Given that the diameter: d= 0.0625 inch.
So, radius of the wire : r = 
= 0.03125 inch
Now the formula to find the cross-sectional area of wire ( circle) is:
A = πr²
= 3.14 * (0.03125)² Since, π = 3.14 and r = 0.03125
=3.14 * 0.000976563
= 0.003066406
= 0.00307 (Rounded to 5 decimal places).
Hence, cross-sectional area of a wire is 0.00307 square inches.
Hope this helps you!
Answer:
x = 7, y = 6
Step-by-step explanation:
solve for y for the first equation
2x + y = 20
-2x -2x , eliminate 2x
y = 20-2x
now that we have found y, substitute the y in for the second equation
-5y = -6x + 12
-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5
-100+10x = -6x + 12, we multiplied everything from the parathesis by -5
+100 + 100, eliminate -100
10x = -6x + 112
+6x +6x , eliminate 6x
16x = 112 , solve for x
x = 7
then y = 20 - 2x = 20 - 2*7 = 6
check:
2 * 7 + 6 = 20
20 = 20
-5 * 6 = -6 * 7 + 12
-30 = -42 + 12
-30 = -30
The scale model of a building 3 inches tall if the building is 90 feet tall is 2:5
<h3>Scaling of measurement</h3>
Scaling is the way of enlarging or reducing the image of an object.
Given scale model of a building is 3 inches, if the building is 90feet tall, to write the scale;
Convert both measures to same units
Since 1 feet. = 12 in
90 feet = 90/12 in = 7.5 in
Take the ratio
3 : 7.5 = 30: 75
Reduce to lowest term
30: 75 = 2 : 5
Hence the scale model of a building 3 inches tall if the building is 90 feet tall is 2:5
Learn more on scale model here: brainly.com/question/261465
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Answer:
8
Step-by-step explanation:
32/4
Answer: m ⇒ e ∨ p
Step-by-step explanation:
First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.
- In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:
⇒ = " only if"
∨ = "or"
- Convert the phrases into variables where:
m = " You can see the movie"
e = "You are over 18 years old"
p = " you have the permission of a parent"
- Construct the statement sequentially.
You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)
- Remove the phrases and you'll have your answer:
m ⇒ e ∨ p
