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serg [7]
3 years ago
11

Identify the area of the kite

Mathematics
2 answers:
12345 [234]3 years ago
8 0

Solution:

<u>It should be noted:</u>

  • The hypotenuse is usually the slanted line in a triangle.
  • Area of a kite = pq/2 (p and q = diagonal)

<u>Finding the missing side length of triangle₁</u>

  • 51² = 24² + x² (x = unknown side length)
  • => 2601 = 576 + x² (x = unknown side length)
  • => 2601 - 576 = x² (x = unknown side length)
  • => 2025 = x² (x = unknown side length)
  • => x = 45 m

<u>Finding the missing side length of triangle₂</u>

  • 30² = 24² + x² (x = missing side length)
  • => 900 = 576 + x² (x = missing side length)
  • => 900 - 576 = x² (x = missing side length)
  • => 324 = x² (x = missing side length)
  • => 18 m = x

<u>Finding the area:</u>

  • Area of a kite = pq/2 (p and q = diagonal)
  • => Area of a kite = (45 + 18)(24 + 24)/2
  • => Area of a kite = (63)(48)/2
  • => Area of a kite = 63 x 24 = 1512 m²
Leya [2.2K]3 years ago
6 0

Answer:

1,944cm

Step-by-step explanation:

the right triangles are 30cm x 24cm divided by 2, but since there are 2 times 2

same thing for big triangles

You might be interested in
The volume V of a cone varies jointly as the area of the base B and the height
seraphim [82]

Answer:

h = 9 cm.

Step-by-step explanation:

V = kBh   where k is the constant of variation.

From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

60 = 1/3 20h

20h = 60 * 3 = 180

h = 180 /20 = 9.

3 0
3 years ago
Solve G(x) for the given domain.<br> G(x) = 3x2 - 2x - 1<br> G(6) =
Elina [12.6K]

Answer:

95

Step-by-step explanation:

G(6)=3(6)^2-2(6)-1

=108-12-1

=95

8 0
3 years ago
My question is 7/8*8/9
Tom [10]
7/8*8/9 = (7*8)/(8*9)
Since we have an 8 both above and below, we can erase it, and so the answer is 7/9
6 0
3 years ago
How can you use the DISTRIBUTIVE PROPERTY solve the equation: 3(x-4) = 24 ? *
guapka [62]

By using the Distributive Property, you would multiply 3 into the parenthesis (3 · x and 3 · -4)

3(x - 4) = 24

3x - 12 = 24

Then, you would solve like any normal one-step equation.

3x - 12 = 24

     +12   +12

__________

3x      36

__  =  __

3        3

x = 12, which is your final solution.

If you need any further explanations, please ask me :)

7 0
3 years ago
Read 2 more answers
Choose the correct simplification of (4x3 + 3x2 − 6x) − (10x3 + 3x2).
Ray Of Light [21]
Answer:
-6x (x + 1)(x - 1)

Explanation:
Before we begin, remember the following:
(-ve) * (-ve) = +ve
(-ve) * (+ve) = -ve
(+ve) * (+ve) = +ve
(+ve) * (-ve) = -ve
a² - b² = (a + b)(a - b)

Now, for the given:
(4x³ + 3x² - 6x) - (10x³ + 3x²)
First, we eill remove the brackets based on the rules mentioned above. This will give us:
4x³ + 3x² - 6x - 10x³ - 3x²
Now, we will combine like terms as follows:
(4-10)x³ + (3-3)x² - 6x
-6x³ - 6x
Taking -6x as a common factor:
-6x (x² - 1)
Factoring the bracket as difference between two squares will give us the final simplest form:
-6x (x + 1)(x - 1)

Hope this helps :)
7 0
4 years ago
Read 2 more answers
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