9514 1404 393
Answer:
Perimeter: 17 inches
Area: 8 square inches
Step-by-step explanation:
The ratio of perimeters is the same as the similarity ratio.
JKLM perimeter / ABCD perimeter = P/68 = 1/4
Multiplying by 68, we get ...
P = 68/4 = 17 . . . . inches
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The ratio of areas is the square of the similarity ratio.
JKLM area / ABCD area = A/128 = (1/4)^2
Multiplying by 128, we get ...
A = 128/16 = 8 . . . . square inches
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Perimeter = 17 inches
Area = 8 square inches
The coordinates consist of x coordinate and y coordinate
(x₁,y₁) = (-1,7)
(x₂,y₂) = (3,-3)
To find the midpoint of x coordinate, use this following formula
x midpoint = (x₁ + x₂)/2
x midpoint = (-1 + 3) / 2
x midpoint = 2/2
x midpoint = 1
To find the midpoint of y coordinate, use this following formula
y midpoint = (y₁ + y₂)/2
y midpoint = (7 + (-3))/2
y midpoint = (7 - 3)/2
y midpoint = 4/2
y midpoint = 2
ANSWER
The midpoint is (1,2)
Csc a - sin a = cos a cot a
1/sin a - sin a = cos a (cos a / sin a)
(1 - sin^2 a)/sin a = cos^2 a/sin a
cos^2 a/sin a = cos^2 a/sin a
Therefore, the given equation is an identity.
It takes 1.5 hours for 4 workers to paint the same room
<em><u>Solution:</u></em>
Given that 3 workers can paint a room in 2 hours
To find: Time taken for 4 workers to paint the same room
Assume the time needed to paint the room is inversely proportional to the number of worker
Where, "k" is the constant of proportionality
<em><u>3 workers can paint a room in 2 hours</u></em>
Substitute number of workers = 3 and time = 2 hours
Therefore,
To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression
Thus it takes 1.5 hours for 4 workers to paint the same room
20,000 would be the answer
