Answer:
Second hand will turn through 74π radians.
Step-by-step explanation:
There are 37 minutes left in the class. We need to find by how much angle will the second hand turn before the end of the class.
When a second hand completes one full rotation along the clock it covers 360 degrees and completes 60 seconds.
This means:
In 60 seconds, the second hand turns by 360 degrees
Since, 60 seconds = 1 minute, we can write:
In 1 minute, the second hand turns = 360 degrees
360 degrees is equal to 2π radians. So,
In 1 minute, the second hand turns = 2π radians
Multiplying both sides by 37 gives us:
In 37 minutes, the second turns = 2π radians x 37 = 74π radians
Answer:
√8 ==> 2 units, 2 units
√7 ==> √5 units, √2 units
√5 ==> 1 unit, 2 units
3 ==> >2 units, √5 units
Step-by-step explanation:
To determine which pair of legs that matches a hypotenuse length to create a right triangle, recall the Pythagorean theorem, which holds that, for a right angle triangle, the square of the hypotenuse (c²) = the sum of the square of each leg length (a² + b²)
Using c² = a² + b², let's find the hypotenuse length for each given pairs of leg.
=>√5 units, √2 units
c² = (√5)² + (√2)²
c² = 5 + 2 = 7
c = √7
The hypothenuse length that matches √5 units, √2 units is √7
=>√3 units, 4 units
c² = (√3)² + (4)²
c² = 3 + 16 = 19
c = √19
This given pair of legs doesn't match any given hypotenuse length
=>2 units, √5 units
c² = (2)² + (√5)²
c² = 4 + 5 = 9
c = √9 = 3
legs 2 units, and √5 units matche hypotenuse length of 3
=>2 units, 2 units
c² = 2² + 2² = 4 + 4
c² = 8
c = √8
Legs 2 units, and 2 units matche hypotenuse length of √8
=> 1 unit, 2 units
c² = 1² + 2² = 1 + 4
c² = 5
c = √5
Leg lengths, 1 unit and 2 units match the hypotenuse length, √5
Answer:
10 in., 18.5 in., 31.5 in.
Step-by-step explanation:
Ask me if you need step-by-step, since the problem seems to be multiple choice.
Answer:
$342.30
Step-by-step explanation:
The original price of the computer is $489. The computer is discounted 30%, which means that 30% of the price is removed from the original price.
30% of 489 is
489 * 0.3 which is $146.7
146.7 is the discounted amount, not the selling price. To find the selling price, subtract how much is discounted ( 146.7) from the original price (489).
489-146.7= 342.3
Step-by-step explanation:
60 divided by 7 = approx. 8-9 min for each task.
7 tasks per hour
