Sin A = opposite / hypotenuse
If angle A is in the first quadrant, that means both x and y coordinate are positive.
Now you can draw triangle. Since sinA = 1/3, opposite side may be 1, so then hypotenuse side must be 3.
Now you can use Pythagorean Theorem to solve for the length of adjacent side:
a² + b² = c²
1 + b² = 9
b² = 8
b = 2√2
So adjacent side is 2√2.
So now we can solve for cosA:
cosA = adjacent / hypotenuse = 2√2 / 3
Final answer: 2√2 / 3
Answer:
<A = ( 4 * 32 - 13 ) = 115
<C = ( x + 18 ) = 50
Step-by-step explanation:
(4x - 13 ) + 15 + ( x + 18 ) = 180 ( because the total angle of a triangle is 180)
5x + 20 = 180
5x = 160
x = 32
Answer:
6.065; 7.358 ; 6.694
Step-by-step explanation:
Given that, profit is quoted using the function :
R = 2pe ^ -0.1p
(a)
When price 'p' = $5
R = 2(5)e^(-0.1*5)
R = 10e^(-0.5)
R = 10 * 0.6065306
R = 6.065
B)
When price 'p' = $10
R = 2(10)e^(-0.1*10)
R = 20e^(-1)
R = 20 * 0.3678794
R = 7.358
C.)
When price 'p' = $15
R = 2(15)e^(-0.1*15)
R = 30e^(-1.5)
R = 30 * 0.2231301
R = 6.694
F(x) = 4(5) - 2 → f(x) = 20 - 2 → f(x) = 18
Answer:
23,490
Step-by-step explanation:
10% = 0.1
234900 x 0.1 = 23490
