Answer:
b)Add the equations to eliminate x.
Step-by-step explanation:
y= x+20
y= - x+2
Result of the addition: (-x cancels x)
2y = 22
y =11
11=x +20 -9 = x
11=9+2
11 = -9 +20
Answer: 2d+3<=9
Step-by-step explanation:2 times a number is 2d plus 3 is +3 less than or equal to is <=
Mean: 10.5
Median: 10.5
Range: 5
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<u></u>
To find the mean you order the numbers then add then divide.
<u>Add</u>
8+9+10+10+10+11+11+11+12+13=105
<u>Divide</u>
105÷10=10.5
Mean = 10.5
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<u></u>
Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.
Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.
the middle number is 10.5 so therefore it is the median.
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<u></u>
To find the range you subtract the biggest number to the smallest number.
<u>Subtract</u>
13-8=5
Therefore 5 is the range
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.
Answer:
17. z=39/sin45=
y=39/tan60=
x=y/sin60=
19. x=
=6
y=2x=12
z=
Step-by-step explanation:
17.
because:sin45=39/z
so: z=39/sin45=
then: tan60=39/y
so: y=39/tan60=
last: sin60=y/x
so: x=y/sin60=
19.
because: tan60=
/x
so: x=
=6
then: sin30=x/y
so: y=x*sin30=2x=12
last: sin45=y/z
so: z=sin45*y=