ago
I need help with finding x. Can someone help me please?
11Alexandr11 [23.1K]

Answer:

x=25

Step-by-step explanation:

these angles are of the same measure, so i set the two values equal to eachother. it looks like

75=(4x-25)

and solve for x

I HOPE THIS IS RIGHT!! have a great day

3 0
2 years ago
What is the solution?
Leona [35]

Answer:

1200c^3

Step-by-step explanation:

cut the shape it to half with a square and a prism and calculate them separately then add the volume!

Hope this helps! ;-)

3 0
2 years ago
Please help!
Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

              2                   10

              4                  20

              6                  30

              8                  40

Compute the  rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5

The  rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST Which of the following scale factors will result in an enlargement? A. k &lt; –1 B. –1 &lt; k &
Sergio [31]

Answer: OPTION A.

Step-by-step explanation:

By definition, a dilation can be an enlargement or a reduction of the shape.

An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.

When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.

It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.

Knowing this, we can say that the scale factor that will result in an enlargement is:

k

5 0
2 years ago
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