First problem:
cos (theta)=1
Using the inverse cosine function, you get theta = 0.
Now we find tan 0 = 0
cot(theta) = 1/tan(theta) = 1/0
Division by zero is undefined, so the answer is d. undefined
Second problem:
cos (theta)=1
Use the inverse cosine function.
theta = 0°
Answer: c. 0°
The aides of a right triangle will always satisfy the Pythagorean relationship ...
a² + b²= c²
We can take each of these and try it out:
(1) ... 10² + 24² = 100 + 576 = 676
√676 = <em>26 Yes</em>.
(2) ... 12² + 18² = 144 + 324 = 468
√468 = 21.6, not 20. <em>No.</em>
(3) ... 15² + 26² = 225 + 676 = 901
√901 = 30.017 Awfully close. As an engineer, I'll buy this one. <em>Yes.</em>
(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
√4,100 = 64.03, not 80.<em> No.</em>
Answer:
Division Property of Equality.
Step-by-step explanation:
In this case, you will use the Division Property of Equality to solve. Isolate the variable, n, by dividing 5 from both sides:
(5n)/5 = (50)/5
n = 50/5
n = 10
~
Answer:
vertex = (3,24) Axis of symmetry = 3
Step-by-step explanation:
Use the vertex formula to find x: x=-b/2(a)
x= 12/2(2) = 3 (this is your axis of symmetry)
Substitute 3 for x in the equation to get y: y = 42
Once you have both x and y you have your vertex.