Answer:


Step-by-step explanation:
<u>Trigonometric Formulas</u>
To solve this problem, we must recall some basic relations and concepts.
The main trigonometric identity relates the sine to the cosine:

The tangent can be found by

The cosine and the secant are related by

They both have the same sign.
The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.
The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.
We are given

Find the cosine by solving





We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.
Now compute the tangent

Rationalizing


Answer:
25
Step-by-step explanation:
The longest side is 12.
The two other sides of the triangle=
=(9+36)square rooted=45 square rooted is about 6.7.
6.7*2=13.4
13.4+12=25.4
25.4 rounded to the nearest unit is 25.
Answer:
b = 2 cm.
Step-by-step explanation:
A trapezoid is broken into a rectangle and a triangle. So, it is a right trapezoid.
The rectangle has a base of 8 centimeters and a height of 6 centimeters. The triangle has a base of 2 centimeters and a height of 6 centimeters.
Now, we are asked the length, b, of the base of the triangle.
It is clear from the given information that the base of the triangle is, b = 2 cm. (Answer)
Answer:
We conclude that there is not enough evidence to support the claim that company is spending too much time on email.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 96 minutes
Sample mean,
= 91 minutes
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 25 minutes
First, we design the null and the alternate hypothesis

We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
The calculated test statistic is less than the critical value, we fail to reject the null hypothesis and accept it.
Thus, we conclude that there is not enough evidence to support the claim that company is spending too much time on email.
Multiply you first equation by 2 to get 4x + 10y = 22
Now the x terms can be eliminated and cancelled out using elimination.
4x + 10y = 22
4x + 3y = 1
To eliminate you need to "subtract", so you need to multiply one of the equations by -1.
4x + 10y = 22
-4x -3y = -1
------------------
0 + 7y = 21
y = 3
Now plug 3 into either one of the equations to get x.