Option (A) : least: 10 hours; greatest: 14 hours
The function f(x) = sin x has all real numbers in its domain, but its range is
−1 ≤ sin x ≤ 1.
How to solve such range questions?
Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question
Given: d(t) = 2sin(xt) + 12
= −1 ≤ sin (xt) ≤ 1.
= −2≤ 2 sin (xt) ≤ 2.
= 10 ≤ 2sin (xt) + 12 ≤ 14
= 10 ≤d(t) ≤ 14
Thus least: 10 hours; greatest: 14 hours
Learn more about range of trigonometric ratios here :
brainly.com/question/14304883
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Equation of an ellipse:
(x-h)²/a² + (y-k)²/b² = 1
Since it passes through the origin (0,0) , then h = k = 0 hence the equation:
(x-0)²/a² + (y-0)²/b² = 1
x²/a² + y²/b² = 1
2a = major axis = 2.|5| + |-5| = 10. then a = 5 and a² = 25
2b = minor axis = 2.|3| + |-3| = 6. then b = 3 and b² = 9
Then the final equation is:
x²/25 + y²/9 = 1
Answer:
Rational
Step-by-step explanation:
Any number that can be represented as a fraction is rational. 13.654 can be represented as the mixed number 13 and 654/1000, making it a rational number.
Answer:
Hi! The answer is 
Step-by-step explanation:
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Answer:
midpoint = (3,3.5)
distance = 5
Step-by-step explanation:
midpoint = (x1+X2/2, y2+y2/2)
=(5+1/2, 5+2/2)
=(6/2, 7/2)
=(3, 3.5)
distance= √(x2-x1)^2 -(y2-y1)^2
=√(1-5)^2 -(2-5)^2
= √ 16+9 =√25 =5
