What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π

Answer:

1. 392 in², 2. 94.99 cm², 3. 145.2 ft², 4. 161.5 m², 5. 17 ft and 81 cm

Step-by-step explanation:

1. A = 16 x 19

A = 304

A = 1/2(11x16)
A = 1/2(176)
A = 88
304 + 88 = 392 in²

2. A = πr²
A = 3.14*5.5²
A = 3.14*30.25
A = 94.985
A = 94.99 cm²

3. A = 1/2(bh)
A = 1/2(11x26.4)
A = 1/2(290.4)
A = 145.2 ft²

4. A = bh
A = 9.5*17
A = 161.5 m²

5. part 1
A = (1/2) · (p + q) · h

112 = (1/2)(11+q)(8)
112 = 4(11+q)
112 = 44 + 4q
68 = 4q
17 = q

17 ft

5. part 2
A = lw
364.5 = 27w
13.5 = w
P = 2l + 2w
P = 2(27) + 2(13.5)
P = 54 + 27
P = 81
81 cm

Hope this helps :)

Answer:

y:  13, 22, 25, 28

ordered pairs: (3, 13)  (6, 22)  (7, 25)  (8, 28)

Step-by-step explanation:

Given:

To find the y-values, substitute the x-values into the function and solve.

when x = 3

y = 3(3) + 4

  = 9 + 4

  = 13

when x = 6

y = 3(6) + 4

   = 18 + 4

   = 22

when x = 7

y = 3(7) + 4

   = 21 + 4

   = 25

when x = 8

y = 3(8) + 4

  = 24 + 4

  = 28

Therefore, the ordered pairs are;  (3, 13)  (6, 22)  (7, 25)  (8, 28)

The geometric mean of 18 and 30 is the product of 18 and 30 square rooted, so:

      [tex]\sqrt{18*30} =\sqrt{540} =\sqrt{9*4*15} =\sqrt{36*15} =6\sqrt{15}[/tex]

Hope that helps!

5x² + x - 6 = 0

Δ = 1² - 4*5*(-6) = 121 = 11²

x' = (-1 - 11) / (2x5) = -12/10 = - 6/5

x" = (-1 + 11) / (2x5) = 10/10 = 1

=> D

The values of x will the function [tex]f (x) = 5x^2 + x - 6[/tex] equal zero are x = - 6/5 and x = 1. Hence option D is true.

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Example; ax² + bx + c = 0

Given that the quadratic equation,

[tex]f (x) = 5x^2 + x - 6[/tex]

Now for the values of x at which the function equals zero, we have to find the zeroes of the function by using the factorization method.

[tex]f (x) = 5x^2 + x - 6[/tex]

[tex]f (x) = 5x^2 + (6 - 5)x - 6[/tex]

[tex]f (x) = 5x^2 + 6x - 5x - 6[/tex]

[tex]f (x) = x (5x + 6) - 1 (5x + 6)[/tex]

[tex]f (x) = (5x + 6) (x - 1)[/tex]

Hence, the value of zeroes,

[tex]5x + 6 = 0[/tex]

[tex]5x = - 6[/tex]

[tex]x = \dfrac{- 6}{5}[/tex]

And, [tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

So, the value of x is x = - 6/5 and x = 1. Hence option D is true.

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Answer:

y - 2 = 6 (x - 1)

Step-by-step explanation:

Slope intercept form equations look like this:

y - y1 = m (x - x1)

***m = [tex]\frac{y2-y1}{x2-x1}[/tex]

Using the point (1,2), we know that x1 = 1 and y1 = 2. Let's sub these values into the slope intercept equation:

y - 2 = m (x - 1)

To complete this equation, we need to find slope. Pick out another point on the graph and plug into the slope equation. We can use point (2,8), where (1,2) = Point 1 and (2,8) = Point 2.

[tex]\frac{y2-y1}{x2-x1}=\frac{8-2}{2-1} =\frac{6}{1} =6[/tex]

Now that we know m = 6, let's plug that back into the original equation to get our final answer:

y - 2 = 6 (x - 1)            

I hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's see ~

[tex]\qquad \sf  \dashrightarrow \:j + j + 2k[/tex]

[tex]\qquad \sf  \dashrightarrow \:2j + 2k[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(j + k)[/tex]

・．━━━━━━━━━━†━━━━━━━━━━━━．・

Answer:

x=140(corresponding angle)

Corresponding angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal

The 140° angle on line m and the x° angle on line n are corresponding angles.

The value of x is 140°

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The figure is given,

Line m and Line n are parallel.

t line is the transversal line on the two parallel lines, line m and line n.

We see that,

140° angle on line m is corresponding to the x° angle on line n.

Corresponding angles are equal.

So,

140° = x°

x° = 140°

Thus,

The 140° angle on line m and the x° angle on line n are corresponding angles.

The value of x is 140°

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The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

The surface area of the hexagonal prism is calculated using:

A = 6al + 3[tex]\sqrt[/tex]3 a^2

Where:

a represents the edge length; a = 4 cm

l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3[tex]\sqrt[/tex]3 a^2]

The maximum cost is $11.

So, the equation becomes

11 = 0.04 * [6al + 3[tex]\sqrt[/tex]3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3[tex]\sqrt[/tex]3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48[tex]\sqrt[/tex]3]

Divide both sides by 0.04

275 = 24l + 48[tex]\sqrt[/tex]3

Subtract 48[tex]\sqrt[/tex]3 from both sides

24l = 275 - 48[tex]\sqrt[/tex]3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm

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Answer:

275, 7.99

Step-by-step explanation:

i got it right

and please get me too branliest

Answer:

4/5

Step-by-step explanation:

5/5 - 1/5 = 4/5 is the probability that a person does not live in an industrialized country

The P( person does not lives in an industrialized country ) = 4/5

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

P( person lives in an industrialized country ) = 1/5

Now, using the Completement probability

P ( person lives in an industrialized country )  + P( person does not lives in an industrialized country ) = 1

P( person does not lives in an industrialized country )

= 1- P ( person lives in an industrialized country )

P( person does not lives in an industrialized country )

= 1- 1/5

= 4/5

Hence, P( person does not lives in an industrialized country ) = 4/5.

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Answer:

Step-by-step explanation:

To solve this problem, you have to combine like terms of x and b from one side of the equation.

Combine like terms.

3(2x+5b)+4x-2x-4b+6

Solve.

4x-2x=2x

Rewrite the problem down.

3(2x+5b)+2x-4b+6

Expand the form.

Use a distributive property.

Distributive property:

A(B+C)=AB+AC

3(2x+5b)

Multiply.

3*2x=6x

3*5b=15b

Rewrite the problem.

6x+15b

6x+15b+2x-4b+6

Combine like terms.

6x+2x+15b-4b+6

Add the numbers from left to right.

6x+2x=8x

8x+15b-4b+6

Then, you add again.

15b-4b=11b

= 8x+11b+6

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

8x+11b+6

Step-by-step explanation:

The measure of angle A in the kite before cutting the fabric is 42 degrees.

A kite is a quadrilateral with four sides and four angles. Adjacent sides are equal, and the diagonals bisect each other at 90 degrees.

Also, there is a pair of equal opposite angles.

From the diagram:

110 + (6x + 4) + (4x + 26) = 180 (sum of angles in a straight line)

10x + 30 = 70

x = 4

∠A = 4(4) + 26 = 42°

The measure of angle A in the kite before cutting the fabric is 42 degrees.

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Using proportions, it is found that the desired amounts are given as follows:

a) 360 businesses employeed no women.

b) 41% of the businesses surveyed employed exactly one female supervisor.

c) 15.58% of the businesses surveyed employed no female supervisors.

d) 80.5% probability that it employed at least one female supervisor.

A proportion is a fraction of a total amount.

Item a:

18% out of the 2000 businesses surveyed, hence:

n = 0.18 x 2000 = 360.

Item b:

50% out of 82%, hence:

p = 0.5(0.82) = 0.41.

41% of the businesses surveyed employed exactly one female supervisor.

Item c:

19% out of 82%, hence:

p = 0.19(0.82) = 0.1558.

15.58% of the businesses surveyed employed no female supervisors.

Item d:

100 - 19.5 = 80.5% probability that it employed at least one female supervisor.

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Answer:

Step-by-step explanation:

3^(n-1) * (n(n+1)/2 = 20412

The n(n +1)/2 is a factorial which is defined for integers so we are looking for a whole number solution.

We could draw a graph manually or using software and get the solution where the graph cuts the  x axis.

Also we could find the prime  factors of 20412:

20412 = 2^2 * 3^6  * 7

and try substituting 2, 3 and 7 into the equation

Using this method we see that one solution is n = 7.

I could have tried  n = 7 first because  3^n-1 = 3^6!!

24

Explanation:

R = D + 12 (1)

D = B + 6 (2)

R = 2*B (3)

Put (3) into (1): 2*B = D + 12 (4)

Rewrite (2) as B = D - 6 and put this into (4): 2*(D - 6) = D + 12

So: 2D - 12 = D + 12

Subtract D from both sides and add 12 to both sides to get: D = 24

(not suree)

Answer:

2.082.

Step-by-step explanation:

Solution,

Given,

Area ( A ) = 26.025 m².

Length ( L ) = 12.5 m.

Now,

Breadth ( B ) = Area ÷ Length.

= 26.025 ÷ 12.5

= 2.082.

Thus, The breadth of the room is 2.082 m.

Answer:

⅙

Step-by-step explanation:

it could be 6 and 1, 5 and 2, 4 and 3, 3 and 4, 2 and 5 or 1 and 6.

It is 2 fair dice, so all together, the probability is 36.

6/36 can be simplified to ⅙

Answer:

Step-by-step explanation:

The last one.

A would be a quadratic if the leading coefficient was anything but 0. 0 eleminates the x^2. Not A

B has no x^2 term to begin with. B is not the answer.

C is in exponential form. C is not the answer

D has an x^2 term. There is nothing using x that is higher. D is the answer.

What is 2/5 of 15?

Want to quickly learn or show students how to convert 2/5 of 15? Play this very quick and fun video now!

How to Calculate the Fraction of a Whole Number

  How to Calculate the Fraction of a Whole Number

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

15

1

So now that we've converted 15 into a fraction, to work out the answer, we put the fraction 2/5 side by side with our new fraction, 15/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

2 x 15

5 x 1

=

30

5

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 5 is 5.

We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.

30/5 = 6

5/5 = 1

When we put that together, we can see that our complete answer is:

6

1

The complete and simplified answer to the question what is 2/5 of 15 is:

6

hope this helps

Missing number is 6

Set up the proportion

[tex] \frac{2}{5} = \frac{x}{15} [/tex]

Cross multiply to get 5x=30.

Divide both sides by 30 to get the answer

5x÷5=30÷5

x=6

Answer:

C

Step-by-step explanation:

There are 4 aces and 4 sixes. 4 + 4 is 8 (since it says or) so the chance is 8 / 52. 8 / 52 simplified, divide both sides by 4 and you get 2 / 13.

Answer:

C

Step-by-step explanation:

there are 4 aces and 4 sixes in a deck of 52 cards.

"And" means a probability * another probability

"Or" means a probability + another probability.

In this case, it is (probability of picking an ace) + (probability of picking an six).

[tex]\frac{4}{54} + \frac{4}{54} = \frac{8}{54} = \frac{2}{13}[/tex]

Please pick as brainliest!

The distance run by each of the seven students is 1/14 miles.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

In order to determine the distance run by each student, we would divided the total miles by the number of students.

Miles run by each student = 1/2÷ 7

1/2 x 1/7 = 1/14 miles

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Answer:

8490.56 yd^2

Step-by-step explanation:

find radius by dividing 104 by 2

we get 52 yd

now the area of circle is [tex]\pi r^{2}[/tex]

we use 3.14 for pi

so 3.14 times 52*52

3.14 times 2704

8490.56

Answer:

volume = 527.52 in³

volume increased by 30% = 685.776 in³

Step-by-step explanation:

Volume of a cone

[tex]V=\dfrac13\pi r^2h[/tex]

(where r is the radius and h is the height)

Given:

[tex]\implies V=\dfrac13 \cdot 3.14 \cdot 6^2 \cdot 14[/tex]

[tex]\implies V=527.52 \ \sf in^3[/tex]

---------------------------------------------------------------------------

If the volume increases by 30% then it will now be 130% of the original volume.

130% as a decimal = 130/100 = 1.3

Therefore, to find the new volume, multiply the original volume by 1.3.

[tex]\implies V=527.52 \cdot 1.3[/tex]

[tex]\implies V=685.776 \ \sf in^3[/tex]

slope is = (13 - 8) / (17 - 7) = 5/10 = 1/2 or 0,5

slope for A (xa ; ya) and B (xb ; yb) = (yb - ya) / (xb - xa)

Answer: Here, this should help ya out :

With graphing lines and slopes use desmos graphing calulator dont worry, its safe ;)

Answer:

See below ↓

Step-by-step explanation:

Step 1 : Mark the y-intercept.

Step 2 : Draw the slope.

Answer:

Melanie: y = 0.25x

Patrick: y = 0.03x + 5

Patrick's service is cheaper when 50 texts are sent or received in one month.

Step-by-step explanation:

Let's find out Melanie's monthly texting cost function using the table. We are given multiple points that the line describing her monthly text costs passes through, so we can use the slope formula to calculate the slope of this line first.

Substitute (5, 1.25) and (10, 2.50) into this formula.

Now we can use the point-slope equation to determine the line that describes Melanie's monthly texting cost.

I'm going to use the point (5, 1.25) and the slope m = 0.25.

We have Melanie's function:

We have Patrick's function:

We want to determine which service is cheaper when 50 texts are sent/received in one month.

The number of texts sent and received is represented with the variable "x", and the cost of this service is represented with the variable "y".

All we need to do is substitute 50 for x in both equations to see if Melanie or Patrick's service is cheaper.

Starting with Melanie:

Now with Patrick:

Patrick's service is substantially cheaper than Melanie's service when 50 texts are sent or received in one month.

Answer:

#10=462

#11=240

Step-by-step explanation:

22x21=462

16x15=240

Eman's unit rate given the miles he skateboarded and the hours is 12 miles per hour.

The unit rate is the same as average speed. Average speed is the total distance travelled per time. The unit rate can be determined by dividing the distance by the time.

Average speed = total distance / total time

24/2 = 12 miles per hour

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