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3 years ago

The measure of each interior angle of a regular polygon is 157.5 ∘ . How many sides does the polygon have?

Mathematics

1 answer:

uranmaximum [27]3 years ago

4 0

180(n-2)=157.5n

180N-360=157.5n

180N-157.5n=360

22.5N=360

N=360/22.5

N=16

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Nina used plastic rectangles to make 6 rectangular prisms. How many rectangles did she use?

Reil [10]

Answer:

Step-by-step explanation:

6 X 6 = 36

7 0

2 years ago

A bag contains 12 red marbles The ratio of red marbles to blue marbles is 4:3?

Ostrovityanka [42]

There are 9 blue marbles.

Step-by-step explanation:

12÷4=3

3×3=9

8 0

2 years ago

Maya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Maya drove

Roman55 [17]

Answer:

480 miles.

Step-by-step explanation:

Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.

We have been given that there was heavy traffic on the way there, and the trip took 12 hours.

$\text{Distance}=\text{Rate}\times \text{Time}$

$x=12r$

We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.

So Maria's speed while returning back would be $r+20$ .

$x=8(r+20)$

Upon equating both distances, we will get:

$12r=8(r+20)$

$12r=8r+160$

$12r-8r=8r-8r+160$

$4r=160$

$r=\frac{160}{4}$

$r=40$

Upon substituting $r=40$ in equation $x=12r$ , we will get:

$x=12r\\\\x=12(40)\\\\x=480$

Therefore, Maya live 480 miles away from the mountains.

7 0

3 years ago

6cm

Daniel [21]

Answer:

26cm

Step-by-step explanation:

P= all sides

p=6+3+2+4+2+3+6

should get 26 then add the correct symbol...so put 26 <em><u>cm</u></em>

8 0

3 years ago

Does the decimal equivalent of p/q, where p and q are positive integers, contain only a finite number of nonzero digits?

Aleks [24]

A/B is a reduced fraction which can be represented as a terminating decimal if and only b is of the form 2^n5^n where m and n are non negative integers. For example: 7/250, the terminating decimal here is 0.028 as 250 as the denominator equals to 2*5^2.

According to the above, we must know whether the denominator have only 2-s and or 5-s as the prime factors. So,

Q = 8 = 2 ^3 = hence the denominator has only 2 prime factors. Fraction P/Q will be termed as terminated decimal which is sufficient.

4 0

3 years ago