Answer:
21 cm
Step-by-step explanation:
Answer:
The answer is R
Explanation:
Since there are 4 sides, we divide 360 by 4 to find the amount needed to turn to move from one side to another. So we move P one side, landing on Q, then we move it 3 sides counter-clockwise (270/90=3 sides), landing on R
Hope it helps!
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:
Below
Step-by-step explanation:
The equations are:
● y = 8x + 5
● -y = -8x + 5 => y = 8x - 5
Both lines have the same slope wich means that they are parallel