A kite is inscribed in a square with a side length of 9 units. What is the area of the kite? 27. 5 square units 36. 0 square units 40. 5 square units 45. 0 square units.

Answers

Answer 1

45. 0 square units.

Answer 2

The area of the kite is 40.5 unit square.

The side of the kite inscribed in square is 9

We have to find the area of the kite

What is the formula for the area of the kite?

The area of a kite is,

[tex]A = (d_1d_2) / 2[/tex]

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

The kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

Therefore we get,

[tex]d_1 = 9 units[/tex]

[tex]d_2 = 9 units[/tex]

[tex]A = (9units \times 9units) / 2[/tex]

[tex]A = 81units^2 / 2[/tex]

[tex]A = 40.5 units^2[/tex]

So the third option is correct .

Therefore ,The area of the kite is 40.5 unit square.

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Related Questions

Use the equation, (1/27)^x = 3^-4x+6, to complete the following problems
(a) Rewrite the equation using the same base.
(b) Solve for x. Write your answer as a fraction in simplest form.

Answers

Answer:

[tex]\sf 3^{-3x}=3^{(-4x+6)}[/tex]

[tex]\sf x=6[/tex]

Step-by-step explanation:

[tex]\sf Given \ equation: \left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]

[tex]\sf As \ \dfrac{1}{27}=\dfrac{1}{3^3} \ and \ \dfrac{1}{a^b}=a^{-b} \ then \ \dfrac{1}{27}=3^{-3}[/tex]

Therefore, we can rewrite the given equation with base 3:

[tex]\implies \sf (3^{-3})^x=3^{(-4x+6)}[/tex]

Apply the exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :

[tex]\implies \sf 3^{-3x}=3^{(-4x+6)}[/tex]

[tex]\sf If \ a^{f(x)}=a^{g(x)} \ then \ f(x)=g(x)[/tex]

[tex]\implies -3x=-4x+6[/tex]

Add 4x to both sides to solve for x:

[tex]\implies \sf x=6[/tex]

!!!WILL MARK BRAINLIEST!!

Answers

Answer:

B, F

Step-by-step explanation:

B, F is correct.

A, C, D, E, G, H is wrong.

[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]

[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]

find the simple interest #70000 for 7 1/2 at 3% per annum​

Answers

Answer:

I think 1575000 but not sure sorry if i'm wrong

The inequalities x + 3 < -5 and -x > -8 are the same.

True False

Answers

Answer:

False

Step-by-step explanation:

x + 3 < -5

x < -8

-x > -8

x < 8

Both aren't same

Two soup cans p and q are right circular cylinders. each can has the same height, 5 inches, but the radius of can p is 2 inches, and the radius of can q is 4 inches. how many times larger is the volume of can q than the volume of can p?

Answers

Answer: B. 4

Sorry for the really late answer

Step-by-step explanation:

If the radius of a right circular cylinder is multiplied by k, and its height does not change, then the volume of the cylinder is multiplied by k². The radius of can Q is twice as great as the radius of can p. Therefor, the volume of can Q is 2², or 4 times larger than the volume of can p.

Please help I don't get this

Answers

Answer:

5(t+6). I think this may helps you


$3.36 for 16 ounces
$3.60 for 20 ounces
$4.08 for 24 ounces
$5.44 for 32 ounces

Answers

Answer:

.1825 per ounce

Step-by-step explanation:

find the per ounce for each equation, then find the average per ounces from the 4 equations

3x-6y=-12
6x+6y=30
What is the value of x and y

Answers

Answer:

(2,3) or x=2 and y=3

Step-by-step explanation:

find x...

3x-6y= -12

3x = 6y-12

x = 2y-4

plug x into the other equation

6(2y-4) + 6y = 30

12y-24 +6y = 30

18y = 54

y = 3

Plug y into an equation to find x

3x-6(3) = -12

3x-18= -12

3x=6

x=2

[Answer] y=3 and x=2 or (2,3)

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

How much money will
be spent in interest
alone over the course of
the 4% 30-year
mortgage described in
the table?

Answers

Answer:

the answer is 4,800 dollars

Step-by-step explanation:

Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.

Hope this helps!

What is the square of the sum of the first 5 Square numbers?

Answers

Answer:

3025

Step-by-step explanation: Add the first five square numbers together then square that.

1²+2²+3²+4²+5² = 55

55² = 3025

Use your calculator to find sin-1(0.48) to the nearest degree

Answers

Using your calculator the inverse sine of 0.48(sin⁻¹ 0.48) to the nearest degrees is 29 degrees.

How to use calculator to find inverse sine of a number

According to the question, we are to use calculator to find the inverse sine of 0.48. This can be represented mathematically as follows:

sin⁻¹ 0.48

The exponential -1 tells us that it is an inverse sine.

The picture below gives are more pictorial way to use calculator to find inverse sine of 0.48.

Always check if your calculator is set in degree and not radian.

Therefore,

sin⁻¹ 0.48 = 28.6854020141

To the nearest degrees,

sin⁻¹ 0.48 = 29°

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solve linear systems by multiplying
3x+y=-15
2x-3y=23

Answers

Answer:

x=-2, y=-9

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]

Solution:

[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]

Simplify to:

[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]

[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-9[/tex]

[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]

Solve:

[tex]x=-2[/tex]

Hence the answer is:

[tex]x=-2,\:y=-9[/tex]

~lenvy~

A tunnel for an amusement park ride has the shape of a
regular hexagonal prism with dimensions shown. The prism
has a volume of 3,572.1 cubic meters. Can two 8-meter cars
connected by a 3-meter connector pass through the tunnel
at the same time? Explain.

Answers

The 3,572.1 m³ volume of the hexagon and the 19 m. length of the cars and 3-m connector, gives;

Yes, two cars connected by a 3 meter connector can pass through the tunnel at the same time

How can the capacity of the tunnel be found?

From a similar question, we have;

Side length of the hexagon = 8.1 m

Perpendicular distance from the center to a side of the hexagon = 7 m.

Therefore;

Cross sectional area of the hexagon, A is found as follows;

A = 6 × 0.5 × 7 × 8.1 = 170.1

Length of the tunnel, D = 3572.1 ÷ 170.1 = 21

D = 21 meters

Length of two cars and a connector, L = 8 + 8 + 3 = 19

The tunnel length, D = 21 m. is longer than the length of two cars and the connector, L = 19 m.

Therefore;

Two cars connected by a 3 meter connector can pass through the tunnel at the same time.

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I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!

4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.


5. Create a graph of the polynomial function you created in Question 4

Answers

Answer:

4. equation: f(x)=(x-2)(x-1)

direction: parabola faces up bc a is positive

y-intercept: (0,2)

zeros/x-intercepts: (1,0) & (2,0)

5. graph is attached (i used desmos)

What is the solution to the equation t minus 15 = 76?
t minus 15 = 76. t minus 15 minus 15 = 76 + 15. t = 91.

t minus 15 = 76. t minus 15 + 15 = 76 + 15. t = 91.

t minus 15 = 76. t minus 15 minus 15 = 76 minus 15. t = 61.

t minus 15 = 76. t minus 15 + 15 = 76 minus 15. t = 61.

Answers

Answer:

4. / D.

Step-by-step explanation:

[tex]t-15=76\\t=76-15\\t=61[/tex]

Answer:

The answer is B

Step-by-step explanation:

I got it right

:-)

The measure of supplementy is an angle which is (a) 36° (b) 144° (c) 79° (d) 101°​

Answers

Answer:

Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.

Step-by-step explanation:

An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth. what does the unknown number round to when rounded to the nearest whole?

Answers

The answer would be 4

4 because if its under 3.5 it would round to 3 but since its over 3.5 it rounds to 4

I will mark the right answer brainliest

Answers

Answer:

∠TAN = 36°

Explanation:

The figure shows an isoceles triangle.

An isoceles triangle has two equal sides and equal angle measure.

The total interior angle of a triangle sum ups to 180°

∠TAN = ∠TNA

=========

∠TAN + ∠TNA + ∠ATN = 180°2∠TAN = 180° - 108°2∠TAN = 72°∠TAN = 36°

Answer:

B

Step-by-step explanation:

the sides of a regular pentagon are congruent , then

AT = NT and so Δ TAN is isosceles with base angles congruent , so

∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B

Question 7: David wants to fill his water bottle. The cylindrical bottle has a radius of 4.5 in and a height of 9.10 in. How much water will he need if 3 ounces of water is equivalent to 2 cubic inches? ​

Answers

1st question

volume of the bottle in inches ?

cylinder volume = area x height

                           = pi x r² x h

                           = 3,14 x 4,5² x 9,10

the bottle volume is 578,62 in³

then

3 ounces of water...........2 in³

? ounces of water..........578,62 in³

? = 3 x 578,62 : 2

? ≈ 868 ounces of water

The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels?.

Answers

The function D represents the cost is  $175  for of x towels.

For the first 20 towels, the equation is simply 5x.

The 5 is the cost per towel ($5) times the number of towels sold up to and including 20 towels.

What is the meaning of maximum cost of 20 towels?

Replace x by 20 in given expression  we get the maximum cost

So the maximum cost of those 20 towels is $5 (20)=$100.

Looking at towels 21 and greater, the price drops to $3 each. Putting this in a formula,

Therefore we get,

3(x-20)+100

Which is $3 for the cost per towel, (x-20) since it starts with towel number 21, and +100 for the cost of the first 20 towels.

Let's try it for 45 towels using the formula

3 (45-20)+ 100

=3(25) + 100

=75+ 100

= $175

The function D represents the cost is  $175  for of x towels.

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Answer:

d

Step-by-step explanation:

edge 2022

PLEASE HELP ME I CANT GET IT RIGHT

Answers

Answer:

I believe the answer is 760 ft²

Step-by-step explanation:

16×39/2=312

(17+39)(16)/2=448

448+312=760ft²

let me know if it was right. good luck!

Determine if the equation has no solution,one solution, or infinite many solution.

Give an explanation step by step.

-2(11-12)=-4(1-6x)​

Answers

Answer:

Step-by-step explanation:

-2(11-12)=-4(1-6x)​ becomes -2(-1) = -4(1 - 6x)

Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then

                                                                        -1 = 2 -12x, or

                                                                         -3 = -12x

Simplifying this result, we get 1 = 4x, or x = 1/4

We conclude that -2(11-12)=-4(1-6x)​ has ONE solution, which is x = 1/4

A snack-size bag of pretzels contains 0.5 ounce. How many ounces of pretzels come in a bulk pack that contains 64 snack size bags.

Answers

PROBLEM SOLVING

[tex]__________________________[/tex]

Given:Each bag of pretzels contain = 0.5 ozAnswer & Solution:

64 x 0.5 oz = 32 oz

Therefore, 64 bags of pretzels contains 32 oz of pretzels.

What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?

Answers

length : [tex]\sf \sqrt{89}[/tex]

Explanation:

use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

using the formula:

[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]

Answer:

[tex]\sf \sqrt{89}[/tex]

Step-by-step explanation:

Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)

Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)

Distance formula:

[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Input values into the distance formula and solve for d:

[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]

[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]

[tex]\sf \implies d=\sqrt{64+25}[/tex]

[tex]\sf \implies d=\sqrt{89}[/tex]

Find YZ and WZ in rectangle WXYZ.

Answers

Answer: WZ=10, YZ=15

Step-by-step explanation:

Alison had 310 rocks in her rock collection. After three months, her collection increases by 40%. How many rocks does Alison have now?

Answers

Answer:

434

Step-by-step explanation:

310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434

i need help with this problem

Answers

Answer:

the pizza one is 4/8

Step-by-step explanation:

skating one 6.75 miles

What is the slope of the line that passes through the points (2,8) and (12,20)?
Write your answer in simplest form.

Answers


First find slope we use : m=y2-y1/x2-x1

1) 20-8/12-2 = 8/10 in simple form 4/5

The slope of the required line is  [tex]\frac{6}{5}[/tex].

Equation of a Straight Line:In general form, the equation of a straight line is given by "y = m x + c", where, m is the slope of the line and c is the
Slope of a line is given by: m = [tex]\frac{difference of \ y \ co-ordinates}{difference of \ x \ co-ordinates} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

How to find the slope of the line passing through two points?Let the line passes through two points A(2,8) and (12,20).slope of the line, m
                            [tex]= \frac{y_2 - y_1}{x_2 - x_1} \\\\= \frac{20 - 8}{12-2} \\\\=\frac{12}{10} \\\\=\frac{6}{5}[/tex]

Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .

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Lily has a mask collection. She keeps some in a display case and the rest on the wall. 365 of her masks are on the wall, and 27% of her masks are in the display case. What is the total number of masks in Lily's collection?

Answers

Step-by-step explanation:

this answer is that correct

brain lest

If 365 of her masks are on the wall, and 27% of her masks are in the display case. Then 467 marks are the total number of masks in Lily's collection

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Lily keeps masks in a display case and the rest on the wall.

365 of her masks are on the wall.

27% of her masks are in the display case

We need to find what is 27% of 365 to solve this problem

27/100×365=0.27×365

=98.55

Now we need to find  the total number of masks in Lily's collection

365+98.55

463.55

467

Hence, 467 are total number of masks in Lily's collection.

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Kevin has a deck of cards. There are 10diamonds, 5 spades, 12 clubs and 3 hearts.A card was chosen at random. What is the
probability of not choosing a diamond card?

Answers

Answer: 2/3.

Step-by-step explanation: When you add all the spades, hearts, clubs, and diamonds cards together, you get 30 in total.  1/3 of the 30 cards in total are diamonds, so the other 2/3 can be drawn as well.  The probability of not choosing a diamond card is 2/3, since the remaining 1/3 is all diamonds.

Have a great day! :)

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