What is the perimeter of kite OBDE?

12 units

22 units

38 units

58 units

What Is The Perimeter Of Kite OBDE? 12 Units 22 Units38 Units 58 Units

Answers

Answer 1

Answer:

38 units  

Step-by-step explanation:

Triangle ABC is a right triangle.  To find the missing side, AB (which is the hypotenuse), we use the Pythagorean theorem:

a²+b² = c²

10²+24² = c²

100+576 = c²

676 = c²

Take the square root of both sides:

√(676) = √(c²)

26 = c

AB is a diameter; this means the radius is 26/2 = 13.  This means that OB = 13 and OE = 13.

BD and DE are congruent; this means that BD = 6.

This makes the perimeter

13+13+6+6 = 38 units.

Answer 2

The perimeter of kite OBDE is 38 units.

What is Pythagoras theorem?

Pythagoras theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

What is perimeter?

Perimeter is the distance around the edge of a shape.

What is kite?

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

According to the given question.

We have a circle with center o and diameter AB.

Triangle ABC is a right triangle.  

To find the missing side, AB (which is the hypotenuse), we use the Pythagoras theorem.

So,

[tex](AB)^{2} = (10)^{2} +(24)^{2}[/tex]

[tex]\implies (AB)^{2} = 100+ 576\\\implies (AB)^{2} = 676\\\implies AB = \sqrt{676} \\\implies AB = 26[/tex]

Since, AB is the diameter of the circle. Therefore,

[tex]OB = \frac{AB}{2} \\\implies OB = \frac{26}{2} = 13[/tex]

Also, OBDE is a kite and we know that the adjacent sides of a kite are congruent.

[tex]\implies OB = BD = 13 \\\And,\ OE = ED = 6[/tex]

Therefore,

the perimeter of kite OBDE

= Length of sides (OB + BD + DE + EO )

= 13 + 13 + 6 + 6

= 26 + 12

= 38 units.

Hence, the perimeter of kite OBDE is 38 units.

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Related Questions

X intercept
Of v^2 +5v+6=0

Answers

Answer:

x-intercepts:x = -2 and x = -3 ⇒ (-2, 0) and (-3, 0).

Step-by-step explanation:

[tex]f(v)=v^2+5v+6\\\\\text{The x-intercept is for y = 0.}\\\\v^2+5v+6=0\\\\v^2+2v+3v+6=0\\\\v(v+2)+3(v+2)=0\\\\(v+2)(v+3)=0\iff v+2=0\ \vee\ v+3=0\\\\v+2=0\qquad\text{subtract 2 from both sides}\\v=-2\\\\v+3=0\qquad\text{subtract 3 from both sides}\\v=-3[/tex]

Graph the equation below by plotting the y-intercept and a second point on the line.

Answers

The y-intercept is the Y coordinate when X = 0

replace x with 0 and solve for Y:

y = 3/2(0)-5 = -5

The first point using the Y-intercept would be (0,-5)

Now to find another point replace X with another number other than 0 and solve for Y.

Lets use 2:

y = 3/2(2) - 5

y = 3-5 = -2

The second point would be (2,-2)

Now plot those two points and connect with a line.

See attached picture of how it should look:

The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?

Answers

Answer:

The volume of cube =  x³ -6x²y + 12xy² - 8y³

Step-by-step explanation:

It is given that,

Side length of cube s = (x - 2y)

Volume of cube = s³

Points to remember

(a - b)³ = a³ - 3a²b + 3ab² - b³

To find the volume of cube

s = (x - 2y)

Volume V = s³ = (x - 2y)³

(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³

  = x³ -6x²y + 12xy² - 8y³

Therefore the volume of cube =  x³ -6x²y + 12xy² - 8y³

Answer:

[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Step-by-step explanation:

We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.

[tex]Volume =  (x-2y)^3[/tex]

We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]

So expanding the given expression accordingly:

[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]

Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

what is the mean mode midean and rage of 78 86 88 79 88 88 95 92

Answers

Median: Order the numbers from least to greatest and look in the center for the median; if two numbers add together than divide by 2

78,79,86,88,88,88,92,95, so the median is 88 because when 2 numbers are the same, you can just take the shortcut and say it because you are going to get the same number

The mode is 88

The mean is 86.75

And the range is 17

Can I have brainliest if it is correct plz?

Answer:

This person below is correct. (i wrote this so you could mark them brainliest cus you need 2 answers to be able to mark) :)

have a great day

What is the square root of 81?

Answers

Answer: 9 or -9 it can be both

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the square root is fundamentally just what two numbers multiply together to make the number within the square root

9 x 9 = 81

so 9 is the square root

also think of the root of the square

9^2 the root in this case is the nine and te answer is 81

The values in the table represent a exponential function. What is the common difference of the associated geometric

Answers

Answer:

A) 4

Work is shown in attached sheet! :)

Answer:

Option A is correct

Common ratio = 4

Step-by-step explanation:

Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.

[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}= \frac{a_4}{a_3}=.....[/tex]

As per the statement:

The values in the table represent a exponential function.

Since, Geometric sequences and exponential functions are very closely related to each other.

At x= 1;

y = 9

At x = 2;

y = 36 and so on....

By definition we have;

[tex]r = \frac{36}{9} =\frac{144}{36}=......[/tex]

After solving we get;

r  =4

Therefore, the common ratio of the associated geometric is, 4

What’s the square root of 108 a to the 7th power b to the 5th power

Answers

Answer:

Step-by-step explanation:

Factor all the factors making up the square root.

108: 2*2*3*3*3

a^7: a*a*a*a*a*a*a

b^5:b * b * b * b * b

The rule for taking a square root of this is

For every pair, you get to take one number outside the root sign and throw the other one away.

2*3*a * a * a* b * b√(3*a * b)

6a^3b^2 * √(3*a*b)

PLEASE HELP!!!!!!!!!!!!!!!!

Answers

Minimum is 4 maximum is 10 lower quartile is 5 upper quartile is 9 median is 6 and IQR is 6 as well I think

Answer:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

Step-by-step explanation:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

IQR = Upper quartile - lower quartile

What is area of this face

Answers

Answer:

The area of that face is 28

Step-by-step explanation:

because 10 x 2 = 20 and 2x2=4 and 2x2=4 so add all those up together and you get 28

Answer:

[tex]28in^{2}[/tex]

Step-by-step explanation:

We can divide the yellow area in one rectangle and two squares. The dimensions of the rectangle is 10in by 2in, because the base of such rectangle is found by subtracting 4 inches and 2 inches, that would give us the measure of the base of the rectangle.

So, the area of the rectangle is

[tex]A_{r}= 10in \times 2in = 20in^{2}[/tex]

Now, the dimensions of the square is 2 inches by 2 inches, according to the graph. So, the area of each square is

[tex]A_{s}=2in \times 2in = 4in^{2}[/tex]

The total area would be

[tex]A_{total}= A_{r}+ 2A_{s}= 20in^{2}+2 (4in^{2} )=20in^{2} +8in^{2} = 28 in^{2}[/tex]

Therefore, the right answer is [tex]28in^{2}[/tex]

7+12+21+34 Please find the mean!

Answers

Answer:

Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean

Answer:

The answer is 18.5.

Step-by-step explanation:

First, we have to add them all.

7 + 12 + 21 + 34 = 74

Next, we divide the sum by how many numbers we added (we added four numbers).

74 / 4 = 18.5.

I hope this helped! :-D

Simplify (x-5)(x^2-2x-6)

Answers

Answer:

x^3 - 7x^2 + 4x + 30

Step-by-step explanation:

The equation is already simplified to its fullest if we're looking at factored form.

Otherwise, just multiply everything out using a punnett square.

Answer:

x^3 - 7x^2 + 4x + 30

Step-by-step explanation:

I just did this one hope this helps

PLEASE HELP ASAP!!! What is the exact volume of the cone?


40π cm³

803π cm³

1603π cm³

160π cm³

Answers

Answer:

Its the third choice.

Step-by-step explanation:

V = 1/3  pi r^2 h

= 1/3 pi 4^2 * 10

= (160/3) pi cm^3.

Answer:

third one:)

Step-by-step explanation:

i took the k12 test

solve c2=a2+b2 for b

Answers

Answer:

A^2+B^2=C^2

B^2=C^2-A^2

B=SQRT(C^2-A^2

Step-by-step explanation:

Answer:

[tex]b=\sqrt{c^2-a^2}[/tex].

Step-by-step explanation:

The given expression is [tex]c^2=a^2+b^2[/tex].

We want to solve this equation for [tex]b[/tex] , we subtract [tex]a^2[/tex] from both sides of the equation.

[tex]c^2-a^2=b^2[/tex].

We take the square root of both sides to get;

[tex]\pm \sqrt{c^2-a^2}=b[/tex].

Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then

[tex]b=\sqrt{c^2-a^2}[/tex].

what expression is equivalent to the number 28 19/100

Answers

Answer:

20 + 8 + 0.1 + 0.09

Step-by-step explanation:

Answer:

20 + 8 + 0.1 + 0.09

20 wholes +8 wholes =28 then...

.1 tenth+.09 hundereths=.19 add..

28+.19=.  28.19

Tori examined the pattern of exponents in the table.

Answers

Answer:

The value of b = 1/36

As exponent decreases, each previous value is divided by 6

If the table was extended, the value of 6^-3 would be 1/216

Step-by-step explanation:

Given in the question a table containing power of 6

We will use negative rule of exponent to write the equivalent of negative power of 6

b^{-n}= 1 / b^{n}

we know that

[tex]6^{1} = 6[/tex]

so

[tex]6^{-1} = \frac{1}{6^{1} }[/tex]

= 1/6

and

[tex]6^{2} = 36\\[/tex]

So,

[tex]6^{-2} = \frac{1}{6^{2} }[/tex]

= [tex]\frac{1}{36}[/tex]

Dan earned $300 in 3 days. How much money does Dan earn per day?

Answers

$100

$300/3 days = $100/1 day

Answer:

100 $

Step-by-step explanation:

Hello

If

300 $ ----> 3 days

X -----------> 1 day

X = [300*1] / (3)

X = 100 $

Best regards

What values of x satisfy x 2 + 2 x = 24?



- 6, - 4

- 6, 4

6, - 4

6, 4

Answers

Answer:

x = -6   x=4

Step-by-step explanation:

x^ 2 + 2 x = 24

Subtract 24 from each side

x ^2 + 2 x-24 = 24-24

x^2 +2x -24 = 0

Factor

What 2 numbers multiply to -24 and add to 2

6*-4 = -24

6+-4 = -2

(x+6) (x-4) =0

Using the zero product property

x+6 =0           x -4=0

x+6-6=0-6     x-4+4=0+4

x = -6   x=4

One side of a square is 4x, what is the area of this square?

Answers

Answer:

16x^2

Step-by-step explanation:

To find the area of a square, we use the formula

A = s^2  where s is the side length

A = (4x)^2

A = 16x^2

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to find how to find the area.

length*width

Since all sides of a square are the same:

4x*4x

16x^2 is the area of the square.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ TROLLER (don't worry, I didn't troll you)

8398 divide by 10 then by 100

Answers

Answer:

8.398

Step-by-step explanation:

If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal

8398 / 10 = 839.8 Move the decimal 1 place.

839.8/100 = 8.398 Move the decimal 2 places.

In both instances, move the decimal left.

a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix​

Answers

we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.

[tex]\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}[/tex]

Final answer:

To find out how much of each color to mix, set up a proportion and solve for x. You will need 3.75 gallons of blue paint and 12.5 gallons of white paint.

Explanation:

To find out how much of each color to mix, we can set up a proportion.

Let's say x represents the amount of blue paint needed, and y represents the amount of white paint needed.

We can set up the following equation:

1.5 quarts / 5 quarts = x gallons / (16.25 - x) gallons

Cross multiplying gives us:

5x = 1.5(16.25 - x)

Simplifying the equation gives us:

5x = 24.375 - 1.5x

Combining like terms gives us:

6.5x = 24.375

Dividing both sides by 6.5 gives us:

x = 3.75

So, you will need 3.75 gallons of blue paint and 16.25 - 3.75 = 12.5 gallons of white paint.

David need 36 gallons of punch for a party and has two different cooler to carry I in the bigger cooler is 5 times as large as the smaller cooler how many gallons can each hold?

Answers

David needs 36 gallons.
So, 36/z (for now) the bigger cooler is 5x. However, I don’t know what x is. So, the problem can’t really be solved. I’m sorry.
Answer:

Small cooler can hold= 6 gallons

and big cooler can hold= 30 gallons

Step-by-step explanation:

Let the numbers of gallons hold by a small cooler is: x gallons

and the number of gallons hold by a bigger cooler is: 5x gallons.

( Since it was given that:

The bigger cooler is 5 times as large as the smaller cooler  )

Also the total number of gallons of punch for a party is: 36 gallons

Hence, we get:

   x+5x=36

i.e.  6x=36

On dividing both side by 6 we get:

   x=6

Hence, the number of gallons hold by small cooler is: 6 gallons

and number of gallons hold by big cooler is: 5×6=30 gallons

what does 3(x+4)= equal​

Answers

3x + 12

[tex]3(x+4)=3x+12[/tex

Answer:

3x + 12

Step-by-step explanation:

3(x+4) => (3 · x) + (3 · 4) => 3x + 12

Please answer this question ASAP.

Answers

Let c = angle TPS

This angle adds to angle 'a' to get a+c = 90. We know these angles are complementary because triangle PQR is a right triangle. The acute angles of a right triangle add to 90.

We also know that b+c = 90 for similar reasons. Triangle PST is a right triangle.

So we have these two equations

a+c = 90

b+c = 90

If we were to subtract straight down then we would end up with

a-b = 0

which solves to

a = b

after adding b to both sides

There is a sale for soft drinks, so four stores are competing with each other. Which store offers the best buy? Store A : 12 pack for $3.00 Store B : 22 pack for $5:50 Store C : 18 pack for $4:75 Store D : 36 pack for $8:00

Answers

store a single drink cost $3/12 =25c

store b single drink cost $5.50/ 22 = 25c

store c single drink cost $4.75/18 = 26c

store d single drink cost $8/36 = 22c

hence store d offers the best buy

Final answer:

To determine the best buy among four stores selling soft drinks, compare the price per can or pack for each store. Store D offers the best buy with a cost of approximately $0.22 per can.

Explanation:

To determine which store offers the best buy, we need to compare the prices per can or pack of each store.

Store A offers a 12 pack for $3.00, so each pack costs $3.00/12 = $0.25 per can.Store B offers a 22 pack for $5.50, so each pack costs $5.50/22 = $0.25 per can.Store C offers an 18 pack for $4.75, so each pack costs $4.75/18 ≈ $0.26 per can.Store D offers a 36 pack for $8.00, so each pack costs $8.00/36 ≈ $0.22 per can.

Therefore, Store D offers the best buy with a cost of approximately $0.22 per can.

Learn more about comparing prices here:

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Single bottles are sold for $1.25. A six pack is sold for $7.20. A twelve pack is sold for $13.80 and a case of 24 bottles is sold for $26.40. When you are buying a case of 24, how much less do you pay per bottle than when buying a 12 pack. Show your answer.

Answers

Answer: 5 cents less

Step-by-step explanation:

The unit price for the 24 pack would be $1.10 and the unit price for the 12 pack would be $1.15.

Answer:

0.05

Step-by-step explanation:

Ken ate 2⁄7 of the chocolate bar one day and 8⁄14 the next day. How much of the chocolate bar did Ken eat?

Answers

Answer:

6/7

In decimal form it would be 0.85714285714

Answer:

6/7

Step-by-step explanation:

Add 2/7 and 8/14:

Recognize that the LCD is 14.  Rewrite 2/7 as 4/14.

Then 4/14 + 8/14 = 12/14.  This reduces to 6/7.

Ken ate 6/7 of the chocolate bar in two days.

A number that multiple by itself equal a given number is what​

Answers

Answer:

I don't understand the question, but...

When you multiply a number by itself, you are squaring it.

For Example:

3 x 3= 9

is the same as...

3^2= 9

Before an algebraic fraction is selected as a final answer what should you always check?

Answers

Answer:

a variable numerator

Step-by-step explanation:

Answer:

Before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Before an algebraic fraction is selected as a final answer, we check that the answer is in the form of p/q, where q≠0 and HCF(p,q)=1.

Let a algebraic equation is

[tex]4x+4=18[/tex]

Subtract 4 from both sides.

[tex]4x=14[/tex]

Divide both sides by 4.

[tex]x=\frac{14}{4}[/tex]

Now cancel out the common factors.

[tex]x=\frac{7}{2}[/tex]

The final answer in algebraic fraction is 7/2.

Therefore, before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

3/5 divided by 1/4 as a word problem

Answers

Answer:

Step-by-step explanation:

12/5 is the answer.

A 54-ounce bottle of fruit juice costs $6.by the unit rates rounded to the nearest cent

Answers

Answer:

The unit rate is 0.11 $/ounce

Step-by-step explanation:

we know that

To find the unit rates divide the total cost by the total volume

so

(6/54)=0.11 $/ounce

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