H< 30
That is your inequality.
Answer:
B.
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
11.50x7=80.50
5x13=65
80.50+65=145.50
The diameter is 10:
To do this we must use the distance formula:
Distance =√(x2−x1)^2+(y2−y1)^2
So, if we substitute in our values for the origin and endpoint (origin is 1 values, endpoint is 2)
D=✓(-4-0)^2+(-3-0)^2
Simplified, this is
D=✓16+9
D=✓25
D=5
so, the distance from the center of the crcle to the endpoint is 5 (making the radius)
multiply by two, and the diameter of the circle is 10 :)
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
