Answer:
x = 15
y = 2
Step-by-step explanation:
X-4y=7 | ×6 |
-6x-3y=12 | ×1 |
6x - 24y = 42
-6x - 3y = 12
___________+
27y = 54
y = 54/27
y = 2
x - 4y = 7
x - 4(2) = 7
x - 8 = 7
x = 7 + 8
x = 15
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
11, 15, 26, 41, could be an answer
18.85 I hope this helps you :)
<span>import math
def calculateDistance(x1,y1,x2,y2):
dist = math.sqrt((x2 - x1)**2 + (y2 - y1)**2)
return dist
distance = calculateDistance(2,4,6,8)
print distance</span>
