How do I find the area of this kite?

How Do I Find The Area Of This Kite?

Answers

Answer 1

Answer:

85 square units

Step-by-step explanation:

The area of a kite is half of the product of the diagonals.

The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.

Now we need to find the length of the vertical diagonal.

The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.

Upper vertical segment:

a^2 + b^2 = c^2

5^2 + x^2 = [5sqrt(2)]^2

25 + x^2 = 50

x^2 = 25

x = 5

The upper segment of the vertical diagonal has length 5.

Lower vertical segment:

a^2 + b^2 = c^2

5^2 + x^2 = 13^2

25 + x^2 = 169

x^2 = 144

x = 12

The lower segment of the vertical diagonal has length 12.

The length of the vertical diagonal is the sum of the lengths of the two vertical segments:

5 + 12 = 17

The diagonals of the kite measure 1`0 and 17.

area = d1 * d2/2

area = 10 * 17/2 = 170/2 = 85


Related Questions

Justin Lowery is buying a condominium that sells for $ 120 comma 000. The bank is requiring a minimum down payment of 10​%. To obtain a​ 20-year mortgage at 8.5​% ​interest, Justin must pay 1 ​point(s) at the time of closing. What is the cost of the 1 ​point(s) on the​ mortgage?

Answers

Answer:

$10.25

Step-by-step explanation:

95/.1=9.5

9.5*9=85.5

85.5/8

=10.25

If angle ABC measures 40 degrees, what does angle ADC measure

Answers

Answer:

what shape is ABCD?

Answer:

Step-by-step explanation: 60%

write down in terms of n, an expression for the nth term of the following sequences 2 5 8 11 14

Answers

Answer:

[tex]a_{n}[/tex] = 3n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

[tex]a_{n}[/tex] = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

The expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

Given that,

Sequence; 2, 5, 8, 11, 14.

We have to find, the expression in terms of n for the nth term of the following given sequences?

According to the question,

The nth of the arithmetic sequence is,

[tex]\rm a_n = a+ d(n-1)[/tex]

Where a is the first term of the sequence,

d is the common difference between the terms,

n is the number of terms.

Then,

The given sequence is 2, 5, 8, 11, 14.

Here, the common difference between the terms is 3.

And the first term of the sequence is 2.

Substitute all the values in the formula,

Therefore,

The nth term of the given terms is,

[tex]\rm a_n = a+ d(n-1)\\\\a_n = 2+ 3(n-1)\\\\a_n + 2+3n-1\\\\a_n = 3n-1[/tex]

Hence, The required expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

For more details refer to the link given below.

https://brainly.com/question/17043393

Expand and simplify . 7x(5y-8)+3y(12x+9) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST​

Answers

[tex]answer \\ 71xy - 56x + 27y \\ solution \\ 7x(5y - 8) + 3y(12x + 9) \\ = 35xy - 56x + 36xy + 27y \\ combine \: like \: terms \\ = 35xy + 36xy - 56x + 27y \\ = 71xy - 56x + 27y \\ hope \: it \: helps[/tex]

Answer:

[tex] = 71xy - 56x + 27 \\ [/tex]

Step-by-step explanation:

[tex]7x(5y - 8 )+ 3y(12x + 9) \\ 35xy - 56x + 36xy + 27 \\ 35xy + 36xy - 56x + 27 \\ = 71xy - 56x + 27[/tex]

hope this helps

Five times one number minus two times a second number is 11. Three times the first number minus two times the second number is 1. what are the numbers?

Answers

Answer:

first number is 5

second number is 7

Step-by-step explanation:

let x and y represent the first and second number

5x - 2y = 11 ........ equation 1

3x - 2y = 11.......... equation 2

so by elimination, equation 1 minus equation 2

5x - 3x - 2y - 2y = 11 - 1

2x = 10

x = 5

therefore the first number is 5

put x = 5 into equation 1

5x - 2y = 11

5(5) - 2y = 11

25 - 2y = 11

-2y = 11 - 25

-2y = - 14

y = 7

therefore the second number is 7

hope it helps .

ill mark you brainiest , please help!!!

a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?

Answers

Step-by-step explanation:

50cm/40m = 0.5m/40m = 0.0125 = 1/80

A 200 pound person weighs 33 pounds on the moon.​ Type the answers in the boxes below. 1. How much did the person's weight decrease?By what percentage did the person's weight decrease? Round the answer to the nearest percent.

Answers

Answer:

83.5%

Step-by-step explanation:

200-33= 167

167/200=x/100

167/2= 83.5

about 83.5%

Plss brainliest

The total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

What is percentage decrease?

Percentage decrease is the value which is deducted or reduced from the initial value in the percentage part.

The weight of the person is 200 pound. The person's weighs on the  moon is 33.​

The person's weight decrease-

The change in the weight of the person is the difference of weight of the person and weight of the person on moon. Thus the change in weight of the person is,

[tex]\Delta W=200-33\\\Delta W=167[/tex]

The percentage did the person's weight decrease-

The change in person's weight is 167 pounds and the original weight of the person is 200 pounds. Thus the percentage change is,

[tex]\Delta W=\dfrac{167}{200}\times100\\\Delta W=83.5\%\\\Delta W\approx84\%[/tex]

Thus, the total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

Learn more about the percentage decrease here;

https://brainly.com/question/11360390

5.Sebuah kapal selam berada 420.5 m di bawah aras laut. Kapal selam itu menyelam sedalam 185.6 m dan kemudian menaik 200.9 m. Tentukan kedudukan baharu kapal selam itu berpandukan aras laut.​

Answers

Translation:
5. A submarine is 420.5 m below sea level. The submarine dived 185.6 m deep and then climbed 200.9 m. Determine the new position of the submarine based on sea level.

2x - 15
x+9
For what value of x would the expression be undefined

Answers

Answer:

Undefined when x = -9

Step-by-step explanation:

(2x-15)/ (x+9)

This would be undefined when the denominator is 0

x+9 =0

x = -9

19 POINTS evaluate the expression 2n, if n = 4
ANWSER:
o 8
o 6
o 24
o 2

Answers

Answer:

8

Step-by-step explanation:

2n

Let n =4

2*4

8

Answer:

8

Step-by-step explanation:

= 2 * 4 (we know that n = 4)

= 8

Hope this helps!

The table represents a linear function.What is the slope of the function?
The graph is X, -2,-1,0,1,2 and Y, -2,1,4,7,10

Answers

Answer:

the slope is 4/3

Step-by-step explanation:

use the formula:

m=[tex]\frac{y1-y2}{x1-x2}[/tex]

where x1 and y1 can be any point and x2 and y2 can be any point.

I used the last relation as my x1,y1 and second last relation as my x2,y2 because it is easier to subtract them.

[tex]\frac{10-2}{7-1}[/tex] which is 8/6 or 4/3

Answer:

3

Step-by-step explanation:

I took the test.

1. An arch in the shape of a semicircle is to be set up at the entrance of a festival.
The distance around the arch is about 110 feet. What is the height of the arch, in
feet? Round your answer to the nearest whole number.​

Answers

Answer:

35 ft

Step-by-step explanation:

The arch is in the shape of a semicircle.

The distance around the arch is about 110 feet. This is the same as the circumference of the arch.

The height of the arch is the radius of the arch.

The circumference of a semicircle is given as:

[tex]C = \pi r[/tex]

where r = radius

Therefore:

110 = πr

=> r = 110/π

r = 35.01 ft ≅ 35 ft

The height of the arch is 35 ft

The height of the arch in feet is 35 ft.

Calculation of the height:

Since The distance around the arch is about 110 feet.

We know that

The circumference of a semicircle should be

110 = πr

[tex]r = 110/\pi[/tex]

r = 35.01 ft

≅ 35 ft

hence, we can conclude that The height of the arch in feet is 35 ft.

Learn more about height here: https://brainly.com/question/4089721

Simplify the expression by combining like terms.
22+5−4+7−8

Answers

Answer: 22

Step-by-step explanation:

22+5= 27

27-4=23

23+7=30

30-8=22

Answer:

22+m+ 7n - 8

Step-by-step explanation:

22+5m-4m+7n-8

22+m+ 7n - 8

you subract 4m from 5m because there are like terms

none of the others are like terms so you cant add or subract them

P= $450 r=6% t= 3 what is I ?

Answers

Answer:

535.96 (rounded up)

Step-by-step explanation:

Y= a ( 1 + r )^t

Which of the following is equal to the fraction below?

Answers

Answer:

D

Step-by-step explanation:

(5/9)^8

You distribute the exponent 8 to both the 5 and the 9, so D is just 1 step more simplified.

Answer:  The correct option is (D) {5^8}{9^}.

hope this helps. ;)

Given that Triangle ABC such that
a=8cm, b=7cm and c=9cm
tem and c= 9cm find Cos B​

Answers

Answer:

We use cosine rule also called cosine law which states

c^2=a^2+b^2-2abcosC

given

a=8cm, b=7cm, c=9cm cos C?

9^2=8^+7^2-2*8*7 cos C

expand

81=64+49-112 cos C

like terms together

81-113=-112 cos C

-32=-112cos C

multiply both sides by -1

32=112cos C

divide both sides by 112

32/112=cos C

cosC=0.2857

find cos inverse of 0.2857

angle C= 73.40

What is: 6x^2-4x-10?

Answers

[tex]answer \\ (3x - 5)(2x + 2) \\ solution \\ {6x}^{2} - 4x - 10 \\ = {6x}^{2} - (10 - 6)x - 10 \\ = {6x}^{2} - 10x + 6x - 10 \\ = 2x(3x - 5) + 2(3x - 5) \\ = (3x - 5)(2x + 2) \\ hope \: it \: helps[/tex]

Answer:

x = 1⅔ or -1

Step-by-step explanation:

6x² -4x - 10

a=6, b=-4, c=-10, ac= -60

factors -10 & 6

6x² + 6x - 10x -10 =0

(6x² + 6x) - (10x - 10) =0

6x(x +1) - 10(x+1) =0

(6x-10)(x+1)=0

6x-10=0 or. x+1=0

6x= 10 or x= -1

x= 10/6 or. x= -1

x=1⅔ or x= -1

HELP ME OUT! A student dissolves 1 gram of sugar in 10 grams of water. She then determines the mass of the solution. What is the mass of the dissolved sugar and water?

Answers

Answer:

The mass of the dissolved sugar and water is 11 g.

Step-by-step explanation:

When a substance is dissolved in another, they are mixed together forming a new one, therefore the new substance's mass must be the same as the sum of the individual mass of each substance mixed, because there are no leaks. In this case, there are two substances being mixed, the water which have a mass of 10 grams and the sugar which have a mass of 1 gram, therefore the final solution's mass must be equal to 11 g.

The list price of an item is $ 93.45. The supplier is offering a series trade discount of 7/23. Find the net cost.

Answers

Answer: $66.92

Step-by-step explanation:

We can get the final price by calculating the first discount and then subtracting this from the original price to get the amount to which the second discount is applied. We can then determine the final price by subtracting the second discount from the intermediate price.The percent of the first discount is 7.

The price after the first discount is $93.45−($93.45×0.07)=$86.91.

The price to which the second discount is applied is $86.91.

The second discount is 23%

86.91 x 0.23 = $19.99

The final price is (86.91 - 19.99) = 66.92

a graph using y=mx+b

Answers

Answer:

A graph using y=mx+b would include a positive or negative line (slope) and a y-intercept. If there is a y-intercept between 1 & infinity then the line will not start on the origin. y=mx+b doesnt have to include a y-intercept though. It can include a y-intecept of 0. This would mean that the line would start on the origin. y=mx+b will ALWAYS be a straight line.

Step-by-step explanation:

Hope this helps :)

Can you explain the example 4 pls

Answers

Answer:

x = -3/4

Step-by-step explanation:

15/4 - 7x = 9

When solving these types of equations, you want to isolate the variable

Subtract 15/4 from both sides to get

-7x = 21/4

Divide both sides by -7 to get

x = -3/4

Answer:

x = -3/4

Step-by-step explanation:

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

(x-5)

Step-by-step explanation:

x^2 -25

We know this is the difference of square

(x-5)(x+5)

Since the length is (x+5)  the width must be (x-5)

Given:

Area = x² - 25

Length = x + 5

To be calculated:

Calculate the width of rectangle?

Formula used:

Area of Rectangle = L × b

Solution:

We know,

Area of Rectangle = L × b

⇒ x² - 25 = x + 5 × b

⇒ b = x² - 25 / x + 5

⇒ b = x² - 5² / x + 5

⇒ b = ( x + 5 ) ( x - 5 ) / x + 5

⇒ b = x - 5

The perimeter of a room is 43 ft. The width is 9 1 2ft. What is the length?

Answers

[tex]answer = 12 \: ft \\ solution \\ perimeter = 43 ft\\ breadth = 9 \times \frac{1}{2} = \frac{19}{2 } = 9.5 \: ft\\ now \\ perimeter \: of \: \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43= 2(l + 9.5) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43 = 2l + 19 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = 19 - 43 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = - 24 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: l = \frac{ - 24}{ - 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = 12 \: ft \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

[tex]length = 12ft[/tex]

Step-by-step explanation:

Given that,

[tex]width =9 \frac{1}{2} = 9.5[/tex]

Let's find the length

[tex]perimeter \\43 = 2(l + w) \\ 43= 2(l + 9.5) \\ 43 = 2l + 19 \\ 43 - 19 = 2l \\ 24 = 2l \\ \frac{24}{2} = \frac{2l}{2} \\ l = 12[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Solve the equation.

y + 6 = –3y + 26

Answers

Answer: y=5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

y+6=-3y+26

Taking like terms to both side, y+3y=26-6

4y=20(Dividing both sides by 4)

y=5

Factorize the following expression ab-a-b+1

Answers

Group 'em together

a b − a + 1 − b

a b − a = a ( b − 1 )

Notice that there will be a 1 as without it it'll simply be  ab

1 − b = 1 ( 1 − b )

Notice that it doesn't match with the upper one... so we'll change the signs

1 ( 1 − b ) = − 1 ( b− 1 )

(try to multiply them now!!

Jot them down in one expression

a ( b − 1 ) − 1 ( b − 1 )

You get!!!!!!

( a − 1 ) ( b − 1 )

AEFG is located at E (0,0), F (-7, 4), and G (0,8). Which statement correctly classifies AEFG?
AEFG is a scalene triangle.
AEFG is an isosceles triangle.
AEFG is an equilateral triangle.
AEFG is a right triangle.

Answers

Answer:

ΔEFG is an isosceles triangle

Step-by-step explanation:

Extra point hereWhich metric unit would be best to measure the diameter of a pencil?

Answers

Answer:

The millimeter.

Step-by-step explanation:

The best choice here is the millimeter (mm).

write 10 examples of cuboid in our daily life

Answers

Answer:

Ten examples of cuboids in our daily lives are:

1.Shoeboxes

2.Bricks

3.Matchbox

4.Books

5.Mattresses

6. Juice box

8. Fridge

9.Bathroom cubicle

10.Cabinet

Step-by-step explanation:

I really hope this helps

how does the graph y=-6x^2 -4 different from y=-6^2

Answers

Answer: [tex]y=-6x^2[/tex] never touches the y-axis

[tex]y=-6x^2-4[/tex] touches the y-axis at -4

Step-by-step explanation:

Because -4 means that the graph touches the y-axis at negative 4, not having it means that it never touches the y-axis

Which trinomial did she factor?
x2 + 4x – 12
x2 + 2x - 6
x2 - 8x - 6
x2 - 4x - 12

Answers

Answer:

Answer is (D)    x2 – 4x – 12

Step-by-step explanation:

edge 2020 test

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