Select the correct answer.
Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle.

She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral.

Which statement is true?

A.
Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral.
B.
Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral.
C.
Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral.
D.
Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.

Answer:

8m

Step-by-step explanation:

Find the volume of the sphere first :

V sphere = [tex]\frac{4}{3}[/tex] π 6^3 = 902.51

Then use the volume of the sphere to find the height :

Formula = V/π[tex]r^{2}[/tex]

902.51/π(6)^2 = 8.004 (rounded is 8)

hope this helped :)

Answer:

8 m

Step-by-step explanation:

Given,

Volume of sphere = Volume of cylinder

Radius ( r ) = 6 m

Formula : -

Volume of sphere = 4/3 πr³

Note : -

The value of π is 3.14

Volume of sphere

= 4/3 x 3.14 x 6³

= 4/3 x 3.14 x 6 x 6 x 6

= 904.32 m³

Hence,

The volume of sphere is 904.32 m³.

Since,

Volume of sphere = Volume of cylinder

So,

Volume of cylinder = 904.32 m³

Formula : -

Volume of cylinder = πr²h

πr²h = 904.32

3.14 x 6 x 6 x h = 904.32

113.04 x h = 904.32

Divide 113.04 on both sides,

h = 904.32 / 113.04

h = 8 m

Answer:

(2x−3z)(3y−1)

Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)

(2x−3z)(3y−1)

Answer:

27

from the explanation,

let the number of maths that can be solved in 42 minutes = X

16 maths--------------25minutes

x maths --------------42 minutes

cross multiplying

X×25= 16×42

dividing bothsides by 25

25X/25 = 16×42/25

X = 672/25

X = 26.88 = 27 (approximately)

therefore 27 problems can be solved in 42 minutes

Answer:

Upward

Step-by-step explanation:

Because of the positive leading coefficient, the graph of the function will open upwards, being a parabola.

Answer:

the answer is 5. I think because it's a trian

A. 5 I think.....the length of DE is 5.

The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1

An equation is an expression that shows the relationship between two or more numbers and variables.

From the table, using the point (0, -1) and (4, 11), hence:

y - (-1) = [(11 - (-1))/(4 - 0)](x - 0)

y = 3x - 1

The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1

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Answer: B

Step-by-step explanation:

Answer:

The answers should be b=44°

Step-by-step explanation:

b=180°–90°–a

b=180°–90°–46°

b=44°

Answer:

12 ft - 2 ft = 10 ft

The rope is 10 feet long.

10 · cos 30° = 10 · √3 / 2 = 8.66 ft

x = 12 - 8.66 = 3.34 ft

Answer:

A ) 3.34 feet

The area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

Given points of the triangle are:-

( -6,5 ) (-5,3 ) and (-8, 2)

Now we will apply the area formula for the triangle:-

[tex]A = \dfrac{1}{2} \times B\times H[/tex]

The base will be = [tex]\sqrt{(-5++8)^2+(3-2)^2)}=\sqrt{9+1}=\sqrt{10}}[/tex]

The Height will be = [tex]\sqrt{(-5+6)^2+(5-3)^2}=\sqrt5[/tex]

The area will be calculated as:-

[tex]A =\dfrac{1}{2}\times \sqrt{10}\times \sqrt{5}=\dfrac{5\sqrt{2}}{2}}[/tex]

Therefore the area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]

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Answer:

5(2x-3y)

Step-by-step explanation:

10x-15y

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

=5(2x-3y)

Answer:

1/3

Step-by-step explanation:

i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.

Answer:

40° and 6

Step-by-step explanation:

25. Let's suppose the angles as 2x and 7x

Then,

2x + 7x = 180°

or, 9x = 180°

or, x = 180°/9

or, x= 20°

Now, 2x is smaller

So, 2x = 2× 20° = 40°

26. Solution,

Each exterior angle = 360°\n

or, 60° = 360°/n

or, 60°n = 360 °

or, n = 360°/60°

or, n=6

As, Hexagon has 6 sides.

#26

Any polygon has sum of exterior sides as 360°

No of sides

#25

Let the angles be 2x and 7x

Smallest angle=2(20)=40°

The value of minor arc, major arc and central angles given below:

An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc.

Given: BOF= 126

angle BOF= angle COE= 126 (Vertically opposite angle)

Now,  

angle BOF + angle BOC= 180   (Linear pair)

     BOC=180-126= 54

and, COE= COD+ DOE

              = COD+COD

        126       =2COD

      COD= 63

now, BOD= BOC++COD

                 = 54+63

                = 117

Arc length of BCD= 87/360*2πr

= 2.041r

2. minor arc:

arc BF= 126/360* 2πr

           = 2.198r

arc FE= 54/360*2πr

          = 0.942r

arc DE= 63/360*2πr

          = 1.099r

arc CD= 63/360*2πr= 1.099r

arc CDE=126/360*2πr

             = 2.198 r

3. major arc

 arc BFED= 243/360*2πr

                 = 4.239r

arc FBCD=  243/360*2πr

                 = 4.239r

arc DCBFE= 297/360*2πr

                  = 5.181r

arc CBFE= 234/360*2πr

               = 4.082r

4. 6 central angles

  BOC= 54= FOE

  COD=63=DOE

BOF=126

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Answer:

19.

Step-by-step explanation:

Let the number you think of be x, then:

x - 5 = 14.

x - 5 + 5 = 14 + 5

x = 19.

Answer:

136

Step-by-step explanation:

Answer:

There are infinite numbers that fit this range, but one is 11.5

Answer:

B and E are True.

Step-by-step explanation:

B 12.19 is a terminating decimal so it is rational.

E its a ratio of 2 integers so its rational.

A -  is  not repeating so this is false.

C. a perfect square is rational - 16 can be written as 16/1.

D. 6 is rational because it can be written as 6/1  not because its not a perfect square.

Answer:

father sends 7 more

19-12=7

Answer: 1.86 oz. per bag

Step-by-step explanation: First we add the amount of ounces from each ingredient. 20+11.1+15.4 = 46.5

Then we divide by 25 to find out how many ounces per bag. 46.5/25=1.86

Answer:

2.15 ounces

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.

From the question we are told that these amounts make 26 bags.

The number of ounces that are in each bag is calculated as:

26 bags = 55.9 ounces

1 bag = x ounces

Cross Multiply

26 bags × x ounces = 1 bag × 55.9 ounces

x ounces = 1 bag × 55.9 ounces/26 bags

x ounces = 2.15 ounces

Therefore, there are 1.94 ounces in each bag

Answer:

The line would be a solid line.

Step-by-step explanation:

To draw inequality graphs, solid lines represent [tex]\geq or \leq[/tex] and dotted lines show > or <. Hope this helps.

Answer:

D

Step-by-step explanation:

It makes the most sense

Answer:

33.5410196625 ????

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

I calculated and it's 10 I'm in car so I can't give the whole explanation

The area of the shaded region or portion in the circle is (25π - 24) cm².

The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.

Therefore,

area of the circle = πr²

where

area of a triangle = 1/ 2 bh

where

Therefore,

r = 5 cm

area of circle = 5²π = 25π cm

area of one triangle = 1 / 2 × 6 × 4 = 12 cm²

The area of the two triangles = 2(12) = 24 cm²

Hence,

area of the shaded portion = (25π - 24) cm²

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Answer:

50in^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2}(h)\\ \frac{10+10}{2}(5)[/tex]

Answer:

4:1

Step-by-step explanation:

There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't

A mean is an arithmetic average of a set of observations. The increase in the mean for the second week compared to the first is 0.4.

A mean is an arithmetic average of a set of observations. it is given by the formula,

[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]

Given the spending in the first week is $12.99, $10.50, $9.89, $6.90, and $7.58, therefore, the mean will be,

[tex]\rm (Mean)_1 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 }{5} = \$9.57[/tex]

Also, the spending in the second week is $2 more than the total of the first week, therefore, the mean will be

[tex]\rm (Mean)_2 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 + \$2}{5} = \$9.97[/tex]

Hence, the increase in the mean for the second week compared to the first is 0.4.

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The best estimate of the percentage of apples picked at the orchard in October that is damaged will be 6%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

An apple orchard's workers pick 12,500 apples in the month of October.

A sample of 500 of these apples shows that 30 of them are damaged.

Then the best estimate of the percentage of apples picked at the orchard in October that is damaged will be

P = 30/500 x 100

P = 6%

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A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The true statements about the cards are

Generally,  Probability is simply defined as the position or attribute of being likely.

In conclusion, The accurate assertions are: The total number of potential outcomes may be calculated using 52C5, and the chance of selecting five clubs is around 0.0005.

CQ

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply. The total possible outcomes can be found using 52C5. The total possible outcomes can be found using 52P5. The probability of choosing two diamonds and three hearts is 0.089. The probability of choosing five spades is roughly 0.05 The probability of choosing five clubs is roughly 0.0005.

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Answer:

A & D

Step-by-step explanation:

E2020 Geometry B!! :33