A square's diagonal has a length equal to √(2) times the length of its sides. So if the side length is <em>x</em>, then the diagonal is such that
√(2) <em>x</em> = 10 cm
→ <em>x</em> = 10/√(2) cm ≈ 7.07 cm
The perimeter of a square is 4 times its side length, so the perimeter is
4 (10/√(2) cm) = 40/√(2) cm ≈ 28.3 cm
which makes 28.4 cm the closest answer.
9.5 mm, because the radius is half of the diameter
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
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Answer:
Maximum height of quarter tower = 9.6 inches.
Step-by-step explanation:
The thickness of a quarter = 
inches
Weight of a quarter = 1 ounce
The maximum weight that could safely hold = 3 pounds.
<u>The conversion factor for ounce to pound is 1 ounce = 0.0625 pound</u>
The number of quarter used in the tower = no of ounces equivalent to 3 pounds.
No of ounces equivalent to 3 pounds = 
No of ounces equivalent to 3 pounds = 48
So the height of quarter tower = 48 \times inches
= 9.6 inches.
<em>multiply both sides by 5 </em> 3(15k+10)=5(12k-9)
<em>get rid of the brackets</em> 45k+30=60k-45
<em>take away 45k to both sides</em> 30=15k-45
<em>plus 45 to both sides</em> 75=15k
<em>divide both by 15</em> k=5
