On a scale drawing, a building is 5.5 tall. If the scale if the drawing is 1 inch: 8 ft, how tall is the building
1 answer:
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Answer:
4.5 cm.
Step-by-step explanation:
We have been given that circle O has a circumference of approximately 28.3 cm.
We will use circumference formula to solve for the radius of our given circle.
Upon substituting the measure of circumference in above formula we will get,
Therefore, the radius of circle O is 4.5 cm.
One complete revolution of the minute hand sweeps a central angle of 360° which is equivalent to 60 minutes.
That is, the minute hand creates
(360°/(60 min) = 6 degrees/min.
From 3:35 to 3:55 is 20 minutes.
It sweeps a central angle of
(20 min)*(6 deg/min) = 120°
Because 360° = 2π radians,
120° = (120/360)*2π = (2π)/3 radians
Answer:
In decimals, this is 2.1 radians (nearest tenth)
Part 2:
Because the minute hand is 4 inches long, the length of the arc swept is
(4 in)*(2π/3 radians) = 8π/3 inches
Answer:
In decimals, this is 8.4 inches (nearest tenth).
That is, the minute hand creates
(360°/(60 min) = 6 degrees/min.
From 3:35 to 3:55 is 20 minutes.
It sweeps a central angle of
(20 min)*(6 deg/min) = 120°
Because 360° = 2π radians,
120° = (120/360)*2π = (2π)/3 radians
Answer:
In decimals, this is 2.1 radians (nearest tenth)
Part 2:
Because the minute hand is 4 inches long, the length of the arc swept is
(4 in)*(2π/3 radians) = 8π/3 inches
Answer:
In decimals, this is 8.4 inches (nearest tenth).
<h3><u>Solution</u>:-</h3>
The equation of any straight line can be written as in slope intercept form as -
where,
- m is its slope
- c is its y-intercept.
<em><u>Given equation:- </u></em>
<u>Arranging it in slope intercept form by transposing 5x to RHS </u>
Comparing the equation y = -5x +10 with the standard form of the equation, we get -
Thus , 5 is our required answer.