Smallest to largest 1/6 < 4/10 < 1/2 < 7/12 < 2/3
Y=-4 is linear, anything not linear would be a quadratic in this instance
Answer:
A)
58/3 = 19.33 hours
B)
84.00 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through 360 degrees or 2π radians.
A)
In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;
(24/360) = (x/290)
solving for x;
x = (24/360) * 290 = 58/3 = 19.33 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;
(24/2π radians) = (x/7π radians)
Solving for x;
x = (24/2π radians)*7π radians = 84 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.
The distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.
<h3>What is right angle triangle?</h3>
A right angle triangle is a triangle in which, one of the angle measures equals to the 9 degrees.
Given information
The angle of depression from top of the slide to the pool is 31. 66°.
The height of the slide is 46 feet.
Image is attached below for the given problem.
As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.
Thus,
Hence the distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.
Learn more about the right angle triangle here;
brainly.com/question/2028228
Step-by-step explanation:
1.5 : 2.5
= 1.5/2.5
15/25
3/5
the ratio is 3 : 5
