Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
__
(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
Answer:
$292.50
Step-by-step explanation:
Equation - A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.5%/100 = 0.025 per year.
Solving our equation:
A = 260(1 + (0.025 × 5)) = 292.5
A = $292.50
The total amount accrued, principal plus interest, from simple interest on a principal of $260.00 at a rate of 2.5% per year for 5 years is $292.50.
Hi there!
We are given the function -

and are told to find the limit of the function.
The limit would be n approaches infinity, giving us an answer of
-1.
Here is how you solve this:

Divide by (n + 1)! -

Now, we can refine the function -

Now, just simplify. This gives us -

We can use the rule

to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is
-1. Hope this helped and have a great day!
Answer:
12
Step-by-step explanation:
The parallel sides must be the same length.
2x-6 = x+3
2x-x-6-3 = 0
x - 9 = 0
x = 9
x + 3 and 2x - 6 are both 12
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
<h3>How to graph the set on a number line?</h3>
The set is given as:
(1, ∞) ∩ (−10, ∞)
The above means that the numbers inclusive in the set are numbers between the following set:
- (1, ∞): All real numbers greater than 1
- (−10, ∞): All real numbers greater than -10
The intersection of the above set is (1, ∞)
This means that the set (1, ∞) ∩ (−10, ∞) is a set of all real numbers greater than 1
Having done the above illustration, next we plot the set on a number line
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
Read more about number lines at:
brainly.com/question/24644930
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