Answer: large pizza
Work:
1) You can determine the arc of a slice that is 1/12 of the whole pizza using the diameter.
2) First, calculate the total circumference of each pizza.
Formula for the circumference: 2π×radius
radius = diameter / 2
medium pizza: 2π (12 / 2) = 12π ≈ 37.70 in
large pizza: 2π (16/2) = 16π ≈ 50.27 in
3) arc of a 1/12 sector
arc of a 1/12 sector = circumferece × 1/12
medium pizza: 37.70 in / 12 = 3.14 in
large pizza: 50.27 in / 12 = 4.19 ↔ this is pretty close to 4.25
So, at the end we have found that the sector of 4.25 in left belongs to a large pizza.
The answer is 21, 21 is the value of x
The answer I believe is -36
Answer:
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Step-by-step explanation:
To verify the identity:
sinx/1-cosx = cscx + cotx
we will follow the steps below;
We will take just the left-hand side and work it out to see if it is equal to the right-hand side
sinx/1-cosx
Multiply the numerator and denominator by 1 + cosx
That is;
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open the parenthesis on the right-hand side of the equation at the numerator and the denominator
sinx(1+cosx) = sinx + sinx cosx
(1-cosx)(1+cosx) = 1 - cos²x
Hence
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But 1- cos²x = sin²x
Hence we will replace 1- cos²x by sin²x
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Note that;
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Answer:
Step-by-step explanation:
m∠1=m∠3
m∠2=m∠4
3*(m∠1+m∠3)=m∠2+m∠4
3*(m∠1+m∠1)=m∠2+m∠2
3×2 m∠1=2 m∠2
m∠2=3 m∠1
now m∠1+m∠2=180°
m∠1+3 m ∠1=180
4 m∠1=180
m∠1=180/4=45°
m∠3=45°
m∠2=180-m∠1=180-45=135°
m∠4=135°