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Answer: Option 2. Segment TS</h3>
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Explanation:
Recall that the sine of an angle is equal to the ratio of opposite over hypotenuse.
In other words,
sin(angle) = opposite/hypotenuse
With respect to reference angle theta, the side TS is opposite this angle. It is the leg furthest from the angle. The hypotenuse is the longest side segment TO. The hypotenuse is always opposite the 90 degree angle.
For a unit circle, the radius is 1, so segment TO is 1 unit long.
Therefore,
sin(angle) = opposite/hypotenuse
sin(theta) = TS/TO
sin(theta) = TS/1
sin(theta) = TS
Answer:
y = 4
x = -1
Step-by-step explanation:
4x + 2y = 4 Eq. 1
3x - y = -7 Eq. 2
from the Eq. 2
3x = y - 7
3x + 7 = y Eq. 3
Replacing the value of the Eq. 3 in the Eq. 1
4x + 2(3x+7) = 4
4x + (2*3x + 2*7) = 4
4x + (6x + 14) = 4
10x + 14 = 4
10x = 4 - 14
10x = - 10
x = -10/10
x = -1
from the Eq. 3
3x + 7 = y
3*-1 + 7 = y
-3 + 7 = y
4 = y
Check:
from the Eq. 1
4x + 2y = 4
4*-1 + 2*4 = 4
-4 + 8 = 4
Answer:
140 = 40 + 10x
Step-by-step explanation:
The watch is 140 in total. He can pay 40 dollars currently. 10x is the amount of payments there are. How much he can pay with each payment (10x) is unknown so that is why there is the variable.
Answer:
$10,479.72
Step-by-step explanation:
Use the Compound Amount formula for continuous compounding:
A = Pe^(rt), where r is the interest rate as a decimal fraction.
Here,
A = $8000e^(0.09 · 3), or $8000e^0.27
The accumulated value will be $8000(1.31) = $10,479.72
