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Blababa [14]
3 years ago
15

The second hand of an analog clock completes an entire rotation in 60 seconds, and the length of the seconds hand is 8 inches. a

pproximately how far does the tip of the seconds hand travel in 2 minutes and 15 seconds
Mathematics
1 answer:
g100num [7]3 years ago
3 0
Circumcerence = distance travelled in one full rotation = 2 x π x 8 = 16π

for 2 minutes and 15 seconds,
multiply 16π by 2.25 as 2 minutes is twice the distance of one rotation and 15 seconds is a quarter more

therefore answer is 36π = 113.1 inches
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5 quarts of oil for her car. How many fluid ounces is that
zysi [14]
1 quart = 31.9995 fluid ounces

5 quarts = 159.997 fluid ounces.
4 0
3 years ago
Aaron has a triathlon. Sunday he bikes 12 5/8 miles and swims 5 2/3 miles. Monday, he runs 6 3/8 miles. How many total miles Aar
Alla [95]
Let’s put these into one fraction each:

Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles

Swimming:
= (5*2)/3 miles
= 10/3 miles

Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4

Now we add all the distances up:
= (15/2) + (10/3) + (9/4)

Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.

Hope this helps!
4 0
3 years ago
Sean used the $1,200 he got from his graduation party to open a savings account. If the account earns 1% interest each month and
Greeley [361]

Answer:

\$1,920

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=5*12=60\ months\\ P=\$1,200\\r=0.01

substitute in the formula above

A=\$1,200(1+0.01*60)

A=\$1,200(1.6)=\$1,920

6 0
3 years ago
What is h is tripled and then decreased by 8
vlada-n [284]
It'd look like this as an equation:

3h-8



5 0
3 years ago
Exercises gives the positions s = f(t) of a body moving on a coordinate line, with s in meters and t in seconds.
SashulF [63]

Hi there!

a. Find the displacement by plugging in the values of the interval:

f(2) - f(0) = 0 - 2 = -2 meters.

Average velocity is the slope, thus:

v_{avg} = \frac{f(2) - f(0)}{2 - 0} = \frac{0 - 2}{2 - 0} = -1

The average velocity for the interval is -1 m/s.

b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:

f(t) = t² - 3t +2

f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.

Acceleration is the second derivative, thus:

f''(t) = 2. The acceleration is 2 m/s² for both endpoints.

c. When the body changes direction, the first derivative changes signs. Thus:

0 = 2t - 3

3 = 2t, t = 1.5 sec. This is where the body changes direction.

8 0
2 years ago
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