Answer:
D
Step-by-step explanation:
Using the rule of exponents
⇔ 
Given
= 
= (
)³
Answer:
There are 48 numbers that satisfy the condition
Step-by-step explanation:
Find the relationship between 3 and 12
3 * 4 = 12
The maximum number of multiples of 12 within 200 is 18.
The maximum number of multiples within 200 is 66.
So the number of numbers within 200 that go exactly into 3 but not exactly into 12 is:
66-18 = 48
I think it’s 17/20. i hope i helped
I believe the answer is A because the square root of 10 root 3 is approximately 17.32.
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.
__
(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.
__
(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°.
