Find the area of each sector. Round your answers to the nearest tenth.

Answer:

10.7

Step-by-step explanation:

This is because the answer is 10.681415022205297 which is 10.68, but if you round up you get 10.7.

Have a great day! :D

Answer:

circumference = 10.7 mm

Step-by-step explanation:

circumference of a circle = 2\(\pi\)r

(where r is the radius)

Given:

⇒ circumference = 2 x 3.14 x 1.7 = 10.676 = 10.7 mm (nearest tenth)

Answer:

Step-by-step explanation:

Answer:

my answer is 23.49

Step-by-step explanation:

you will use sin rule

you can also find the angle for Z because angles in a triangle add up to 180

then use sin rule

25/sin 70=x/sin 62

then substitute for x

Answer:

3,266.53

Step-by-step explanation:

Rounded to the nearest hundreth thousandths

70 mL=25% alcohol

?mL=90% alcohol

90×70÷25

=252 mL

I think do like this....I'm not sure

Hope this help you

9514 1404 393

Answer:

  420 mL

Step-by-step explanation:

Let x represent the amount of the 95% solution needed in the mixture. The the total amount of alcohol in the mixture is ...

  0.25×70 + 0.95(x) = 0.85(70 +x)

  0.10x = 42 . . . . . . . . subtract 17.5+0.85x

  x = 420 . . . . . . . . divide by 0.10

You will need 420 mL of the 95% solution.

__

Additional comment

There will be 70+420 = 490 mL of solution, of which 85%, or 0.85×490 = 416.5 ml is alcohol. That alcohol is the total of 0.25×70 = 17.5 mL of alcohol from the 25% solution and 0.95×420 = 399 mL of alcohol from the added 95% solution. (17.5 +399 = 416.5)

Answer:

P(not Yellow) = 80%

Step-by-step explanation:

Total Balls in the Bag is (Smaple Space) = 20

Number of yellow balls in the bag (y) = 4

So,

P(not yellow) = (20 - 4)/20

                      = 16/20 = 0.8 = 80%

Answer:

4/5

Step-by-step explana

im vv smart

Answer:

\(\frac{1}{(x+1)(x-2)}\)

Step-by-step explanation:

\(\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}\)

Answer:

D. 1/(x+1)(x-2)

Step-by-step explanation:

i looked it up on a simplifier :)

Answer:

132 sq ft

Step-by-step explanation:

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

badge showing an astronaut's boot touching down on the moon.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

144 cm

Step-by-step explanation:

54 is one of the heights, so there would be a solid dot on 54. Because you need to be taller, the arrow would point to the right from the solid dot at 54 inches.

The correct graph is C ( the third one down)

The graph that represents the set of heights that satisfy this requirement is the third graph.

The requirment is that the heights of the people who ride the roller coaster should be at least 54 inches. This means that the height of the riders can be 54, 55, 100 0r 120.

Thus the graph that represents this is the graph that has a coloured circle on 54 and extends to number greater than 54.

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

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Each of the equations should be matched with the value of x that makes them true as follows:

x = 2; x + 2x + 3 = 9, 5(x + 3) = 25, and 4x − (2x + 1) = 3.

x = 3; 2(2x − 3) = 6, 5x - 2x - 4 = 5, and 5x − (3x − 1) = 7.

In order to determine which x-values are true solutions based on the given equations, we would have to test each of the values of x by substituting them into the equations as follows;

When x = 2, we have:

2(2x − 3) = 6

4x − 6 = 6

4(2) - 6 = 6

8 - 6 = 6

2 = 6 (False).

When x = 3, we have:

2(2x − 3) = 6

4x − 6 = 6

4(3) - 6 = 6

12 - 6 = 6

6 = 6 (True).

When x = 2, we have:

5x - 2x - 4 = 5

3x - 4 = 5

3(2) - 4 = 5

6 - 4 = 5

1 = 5 (False).

When x = 3, we have:

5x - 2x - 4 = 5

3x - 4 = 5

3(3) - 4 = 5

9 - 4 = 5

5 = 5 (True).

When x = 2, we have:

x + 2x + 3 = 9

3x + 3 = 9

3(2) + 3 = 12

9 = 12 (False).

When x = 3, we have:

x + 2x + 3 = 9

3x + 3 = 9

3(3) + 3 = 12

12 = 12 (True).

5(x + 3) = 25

5x + 15 = 25

5x = 25 - 15

5x = 10

x = 2 (True).

4x − (2x + 1) = 3

4x - 2x - 1 = 3

2x = 3 + 1

2x = 4

x = 2 (True).

5x − (3x − 1) = 7

5x - 3x + 1 = 7

2x = 7 - 1

2x = 6

x = 3 (True).

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Answer:

  B.  6 2/3

Step-by-step explanation:

After subtracting the width of the picture from the width of the wall, we find the length of the space to be ...

  14 5/6 - 1 1/2 = (14 -1) +(5/6 -3/6) = 13 2/6 . . . feet

Dividing that space in half gives ...

  (13 2/6)/2 = (13/2) +(2/6)/2

  = 6 1/2 +1/6 = 6 3/6 + 1/6

  = 6 4/6 = 6 2/3 . . . . feet

The space on either side of the picture is 6 2/3 feet.

Answer:

17 is the answer

Step-by-step explanation

Answer:

17

Step-by-step explanation:

This is order of operation so you use bidmas (brackets, indicies,  division /multiplacation, subtraction/addition). You go from left to right so if there is both a multiplication factor in your equation you go from left to right.

37 - 6 * 4 + 32 / 8

= 37 - 24 + 32/8

= 37 - 24 + 32/8

= 37 - 24 + 4

= 13+4

= 17

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

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The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

4.8x10

Step-by-step explanation:

Answer:

\(f(x) = 2*2^x + 3\)

Step-by-step explanation:

The model for an exponencial function is:

\(f(x) = a*b^x + c\)

'c' is the value of the asymptote, so we have c = 3.

To find the value of 'a', let's use the point (0,5):

\(5 = a*b^0 + 3\)

\(5 = a*1 + 3\)

\(a = 2\)

Now, to find the value of 'b', let's use the point (1, 7):

\(7 = 2 * b^1 + 3\)

\(7 = 2b + 3\)

\(2b = 4\)

\(b = 2\)

So our function is:

\(f(x) = 2*2^x + 3\)

Let's check if the point (-1, 4) is inside our function:

\(4 = 2 * 2^{-1} + 3\)

\(4 = 1 + 3\)

\(4 = 4\ (correct)\)

Answer: 475 adults paid admission

Step-by-step explanation:

1.50c+4a=5050 (1.50 per child and 4 per adult)

1.50(2100)+4c=5050 (2100 children times 1.5 each)

3130+4a=5050

4a=1900

a=475

Answer:

23

Step-by-step explanation:

I hope this helped and if I'm wrong I apologize

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

M=5+20

Step-by-step explanation:

I’m using M for representing Micah’s age.

This would represent Micah’s age because it says that Micah is 20 years older than Jackson, who is 5. Therefore, you would just need to add 5 and 20 together. Micah is 25 years old.

9514 1404 393

Answer:

  A.  6

Step-by-step explanation:

The wording "set A and set B" means you're interested in elements that belong only to both. In your diagram, that is Region II. There are 6 elements that belong to A and B.

  AB = 6

_____

Additional comment

"A and B" is also called the "intersection" of the two sets: A ∩ B.

The number you have chosen is the number in Regions I, II, and III. That is the set of elements that belong to A or B. You have identified the "union" of the two sets: A ∪ B. (It might also be represented as A+B.)

Answer:15

Step-by-step explanation: 20 divided by 8=2.5 x 6=15