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
present value of annuity = annual payment * [ 1 - (1+i)^-n ]/i
=>
12500 = 128.04 * [1-(1+9%/12^-n]/9%/12
=>n = 42 payments
Apply a law of exponents. When multiplying you add the exponents:-
2^-3 * 2^x * 2^(x+2)
= 2 ^(-3 + x + x + 2)
= 2^(2x - 1) Answer
I can’t understand the question. If you’re looking at how many servings does a cup of flour make, the answer will be 8.
24 servings/3 cups
You use the expression:
X/60 = 85/100
You will have to multiply 60 by 85, then divide it by 100 which is...
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