Answer:
17,792.3792
Step-by-step explanation:
you times each number for example in this case 2 times 6 ,2 times 5 ,times 4,2,3 then do the exact with the other numbers on a different row then add a zero every time you go to the next row after add everything together and you get your answer
From the figure , it is quite clear that the sides AB and AC have the same measure , i.e. , 8 units .
we know that ,
angles opposite to equal sides are equal.
therefore ,
∠B = ∠C = 30°
Now ,
angle sum property of a ∆ states that the sum of all the angles of a triangle equals 180°
thus ,
therefore ,
option ( c ) 120° is correct .
hope helpful ~
Answer:
We can set up a system of equations.
x + y = 111
0.25x + 0.10y = 18.30
x + y = 111
Subtract 'y' to both sides:
x = -y + 111
Plug in '-y + 111' for 'x' in the 2nd equation:
0.25(-y + 111) + 0.10y = 18.30
Distribute 0.25 into the parenthesis:
-0.25y + 27.75 + 0.10y = 18.30
Combine like terms:
-0.15y + 27.75 = 18.30
Subtract 27.75 to both sides:
-0.15y = -9.45
Divide -0.15 to both sides:
y = 63
Plug this back into any of the two equations to find the 'x' value.
x + y = 111
x + 63 = 111
Subtract 63 to both sides:
x = 48
So there are 48 quarters and 63 dimes.
Step-by-step explanation:
Hope This Helps!
Variance is the average of the square of the differences of each data with the mean. To calculate for the variance, we first calculate for the mean. Then, we subtract each data with the mean. Next, each difference would be squared and added. The resulting value would be divided on how many data are used. We calculate as follows:
Mean = <span>9 + 7 + 6.5 </span>+ 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 / 10
Mean = 6.4
Squared of the sum of the differences = (9-6.4)^2 + (7-6.4)^2 + (6.5-6.4)^2 + (7.5-6.4)^2 + (7-6.4)^2 + (8-6.4)^2 + (5-6.4)^2 + (6-6.4)^2 + (7.5-6.4)^2 + (8-6.4)^2 = 17.15
Variance = 17.15 / 10 = 1.715