Find the area of the quadrilateral QRST by using the formula for the area of a kite. HELP PLEASE!!!!

A. 15 units^2
B. 10 units ^2
C. 16 units ^2
D. 5 units ^2

Find The Area Of The Quadrilateral QRST By Using The Formula For The Area Of A Kite. HELP PLEASE!!!!A.

Answers

Answer 1

ANSWER

A. 15 units^2

EXPLANATION

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

The first diagonal has vertices at,

T(0,0) and R(5,5).

The length of this diagonal is

[tex]TR = \sqrt{ {5}^{2} + {5}^{2} } [/tex]

[tex]TR = \sqrt{25 + 25} [/tex]

[tex]TR = \sqrt{50} =5 \sqrt{2} [/tex]

The other diagonal has vertices at;

Q(0,3) and S(3,0).

The length of this diagonal is

[tex]QS = \sqrt{ {3}^{2} + {3}^{2} } [/tex]

[tex]QS = \sqrt{ 9+ 9 } [/tex]

[tex]QS = \sqrt{18} = 3 \sqrt{2} [/tex]

The area of the kite is

[tex] = \frac{1}{2} \times 3 \sqrt{2} \times 5 \sqrt{2} [/tex]

[tex] = 15 \: {units}^{2} [/tex]


Related Questions

Miguel has a piece of string that is 3 m 25cm long he cut a piece off and used it to tie Around his sleeping bag now his oringinol piece is only 1 m 46 cm long how long is the piece of string Miguel cut off

Answers

Answer:

1 m 79 cm

Step-by-step explanation:

Subtract 1.46 m from 3.25 cm:  1.79 cm, or 1 m 79 cm

Which table represents exponential growth?

Answers

Answer:

B

Step-by-step explanation:

The exponential function [tex]y=a^x[/tex] shows the exponential growth if [tex]a>1.[/tex]

Consider choice B.

If x=1, then [tex]y=2=2^1;[/tex]

if x=2, then [tex]y=4=2^2;[/tex]

if x=3, then [tex]y=8=2^3;[/tex]

if x=4, then [tex]y=16=2^4.[/tex]

This means that the function [tex]y=2^x[/tex] represents the table B.

ANSWER

See attachment

EXPLANATION

The table that represent a geometric sequence is the one shown in the attachment with y-values

[tex]2,4,8,16,...[/tex]

We can see that, the subsequent term is obtained by multiplying the previous term by 2.

In other words, there is a bit ratio of 2.

Here the table represents a geometric sequence.

the plot line shows the number of miles the individual members in a group of runners run each day

How many runners run at most 2 miles per day?

Answers

The number of runners run at most 2 miles per day is 13.

The calculation is as follows;

2 miles = 6

3 miles = 4

4 miles = 2

5 miles = 1

Now if we add this,

So,

= 6 + 4 + 2 + 1

= 13

Learn more: brainly.com/question/17429689

Answer:

13

Step-by-step explanation:

Its easy, but its a trick question into getting you to click 6

A function is graphed on the coordinate plane.

what is the value of the function when x = 4

Answers

Answer:

1

Step-by-step explanation:

y = mx + b

y = 1/2 x - 1

y = 1/2 (4) - 1

y = 2 - 1

y = 1

When x = 4, the function y = (1/2)x - 1 evaluates to y = 1. This linear equation has a slope of 1/2 and a y-intercept of -1.

To find the value of the function y = (1/2)x - 1 when x = 4, you simply need to substitute x = 4 into the equation and solve for y:

y = (1/2)(4) - 1

y = 2 - 1

y = 1

So, when x = 4, the value of the function y is 1.

In a more general sense, this equation represents a linear function with a slope of 1/2 and a y-intercept of -1. The slope (1/2) represents the rate of change, meaning that for every unit increase in x, y increases by 1/2. The y-intercept (-1) is the value of y when x is 0.

When x = 4, as calculated above, y is 1. This means that if you were to plot this function on a coordinate plane, the point (4, 1) would lie on the graph.

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Of all the baseball caps in a store. 2/3 of the caps are blue. Of all the blue baseball caps. 4/7 are on sale. What fraction of the baseball caps in the store are blue and on sale

Answers

19/50 of the baseball caps in the store are blue and on sale.

Let's say there are a total of 100 baseball caps in the store. Then, 2/3 of them are blue, which is:

2/3 x 100 = 66.67 (approximately 67)

So, there are approximately 67 blue baseball caps in the store. Out of these, 4/7 are on sale, which is:

4/7 x 67 = 38 (rounded to the nearest whole number)

Therefore, there are approximately 38 blue baseball caps that are on sale in the store.

The fraction of baseball caps in the store that are blue and on sale is:

38/100 = 19/50

So, 19/50 of the baseball caps in the store are blue and on sale.

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Final answer:

To find the fraction of baseball caps in the store that are blue and on sale, multiply the fractions representing the proportion of blue caps and the proportion of blue caps that are on sale.

Explanation:

To find the fraction of baseball caps in the store that are blue and on sale, we need to multiply the fractions representing the proportion of blue caps and the proportion of blue caps that are on sale.

Given that 2/3 of the caps are blue and 4/7 of the blue caps are on sale, we can calculate the fraction of blue caps that are on sale by multiplying 2/3 and 4/7:

2/3 * 4/7 = 8/21

Therefore, 8/21 of the baseball caps in the store are blue and on sale.

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PLEASE HELP!!!
9/10 divided by (-3/5)
Write the answer as a mixed number

Answers

[tex]

\frac{\frac{9}{10}}{\frac{-3}{5}}=\frac{45}{-30}=-\frac{9}{6}=\boxed{\frac{3}{2}}

[/tex]

Hope this helps.

r3t40

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

If f(x) = -3x^4 - 2x^3 + 3x^2, and g(x) = 3x^4 - 4x^3 + x^2 then f(x) + g(x) =

Answers

Answer:  B) -6x³ + 4x²

Step-by-step explanation:

         f(x): -3x⁴ - 2x³ + 3x²

     + g(x): 3x⁴ - 4x³ +   x²

f(x) + g(x):        - 6x³ + 4x²

Brainliest and lots of points

The function P(x)=2x2+3x+4, is dilated by the function I(x)=P(13x).

Which function rule represents I(x)?

Answers

Answer:

Step-by-step explanation:

I(x)=P(13x) = 2(13x)²+3(13x) +4

I(x)=P(13x).= 338x²+39x+4

Margaret is making strawberry milkshakes for the kids party. The recipe calls for of a cup of strawberry syrup to make 8 milkshakes. How many cups of strawberry syrup are needed to make 96 milkshakes.?

Answers

Answer:

12

Step-by-step explanation:

96 / 8

Answer:

12 Cups are needed!

Step-by-step explanation:

You find the answer by dividing 96 milkshakes by 8 Milkshakes and find that 12 cups are needed.

:)

Your swim team competes in the 200-meter freestyle relay. The individual times for the four team members are 27.81, 26.89, 26.55, and 25.48 seconds. What is the total relay time for the team?

Answers

Add all the times together:

27.81 + 26.89 + 26.55 + 25.48 = 106.73 seconds.

1 minute = 60 seconds.

106 - 60 = 46

Total time: 1 minute and 46.73 seconds.

Answer:

106.73

Step-by-step explanation:

27.81 + 26.89 + 26.55 + 25.48 = 106.78

So in conclusion, the answer is 106.78

which function has real zeros at x=-8 and x=5?​

Answers

Answer: The required function would be [tex]x^2+3x-40[/tex]

Step-by-step explanation:

Since we have given that

There are two real zeroes :

x = -8 and x = 5

So, we need to find the function satisfying the above two zeroes:

Let α = -8 and β = 5

So, it means it is a quadratic equation :

[tex]x^2-(\alpha +\beta)x+\alpha \beta \\\\=x^2-(-8+5)x+-8\times 5\\\\=x^2+3x-40[/tex]

Hence, the required function would be [tex]x^2+3x-40[/tex]

Answer:

The answer is A

Step-by-step explanation:

Factor completely x³ - 7x² + 2x + 40 given x = -2 is a root.

Answers

Answer:

  (x +2)(x -4)(x -5)

Step-by-step explanation:

When you divide the cubic by (x +2), the factor that has -2 as a root, you get a quadratic with roots 4 and 5. Thus the factors are ...

  (x +2)(x -4)(x -5)

___

In the attachment, we have done the division using a graphing calculator. You can also do it by polynomial long division or by synthetic division. The resulting quadratic is ...

  x^2 -9x +20 = (x -4)(x -5) . . . . . factor the quadratic

A series of steps designed to help you solve problems and answer questions
A) observation
B) scientific method
C) experiment
D) hypothesis

Answers

Answer: B Scientific Method

Amber obtained a 30-year, $260,000 loan for her new home. The interest rate is 3.8% and her monthly payment is $1,211.49. How much of the first payment is for principal?

Answers

Answer:

  $388.16

Step-by-step explanation:

Her monthly interest rate is 3.8%/12, so the amount of interest due on the first payment is ...

  $260,000 × 0.038/12 ≈ $823.33

Then the amount applied to the principal is ...

  $1211.49 -823.33 = $388.16

A polynomial has been factored, as shown below:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial?
3, 8, 11
3,-8, 11
-3, 8, -11
-3,3, -8,8, -11, 11

Answers

Answer:

  3, -8, 11

Step-by-step explanation:

The first factor is zero when x=3.

The second factor is zero when x=-8.

The third factor is zero when x=11.

Whenever any factor is zero, the polynomial is zero.

The zeros are 3, -8, 11.

show work please.

solve system of equations using matrices.

Answers

Answer:

(t, t -1, t)

Step-by-step explanation:

You have three unknowns but only 2 equations, so you can't really SOLVE this...you can get a solution with a variable still in it (I forget what this is called.  I think it refers to infinite many solutions).  Here's how it works:

Set up your matrix:

[tex]\left[\begin{array}{ccc}1&-2&1\\2&-1&-1\\\end{array}\right] \left[\begin{array}{ccc}2\\1\\\end{array}\right][/tex]

You want to change the number in position 21 (the 2 in the scond row) to a 0 so you have y and z left.  Do this by multiplying the top row by -2 then adding it to the second row to get that 2 to become a 0.  Multiplying in a -2 to the top row gives you:

[tex]\left[\begin{array}{ccc}-2&4&-2\\2&-1&-1\\\end{array}\right]\left[\begin{array}{ccc}-4\\1\\\end{array}\right][/tex]

Then add, keeping the first row the same and changing the second to reflect the addition:

[tex]\left[\begin{array}{ccc}-2&4&-2\\0&3&-3\\\end{array}\right] \left[\begin{array}{ccc}-4\\-3\\\end{array}\right][/tex]

The second equation is this now:

3y - 3z = -3.  Solving for y gives you y = z - 1.  Let's let z = t (some random real number that will make the system true.  Any number will work.  I'll show you at the end.  Just bear with me...)

lf z = t, and if y = z - 1, then y = t - 1.  So far we have that y = t - 1 and z = t.  Now we solve for x:

From the first equation in the original system,

x - 2y + z = 2.  Subbing in t - 1 for y and t for z:

x - 2(t - 1) + t = 2.  Simplify to get

x - 2t + 2 + t = 2  and  x - t = 0, and x = t.  So the solution set is (t, t - 1, t).  Picking a random value for t of, let's say 2, sub that in and make sure it works.  If:

x - 2y + z = 2, then t - 2(t - 1) + t = 2 becomes t - 2t + 2 + t = 2, and with t = 2, 2 - 2(2) + 2 + 2 = 2.    Check it:  2 - 4 + 4 = 2 and 2 = 2.  You could pick any value for t and it will work.

Identify the value of x and the length of each secant segment. HELP ASAP!!

Answers

Answer:

[tex]x=10, NL=8, NP=12[/tex]

Step-by-step explanation:

we know that

Applying the Intersecting secant Theorem

[tex]NL*NM=NP*NO[/tex]

substitute the given values and solve for x

[tex](3+5)*3=(2+x)*2[/tex]

[tex](8)*3=(2+x)*2[/tex]

[tex]24=(2+x)*2[/tex]

[tex]12=(2+x)[/tex]

[tex]x=12-2=10[/tex]

Find the value of NP

[tex]NP=(2+x)=2+10=12[/tex]

therefore

[tex]x=10, NL=8, NP=12[/tex]

Answer:

x = 7; NL = 12; NP = 20

Step-by-step explanation:

ur welcome

Please help!!!!!!!!!!!!!!!!!!

Answers

A = 0.5 x 10.4 x 16.9

A = 87.88

The area of the triangle is 87.88 ft²

Alberto has 92 stamps in one large álbum and 38 stamps in anotaré small álbum. How can he use mental math to find how many more stamps are in the large album use drawings to show your answer

Answers

Answer:

The answer would be the large album has 54 more stamps than the small album.

Step-by-step explanation:

... 92 - 38 = 54

Do you need a drawing done though?

Find the area. (Geometry)

Answers

Answer: 12800m^2

This shape is made up of a rectangle and a triangle.

Rectangle

= 120 x 60

= 7200

Triangle

= (200 - 60) x (120 - 40) x 0.5

= 140 x 80 x 0.5

= 5600

Total Shape

= 7200 + 5600

= 12800m^2

James bought two T-shirts and one pair of jeans at an online store and paid $40, not including taxes, for his purchase. A month later, the same store sold the T-shirts and jeans at a 50% discount from their original prices. James bought two T-shirts and five pairs of jeans for $60, not including taxes.

Answers

Answer:

The T-shirts cost $10 and the jeans cost $20.

Step-by-step explanation:

I guess you want to find the cost of the T-shirts and jeans at his first buy,

Let the cost be  $t and $j for T-shirts and jeans respectively.

Then we have the system:

2t + j = 40...................(1)

and a month later:

0.5*2t  + 0.5*5j = 60

t + 2.5j = 60................(2)

Multiply by - 2:

-2t - 5j = -120.............(3)

Adding equations (1) and (3):

-4j = -80

j = -80 /  -4

j =  $20.

Substituting j = 20 into equation (2):

t + 2.5(20) = 60

t = 60 - 50

t = $10.

t = $55

Kendra sold 200 shares through her broker on June 8. The price per share was $22.10. The broker charged her a 0.5% commission on the total value. What was Kendra’s return on the trade?

A. $4,397.90

B. $4,420.00

C. $4,596.90

D. $4,620.00

Answers

Answer:

A. $4397.9

Explanation:

We are given that Kendra sold 200 shares and that the price per share was $22.1

This means that:

Total value = 200 * 22.1 = $4420

Now, we know that the broker charged 0.5% commission on the total value

This means that:

Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1

Therefore,

Kendra's return = Total value - broker's charge

Kendra's return = 4420 - 22.1 = $4397.9

Hope this helps :)

Answer:

$4,397.90

Step-by-step explanation:

What is the inverse of the function below? f(x) = 5x - 2
A. f -1(x) = x - 2/ 5
B. f -1(x) = x + 2 / 5
C. f -1(x) = -2 + 5x
D. f -1(x) = -5x + 2

Answers

Answer:

B. f -1(x) = x + 2 / 5

[tex]f^{-1}(x)=\frac{x+2}{5}[/tex]

Step-by-step explanation:

To find the inverse of a function we need to interchange x and y an solve for y.

Since [tex]f(x)=y[/tex], then

[tex]f(x)=5x-2[/tex]

[tex]y=5x-2[/tex]

[tex]x=5y-2[/tex]

Add 2 to both sides

[tex]x+2=5y-2+2[/tex]

[tex]x+2=5y[/tex]

Divide both sides by 5

[tex]\frac{x+2}{5}=\frac{5y}{5}[/tex]

[tex]\frac{x+2}{5}=y[/tex]

[tex]y=\frac{x+2}{5}[/tex]

[tex]f^{-1}(x)=\frac{x+2}{5}[/tex]

We can conclude that the correct answer is B. f -1(x) = x + 2 / 5

This beach toy is a square pyramid. It has a height of 4 inches and the base has side lengths of 4 inches. What is the volume?

Answers

Check the picture below.

[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\\ &its~base\\ h=&height\\ \cline{1-2} B=&\stackrel{4\times 4}{16}\\ h=&4 \end{cases}\implies V=\cfrac{1}{3}(16)(4)\implies V=\cfrac{64}{3}\implies V=21.\overline{3}[/tex]

Answer:

21.03^3  this is the answer.

Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?

Answers

Answer:

12-5.5=h

12-5.5=6.5

Kyle needs to volunteer 6.5 more hours.

Step-by-step explanation:

Answer:

5.5 + h = 12

Step-by-step explanation:

Here, h represents the number of hours, Kyle still needs to volunteer this week,

Given,

He volunteered 5.5 hours at the library this week.

Since, the total number of hours he needs to volunteer = 5.5 + h

According to the question,

5.5 + h = 12

Which is the required equation.

If the mean of six numbers is 41 and if one is removed the mean will be 46 what is the number being removed

Answers

Answer:

1 is my answer but I could be wrong

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

A politician wants to see what people in her district think about tax cuts. Which procedure would be a good way of conducting a survey?

Answers

Answer:

D

Step-by-step explanation:

C is also possible but it is not purely random and it is not mentioned the mall is in her district.

Answer:  D) Mail a questionnaire to random households.

Step-by-step explanation:

A) You are limited to only listeners of the radio show

B) You are limited to only those that are wiling and able to attend the meeting.

C) You are limited to only shoppers at that particular mall.

D) Randomly selecting households is the least biased method of responses from the district.

Lucky Jack wins the lottery! He deposits $100,000 in an account that earns 4% interest compounded continuously. How much money is in the account at the end of 5 years?

A) $120,357
B) $122,140
C) $125,620
D) $225,820

Answers

Answer:

Option B) $122,140

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=5\ years\\ P=\$100,000\\ r=0.04[/tex]  

substitute in the formula above  

[tex]A=\$100,000(e)^{0.04*5}=\$122,140.28[/tex]  

Round to the nearest dollar

[tex]\$122,140.28=\$122,140[/tex]  

Determine if the Mean Value Theorem for Integrals applies to the function f of x equals 2 times the square root of x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.
No, the theorem does not apply.
Yes, x = 1.
Yes, x equals 8 over 3.
Yes, x equals sixteen divided by 9.

Answers

[tex]f(x)=2\sqrt x[/tex] is continuous on [0, 4] and differentiable on (0, 4), so the MVT holds. We have

[tex]f'(x)=\dfrac1{\sqrt x}[/tex]

so that by the MVT, there is some [tex]c\in(0,4)[/tex] such that

[tex]f'(c)=\dfrac{f(4)-f(0)}{4-0}\implies\dfrac1{\sqrt c}=\dfrac{2\sqrt4}4=1[/tex]

[tex]\implies1=\sqrt c\implies \boxed{c=1}[/tex]

Answer:

x= 16/9

Step-by-step explanation:

[tex]f(x) = 2\sqrt{x}[/tex] is differentiable on [0,4] so the Mean Value Theorem For Integrals applies.

Average Value of the Integral:

[tex]\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx = \frac{1}{4-0} \int\limits^4_0 {2\sqrt{x} } \, dx[/tex]

After evaluating you will get  [tex]\frac{8}{3}[/tex]

Now, this is the average value so you still need to find the x-value using the original equation:

[tex]\frac{8}{3} =2\sqrt{x}\\\\\frac{4}{3} = \sqrt{x}\\\\\frac{16}{9} =x[/tex]

The frequency table was made using a deck of cards in which each card is numbered 1, 2, 3, or 4.

Create a bar graph by dragging the sliders on the horizontal axis to represent the probability distribution.

Answers

Answer:

Step-by-step explanation:

So the table means that there are 20 1's, 120 2's, 40 3's, and 20 4's.

The total number is 20+120+40+20 = 200.

So the probability of each is:

1: 20/200 = 0.10

2: 120/200 = 0.60

3: 40/200 = 0.20

4: 20/200 = 0.10

A bar graph that represents the probability distribution of each card is shown in the image below.

In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.

Based on the frequency, the total number of deck of cards can be calculated as follows;

Total number of deck of cards = 20 + 120 + 40 + 20

Total number of deck of cards = 200 cards.

Next, we would determine the probability distribution of each card as follows:

P(X = 1) = 20/200 = 0.10.

P(X = 2) = 120/200 = 0.60.

P(X = 3) = 40/200 = 0.20.

P(X = 4) = 20/200 = 0.10.

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