Find the area of the kite

Find The Area Of The Kite

Answers

Answer 1

Given:

A figure of a kite.

To find:

The area of the given kite.

Solution:

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

[tex]A=\dfrac{d_1d_2}{2}[/tex]             ...(i)

Where, [tex]d_1,d_2[/tex] are two diagonals of the kite.

From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.

[tex]d_1=12+8[/tex]

[tex]d_1=20[/tex]

Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.

Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]13^2=x^2+12^2[/tex]

[tex]169-144=x^2[/tex]

[tex]25=x^2[/tex]

[tex]5=x[/tex]

The length of second diagonal is:

[tex]d_2=2x[/tex]

[tex]d_2=2(5)[/tex]

[tex]d_2=10[/tex]

Substituting [tex]d_1=20,d_2=10[/tex] in (i), we get

[tex]A=\dfrac{20\times 10}{2}[/tex]

[tex]A=\dfrac{200}{2}[/tex]

[tex]A=100[/tex]

Therefore, the area of the kite is 100 square units.


Related Questions

Marco located the falllow points on a number line which point is not corrtly placed on the number line

Answers

Question:

Marco plotted the following points on the number line.

Point A: 0.3 Point B:  3/4 Point C: 11/4 Point D: 0.7

Which point did he plot incorrectly?

Answer:

Point D

Step-by-step explanation:

Given

[tex]Point\ A= 0.3[/tex]

[tex]Point\ B= \frac{3}{4}[/tex]

[tex]Point\ C= \frac{11}{4}[/tex]

[tex]Point\ D= 0.7[/tex]

Required

The incorrectly plotted point

Number plotted on a number line increases from left to right. This implies that:

[tex]A < B < C < D[/tex]

Substitute the values for the given points

[tex]0.3 < \frac{3}{4} < \frac{11}{4} < 0.7[/tex]

Express as fractions

[tex]0.3 < 0.75 < 2.75 < 0.7[/tex]

Up till 2.75, the order of the numbers is correct.

However, 0.7 is less than 0.75 and 2.75

So, 0.7 is not placed correctly.

This implies that point D is not correctly placed

Find the value of the variable. Round your answer to the nearest tenth.
20
x
62°

Answers

Answer: 20 x 62 = 1240. X = 1240

Step-by-step explanation: that is the answer al i did was solv ittt

874 x 12 - 1,000 · 4³ = ? ajutatima pls

Answers

Answer:

-53512

Step-by-step explanation:

874 x 12 - 1,000 · 4³      (We do exponents 1st)

874 x 12 - 1000 x 64      (Multiply 874 with 12, and 1000 with 64)

10488 - 64000

-53512

I need help on a question
.

please help
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
..
.
.
.
ok now that he mods have nothing on me since this is a math question, THERE IS A GUY WHO IS BAITING GIRLS IN TO LOOK AT THEIR.... parts.... IN A ZO.OM MEETING. HE IS MY MOST RECENT FOLLOWING. CONTACT ALL THE MODS YOU CAN​

Answers

im not a mod but answers A

Answer:

The answer is A. 7x-3

Step-by-step explanation:

and what do you mean by "ok now that he mods have nothing on me since this is a math question, THERE IS A GUY WHO IS BAITING GIRLS IN TO LOOK AT THEIR.... parts.... IN A ZO.OM MEETING. HE IS MY MOST RECENT FOLLOWING. CONTACT ALL THE MODS YOU CAN​" ???

The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc

Answers

Answer:

47.14 m²

Step-by-step explanation:

Recall that the central angle of a full circle is 2π radians or 360°.  The area of the sector bounded by a 150° arc is the fraction

150°

------- times the area of the full circle (πr²):

360°

(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²

In the parallelogram below, AC = 18, BD = 30, and BC = 15. What is the length of EC?

Answers

Answer:

30

Step-by-step explanation:

What is the sum of the first 10 terms of the sequence 2, 6, 18,54...?

Answers

Answer:

This is a sequence where you multiply that number 3 times.  For example, 2 x 3 = 6.  6 x 3 = 18.  18 x 3 = 54 and so on.  Therefore, multiplying 3 by the number is the Answer.

Name the polynomial and number of terms.
8x + 4x4 – 3x2 + 8

Answers

Answer:

I also think there is 4 terms

8x and 4x4 and 3x2 and 8

Ellie works in the produce section at a grocery store. The store receives a shipment of green and red apples that weighs 20.4 pounds in total. Ellie separates the green and red apples into bins by color. If red apples make up 1 4 of the shipment by weight, how many pounds of apples are green?

Answers

Answer:

15.3

Step-by-step explanation:

Answer:

15.3

Step-by-step explanation:

help me please i need someone to convert the fraction 9/16 to a finite decimal the first person to answer will get a brainliest person
PLEASE HELP ME.

Answers

Answer: 0.5626

Step-by-step explanation:

just divide 9 by 16

Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?

Answers

Answer:

289feet²

Step-by-step explanation:

Area of a rectangle = length x breadth

area of a square = length²

area of the yard that is not covered by the hot tub and fire pit =

Area of the yard - (area of the hot tub + area of the fire pit)

Area of the yard = 20 feet² = 400 feet²

area of the hot tub =  6 feet² x 8 feet² = 48 feet²

area of the fire pit = 7 feet² x 9 feet² = 63 feet²

400 - (48 + 63) = 289 feet²

the bag of mass is 1.5kg what is the mass of bag in grams

Answers

Answer:

the mass of the bag in grams is 1500

Answer:1500

Step-by-step explanation: Have a good day

What is the height of the cylinder below?

A cylinder with height of 22 inches and diameter of 16 inches.
8 inches
11 inches
16 inches
22 inches

Answers

Answer:

22 inches?

Step-by-step explanation:

Cause the question stated the height is 22 inches ?

Answer:

22 inches

Step-by-step explanation:

Simplify the radical expression.

√20c^6 d^5

Answers

Answer:

the first and second pictures are answer of √5c^6 d^5

the third and fourth pictures are answer of √20c^6 d^5

I hope this helps a little bit .

pls help! right answer = gets brainiest!! :)

Answers

Answer:

x=2, y=1

Step-by-step explanation:

Find the average value of the function y = 2x4 over the interval [- 2,2].

Answers

Answer:

ave. val. = -------------- = 0

Step-by-step explanation:

That's y = 2x^4 (the ^ symbol indicates exponentiation).

The average value of a function f(x) over the interval [a, b] is

                    f(b) - f(a)  

ave. val. = ----------------

                       b - a

Here a = -2, b = 2 and f(x) = 2x^4.  Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and

the average value is:

                  32 - 32

ave. val. = -------------- = 0

                     2 - (-2)

WILL GIVE BRAINLIEST IF GOTTEN RIGHT DONT ANSWER IF YOU DONT KNOW

Answers

Answer:

Option C: I and II

Step-by-step explanation:

When you look at the question, it says that BD and AE is correct.  When looking at the options we have to find which ones include BD and AE.  

A.  "I only"  This is incorrect because "I" is not the only answer with BD and AE.

B.   "III only"  This is also incorrect because "III" doesn't have AE.

C.   "I and II"  This is correct because both "I" and "II" have BD and AE.

D.   "I and III"  This is incorrect because it has only BD.

help me plss
Hurry uppp​

Answers

Answer:

550 inches

Step-by-step explanation:

10*15/2=75

10*5/2=25

15*30=450

75+25+450=550

Find all values of a such that a x^2 + 3x + 5 = 0 has two real roots.

Answers

Answer:

a < 9/20

Step-by-step explanation:

Our equation is the following: ax^2 + 3x + 5

a = unknown

b = 3

c = 5

We are concerned with the discriminant. Namely, b^2 - 4ac must be greater than 0 if we want to real roots

Lets plug in the values:

9 - 4a(5) > 0

9 - 20a > 0

9 > 20a

9/20 > a

a < 9/20

In a quadratic equation given as,

ax² + bx + c = 0

Discriminant of the equation → (b² - 4ac)

For the roots of the equation,

Roots will be real if (b² - 4ac > 0)Roots will be complex if (b² - 4ac < 0)Only one root if b² - 4ac = 0

Given quadratic equation in the question is,

ax² + 3x + 5 = 0

Coefficient of x² = a

Coefficient of x = b = 3

Constant term = c = 5

If the roots of this equation are real,

b² - 4ac > 0

(3)² - 4a(5) > 0

9 - 20a > 0

20a < 9

a < [tex]\frac{9}{20}[/tex]

Therefore, for all values of 'a' less than [tex]\frac{9}{20}[/tex], equation will have two real roots.

Learn more,

https://brainly.com/question/9345928

What is an equation of the line that passes through the points (-4, 2) and
(-8, -3)?

Answers

Answer:

The equation of line 65 and the sum is 80

4.4471336•10^2/2.900996•10^3 in scientific notation

Answers

Answer:

Step-by-step explanation:

I do not know becuase i am not in the grade it looks like

The options are
27.65
55.3
62.35
124.7

Answers

Answer:

Angle BAC = 62.35

Step-by-step explanation:

Here, we want to get the angle marked BAC

From the diagram, we have the angle ABC as 90

This is because angle at the center is twice the angle at the circumference

Furthermore, using the arc angle relationship;

angle ACB is half arc AB

so ACB angle is 55.3/2 = 27.65

mathematically;

Angle BAC + 27.65 + 90 = 180

This is because sum of angles in a triangle is 180

Thus;

angle BAC = 180-90 - 27.65

angle BAC = 62.35

Does anyone know? Thank you!

Answers

4/3 and 6/5 set me as brainlyest plz

Answer:

4/3

if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25

A high jumper starts the bar at 48 inches and raises the bar ½ inch after each jump. How high will the bar be after the seventh jump?

Answers

Answer: 51.5 inches

Step-by-step explanation: The high jumper will be making seven jumps, increasing by 1/2 inch each time. In order to calculate how much it will be moved up from the original position we need to multiply 1/2 x 7 jumps = 3.5 inches. In order to calculate how high the bar will now be, we need to add together the original 48 inch height plus the 3.5 inches that it was been raised, so they total is 51.5 inches high.

A keypad has only the letters A-D what's is the total number of possible outcomes if the code has 3 letters

Answers

Answer:

The total number of possible outcomes if the code has 3 letters is 64

Step-by-step explanation:

The keypad has only the letters A-D, that is, A,B,C,D.

To calculate the total number of possible outcomes if the code has 3 letters,

let these spaces represent the code _ _ _

For the first space, there are 4 possibilities (since we have 4 letters)

For the second space, we also have 4 possibilities (since there is no restriction on repetition)

Also, we have 4 possibilities for the last space.

Hence, the total number of possible outcomes if the code has 3 letters is 4×4×4 = 4³ = 64.

There are 64 total possible outcomes if the code has 3 letters

The number of letters is given as:

n = 4

The code makes use of three letters.

This means that:

The first letter can be any of the 4 lettersThe second letter can be any of the 4 lettersThe third letter can be any of the 4 letters

So, the number of possible outcomes is:

Outcomes = 4 * 4 * 4

Evaluate the product

Outcomes = 64

Hence, there are 64 total possible outcomes if the code has 3 letters

Read more about selection at:

https://brainly.com/question/10837034

The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyramid? 48 cm3 72 cm3 32 cm3 60 cm3​

Answers

Answer:

72cm

Step-by-step explanation:

The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.

It is required to find the volume of the right square pyramid.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We know the formula for finding the volume (V) of a right square pyramid is:

[tex]\rm V= a^2\times\frac{h}{3}[/tex]    Where a is the base side and h is the height of the right square pyramid.

[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]

[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]

And h = 6 cm, putting this value in the above volume formula, wet get:

[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]

Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

Learn more about the pyramid here:

https://brainly.com/question/1260835

help please !!!! (will give brainliest)

Answers

The answer is 18.8

Montana has a temperature of -0.7 so to get to 0 degrees you need to add 0.7. Once you get to zero you need to add 18.1 (Florida’s temperature) and then add 18.1 + 0.7 to get 18.8

The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10 years. What is the standardized score for a tree that is 34 years old?

Answers

Answer: D. -0.6

Step-by-step explanation:

Z score formula= x-mean/ SD

34-40/10= -3/5= -0.6

The standardized score for a tree that is 34 years old is -0.6

We have given that,

The age of trees in a forest is approximately normal with an average age of 40 years and a standard deviation of 10 years.

We have to determine what is the standardized score for a tree that is 34 years old

What is the Z-score formula?

Z score formula= x-mean/ SD

We use the given values in the above formula so we get,

Z score =34-40/10

Z score = -3/5

Z score = -0.6

Therefore, The standardized score for a tree that is 34 years old is -0.6

To learn more about the Z score visit:

https://brainly.com/question/25638875

#SPJ2

The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2

Answers

Answer:

Option (4)

Step-by-step explanation:

Input values are always represented by the x values and output values of a function is represented by f(x).

From the table given,

Values under x column are the input values and values under f(x) or gx) column are the output values.

From both the tables, common output values for the same input value (x = 1) are,

f(1) = 3

g(1) = 3

Therefore, Option (4) is the answer.

The input value that produces the same output value for both functions is: D. x = 1

What is a Function?

A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.

In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).

Thus, [tex]f(1) = g(1) = 3[/tex]

Therefore, the input value that produces the same output value for both functions is: D. x = 1

Learn more about a function on:

https://brainly.com/question/10439235

2.What is the slope-intercept form of a line that contains the points (5, - 5) and has a slope of -3?

3. Write an equation of a line that is parallel to y = - 5/2 x + 3 but travels through the origin? (Note: Parallel lines have the same slope.)

Answers

Answer:

2. y - (-5) = -3 (x - 5)

3. y = -5/2

Step-by-step explanation:

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

2. The points are (5, -5) and the slope is -3. Plug this into y - y₁ = m (x - x₁) to get

y - (-5) = -3 (x - 5)

3. As stated, parallel lines have the same slope, so the slope of the line would be -5/2. The origin is (0, 0), so plug these two numbers in.

y - y₁ = m (x - x₁)

y - 0 = -5/2 (x - 0)

y = -5/2

Other Questions
Dominique is a chemist and has just discovered a new drug that interferes with the Calvin Cycle of photosynthesis. They believe this drug is going to be awesome because it will allow the light reactions to run forever, while just stalling out the Calvin cycle. Terry disagrees, saying that any drug that stalls Calvin will ultimately inhibit the light reactions, too. Who is correct and why A customer suspects that one brand of cereal does not fill its boxes with the weight that is printed on the box. He decides to weigh several boxes to test his theory.Which of these methods will produce the most representative sample of the population of boxes containing this brand of cereal?A). The customer randomly selects one grocery store, weighs one case of the cereal, and uses this weight to estimate the weight per box.B). The customer randomly selects four grocery stores and weighs two boxes from each selected store.C). The customer randomly selects one grocery store and weighs half the boxes of cereal.D). The customer randomly selects one grocery store and weighs all the cereal boxes on one shelf. Read the passage and answer the question.The Son of Heaven [the emperor] mounts his jade carriage drawn by dragon-like horses, on which is displayed the great standard with the likenesses of the sun and moon upon it, along with dragons ascending and descending. In this the emperor goes to worship the sun outside the east gate.From: Book of Etiquette and Ceremonial, probably composed between the eighth and fifth centuries BCE. This book described rules and rituals related to Chinese royalty.This passage could best be used as evidence for the existence of which of following in ancient China?Choose 1 answer:Choose 1 answer:(Choice A)ATechnological advances in transportation(Choice B)BAdvanced astronomical knowledge(Choice C)CThe idea of divine kingship(Choice D, Checked)DCodification of monotheistic religious beliefs Help me ASAP. 50 Points.How is social and domestic policy created and implemented? How involved should govemment be in solving various problems in our country? That is an enduring issue in the United States. For each of the examples, decide whether the hypothetical problem should be solved by (a) government, (b) government and the private sector acting together, or (c) the private sector (business and/or charity). Give your reasons for each. A few ships have crashed near a harbor because it lacks a working lighthouse Americans' health is declining due to poor nutrition. Many high school graduates do not have the skills needed to be successful in the workforce . Sometimes, farmers or ranchers lose an entire crop or herd to bad weather. Such a loss can bankrupt a small farm. An alarming number of people have been injured while using chainsaws Home prices fell sharply in some cities and many homeowners could not afford to pay their mortgages. Fast-food workers complain that their pay-generally the federal minimum wage-is not enough to support their families A business cannot market its products effectively because it does not have current information about the demographics of the community 6(2b+5)=12b30What did Joseph do wrong and whats the correct answer +02=P4O6 balance the equation David is trying to decide if it makes sense to outsource the purchasing function. He has a chain of 12 restaurants and employs two buyers at an annual fixed cost of $85,000. David estimates that the variable cost of each purchase order placed is $15. An outsourced company will perform the purchasing function for a fixed annual fee of $100,000 plus $5 for each purchase order placed. Last year, David placed 1400 purchase orders.Required:a. What was the in-house purchasing cost last year? b. What would the cost be if outsourced? c. If David estimates it will place 1600 purchase orders next year, should he outsourced? which method of communication would be the most appropriate one to use to speak with a teacher about a grade A student is asked to create models of both prokaryotic and eukaryotic cells. They will use materials to represent the cell membrane,cytoplasm, DNA, and other internal cell structures. Which structures will be modeled in BOTH cell types? Select ALL that apply )A) DNAB) nucleusC) ribosomeD) mitochondriaE) Golgi apparatus MastGabi tried to solve an equation step by step.Skill= 8010algeb1j 10 = 80 10 Step 110ne-j = 800Step 2Find Gabi's mistake.ne-Choose 1 answer:cual Can someone tell me this one? Jim had 16 gallons of orange juice. What is the total number of cups of orange juice Jim has? ASAP HELP CERWhat you know about DNA and protein CER.- has to explain the structure and function of DNA and proteins. I have never been to Africa.' - ' ........... have I.' PLEASE HELP!!!! WILL GIVE BRAINLIEST IF COMPLETED AND CORRECT SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT ALSO PLEASE EXPLAIN HOW YOU GOT THE ANSWERS!!!!! Find the value of x. If your son becomes a catholic priest, do you call him son or father Which of these statements is true? Devonte opens a savings account by making a deposit of $249.45. Every week, he deposits another $31.75 in the account. Which expression shows the amount of money that will be in the account w weeks after the account is opened? 249.45 w + 31.75 249.45 w minus 31.75 249.45 + 31.75 w 249.45 minus 31.75 w