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inysia [295]
2 years ago
5

Find the exact arc length of the given arc. show all work and leave terms of pi and reduce your fraction.

Mathematics
1 answer:
Sauron [17]2 years ago
5 0

Answer:

20/3pi

Step-by-step explanation:

\frac{75}{360}  \times 2\pi \times 16 \\  =  \frac{2400}{360} \pi\\  =  \frac{20}{3}   \pi\\  = 20.94 \: cm

Please give brainliest if it helps

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Find all the square roots of x2 ≡ 53 (mod 77)
Nikolay [14]

Answer:

x=\pm\sqrt{77n+53}

Step-by-step explanation:

We have been given an equivalence equation x^2\equiv 53\text{ (mod } 77). We are asked to find all the square root of the given equivalence equation.

Upon converting our given equivalence equation into an equation, we will get:

x^2-53=77n

Add 53 on both sides:

x^2-53+53=77n+53

x^2=77n+53

Take square root of both sides:

x=\pm\sqrt{77n+53}

Therefore, the square root for our given equation would be x=\pm\sqrt{77n+53}.

3 0
3 years ago
Write the formula for the perimeter of a rectangle.Then substitute 12in for the length and 6in for the width solve the equation
Anastaziya [24]

Answer:

Step-by-step explanation:

Let L represent the Length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

Then substitute 12 in for the length and 6in for the width. It becomes.

Perimeter = 2(12 + 6).

Perimeter =2 × 18 = 36

3 0
3 years ago
13. Write 1.2 as a mixed number
DedPeter [7]

Answer:

1 1/5

Step-by-step explanation:

7 0
2 years ago
Please explain how you got your answer!!! The dot plots below show the ages of students belonging to two groups of salsa classes
Rudik [331]

Answer:

Group b most likely has a lower mean age of salsa students

Step-by-step explanation:

Arithmetic Mean of the data is the average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.

Here we are given with two groups that are Group A and Group B

both having total number of students = 20

Here the mean age of the data is addition of the all ages of different students divided by total number of students.

For group a

total age of the group = 3 × 5 + 4 × 10 + 6 × 17 + 4 × 24 + 3 × 29

= 15 + 40 + 102 + 96 + 87

=340

The mean age of salsa students= 340 ÷ 20 = 17

For group b

total age of the group = 6 × 7 + 3 × 10 + 4 × 14 + 5 × 16 + 2 × 21

= 42 + 30 + 56 + 80 + 42

=250

The mean age of salsa students= 250 ÷ 20 = 12.5

So the group b most likely has a lower mean age of salsa students

Learn more about Arithmetic Mean here - brainly.com/question/24688366

#SPJ10

7 0
2 years ago
A rectangular tank with a square​ base, an open​ top, and a volume of 5324 ft cubed is to be constructed of sheet steel. Find th
ira [324]

Answer:

Step-by-step explanation:

I can't unless you give me the length and width or its impossible

3 0
2 years ago
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