Based on the number of degrees that 60 minutes is, we can infer that 20 minutes will be 120°.
A total revolution around a clock is 360° and this translates to 60 minutes.
This means that every minute is:
= Number of degrees in total / Number of minutes in revolution
= 360 / 60
= 6° per minute
If there are 20 minutes, the number of degrees is:
= 6 x 20
= 120°
In conclusion, 20 minutes on the clock is 120°.
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Answer:
∠3 = 62°
Step-by-step explanation:
The diagonals of a kite are at right angles to each other, hence
Triangle containing ∠ 3 is a right triangle
The sum of the 3 angles in a triangle = 180°, thus
90 + 28 +∠3 = 180
118 + ∠3 = 180 ( subtract 118 from both sides )
∠3 = 62°
The distance from the safe zone after t seconds is .
Given
Rachel is a stunt driver.
One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.
After 4 seconds of driving, she was 70 meters away from the safezone.
A linear function containing one dependent and one independent variable.
It is represented in the form of;
Where m is the slope.
Let, D(t) = the distance to the safe zone (measured in meters)
t = time (measured in seconds)
At seconds t = 4 seconds D(t1) = 70 meters
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.
Hence, the linear function expression is;
The value of b is;
Therefore, the distance from the safe zone after t seconds is .
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Answer: The required function is,
D(t) = 166 - 4 t
Step-by-step explanation:
Here, the speed of the stunt driver = 24 meters per seconds,
⇒ The distance he will cover in 4 seconds = 24 × 4 = 96 meters
( Distance = speed × time )
According to the question,
The distance of the safe zone from the building where did he escape = 70 meters + The distance he covers in 4 seconds
= 70 + 96
= 166 meters
Hence, if he is driving with the constant speed of 24 meters per minutes,
Then, his distance from the safe zone after t seconds = 166 - 24 t
⇒ D(t) = 166 - 24 t
Which is the required function.
Jared runs 60 yards and Peter runs 90 yards if Jared is 10 years old and Peter is 15 years old. Together they run 150 yards.
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that:
Jared is 10 years old and Peter is 15 years old. Together they run 150 yards.
The ratio of their ages:
= 10/15
= 2/3
Let x be the common number:
2x + 3x = 150
5x = 150
x = 30
2x = 2(30) = 60 yards
3x = 3(30) = 90 yards
Thus, Jared runs 60 yards and Peter runs 90 yards if Jared is 10 years old and Peter is 15 years old. Together they run 150 yards.
The complete question is:
The distance of each boy depends on the ratio of their ages.
Jared is 10 years old and Peter is 15 years old. Together they run 150 yards. How far does each brother run?
Learn more about the ratio here:
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