Answer:
Step-by-step explanation:
Given that
A right triangle has side lengths a, b, and c
Because you did not attached photo of the right triangle so I will assume that:
- Side a is the adjacent (A)
- Side b is the opposite (O)
- Side c is the hypotenuse (H)
(Please have a look at the attached photo)
To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:
Hope it will find you well
Answer:
Yes, the graph is proportional
Step-by-step explanation:
This graph is proportional because the origin (where the line starts) is at
(0, 0)
Hope this helps! Let me know if you still don't understand :)
Answer:
AB=2.1
Step-by-step explanation:
we know that
Applying the Intersecting Secant-Tangent Theorem
substitute the given values and solve for AB
Let
x=AB
substitute
Solve the quadratic equation by graphing
The solution is x=2.1
see the attached figure
therefore
AB=2.1
Answer:
50%
Step-by-step explanation:
Well you do 30/20 = 1.5
1.5 - 1 = .5
.5 = 50%
You want to find Pr[-2 < <em>Z</em> < -1].
The table tells you that
• Pr[<em>Z</em> < 0] = 0.5000
• Pr[<em>Z</em> < 1.00] = 0.8412
• Pr[<em>Z</em> < 2.00] = 0.9772
• Pr[<em>Z</em> < 3.00] = 0.9987
We have
Pr[-2 < <em>Z</em> < -1] = Pr[<em>Z</em> < -1] - Pr[<em>Z</em> < -2]
(because the distribution of <em>Z</em> is continuous)
… = Pr[<em>Z</em> > 1] - Pr[<em>Z</em> > 2]
(by symmetry of the distribution about its mean)
… = (1 - Pr[<em>Z</em> < 1]) - (1 - Pr[<em>Z</em> < 2])
(by definition of complement)
… = Pr[<em>Z</em> < 2] - Pr[<em>Z</em> < 1]
… = 0.9772 - 0.8412
… = 0.1360 ≈ 0.14 … … … (B)