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olga nikolaevna [1]
3 years ago
15

Use the unit circle to find cos Θ.

Mathematics
2 answers:
Ilya [14]3 years ago
6 0

Answer:

C) (√2)/2

Step-by-step explanation:

The cosine of the angle is the x-coordinate of the terminal ray's intersection with the unit circle. That is clearly shown as (√2)/2. (It does not matter how you get there, as long as the angle is measured from the +x axis.)

zalisa [80]3 years ago
3 0

Answer:

\frac{\sqrt{2}}{2}

Step-by-step explanation:

Start by determining the simpler angle 2\pi-\theta (or, the complement of the highlighted angle in red on your image). The cosine of that angle is

\cos (2\pi-\theta) = \frac{x}{1}=\frac{\frac{\sqrt{2}}{2}}{1}=\frac{\sqrt{2}}{2}

Now, back to the actual red-circled angle. That one is going in the negative direction and ends up in the same position on the unit circle. Since cosine is an even function, its value is the same whether you evaluate at an angle theta, or its complement 2pi-theta. So, the final answer is: \frac{\sqrt{2}}{2}

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Answer:

7,7, and 7

Step-by-step explanation:

If she vase is cubical we know that all 3 dimensions are the same. This means that x^3 = 343. So we know the answer is the cube root of 343, which is 7

3 0
3 years ago
PLEASE HELP I DON'T UNDERSTAND! A florist is making regular bouquets and mini bouquets. The florist has 118 roses and 226 peonie
Anna [14]

Answer:

The florist can make 11 regular bouquets and 21 mini bouquets

Step-by-step explanation:

The number of roses the florist has = 118 roses

The number of peonies the florist has = 226 peonies

The number of roses in each regular bouquet = 5 roses

The number of peonies in each regular bouquet = 11 peonies

The number of roses in each mini bouquet = 3 roses

The number of peonies in each mini bouquet = 5 peonies

1. The equation that gives the total number of roses to be used in both kinds of bouquet is given as follows;

Let r represent the number of regular bouquet the florist can make and let m represent the number of mini bouquet the florist can make, we have;

5·r + 3·m = 118...(1)

2. Similarly, we have;

11·r + 5·m  = 226...(2)

Making m the subject of the formula of both equations, and equating both values of m to find a common solution, we have;

m = (118 - 5·r)/3

m = (226 - 11·r)/5

(118 - 5·r)/3 = (226 - 11·r)/5

5 × (118 - 5·r) = 3 × (226 - 11·r)

590 - 25·r = 678 - 33·r

33·r - 25·r = 678 - 590 = 88

8·r = 88

r = 88/8 = 11

r = 11

The number of regular bouquet the florist can make = r = 11

m = (118 - 5·r)/3 = (118 - 5×11)/3 = 21

m = 21

The number of mini bouquet the florist can make = m = 21

The number of regular bouquet the florist can make = 11 bouquets

The number of mini bouquet the florist can make = 21 bouquets.

3 0
2 years ago
NEED ANSWER ASAP PLEASE
ollegr [7]
I don't get how it would be a system of equations.
3 0
3 years ago
Read 2 more answers
Ana’s age is 8 years less than 4 times her sister’s age.
allsm [11]
(5•4)-8 the answer is 12 because 5 times 4 is 20. Then 20 minus 8 is 12.
6 0
3 years ago
For the value of the constant n is Q(x)=x^3+(n-9)x^2+(2n-5)x+4 divisible by(x+4)?​
Anestetic [448]

Answer:

no, the constant n is not divisible by (x-4)

3 0
3 years ago
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