Answer:
answer a
Step-by-step explanation:
<
- Let's isolate on one side of the equation. Ignore the inequality for now. We'll deal with that later.
- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating , but if this confuses you, just do your math and keep the inequality there.
<
- On a number line, this would include every number <em>less than </em>, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>. But, how do we decide between answers a and c?
- If a line has point at its beginning, , then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
The answer is C.
All of the other answers are incorrect
Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx
tan x = 0
x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:
The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.
Answer:
A. 336
B. Arranging 3 people in 8 chairs.
C. 42
B. Arranging 2 people in 7 chairs.
Step-by-step explanation:
A.
Formula for Permutation is given as:
Putting the value of = 8 and , we get:
B. Real world situation for part A:
Arranging 3 people on 8 chairs.
First person has 8 options.
Second person has 7 options.
Third person has 6 options.
C.
Formula for Permutation is given as:
Putting the value of = 7 and = 2 , we get:
D. Real world situation for part AC:
Arranging 2 people on 7 chairs.
First person has 7 options.
Second person has 6 options.