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3 years ago

What is a possible value of sin(theta) when cos2(theta)=0.73?

1 answer:

8 0

We use the following trigonometric identity to answer the question:
sin^ 2 (theta) + cos^ 2 (theta) = 1
We substitute the values:
sin ^ 2 (theta) + 0.73 = 1
We cleared:
sin ^ 2 (theta) = 1-0.73
sin ^ 2 (theta) = 0.27
Answer:
a possible value of sin ^ 2 (theta) is:
c.0.26 (nearest option)

You might be interested in

4) (Assume AR is tangent) Given: AR 12 SR - 7.7 Find: cs (Round to nearest tenth.)

andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The tangent secant theorem states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

$AR^2=SR\times RC$

Rewriting the above equation, we get,

$AR^2=SR(SR+SC)$

Substituting the values, we get,

$12^2=7.7(7.7+CS)$

Simplifying, we have,

$144=59.29+7.7CS$

Subtracting both sides by 59.29, we get,

$84.71=7.7CS$

Dividing both sides by 7.7, we have,

$11.0013=CS$

Rounding off to the nearest tenth, we get,

$11.0=CS$

Thus, the length of CS is 11.0

6 0

2 years ago

I have a diameter of 6in how do i get my circumference step by step?

avanturin [10]

Equation: C=dπ
C=6·3.14
C=18.84
answer^^^

6 0

3 years ago

A square has side length of 8 in. If the area is multiplied by 36, what happens to the side length? HELP PLEASE!!

GaryK [48]

Answer:

The side length is multiplied by 6.

Step-by-step explanation:

The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.

If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.

√2304 = 48

The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.

6 0

2 years ago

Let f(x)=1/x and g(x)=x^2-2. What is (fog)(-3)?

Elenna [48]

Answer:

Its value is 1/7.

I hope this will help you.

3 0

3 years ago

Describe the nature of the roots for the equation 49x2– 28x +4 = 0

Zepler [3.9K]

Answer:

The roots of the equation is real and repeated

Step-by-step explanation:

Here, we want to describe the nature of the roots of the given quadratic equation

To get the nature of the roots, we find the discriminant of the equation

The discriminant is;

b^2 - 4ac

In this case, b = -28 , a = 49 and c = 4

The discriminant is thus;

-28^2 - 4(49)(4)

= 784 - 784 = 0

Since the discriminant is zero, this means that the quadratic equation has real roots which are the same

6 0

2 years ago