Using the graph, determine the equation of the axis of symmetry.​

Answer:

33.14 ft^2

Step-by-step explanation:

First find the area of the circle

The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft

A = pi r^2 = pi ( 10)^2 = 100 pi

The central angle is 38

That is a fraction of the circle, which is 360 degrees

38/360 = 19/180

Multiply the fraction of the circle by the area

19/180 * 100 pi

19/9 * 5 pi

Using 3.14 for pi

33.144444

To the nearest hundredth

33.14 ft^2

The area of the slice of pie that was cut, rounded to the nearest hundredth   33.14 ft^2.

We have to first find the area of the circle.

The diameter is 20 ft so the radius is 1/2 of the diameter of

20*1/2 = 10 ft.

The area of a circle [tex]A = \pi r^2[/tex]

By using the formula we have,

A= pi ( 10)^2

A = 100 pi

The central angle is 38.

That is a fraction of the circle, which is 360 degrees

38/360 = 19/180

Multiply the fraction of the circle by the area

19/180 * 100 pi

19/9 * 5 pi

Using 3.14 for pi

33.144444

To the nearest hundredth, it is 33.14 ft^2.

To learn more about the circle visit:

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Answer: 8/11

Step-by-step explanation:

This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.

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Explanation:

There are 16 working bulbs out of 6+16 = 22 bulbs total.

The probability of randomly selecting a working bulb is 16/22

After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.

So we get the answer of

(16/22)*(15/21) = 240/462 = 40/77 which is choice C.

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Extra info:

Step-by-step explanation:

starting pt.

root 16²+15²

= 256 + 225

=481

Answer:

75... but I don't see it down there

Step-by-step explanation:

equation:

0.5(120) = 0.8(x)

60 = 0.8x

60/8 = 0.1x

7.5 = 0.1x

x = 75

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Answer: 83 degrees

Step-by-step explanation:

(16^2 + 8^2 - 17^2)/(2)(16)(8) = 83

Answer:

Original number = 38

Step-by-step explanation:

10*x + y

x   = y - 5

10y + x = 2 (10x + y) +  7

10y + y - 5 = 2(10(y - 5) + y) + 7

11y - 5 = 2(10y - 50 + y ) + 7

11y - 5 = 2(11y - 50) + 7

11y - 5 = 22y - 100 + 7

11y - 5 = 22y - 93

11y + 88 = 22y

88 = 11y

y = 8

x = y - 5

x = 8 - 5

x = 3

So the original number is 38. Does that work?

3 is 5 less than 8.

83 = 2*38 + 7

83 = 76 + 7

83 = 83.         Yes it works.

Answer: 6 Painters

Step-by-step explanation:

Total painters needed to paint 7-room house = 3 painters

Rooms painted by each painter = 3/7

Total painters needed to paint 14-room house = 3/7×14

= 42/7

= 6 painters

Therefore it will require 6 painters to paint 14-room house

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2^2 + 2^2 = h^2

8 = h^2

√8 = h

h = 2.82mm

Answered by Gauthmath must click thanks and mark brainliest

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

[tex]\frac{3(3)}{14(3)}[/tex] + [tex]\frac{2(2)}{21(2)}[/tex] + [tex]\frac{1(7)}{6(7)}[/tex]

= [tex]\frac{9}{42}[/tex] + [tex]\frac{4}{42}[/tex] + [tex]\frac{7}{42}[/tex] ← add the numerators, leaving the denominator

= [tex]\frac{9+4+7}{42}[/tex]

= [tex]\frac{20}{42}[/tex] ← divide both values by 2

= [tex]\frac{10}{21}[/tex] ← in simplest form

Answer:

Not factarable, all terms must be in x. or y

Step-by-step explanation:

Answer:

m<PQR = 18.7°

Step-by-step explanation:

Apply the Law of Sines,

[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]

Where,

Sin A = Sin 140

a = 100 m

Sin B = Sin R (<PRQ)

b = 50 m

Substitute

[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]

Cross multiply

[tex] 100*Sin(R) = 50*Sin(140) [/tex]

Divide both sides by 100

[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]

[tex] Sin(R) = 0.32139 [/tex]

[tex] R = Sin^{-1}(0.32139) [/tex]

R ≈ 18.7° (nearest tenth)

m<PQR = 18.7°

The angle PRO is 1.7 degrees.

Given that,

The diagram shows three points P, Q, and R on horizontal ground.

PQ = 50 m, PR = 100 m and angle PQR = 140°.

We have to determine,

The angle PRO.

According to the question,

The value of angle PRO is determined by using the sin rule-following all the steps given below.

[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]

Where,  Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m

Substitute all the values in the formula,

[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]

Hence, The angle PRO is 1.7 degrees.

For more details refer to the link given below.

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Answer:

h = 41.52 feet

Step-by-step explanation:

The volume is π•radius²•height:

π•4²•h = 2087

16πh = 2087

h = 2087/16π

h ≈ 41.52 feet

Answer:

4/9

Step-by-step explanation:

negative exponent means 1/...

so, this is

(32/243)^(4/10) = (32/243)^(2/5)

that means to the power of 2 and then pulling the 5th root.

so, let's pull the 5th root first, and then we square

(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9

Answer:

2 packs of Burgers, 3 Packs of Buns

Answer:

He will need to buy 2 packs of burgers. And 3 packs of buns.

Step-by-step explanation:

The lowest common number that 12 and 8 Share is 24. 12×2=24 8×3=24

Answer:

Circumference is 43.982 cm

Step-by-step explanation:

[tex]circumference = 2\pi r \\ = (2 \times 3.14 \times 7) \\ = 43.982 \: cm[/tex]

[tex]{ \underline{ \tt{ ‡†‡ \: \: trent008}}}[/tex]

Answer:

60+14.35=88.27

Step-by-step explanation:

5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.

Answer:

P = 37.42478 A = 88.27

Answer:

84,3 ° Sureste

Step-by-step explanation:

El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.

La dirección del avión es la dirección de la velocidad resultante.

Si esta dirección es θ

θ = tan ^ -1 (400/40)

θ = 84,3 ° Sureste

9514 1404 393

Answer:

  9.23%

Step-by-step explanation:

The account balance for simple interest is given by ...

  A = P(1 +rt) . . . . . principal P invested for t years at rate r

  554 = 379(1 +r·5)

  554 = 379 + 1895r . . . . eliminate parentheses

  175 = 1895r . . . . . . . . . subtract 379

  r = 175/1895 ≈ 0.092348 ≈ 9.23%

Jennifer's account had an interest rate of about 9.23%.

Answer:

20

Step-by-step explanation:

we know,

n(aUb)=n(a)+n(b)-n(a∩b)

so,

80=40+60-n(a∩b)

or, 80-(40+60)=-n(a∩b)

or, -n(a∩b)=80-100

or, -n(a∩b)=-20

or, n(a∩b)=20

f(x)=3x²+x-3x-1

=x(3x+1)-(3x+1)

=(x-1)(3x+1)

Answer:

Step-by-step explanation:

Use Pythagorean's Theorem:

[tex]c^2=15^2+8^2[/tex] and

[tex]c^2=225+64[/tex] and

[tex]c^2=289[/tex] so

c = 17

Answer:

70.7 deg, 19.3 deg

Step-by-step explanation:

The sum of the measures of complementary angles is 90 deg.

One angle measures x.

The other angles measures 51.4 deg less than x, or x - 51.4.

The sum of their measures equals 90.

x + x - 51.4 = 90

2x - 51.4 = 90

2x = 141.4

x = 70.7

x - 51.4 = 70.7 - 51.4 = 19.3

Answer: 70.7 deg, 19.3 deg

Answer:

x = 45

Step-by-step explanation:

The angles labeled with the pink x are the same.  Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.

We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180

x+x+ 2x = 180

4x= 180

4x/4 = 180/4

x = 45

32 - 7 = 25/5 = 5

so, we have 5 products being purchased, since the 7 sec check-out doesn't count as product time.

hope it helps :)

Answer:

5 items

Step-by-step explanation:

32 - 7 = 25

25 / 5 = 5

This means that 5 items are being purchased.

Hope it helps c:

Answer:

The answer is Angle 4 and Angle 3.

Answer:

It's answer is angle 4 and angle 3

Answer:

x = 3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side / adj side

tan 30 = sqrt(3) / x

x tan 30 = sqrt(3)

x = sqrt(3) / tan 30

x =sqrt(3) / (1 / sqrt(3))

x = sqrt(3) * sqrt(3)

x = 3

Answer:

The sales tax rate is 5%.

Step-by-step explanation:

To determine the sales tax rate if you already know the amount of tax being added to the purchase price, divide the amount of tax by the purchase price. In this example, divide $1.29 (amount of tax being added) by $25.79 (purchase price). When you do that, you will see that the answer is 0.0500, or 5%.

Answer:

Here is your answer!

Answer:

can you translate in english,would be better...

answer maybe wrong because of the language but stil....

9x(2+6x+1)

=9x(9x)

81x..