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
Distribute the 2 to get the pink box
10x + 2y = 18
Then if we are subtracting the bottom equation from the pink box
10x + 2y = 18
-(10x -7y = -18)
9y = 36
y = 4
Answer:
v=2571.13667 mm^3
Step-by-step explanation:
A marble is a sphere, and the volume of a sphere can be found using:
We need to find the radius, and we know that the radius is 1/2 of the diameter
r=d/2
r=17/2
r=8.5
Now we can substitute 8.5 in for r, and 3.14 in for pi
Answer:
B and D
Step-by-step explanation:
A can't be correct because the length of a segment is always positive. B is correct because we have to take the absolute value of the distance between endpoints to find the length of the segment. C is not correct because AC is obviously longer than BC so how would AB + AC = BC? D is correct because it models the Parts Whole Postulate.
Answer:
C
Step-by-step explanation:
40+20=60
A.10(4+2) = 60
B.5(8+4) = 60
C.4(10+16) = 104
D.2(20+10) = 60
