In a right triangle with acute angle of measure theta, sintheta=7 /9. what is the value of costhetatheta? draw a diagram as part of your response.

The value of is

Step-by-step explanation:

The Pythagorean Theorem, can be used to find the length of any side of a right triangle.

We know that this means that the ratio of the opposite side to the hypotenuse is . So and .

To find adjacent side (b) we apply the Pythagorean Theorem as follows:

We need to use the fact that

We have the adjacent side = and the hypotenuse = 9, so

cut 138 centimeters off

step-by-step explanation:

250-112 = 138

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true