Answer: A
I hope this helps and have a wonderful day filled with joy!!
They can form the Triangle
But, they can't form right angled triangle, because in that case, largest side should be smaller than the sum of other two........
<u> 359.905 degrees</u> is the answer.
Step-by-step explanation:
when it comes to the hour hand it moves about 360 degrees in a 12 hour clock for instance let us take the time 6:15 then the calculation is
=(6+15/60) * 360÷12
= 187.5 degrees.
when it comes to the minute hand the minute hand travels 360 degrees for every 60 minutes in a 12 hour clock so if it is 5 mins past in the time 6:05 then it can be given as
15/60 * 360 = 90 degrees
Difference between the two hand can be calculated by
(Angle turned by the hour hand) - (Angle turned by the minute hand)
<u>For a smaller angle let us take 12:01 </u>
= (12+1/60) * 360÷12
=360.5
for the minute hand
=1/60 = 0.595
(Angle turned by the hour hand) - (Angle turned by the minute hand)
= 360.5 - 0.595
=<u> 359.905 degrees</u>
Answer:
The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.
Step-by-step explanation:
We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.
Let us find the sample score that corresponds to z-score of bottom 4%.
From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.
Upon substituting these values in z-score formula we will get our sample scores (x) as:


Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.
Now let us find sample score corresponding to z-score of 1.75 as upper limit.


Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.
x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.
Step-by-step explanation:
Given,
Charges for cutting small lawns =$20
Charges for cutting large lawns = $30
Total yards mowed = 6
Total amount earned = $140
According to given statement;
x+y=6 Eqn 1
20x+30y=140 Eqn 2
x+y=6 and 20x+30y=140 can be used to determine the number of each type of lawn mowed by Sarah.
Keywords: linear equation, addition
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