You measured the width of your front door to be 3 feet and 2 inches. The chair you are trying to get through the door measured t
1 answer:
Answer:
The door is <u>1 foot 6 inches</u> wider than the chair.
Step-by-step explanation:
Given:
You measured the width of your front door to be 3 feet and 2 inches.
The chair you are trying to get through the door measured to be 20 inches wide.
Now, to find how much wider is the door than the chair.
Width of door = 3 feet and 2 inches.
So, we convert into inches by multiplying:
1 foot = 12 inches.
3 feet and 2 inches = 3 × 12 + 2 = 36+2 = 38 inches.
Width of the chair = 20 inches.
Now, to get how wide is the door than the chair we subtract their width:
Width of door - width of chair.
Then, we convert into feet and inches by dividing:
18 inches = 18 ÷ 12 = 1 foot 6 inches.
Therefore, the door is 1 foot 6 inches wider than the chair.
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Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.
