Answers:
x = 6
y = 6*sqrt(2)
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Explanation:
To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios
tan(45) = 1
tan(angle) = opposite/adjacent
tan(45) = x/6
1 = x/6
6*1 = x
x = 6
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sin(45) = 1/sqrt(2)
sin(angle) = opposite/hypotenuse
sin(45) = 6/y
1/sqrt(2) = 6/y
1*y = sqrt(2)*6
y = 6*sqrt(2)
3/4 ÷ 1/5
= 3/4 × 5/1
= 15/4
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Answer:
c
Step-by-step explanation:
A is True
B is True
D is true
Answer:
6.7
Step-by-step explanation:
To solve this problem, we need to calculate the distance between two points in the XY coordinate plane.
The formula to calculate this distance is:
d = sqrt(dx^2 + dy^2)
where dx is the difference between the X coordinate of the points, dy is the difference between the Y coordinate of the points, and d is the distance.
(sqrt is the square root of what is in the parenthesis)
The first point (April's king) has X=4 and Y=2, the second point (the opponent's king) has X=7 and Y=8.
So, we have that dx = 4-7 = -3 and dy = 2-8 = -6
Now, we calculate the distance:
d = sqrt[ (-3)^2 + (-6)^2 ] = sqrt(9+36) = sqrt(45) = 6.7082 = 6.7
