find (a) the arc length and (b) the area of a sector.

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:

50in^2

Step-by-step explanation:

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

Answer:

The diameter is about 13.55m

Step-by-step explanation:

Calculator

Factor 2x from 6x².

2x (3x)+14x

Factor 2x from 14x.

2x (3x) + 2x (7)

Factor 2x from 2x (3x) + 2x (7).

2x(3x+7) ====> Answers

Answer:

(2x)(3x + 7)

Step-by-step explanation:

Hello!

We can factor this expression by taking out the GCF of both the terms.

The GCF is 2x, because it is the largest factor that is in common between 6x² and 14x

The factored expression is (2x)(3x + 7)

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

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:

q 3 = 3/12.2/9 q4 = 15/40.14/39

Probability helps us to know the chances of an event occurring. The probability of getting a double card in a row is 0.311.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of drawing a single double turn card for the first time, therefore,

Probability = 29/52

Further, given the card is replaced and reshuffled, therefore, the probability of getting a double card again will be,

Probability = 29/52

Thus, the probability of getting a double card in a row can be written as,

Probability = (29/52)×(29/52) = 0.311

Hence, the probability of getting a double card in a row is 0.311.

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Answer:

The answers should be b=44°

Step-by-step explanation:

b=180°–90°–a

b=180°–90°–46°

b=44°

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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Answer:

8+2w=y

Step-by-step explanation:

Answer:

4 and 3/4 is the 5th shortest piece

a third of 4 and 3/4 is 1 and 7/12

the answer is: 1   7/12  in.

Step-by-step explanation:

4 and 3/4 is 19/4

19/4 divided 3 is 19/4 *1/3 = 19/12 = 1 7/12

Answer:

[8] Area is = to 1017.36            Circumference is = to 113.04

[9] Area is = 490.625             Circumference is = 78.5

[10] D  = 16                                R = 8

Step-by-step explanation:

[8]

Area is = to 1017.36

Circumference is = to 113.04

Formula:

Area = πr²

Circumference = 2πr

Solve:

A =  πr²

A = 3.14(18) ²

A = 3.14(324)

A = 1017.36

C= 2πr

C = 2(3.14)(18)

C = 113.04

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Area = 490.625

Circumference is = 78.5

Formula:

Area = πr²

Circumference = 2πr

Solve:

Area = πr²

A = 3.14(12.5)²

A = 3.14(156.25)

A = 490.625

Circumference = 2πr

C = 2(3.14)(12.5)

C = 78.5

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[10]

Circle area = π * r² = π * 64 [cm²] ≈ 201.06 [cm²]

π ≈ 3.14159265 ≈ 3.14

d = r * 2 = 8 [cm] * 2 = 16 [cm]

Hence,

D  = 16

R = 8

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Kavinsky

Answer: 39.34

Step-by-step explanation:

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:

The measures for the given angles B and E are 12° .

Triangles are similar when the correspondent angles and the ratio of correspondent sides are equal. Also, it must present the same shape, but it is not mandatory the same dimension.

Like the triangles are similar,  ∠B=∠E. Then,

∠B=∠E

3y=6y-12

3y-6y=-12

-3y=-12

y=4

You can write too:

AC=DF

7a+5=5a+9

7a-5a=9-5

2a=4

a=2

Therefore,

∠B=3y= 3* 4 =12

m∠E=6y-12=6*4-12=21-12=12

AC=7a+5= 7*2+5=14+5=19

DF=5a+9=5*2+9=10+9=19

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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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The quadratic model that represents the data will be A. -16x² - 99x + 6.

It should be noted that a quadratic model simply means a model that is represented by a quadratic equation in the form of y = ax² + bx + c.

From the complete question, the quadratic model that represents the data will be -16x² - 99x + 6.

In conclusion, the correct option is A.

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Answer:

Step-by-step explanation:

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.

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

Answer:

D

Step-by-step explanation:

It makes the most sense

The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2

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

The linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hence:

Price of each comb = (x/2) / x = 0.5

The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2

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Answer: B. $0.50

Step-by-step explanation:

Took the Test/Exam

---Divide the numerator and denominator by 4. We do this because we want to know how many orders are in 1 day and 4 / 4 = 1.

392 orders / 4 days

98 orders / 1 day

Hope this helps!

Answer:

66 inches

Step-by-step explanation:

perimeter = 2(l+b)

here, perimeter is 50 and length is 17

let the width be x,

=>    50 = 2(17+x)

=>    50 = (2*17)+(2*x)

=>    50 = 34 + 2x

=>    50 - 34 = 2x                      [transposing method]

=>    16 = 2x

=>    16/2 = x

=>     8 = x

8 inches = width of the first triangle

we know, the other rectangle's length is 17

and it is said that the width is twice the width of the first triangle

so the length = 17, width = 2*8 = 16

for the perimeter

p = 2(l+b),

=>       p =  2(17+16)

=>       p =  (2*17)+(2*16)

=>       p =   34+32

=>       p  =   66

          so the perimeter of the other rectangle is 66

Answer:

66

Step-by-step explanation:

that answer was incorrect. change your answer and try again!

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:

0.13

Step-by-step explanation:

2/3×1/5 = 0.13

The probability of exactly 3 of the containers being defective is given as 0.1468

We have to set p as the  probability of container being non- defective

We have p as the  probability of container being defective 50 - 10 = 40

p = 40/50

= 0.8

q = 10/50

= 0.2

P(3) = 8c3 * 0.2² * 0.8⁵

= 0.1468

Hence the probability that the container has exactly 3 defective containers is 0.1468

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Answer:

Upward

Step-by-step explanation:

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