Sin(x) = opposite over hypotenuse
Cos(x) = adjacent over hypotenuse
Tan(x) = opposite over adjacent
Everything revolves around a right triangle.
From the given equation, "<span>sine of x equals square root of 2 over 2"
Opposite = square root of 2
Hypotenuse = 2
Adjacent = ?
Using the Pythagorean Equation: H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2
Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1</span>
In order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.
Step-by-step explanation:
Let hours of exercising horses be x --> $5 per hour = 5x
Let hours of cleaning stalls be y --> $10 per hour = 10y
Total earning = 
Total hours = 12
<u>Equation 1:</u>
5x + 10y =
<u>Equation 2:</u>
x + y 
<em>1. Multiply equation 2 by -5</em>
x + y (*-5)
5x + 10y =
-5x - 5y 
5x + 10y =
<em>2. Solve</em>
-5x + 5x -5y + 10y = -60 + 90
5y = 30
y = 6
x + y = 12
x + 6 = 12
x = 6
Therefore, in order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.
Keywords: Simultaneous, hours, equations
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The radius of a circle is the distance from the center of the circle to any point on its circumference. The easiest way to find the radius is by dividing the diameter in half.
Correct options are -10 and 10
-7 + (-10² - 19)³/⁴ = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
-7 + (10² - 19)^3/4 = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
Rest options are incorrect
Answered by Gauthmath must click thanks and mark brainliest
