1 -) ( 5 sin ø - 3 cos Ø )
________________
sin Ø + 2 cos Ø
← <u>SOLUTION</u><u>→</u>
( 5 sin ø - 3 cos Ø )
________________
sin Ø + 2 cos Ø
=> 5 - 3 cot ∅
( ___________ )
1 + 2 cot ∅
=>. 5 - 3 × 4
[ ____. ]
5
________________
1 + 2 x 4
__
5
= 25 - 12
________. (:. cot Ø = 4 / 5
5 + 8
= 13
___
13
= 1
2 - ) ( b sin Ø - a cos Ø)
_______________
b sin Ø+ a cos Ø
SOLUTION
( b sin Ø - a cos Ø)
_______________
b sin Ø+ a cos Ø
= ( b tan Ø - a )
____________
( b tan Ø+ a )
b
= b × ___ - a
a
__________. (:. tan Ø= b /a
b
b × ___. + a
a
= b ² - a ²
________
b² + a ²
$42 + $4 = $46 for charge.
$42 = $12 x 3.5
Answer:
ƒ(x) = (x - 2)^2 + 1
Step-by-step explanation:
To make f(x) be a translation of the graph of g(x) by (h, k), write it as ...
f(x) = g(x -h) +k
You want to translate g(x) = x^2 by (2, 1), 2 units right and 1 unit up, so the function f(x) is ...
f(x) = g(x -2) +1
Answer:
(a) 2048
(b)
.
Step-by-step explanation:
(a)
Total number of questions = 11
Each equation has two possible answers (either true or false).
We need to find the total number of ways in which the test can be completed.
![\text{Total number of ways}=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20number%20of%20ways%7D%3D2%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%202)
![\text{Total number of ways}=2^{11}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20number%20of%20ways%7D%3D2%5E%7B11%7D)
![\text{Total number of ways}=2048](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20number%20of%20ways%7D%3D2048)
Therefore the total possible ways to complete the test is 2048.
(b)
We need to find the probability that a test is randomly answered perfectly.
Total Favorable outcomes = 1
Total possible ways = 2048
![Probability=\frac{\text{Total Favorable outcomes}}{\text{Total possible ways}}](https://tex.z-dn.net/?f=Probability%3D%5Cfrac%7B%5Ctext%7BTotal%20Favorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20possible%20ways%7D%7D)
![Probability=\frac{1}{2048}](https://tex.z-dn.net/?f=Probability%3D%5Cfrac%7B1%7D%7B2048%7D)
Therefore the probability that a test is randomly answered perfectly is
.