= <u>187.3 yards</u>
Step-by-step explanation:
The set-up will represent a triangle whereby the :
- Width = Height = 150 yards
- Diagonal = Hypotenuse = 240 yards
- Length = Base = ?
Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m
Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.
<h3>What is the surface area of sphere?</h3>
The surface area of sphere is given by A = 4πr² where r = radius of sphere
<h3>Radius of the sphere</h3>
Making r subject of the formula, we have
r = √(A/4π)
Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.
So, A = 78.5 m²
Substituting this into the equation for r, we have
r = √(A/4π)
r = √(78.5 m²/4π)
r = √(19.625 m²/π)
= √(6.246 m²)
= 2.499 m
≅ 2.5 m
So, the radius of the sphere is 2.5 m
Learn more about radius of sphere here:
brainly.com/question/13458041
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The definition of a perfect square trinomial:
When a square of a number (3*3=9) can also add up to another number in the trinomial (3+3=6)
In my example here the equation, in order to be a perfect square trinomial, would be: X^2+6y+9
Now to look at the problem. We can instantly single out C because 10*10 is 100 but 10+10 is not five.
If we look at A we can find the root of 25 (5) but 5+5 is 10 not five. So A is incorrect
Using our previous calculation we know that 5 is our magic number. Leaving us with B and D. If we look at D we can conclude that -5*5 would be -25 but -5+5 is zero. So, it is not D
Using power of elimination we can easily conclude that B is the correct answer. If you wish to check: (5+5=10) (5*5=25)
Answer: B
Hope this helped!
The distributive property will show you how you can state the arrays.
1) Make 135 = 100 + 35
⇒ 135 ÷ 5 = (100 + 35 ) ÷ 5
Distributive property → 100 ÷ 5 + 35 ÷ 5 =
⇒ 20 + 7 = 27
This means that 27 is the result of the division 135 ÷ 35
Then you can make one array with 20 rows of 5 tiles each, and 7 rows of 5 tiles each.
2) For the second array you can make 135 = 50 + 50 + 30 + 5
⇒ 135 ÷ 5 = (50 + 50 + 30 + 5) ÷ 5
Distributive property → 50 ÷ 5 + 50 ÷ 5 + 30 ÷ 5 + 5 ÷ 5
⇒ 10 + 10 + 6 + 1 = 27
Which also shows that 27 is the result of 135 ÷ 5
Therefore, you can make an array with 10 rows plus 10 rows, plus 6 rows, plus 1 row, each of 5 tiles.
If there were 1000 sheets of paper, then the thickness of each sheet would be 1.875 in divided by 1000.
1.875/1000 = 0.001875
Since there are 500 sheets of paper, each one is twice as thick as 0.001875, so each sheet is 0.00375 inches thick. 0.015 is much greater than 0.00375, so it must be incorrect.