Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Answer:
x = 8
Step-by-step explanation:
The angles shown are vertical angles
Vertical angles are congruent hence 8x + 36 = 5x + 60
( Notice that we just created an equation that we can use to solve for x )
We now solve for x algebraically
8x + 36 = 5x + 60
Step 1: Subtract 5x from both sides
8x - 5x + 36 = 5x - 5x + 60
Outcome: 3x + 36 = 60
Step 2: Subtract 36 from both sides
3x + 36 - 36 = 60 - 36
Outcome: 3x = 24
Step 3: Divide both sides by 3
3x/3 = 24/3
Outcome: x = 8
I hope that this made sense to you.
number 4 is x = 9 and number 5 is x = 10
Okay. Since we know that the customer before them bought one of each type of bulb, we can subtract one bulb from each type so now, here is what the store has:
5 amaryllis
6 daffodils
3 lilies
2 tulips
Next, let’s find the probability of the customer picking an amaryllis.
We know there are 5 amaryllis, so we can put that as the numerator.
Next, we have to add up all the flowers to get the denominator.
5+6+3+2
I got 16.
So now we have 5/16
So, that is our answer! 5/16, or as a decimal 0.3125, or as a percentage 31.25%.
Hope this helps! Comment if you have any questions! :)
I think it is 128 inches?????
