Answer:
Step-by-step explanation:
A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.
Finding z
z^2 + z^2 = (24√2) Combine the left
2z^2 = 24^2 * 2 Divide both sides by 2
2z^2/2 = 24^2/2
z^2 = 24^2 Take the square root of both sides
√z^2 = √24^2
z = 24
Finding x and y
The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.
Tan 60 = opposite over adjacent
sqrt(3) = Perpendicular / z Multiply both sides by z
z*sqrt(3) = perpendicular
The above calculation tells us the perpendicular is 24
z*sqrt(3) = 24 Divide by sqrt 3
z = 24/√3
z = 24/1.73
z = 8√3
Finding x
Use Pythagoras to determine x
Perpendicular^2 + (8√3)^2 = x^2
24^2 + 8^2*3 = x^2
576 + 192 = x^2
768 = x^2
√x^2 = √768
x = 27.71
Answer:
5
Step-by-step explanation:
In order to do this, you plug the point C (5,6) and the point D (2,2) into the distance formula, which was provided below. x2-x1 is 3, and that squared is 9. y2-y1 is 4, and that squared in 16. When adding 9 and 16 together, you get 25. When taking the square root of 25, you get + or - 5, but since distance cannot be negative on the coordinate plane, you get 5.
<h2>
Answer:</h2>
First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.
<u>For slope:</u>
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Slope (m) = 7
<u>For y-intercept:</u>
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Y-intercept (b) = 26
Using this information, we can now create the equations for this line.
Formulas:
Slope formula: <em>y₂ - y₁/x₂ - x₁</em>
Slope-intercept form: <em>y = mx + b</em>
Point-slope form: <em>y - y₁ = m(x - x₁)</em>
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*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>
Line1: y = -x + 2
Line2: y = 2x - 1
Solution: (1,1)
Answer:
3 + 5 + 7 = 15
they have 15 quarters altogether so answer is 15q
