Answer:
c. 441ft^2
Step-by-step explanation:
Area is height times length and since it's a square, safe to say that the sides are equal in length. So square root both of the given areas of the 2 square:
= 29
= 20
Now u have side b and c of the triangle, it's a right triangle so use the Pythagorean theorem a^2 + b^2 = c^2
a^2 + b^2 = c^2
a^2 + 20^2 = 29^2
a^2 + 400 = 841
subtract 4 from both sides
a^2 = 441
square root both sides
a = 21
Now the side a of the triangle is also a side of the small square therefore
21^2 = 441
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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The inequality will be 0 < x < 5 .
Each line plotted on a coordinate graph divides the graph (or plane) into two half‐planes. Before graphing a linear inequality, you must first find or use the equation of the line to make a boundary line.
The y z - plane is represented by the equation x = 0 .
As the region is between the y z - plane and the vertical plane x = 5 , we will get the inequality 0 < x < 5 .
Therefore , the inequality will be 0 < x < 5 .
To learn more on inequality follow link :
brainly.com/question/24372553
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Answer:
2
Step-by-step explanation:
m= (y-y1)/(x-x1)
Points are (3, -2) and (6, 4)
m= (-2-4)/(3-6)= -6/-3= 2
m=2 to replace ? mark
I think its the second choice
