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KengaRu [80]
3 years ago
14

A circle with area \blue{16\pi}16πstart color #6495ed, 16, pi, end color #6495ed has a sector with a central angle of \purple{\d

frac{8}{5}\pi}
5
8
​
πstart color #9d38bd, start fraction, 8, divided by, 5, end fraction, pi, end color #9d38bd radians .
What is the area of the sector?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal rounded to the nearest hundredth.
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

(64/5)π

Step-by-step explanation:

Area of the circle: 16π

central angle: (8/5)π

The Area of the circle corresponds to a central angle equal to 2π (the complete circle). Then the following proportion must be satisfied:

16π / x = 2π / (8/5)π

x = [16π * (8/5)π] / 2π

x = (64/5)π

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Pls help me with the solution I need help.​
Rashid [163]

Answer:

Y=180

X=90

Step-by-step explanation:

5 0
3 years ago
The bakers at Healthy Bakery can make 170 bagels in 2 hours. How many
Maru [420]

Given:

The bakers at Healthy Bakery can make 170 bagels in 2 hours.

To find:

How many  bagels can they bake in 14 hours and the rate per hour.

Solution:

We have,

Number of bagels the bakers can bake in 2 hours = 170 bagels

Number of bagels the bakers can bake in 1 hours = \dfrac{170}{2} bagels

                                                                                   = 85 bagels

Therefore, the average rate is 85 bagels per hour.

Number of bagels the bakers can bake in 14 hours = 14\times 85 bagels

                                                                                    = 1190 bagels

Therefore, the bakers can bake 1190 bagels in 14 hours.

3 0
3 years ago
Use euler's theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 35.
Elan Coil [88]
Problem: find 0 ≤ x ≤ 28 such that x^85 ≡ 6 modulo 35.

By Fermat-Euler theorem:
If a and n are coprime, i.e. (a,n)=1, then
a^phi(n) ≡ 1 mod n  
where phi(n)=totient function, the number of positive integers less than n that is coprime with n.

for n=35, phi(35)=24 calculated as follows:
There are 10 positive integers from 1 to 34 which are NOT coprime with 35, namely {5,7,10,14,15,20,21,25,28,30}.Therefore phi(35)=34-10=24

From Fermat-Euler theorem, 
x^(phi(35) = x^24 ≡ 1 modulo 35  since (24,35)=1, i.e. 24 and 35 are coprime.
=>
x^12 ≡ ± 1 modulo 35. ...........(1)

and 

x^85 ≡ x^(85-3*24) ≡ x^(85-72) ≡ x^(13) ≡ 6 mod 35 ............(2)

Substituting (1) in (2)
x^(12)*x ≡ 6 mod 35
=>
(+1)*x = 6 mod 35   or  (-1)*x ≡ 6 mod 35
x ≡ 6 mod 35           x ≡ -6 mod 35   (rejected)

=>  x=6 

So

6^85 ≡ 6 mod 35


If any clarifications are needed or if you find any errors, please post.
5 0
3 years ago
Which point is the image of B(3, 7) after a reflection in the x-axis?
galben [10]

option B is the answer.

B)B'(3,-7)

3 0
3 years ago
Read 2 more answers
HELP ASAP find the volume of the figure. (3.14 as pi)
laiz [17]

Answer:

Step-by-step explanation:

the two ends , made up of triangles make an 8x5x5  box1

box1 = 200

the center piece makes a box2  of 10x8x5

box2 = 400

volume = 600 ft^{3}

4 0
3 years ago
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