1) For what values is the statement true? sin(x+20)°=cos(y−10 x=20, y=60

x=20, y=50

x=30, y=40

x=30, y=60

2)In right triangle ABC with right angle C, sinA=4/5 and cosA=3/5. What is sinB+cosB?

1/5

7/5

35/12

5/7

3)In a right triangle ABC where sinA=cosB, what are the measures of acute angles A and B if the measure of angle A is three times the measure of angle B?

The measure of angle A is 67.5° and the measure of angle B is 22.5°.

The measure of angle B is 135° and the measure of angle A is 45°.

The measure of angle A is 135° and the measure of angle B is 45°.

The measure of angle B is 67.5° and the measure of angle A is 22.5°.

4)What is the value of b that makes the equation cos(17b+26)°=sin(15b)° true?

13

2

9.5

3

55% are girls and 45% are boys : ) hope this

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places