Find the value of x.
x = [?]​

Step-by-step explanation:

the circumference of a complete circle (360°) is

2×pi×r

in our case

2×pi×3 = 6pi (= 18.84955592... ft)

5 ft is now what fraction of the whole circumference ?

because the corresponding arc angle is the same fraction of 360°.

5 ft are 5/(6pi) of the whole circumference.

so, the arc angle AB is

5/(6pi) × 360 = 5×60/pi = 300/pi = 95.49296586...°

but maybe you need the angle in radians instead of degrees ?

then remember, 360° = 2pi radians.

and then the arc angle AB is

5/(6pi) × 2pi = 10/6 = 5/3 = 1.666666... radians.

[tex]\qquad\qquad\qquad\boxed{\bf\:\:{(c) \: 31.4 \: cm \: ans \: }}[/tex]

Explanation -:

The diameter is = 10 cm

( Take π = 3.14 )

[tex] \\ \: \tt :\implies \: 10 \: \times 3.14 \\ \\ 31.4 \: ans[/tex]

More Information -:

Answer:

2 and -4 :) because -2×4=-8, and 4+(-2)=2. Solve x-2=0 and x+4=0, you get the answer I previously mentioned!

Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 2 and (a, b ) = (- 2, 1 ) , then

y - 1 = 2(x - (- 2)) , that is

y - 1 = 2(x + 2)

Answer:

Step-by-step explanation:

Let the distance between police station and the fire station be x.

According to question we have:

It can be expressed as:

Solve the equation for x:

Correct choice is C

Answer:

1/2

Step-by-step explanation:

There are 3 numbers greater than 2: 3, 4, 5, and 6. There are 6 numbers, so it is 3/6=1/2.

Answer:

$16.30

Step-by-step explanation:

Hope this helps! Have a great day!!

The cost of 163 text messages is $16.3

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Given:

price for 28 text messages = 2.80

So, price for 1 text messages = 2.80/ 28

                                                = $ 0.1

Now, the price for 163 messages = 163 * 0.1

                                                       = $16.3

Hence, the price for 163 text messages be $16.30.

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Answer:

A.

Step-by-step explanation:

For the x value (6) there are two different output values(y) 5 and 6.

If it's a function then there must be one output value for every input.

Answer:

$164.66

Step-by-step explanation:

Just subtract them from each other

Answer:

72 degrees 72° Celsius. It changed by 72 degrees.

Step-by-step explanation:

6 * 12 because it changed 6 degrees each hour for 12 hours

6 *

12

—-

72

Answer:

72 degree Celsius

Step-by-step explanation:

Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:

6 * 12 = 72

Answer:

A. 17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5) + 2

= 15 +2

= 17

Answer:

1 unit on the map is equivalent to 10 000 on the ground or reality

Number of unmarked wolves: 928 - 232 = 696

probability of next wolf being unmarked = 696 / 928 = 0.75

0.75 x 100 = 75%

Answer: 75%

Answer:

Θ ≈11.31°

Step-by-step explanation:

the model is a right triangle with side opposite being the height and side adjacent the horizontal length , in relation to angle Θ , then

using the tangent ration

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{20}[/tex] , then

Θ = [tex]tan^{-1}[/tex] ( [tex]\frac{4}{20}[/tex] ) ≈ 11.31° ( to 2 dec. places )

There are 2118760 ways to select 5 patients from 50 patients.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

Here, Total patients= 50

         Number of selection is to made = 5

So, total ways of selection = ⁵⁰C₅

                                           = (50X49X48X47X46) / (5X4X3X2X1)

                                          = 2118760 ways

Thus, There are 2118760 ways to select 5 patients from 50 patients.

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Answer:

2118760

Step-by-step explanation:

She can select 5 patients from 50 patients in :

[tex]50c_{5}[/tex]

=  [tex]\frac{50!}{5! (50-5)!}[/tex]

=   [tex]\frac{50!}{5! 45!}[/tex]

= 50 x 49 x48 x47 x46 x45!

= 2118760

Answer:

Increase the slope

Step-by-step explanation:

The slope of this line is '3' ......a steeper line has a higher number than '3' in front of the 'x'    like    y = 4x+3      or      y = 7x + 12

Answer:176

Step-by-step explanation:

8 x 2 x 11

The number of ways can the committee be organized will be 2220075. Then the correct option is 3.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

The prom committee is made up of 8 boys and girls.

If there are 12 boys and 15 girls in the group to pick the committee from.

Then the number of ways can the committee be organized will be

Then the number of ways is given by the combination formula. Then we have

Number of ways = ¹²C₀ x ¹⁵C₈ + ¹²C₁ x ¹⁵C₇ + ¹²C₂ x ¹⁵C₆ + ¹²C₃ x ¹⁵C₅ + ¹²C₄ x ¹⁵C₄ + ¹²C₅ x ¹⁵C₃ + ¹²C₆ x ¹⁵C₂ + ¹²C₇ x ¹⁵C₁ +¹²C₈ x ¹⁵C₀

Number of ways = 6435 + 77220 + 330330 + 660660 + 675675 + 360360 + 97020 + 11880 + 495

Number of ways = 2220075

Thus, the correct option is 3.

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The inference is that the results of the study are statistically significant.

For group 1, we have:

Mean = 1.7

For group 2, we have:

Mean = 3.3

The mean of group 2 is greater than group 1, and the mean difference is:

Difference = 3.3 - 1.7

Evaluate

Difference = 1.6

Based on the sample values, the mean difference of 1.6 is significant.

Hence, the inference is that the results of the study are statistically significant.

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Answer:

volume = 73.3ft³

value = $194.4

Step-by-step explanation:

volume of prism = (½bh)l

=(½×4×4)×9.2

=73.6ft³

value of concrete

1ft³ : $4.00

73 .6ft³ : X

X : (73.6ft³ × $4.00) ÷ 1ft³

X : $294.4

===========================================

Work Shown:

Applying the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 8^2 + 5^2 - 2*8*5*cos(88)

c^2 = 64 + 25 - 80*cos(88)

c^2 = 86.2080403

c = sqrt(86.2080403)

c = 9.2848285

c = 9

Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.

The length of the 64 meters section in feet is 210 feet

The given parameters are:

Multiply both sides of 1 meter = 3.28 feet by 64

64 * 1 meter = 3.28 feet * 64

Evaluate

64 meters = 209.92 feet

Approximate

64 meters = 210 feet

Substitute 64 meters = 210 feet in Length = 64 meters

Length = 210 feet

Hence, the length of the section in feet is 210 feet

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The equation that models the height of the baseball is determined as H(t) = 5 + 49.64t -16(t)².

The maximum height reached by the baseball is calculated as follows;

H = y₀ + v₀yt + ¹/₂gt²

Assuming negative direction for upward motion

H = y₀ + v₀yt - ¹/₂gt²

0 = y₀ + vt -16(t)²

0 = 5 + 3.2v - 16(3.2)²

0 = 5 + 3.2v - 163.84

3.2v = 158.84

v = 158.84/3.2

v = 49.64

H(t) = 5 + 49.64t -16(t)²

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Answer:C?

Step-by-step explanation:

edge

Answer:

It is not a term of the sequence

Step-by-step explanation:

See attached image

They will be 15 miles apart after one hour if they left the same point at the same time.

The distance between two points in geometry can be calculated by using the Pythagoras theorem.

Mathematically, the Pythagoras theorem can be expressed as:

[tex]\mathbf{d = \sqrt{x^2 +y^2}}[/tex]

where;

[tex]\mathbf{d = \sqrt{(9)^2 +(12)^2}}[/tex]

[tex]\mathbf{d = \sqrt{81+144}}[/tex]

[tex]\mathbf{d = \sqrt{225}}[/tex]

d = 15 miles  

Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.

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The number of miles he drove for a cost of $30.50 is 275 miles.

Using linear equation,

y = mx + b

where

Therefore,

9 cents = $0.09

y = 35.50 + 0.09x

where

x = number of miles drove

y = total cost

Therefore,

60.25 =  35.50 + 0.09x

60.25 - 35.50 = 0.09x

24.75 = 0.09x

x = 24.75 / 0.09

x = 275 miles

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