Use the arc length formula and the given information to find r.
s = 16 cm, 0 = 48°; r = ?

Answer:

25/24

Step-by-step explanation:

simplify: 2/3-1/4 to 5/12

5/8+5/12

=25/24

Answer:

1/35

Step-by-step explanation:

P= 6 *13! / 15! = 1/35

The probability of two east high school swimmers to come first and second is 1/35.

How to calculate probability?

First, let us calculate the number of desired outcomes:

The first position has 3 possibilities and 2nd position has 2 possibilities and 3rd position has 13 possibilities (leaving people of 1st and 2nd position).

Total=2.3.13

Now, calculate the total outcome:

1st position has 15 possibilities, 2nd has 14 and 3rd has 13.

Total=15.14.13

Probability=desired outcome/total outcome

                 =2.3.13/15.14.13

                 =1/35

Therefore, probability of the given situation is 1/35.

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Answer:

The answer is C) car b travels 11 more miles than car a in one hour

Step-by-step explanation:

Car A: 18/20(60)=54 mph

Car B: 13/12(60) = 65 mph

So car b travels 11 more miles than car a in one hour

Answer:

b, since the others have the input and output on the wrong sides

Answer:

$0.71

Step-by-step explanation:

9.99 + (3% of 9.99) = 10.2897

11 - 10.2897 = 0.7103, so $0.7103 is our answer. However, this isn't a real amount of money that can be handed from a clerk to a customer. So, we will round it to the nearest cent, bringing us to $0.71, our final answer.

Answer:

Find 0% of 120: 0

Find 100% of 120: 120

Find 50% of 120: 60

Find 25% of 120: 30

Find 75% of 120: 90

Step-by-step explanation:

Answer:

11 and -4

Step-by-step explanation:

Let the required two numbers be x and y

If the sum of two numbers is 7, then

x + y = 7 .. 1

If the difference of their squares is 105, then;

x² - y² = 105 ...2

From 1;

x = 7 -  y... 3

Substitute 3 into 2;

(7-y)² - y² = 105

Expand

49-14y+y² -y² = 105

49-14y = 105

-14y = 105 - 49

-14y = 56

y = -56/14

y = -4

Substitute y = -4 into 3

x = 7 -  y... 3

x = 7 - (-4)

x = 7+4

x = 11

Hence the numbers are 11 and -4

Answer:

Sin 2 (30)°=  [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Explanation:-

Given that   Sin 2 (30)°

we know that the formula  sin2θ = 2sinθ cosθ

   Given that θ = 30°

   Now  

         sin2(30)° = 2sin30° cos30°

                                             [tex]= 2 ( \frac{1}{2} X \frac{\sqrt{3} }{2} )[/tex]

       After cancellation, we get

                           Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]

Final answer:-

          Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]    

Answer: l

=

16

,

b

=

10

Explanation:

Step-by-step explanation:

Perimeter of rectangle is  

p

=

2

(

l

+

b

)

=

52

,  

l

is length and  

b

is breadth.

Area of rectangle is  

A

=

l

⋅

b

=

160

∴

l

=

160

b

;

∴

2

(

160

b

+

b

)

=

52

or

(

160

b

+

b

)

=

26

or

160

+

b

2

b

=

26

or

160

+

b

2

=

26

b

or

b

2

−

26

b

+

160

=

0

or

b

2

−

16

b

−

10

b

+

160

=

0

or

b

(

b

−

16

)

−

10

(

b

−

16

)

=

0

or

(

b

−

16

)

(

b

−

10

)

=

0

∴

b

=

16

or

b

=

10

If  

b

=

16

;

l

=

160

16

=

10

and if  

b

=

10

;

l

=

160

10

=

16

The dimension of rectangle is  

l

=

16

,

b

=

10

[Ans]

Answer:

5.66

Step-by-step explanation:

This is a 45 – 45 – 90 triangle. What this means is that the two legs are both congruent and the hypotenuse is the length of the legs times [tex]\sqrt{2}[/tex].

So in order to find this, we have to divide 8 by the square root of 2.

Putting this in to a calculator, we get 5.6568542. When rounded to the nearest hundredth, it is 5.66, which is the first answer.

Answer:

3/8 divided by 5/6

Step-by-step explanation:

To divide a fraction by a fraction, you multiply the first fraction by the reciprocal (aka the fraction flipped upside down, in this case the reciprocal of 5/6 is 6/5). Since 6/5 is greater than 5/6, 3/8 divided by 5/6 is greater than 3/8 times 5/6.

Answer:

[tex]\frac{3}{8}[/tex] ÷ [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{15}{64}[/tex] is 0.234375

[tex]\frac{9}{20}[/tex] is 0.45

0.234375 < 0.45

give me brainllest

Answer:

the answer is 47 sprinklers

Step-by-step explanation:

so the system is 188 and there is one sprinkler every 4 feet

so 188/4 which would give u 47

Answer:

No

Step-by-step explanation:

if you see any duplicates or repetitions in the x-values, the relation is not a function.

Answer:

You are correct the tax would be that

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.

Answer:

36

Step-by-step explanation:

A (base) 6

B (Base) 12

H (height) 4

Answer:

x=15

Step-by-step explanation:

they all add up to 360degrees

Answer:

x = 15

Step-by-step explanation:

hope this helps!

~mina

Answer:

121 degrees

Step-by-step explanation:

Given

Radius r = 18ft

Length of the arc = 38ft

Required

angle of rotation

Using the formula

Length of an arc = theta/360 * 2πr

Substitute the given data

38 = theta/360 * 2π(18)

38 = theta/360 * 113.04

theta/360 = 38/113.04

theta/360 = 0.33616

theta = 0.33616 * 360

theta = 121.02

Hence the angle of rotation to the nearest degree is 121 degrees

Answer:

The area of the shaded region can be found by multiplying the area of the whole circle by three-fourths.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

The interval which contains the median water bill is $200 - $225

The tabulated data :

Class interval ____ Frequency ___ Cummulative frequency

100 to 125, ________ 1 ___________ 1

125 to 150, 2 ______ 2 ___________3

150 to 175, 5 _______5 ___________8

175 to 200, 10 ______10 __________18

200 to 225, 13 _____13 __________ 31

225 to 250, _______ 8 __________40

The median class = Cummulative frequency / 2

The median class = 40 / 2

The class interval which contains the 20th frequency.

This is the 200 - 225 class

The interval which contains the median water bill is $200 - $225

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Step-by-step explanation:

To calculate the surface area of a 3D composite object, find the outside surface area of each object and then add the surface areas together. It could also be broken into one on top and one on the bottom. Determine the surface area of the outside faces of the right prism.

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.

PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR

Answer:

i say it's A.c

I hope it helped

The value of the function at x = 2 will be 5.

A function is a statement, tenet, or rule that establishes a connection between two variables. Mathematics is replete with functions, which are necessary for the construction of intricate relationships.

The result of the calculation that the mathematical model depicts is the expression's result when the necessary parameters and natural laws are given values.

The table represents a function.

x     f(x)

-1     5

0     10

2     8

9     14

In the above table, we can see that at the value of x = 2 in the function the value of the whole function is 5.

More about the function link is given below.

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