Answer:
θ =
Step-by-step explanation:
Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;
Sin θ =
Sin θ =
= 0.5
θ = 0.5
θ =
Thus, the angle of elevation from the base to the top of the mountain is .
Answer:
5.236
Step-by-step explanation:
X=90-54=36 (90 because it is right angle and it is given)
bod=180-156=24 (supplementary angles)
bod=aoc=24 (vertical angles)
cod=180 (straight angle)
cod=aoc+y+fog+2y=180
24+y+90+2y=180
3y=180-90-24
3y=66 (divide by 3)
y=66/3=22
y=22
so x=36 and y=22
Answer:
a) 0.0567
b) 0.4717
c) 0.099057
Step-by-step explanation:
Given:
P( population are 64 or over ) = 21% = 0.21
P( Population are under 64 ) = 1 - P( population are 64 or over )
= 1 - 0.21 = 0.79
P( 64 or over have loans ) = 27% = 0.27
P( under 64 have loans ) = 52% = 0.52
Now,
a) P( 64 or over and has a loan )
= P( 64 or over have loans ) × P( population are 64 or over )
= 0.27 × 0.21
= 0.0567
b) P( Has a loan )
= P( population are 64 or over ) × P( 64 or over have loans ) + P( Population are under 64 ) × P( under 64 have loans )
= ( 0.21 × 0.27 ) + ( 0.79 × 0.52 )
= 0.0609 + 0.4108
= 0.4717
c) P( events that person is 64 or over and that the person has a loan independent )
= P( population are 64 or over ) × P( Has a loan )
= 0.21 × 0.4717
= 0.099057
Answer:
B
Step-by-step explanation:
If C is the correct answer and if the final result is multiplied out, where does the minus sign in a^4 - b^4 come from? All pluses don't make a minus. A is incorrect.
If D is correct, then a^2 - b^2 should be further factored producing a different kind of answer, like (a + b)^2(c-d)^2 which is not the same as a^4 - b^4. So D is not correct.
The first step in factoring a^4 - b^4 is (a^2 + b^2)(a^2 - b^2) A doesn't lead you anywhere. A is incorrect. The answer must be B.
a^4 - b^4 = (a^2 - b^2)(a^2 + b^2) The first term factors.
a4 - b^4 = (a + b)(a - b) (a^2 +b^2)