Answer:
Dan = 68
bobbi = 62
Step-by-step explanation:
Let Bobbi's height = b
Let Dan's height = d
the following equations can be determined from the question
b + d = 130 eqn 1
3b - d = 118 eqn 2
Multiply eqn 1 by 3
3b + 3d = 390 eqn 3
Substract eqn 2 from 3. this gives
4d = 272
d = 68
Substitute for d in eqn 1
b + 68 = 130
b = 62
The difference between the sum of all eight positive integral divisors of 66 and the sum of all eight positive integral divisors of 70 is zero.
<h3>How to find the difference between the integral divisors?</h3>
First let's find the integral divisors. We can write 66 as a product of prime numbers as:
66 = 33*2 = 2*3*11
Then the integral divisors of 66 are:
2
3
11
2*3 = 6
2*11 = 22
3*11 = 33
1 (trivially)
66 (trivially)
The sum gives:
2 + 3 + 11 + 6 + 22 +33 + 1 + 66 = 144
For 70 we have:
70 = 7*10 = 2*5*7
Then the integral divisors are:
1
70
2
5
7
2*5 = 10
2*7 = 14
5*7 = 35
The sum gives:
1 + 70 + 2 +5 + 7 + 10 + 14 + 35 = 144
Then the difference between these two sums is:
144 - 144 = 0
If you want to learn more about integral divisors:
brainly.com/question/4785696
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30°
Here's why:
Using the well-known Pythagorian theorem we can reckon how long the hypotenuse is:
c^2=6^2+36*3 -> c=12
Knowing that sin(a)=a/c=6/12=0.5 the measure of the angle in degrees is 30°
Hope could help :)
B. <span>No, the answer is not reasonable. It should be about 2 miles.
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