In a circle if radius 12 feet is a central angle that intercepts an arc of length 6 yards . Find the radian measure of the central angle.

Answer:

5/6

Step-by-step explanation:

50/60 in simplest form is 5/6

You would divide both sides by 10

The simplified expression of the expression 50 to 60 is 5/6

From the question, we have the following parameters that can be used in our computation:

50 to 60

Express as equation

50 to 60 = 50/60

Divide 50 by 60

So, we have the following representation

50 to 60 = 5/6

Using the above as a guide, we have the following:

The expression cannot be further simplified

Hence, the simplified expression is 5/6

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Length of side of patio A = 12 yards

Area of patio A which is a square :

[tex] =\tt side \times side[/tex]

[tex] =\tt 12 \times 12[/tex]

[tex]\color{plum} = \tt144 \: {yards}^{2} [/tex]

Thus, Area of patio A = 144 yards²

Length of side of patio B = 6.1 yards

Area of patio B which is a square :

[tex] =\tt side \times side[/tex]

[tex] = \tt6.1 \times 6.1[/tex]

[tex]\color{plum} = \tt37.21 \: {yards}^{2} [/tex]

Length of side of the second patio B = 6.1 yards

Area of this patio :

[tex] =\tt 6.1 \times 6.1[/tex]

[tex]\color{plum} = \tt37.21 \: yards[/tex]

Total area of Patio B :

= Area of first patio B + Area of second patio B

[tex] =\tt 37.21 + 37.21[/tex]

[tex]\color{plum} = \tt74.42 \: {yards}^{2} [/tex]

Thus :

▪︎Area of patio A = 144 yards²

▪︎Area of patio B = 74.42 yards²

▪︎Therefore, the correct option is (a) 74.42

Answer:

1/3 is your awnser also what ur name in prodigy ill play with u im level 100

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]

5.3=15

2.3=6

[tex] \frac{6}{15} + \frac{5}{15} [/tex]

Answer:

d

Step-by-step explanation:

It is going at a steady rate of 30$ an hour

Total charges of the plumber depending on the number of hours he works is defined by the linear function T = 75 + 30h.

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

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Answer:

x = -8

Step-by-step explanation:

-2.5x - 2 = 18.

Add 2 to both sides.

-2.5x = 20.

Divide both sides by -2.5.

x = -8

Answer:

437/471

Step-by-step explanation:

would consider downloading photomath

Answer:

160 ounces

Step-by-step explanation:

In each pound, there are 16 ounces.

Therefore we can do 10*16=160

Answer: she weighs 160 ounces. just do 10x16

Answer:

So I am assuming that you are wanting what a single t is. Well, here you go.

t=(s-5)/8

Step-by-step explanation:

8t=s-5

t=(s-5)/8

Hope this helps! ;)

Answer:

Yes, Shelby is correct.

Step-by-step explanation:

Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.

Answer:

C)1 h 05 min

Step-by-step explanation:

If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1 h 05 min

The journey time is calculated as:

Arrival time - Departure time

= 04:50 - 03:45

= 01:05

Therefore, the journey time = 1 hr 05 minutes

Option C is correct

Answer:

20.25 per cup because 81÷4= 20.25 then

1) read the label=81 per 4-cups

2) 20.25x4=82 calories

Step-by-step explanation:

hope this helps :D

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

8.88=−2.22(x−7)

Step 1: Simplify both sides of the equation.

8.88=−2.22(x−7)

8.88=(−2.22)(x)+(−2.22)(−7)    (Distribute)

8.88=−2.22x+15.54

Step 2: Flip the equation.

−2.22x+15.54=8.88

Step 3: Subtract 15.54 from both sides.

−2.22x+15.54−15.54=8.88−15.54

−2.22x=−6.66

Step 4: Divide both sides by -2.22.

−2.22x /−2.22

=

−6.66 /−2.22

x=3

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.

Step-by-step explanation:

in other words is like x,y,z or any other letters

Answer:

First, we need to find the slope of this line.

Slope is defined as rise over run, or change in y over change in x. We find two  points on this line, and see that the slope is -4.

Then, we find the y-intercept, which in this case is 0.

Using slope intercept form, our answer is y=-4x

Let me know if this helps!

Answer:

y=-4x

Step-by-step explanation:

so the line goes down 4 evey 1 right so the slope is -4 and it goes through the y axis at 0 so the y intercoept is 0

f (x) = (x-1) (x+3)..........................................less the periods

Answer:

E

Step-by-step explanation:

Answer:

d and e

Step-by-step explanation:

for them to be possible side lengths of a triangle the two shorter sides added together have to be greater than the longest side and an answer D and e 6 + 4 is greater than 9 and 5 + 5 is greater than 9 to so those are possible side lengths

Answer:

Survey 100 residents who have pets completely randomly

Step-by-step explanation:

The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.

Answer

B

203.403

Cancel terms that are in both the numerator and denominator

( 2 1 0 0 ) + ( 3 1 ) + ( 4 1/1 0 ) + ( 3 1/1 0 0 0 )

( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )

Solution

( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )

Answer:

Step-by-step explanation:

Remark

The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.

If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)

So, let's go.

Givens

1/2 of ST = 1/2 32 = 16

12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.

Solution

KT^2 = 16^2 + 12^2

KT^2 = 256 + 144

KT^2 = 400

KT = sqrt(400)

KT = 20

RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.

Answer:

19

Step-by-step explanation:

D=2r

D = 2(9.5)

   = 19

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In the point (4,3), the 4 is x and 3 is y. The x-axis is the bottom line so go up 4 and the vertical line is the y-axis so go right 3. The point where they meet is B.

Hope it helps!

Answer:

the transfer of energy ( I think)

Sound wave

Transverse wave

I'm sorry if I got it wrong...

Answer:

r=8

the angle measurement is 95.

Step-by-step explanation:

Well, those angles would be the same, so you set them equal to each other.

95=6r+47

then solve it.

6r=48

r=8

Answer:

Translation?

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

There are 3 outliers. 13, 82, 83. These outliers are marginally off by the rest of the set.

There is one outlier in the data. The value of outlier is 13.

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. It is a value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. The outliers can be found from median and quartile range.

For the given situation,

The heights of trees(in inches) are 13, 82, 83, 95, 92, 98, 96.

Arrange them in ascending order,

⇒ [tex]13, 82, 83, 92, 95, 96, 98[/tex]

Here, median = 95

So, first quartile Q₁ = 82

third quartile, Q₃ = 96

Interquartile range, IQR = Q₃ - Q₁

⇒ [tex]96-82[/tex]

⇒ [tex]14[/tex]

Now, [tex]IQR(1.5)=14(1.5)[/tex]

⇒ [tex]21[/tex]

Then, high value = Q₃+1.5 IQR

⇒ [tex]96+21[/tex]

⇒ [tex]117[/tex]

Low value = Q₁-1.5 IQR

⇒ [tex]82-21[/tex]

⇒ [tex]61[/tex]

From the data, the value of outlier should lie less than 61 and greater than 117.

Hence we can conclude that there is one outlier in the data. The value of outlier is 13.

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Answer: -4293764

Step-by-step explanation:

Answer:69,78

Step-by-step explanation: 43*33=1,419

1,419/89=15,94

15,94*34=541,96

541,96/09=60,22

64+66=130

130-60.22=69,78

Answer:

2 moves

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Let the side of the larger box be x, then the side of the smaller box is 0.3x.

Their volumes are:

The difference in volumes:

b) The sides are 20 in and 20*0.3 = 6 in

c) The other two boxes with sides x and 0.75x

Sum of the volumes:

Sides of the boxes are 12 in and 12*0.75 = 9 in