The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.
But:
circumference is given by:
C=2*π*radius
The distance traveled by the hand in 12 hours will be:
2**36=76π mm
The distance traveled in 45 min will be:
0.75/12 *72π=4.5π mm
in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.
Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:
2*π*54mm=108π mm.
Hence;
in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm
Answer: B
Step-by-step explanation:
You can see that if you were going to cut the graph down the middle, if would be symmetrical.
To convert the improper fraction
![\frac{1000}{859}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1000%7D%7B859%7D%20)
into a mixed number, you first want to
divide the numerator (1000)
by the denominator (859)
:
![1000 \div 859 = 1 R141](https://tex.z-dn.net/?f=1000%20%5Cdiv%20859%20%3D%201%20R141)
The
quotient, which is 1, will be your whole number part of your mixed number. The
remainder, 141, will become the numerator of the fraction part of your mixed number. The
original denominator of your improper fraction, 859, is still the denominator of your mixed number. So your mixed number form of your improper fraction is:
Your answer is ![1 \frac{141}{859}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B141%7D%7B859%7D)
Answer:
The slope of the regression line is 0.01.
Step-by-step explanation:
The given regression equation for this bird is
.... (1)
where, DD is dive duration measured in minutes, and D is depth in meters.
The slope intercept form of a line is
.... (2)
where, m is slope and b is y-intercept.
On comparing equation (1) and (2), we get
Since, m=0.01, therefore the slope of the regression line is 0.01.
Answer:
hello dude
x - 9 = - 12
x = 9 -12
x = -3
HAVE A NİCE NİGHT
Step-by-step explanation:
Greetings from Turkey