Dominics son is 45inches tall
<u>Step-by-step explanation:</u>
Let his sons height be 'h'
If Dominic is 72 inches and casts a shadow of 60 inches. His son casts a shadow of 50 inches.
Then We can say that,
h = 50 x (72/60)
h = 45 inches
Dominics son is 45inches tall
<span>To find the z-scores, find the difference in the number of inches for each value from the mean and then divide that by the standard deviation. For women at 72 inches (6'), this would be (72-64) / 2.7, or a z-score of +2.963. For a male at 72 inches, this would be (72-69.3)/2.8, or +0.964. This shows that the woman at 6 feet tall is more rare in the distribution than a man at 6 feet tall.</span>
Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Step-by-step explanation:
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Answer:
The total change in the amount of money in my account is $ 9.60
Step-by-step explanation:
Given:
Amount of money deposited each week, 
Amount of money withdrawn each week, 
∴ Amount of money deposited in 4 weeks, 
∴ Amount of money withdrawn in 2 weeks, 
Now, amount of money left in the account is the difference of the two amounts.
So, amount left = 
Therefore, the total change in the amount of money in my account is given as:
Total change = Initial amount after 4 weeks - Final amount in the account.
Total change = $ 50 - $40.4 = $ 9.6
The volume of a sphere of radius r is given by
For your given conditions, the volume of 1/2 a sphere becomes
Seems to match your 2nd choice:
... 1 over 24 over 322 over 7(83)
