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Elena L [17]
3 years ago
5

What is a positive angle less than 360 degrees that is conterminal with -289 degrees

Mathematics
1 answer:
wel3 years ago
4 0

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

  • When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
  • When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
  • To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

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The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elev
kramer

Answer:

Step-by-step explanation:

i believe the answer is 7.33333333333 feet per second

4 0
3 years ago
bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp
SashulF [63]

Answer:

The least number of stamps required is 9

Step-by-step explanation:

Let the number of 3 cent stamps be x and 4 cent stamps be y

We have

3x+4y=33

The minimum number is obtained when more  4 cent stamps are used

Here y cannot be greater than 8 since \frac{33}{4}

Substitute y=8

3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}

Not possible since x is not a fraction

Substitute y=7

3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}

Not possible since x is not a fraction

Substitute y=6

3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3

Possible

Hence minimum number of stamps is

=x+y\\\\=3+6\\\\=9

5 0
2 years ago
Put Them in The box They Go in
pav-90 [236]

Answer:

\frac{1}{3}  \times r - 4 \\ 3 \times r - 4 \\  \frac{1}{3}  \times r + 4 \\ 3(r + 4)

5 0
3 years ago
You found the prime factorization of the number 73 explain how you can check your answer
antoniya [11.8K]

9514 1404 393

Explanation:

You can check your answer by making sure that each of the primes you found is actually a prime. (Compare to a list of known primes, for example.) After you have determined your factors are primes, multiply them together to see if the result is 73. If so, you have found the correct prime factorization.

__

<em>Additional comment</em>

73 is prime, so its prime factor is 73.

  73 = 73

4 0
3 years ago
Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees
lilavasa [31]

Step-by-step explanation:

Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

3 0
3 years ago
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