This is the concept of linear proportionality;
We are required to find the height of the tower in feet. The height of the tower will be found as follows;
[height of tower]/[length of the shadow of tower]=[height of post]/[length of shadow of the post]
height of the tower =h
height of the shadow=100ft
height of post=4 ft 6in=4 1/2 ft= 9/2 ft
length of the post's shadow=3 ft 4 in 3 1/3 ft=10/3 ft
N/B 1 ft= 12 inches
thus;
h/100=(9/2)/(10/3)
multiplying both sides by 100 we get:
h=(9/2)/(10/3)*100
h=9/2*3/10*100
h=135 ft
the answer is 135 ft
1 2/5 x 3 4/5 = 5.32 -- with calculator
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You can change mixed fractions to improper fractions.
1 2/5 = 1 x 5 + 2 = 7 = 7/5
3 4/5 = 3 x 5 + 4 = 19 = 19/5
7/5 x 19/5 = 133/25 = 5.32
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To make sure you can then turn the improper fractions to decimals.
7/5 = 1.4
19/5 = 3.8
1.4 x 3.8 = 5.32
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Whenever I get mixed fraction questions, I always check it in these different excess ways just to make sure :3 Hope it helped..
Answer:
the answer should be 44 dollar correct me if im wrong
Step-by-step explanation:
X = advance
y= same day
x+y=70
30x+15y=1650
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30x+15y=1650
- x+y=70 (x15) -> 15x+15y=1050
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30x+15y=1650
-15x+15y=1050
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15x=600
x=600/15
x=40
so now u can insert the price of x AKA the price of the advanced ticket to find our the price of the same day ticket.
x+y=70
so
40+ y=70
y=70-40
y=30
x = advance =40
y= same day =30
Answer:
The 9th term is 17179869184
Step-by-step explanation:
Here we have that;
The divisors of 1 = 1 which is 1 less than 1*2
The sum of the divisors of 2 = 1 + 2 = 3 which is 1 less than 2*2
The sum of the divisors of 4 = 1 + 2 + 4 which is 1 less than 4*2
The sum of the divisors of 8 = 1 + 2 + 4 + 8 which is 1 less than 8*2
The sum of the divisors of 32 = 1 + 2 + 4 + 8 + 16 + 32 which is 1 less than 32*2
The sum of the divisors of 256 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 which is 1 less than
The next numbers are therefore,
32 × 256 = 8192
256 × 8192 = 2097152 and the 9th term is therefore;
8192 × 2097152 = 17179869184.
