m<CAE = 90: definition of perpendicular
p.s. ty for this!
Answer: The dimensions are: " 1.5 mi. × ³⁄₁₀ mi. " .
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{ length = 1.5 mi. ; width = ³⁄₁₀ mi. } .
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Explanation:
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Area of a rectangle:
A = L * w ;
in which: A = Area = (9/20) mi.² ,
L = Length = ?
w = width = (1/5)*L = (L/5) = ?
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A = L * w ; we want to find the dimensions; that is, the values for
"Length (L)" and "width (w)" ;
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Plug in our given values:
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(9/20) mi.² = L * (L/5) ; in which: "w = L/5" ;
→ (9/20) = (L/1) * (L/5) = (L*L)/(1*5) = L² / 5 ;
↔ L² / 5 = 9/20 ;
→ (L² * ? / 5 * ?) = 9/20 ?
→ 20÷5 = 4 ; so; L² *4 = 9 ;
↔ 4 L² = 9 ;
→ Divide EACH side of the equation by "4" ;
→ (4 L²) / 4 = 9/4 ;
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to get: → L² = 9/4 ;
Take the POSITIVE square root of each side of the equation; to isolate "L" on one side of the equation; and to solve for "L" ;
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→ ⁺√(L²) = ⁺√(9/4) ;
→ L = (√9) / (√4) ;
→ L = 3/2 ;
→ w = L/5 = (3/2) ÷ 5 = 3/2 ÷ (5/1) = (3/2) * (1/5) = (3*1)/(2*5) = 3/10;
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Let us check our answers:
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(3/2 mi.) * (3/10 mi.) =? (9/20) mi.² ??
→ (3/2)mi. * (3/10)mi. = (3*3)/(2*10) mi.² = 9/20 mi.² ! Yes!
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So the dimensions are:
Length = (3/2) mi. ; write as: 1.5 mi.
width = ³⁄₁₀ mi.
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or; write as: " 1.5 mi. × ³⁄₁₀ mi. " .
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Answer:
x = 7/2 or 3.5
Step-by-step explanation:
-4p/-4 = -14/-4
p= 7/2
7/2 = 3.5
Based on the information given, it should be noted that the mean and standard deviation of Y will be 0.4899 and 0.699 respectively.
<h3>Calculating the mean.</h3>
Based on the information given, it should be noted that the probability distribution for y will be:
Y 0 1. 2
Probability 0.63. 0.25. 0.12
The mean of Y will be:
= (0 × 0.63) + (1 × 0.25) + (2 × 0.12)
= 0 + 0.25 + 0.25
= 0.49
The variance will be 0.4899. Therefore, the standard deviation will be:
= ✓0.4899
= 0.699
Learn more about mean on:
brainly.com/question/19243813
First I'm going to go through the choices with you and evaluate
each one. Then after that, I'm going to hand you a secret that
I promise is going to knock your socks off.
a- Calculate the ratio of the diameter to the radius for each circle
and show that they are equal.
-- That won't tell you anything. The ratio of the diameter
to the radius of EVERY circle is 2 .
b- Calculate the ratio of degrees to the circumference for each circle
and show that they are equal.
-- That doesn't tell you anything. The circumference
of EVERY circle subtends a central angle of 360°.
c- Calculate the ratio of the área to the circumference for each circle
and show that they are equal.
-- That doesn't tell you anything. The ratio of the area
to the circumference of EVERY circle is (radius/2).
They're only equal if the circles are the same size.
d- Calculate the ratio of the diameter to the circumference for each circle
and show that they are equal.
-- That doesn't tell you anything. The ratio of the diameter
to the circumference of EVERY circle is 1/pi. If the ratio isn't
1/pi, then you're not looking at a circle.
None of these choices tells you whether the two circles are similar.
What are you going to do ? How can you tell ? ?
Here's the surprise I promised you.
Beware of flying socks:
All circles are similar to all other circles.
Good night.