The width of the TV is 27.9 inches
Step-by-step explanation:
Given,
Diagonal of TV = 32 inch
Height of TV = 15.7 inch
The diagonal makes the TV into a right triangle,
Therefore,
Diagonal = hypotenuse = c = 32 inch
Height = perpendicular = a = 15.7 inch
Width = base = b
Using pythagoras theorem
Taking square root on both sides
Rounding off to nearest tenth
b = 27.9 inches
The width of the TV is 27.9 inches
Keywords: Pythagoras theorem, square root
Learn more about square root at:
#LearnwithBrainly
circumference = diameter x PI
3300 *3.14 = 10,362 feet
Answer:
a = length of the base = 2.172 m
b = width of the base = 1.357 m
c = height = 4.072 m
Step-by-step explanation:
Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?
lets call a = length of the base
b = width of the base
c = height
V = a.b.c = 12
Area without the top:
Area = ab + 2bc + 2ac
Cost = 12ab + 8.2bc + 8.2ac
Cost = 12ab + 16bc + 16ac
height = 3.width
c = 3b
Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab
abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²
Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b
C(b) = 48b² + 240/b
C'(b) = 96b - 240/b²
Minimum cost: C'(b) = 0
96b - 240/b² = 0
(96b³ - 240)/b² = 0
96b³ - 240 = 0
96b³ = 240
b³ = 240/96
b³ = 2.5
b = 1.357m
c = 3b = 3*1.357 = 4.072m
a = 4/b² = 2.172m
Answer:
301.44 inches
Step-by-step explanation:
The spoke is from the center of the wheel to the edge, so its length is the radius, or 16 inches.
You want to find the distance that one rotation will take you, so you need the wheel's circumference.
Circumference = 2πr
2 x 3.14 x 16 = 100.48
100.48 inches is the distance of only 1 full rotation, so you just need to multiply 100.48 by 3 to get the distance of 3 rotations.
100.48 x 3 = 301.44
Answer:
15%
Step-by-step explanation:
If 10% of the 25% of 8th graders who were male, 15% would be females because 25-10= 15. So, 15% would be my answer.
