Answer:
A-14
Step-by-step explanation:
All the angles of the triangle ABC are 60°.
Therefore it is an equilateral triangle.
All sides of an equilateral triangle are equal.
Hence, AC = 14
Answer:
-100
Step-by-step explanation:
1/5 of -125 will be -25.
So, if she deposits 1/5 of what she owes, then she will deposit $25.
Her balance will then become -100 because she paid back 25.
Her new balance is -100
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Answer:

Step-by-step explanation:
subtract by 5 on both sides. ur left with

square root b and 16. the square root cancels out b squared. find the square root of 16. the square root of 16 is 4
Answer:
b
Step-by-step explanation:
angle b = angle e = 90 (given) R
if ac = df H
bc = ef (given) S