Answer:
answer below:)
Step-by-step explanation:
There are 5280 feet in one mile. So, half a mile is equal to 0.5 x 5280 = 2640 feet.
we know that
in the right triangle ABC
the value of cosine of angle x is equal to
we have
substitute the values
Find the measure of angle x
Round to the nearest whole degree
therefore
<u>the answer is</u>
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:0.60
Step-by-step explanation:
Multiply the denominator (5) and the numerator (3) by 20. Both sides multiplied equals 60 as the numerator and 100 as the denominator. After the conversions to a decimal, your answer should be 0.60 since 60/100=0.60.
