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Gemiola [76]
3 years ago
6

The radius of the circle below intersects the unit circle at (3/5, 4/5). What is the approximate value of teta?

Mathematics
2 answers:
Allushta [10]3 years ago
8 0
For this case we can use the following trigonometric relationship:
 tan (theta) = y / x
 Substituting values we have:
 tan (theta) = (4/5) / (3/5)
 Rewriting we have:
 tan (theta) = 4/3
 Clearing theta:
 theta = Atan (4/3)
 theta = 53.13 degrees
 Answer:
 
the approximate value of teta is:
 
theta = 53.13 degrees
Anarel [89]3 years ago
6 0

Answer:

53.1

i just took the test

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3 0
3 years ago
if the eggs in a basket are removed 2 at a time, 1 egg will remain. if the eggs are removed 3 at a time, 2 eggs will remain. if
Yanka [14]

The least number of eggs that could be in the basket is 119.

Multiple of the number:

The multiple is the numbers you get when you multiply a certain number by an integer.

Given,

If the eggs in a basket are removed 2 at a time, 1 egg will remain.

If the eggs are removed 3 at a time, 2 eggs will remain.

If the eggs are removed 4, 5, or 6 at a time, then 3, 4, and 5 eggs will remain, respectfully.

But if they are taken out 7 at a time, no eggs will be left over.

Here we need to find the least number of eggs in the basket.

Let the number of eggs in the basket be N.

We know that,

if the eggs in a basket are removed 2 at a time, one eggs will remain.

So N is 1 less than a multiple of 2, so

=> N=2A-1

If they are removed 3 at a time, 2 eggs remain.

So N is 2 more, and therefore 1 less than, a multiple of 3, so

=> N=3B-1

If the eggs are removed 4...at a time, then 3...eggs remain,

So N is 3 more, and therefore 1 less than, a multiple of 4, so

=> N=4C-1

Similarly,

For 5,

=> N = 5D - 1

For 6,

=> N = 6E - 1

So,  if they are taken out 7 at a time, no eggs will be left over.

So,

N => 7F

Where A,B,C,D,E, and F are any positive integer.

Therefore,

N = 2A-1 = 3B-1 = 4C-1 = 5D-1 = 6E-1 = 7F

Add 1 to all those:

N+1 = 2A = 3B = 4C = 5D = 6E = 7F+1

Through this,

N + 1 = 7F + 1

has to be a common multiple of 2,3,4,5,6.

So, the LCM of 2,3,4,5,6 is 60.

So N+1 is a multiple of 60 which means N is 1 less than a multiple of 60.

So we find the least multiple of 60 that is 1 more than a multiple

of 60.

The multiples are, 60, 59, ....but 59 is not a multiple of 7.

The next multiple of 60 is 120.  

1 less than 120 is 119, and sure enough, 119 is a multiple of 7.

So,

=> 119 = 17*7.

Therefore, the least number of eggs that could be in the basket is 119.

To know more about Multiple here

brainly.com/question/5992872

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4 0
2 years ago
Show all of your work. Simplify the expression: - 3a + 7 + 5a​
Eva8 [605]

Answer:

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Step-by-step explanation:

-3a + 7 +5a

<em>subtract the negative 3 from the 5</em>

2a + 7

4 0
3 years ago
Read 2 more answers
Solve all of them please u get 30 points​
nika2105 [10]

Step-by-step explanation:

from which text book please

8 0
2 years ago
Read 2 more answers
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