Answer:
20 ice cubes. Hope this helps!! ;)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Time taken to eat the pizza in seconds =28×60=1680 seconds
If it takes 20seconds to lift, bite and chew,
Then the total bites taken to finish the pizza =1680/20 =84 bites
If for each bite 9cm² disappeared, then area that disappeared for 84bites =84×9cm² = 756cm²
Total area of pizza =756cm²
If area =(πd²)/4,
Then d² =(4×A)/π
d²=4×756/3.14=963.06
d=√963.06 = 31.03cm
1 centimeter=0.394inches
31.03cm= 0.394×31.03=12.23 inches ≈ 12inches(to the nearest inch)
The diameter of the pizza is 12inches
Answer:

Step-by-step explanation:
Use the slope-intercept formula:
where m is slope and b the y-intercept.

Use the slope formula for when you have two points:

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

Simplify parentheses (negative+negative=positive)

Simplify

2 is the slope:

Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)


The y-intercept is -1. Insert into the equation. Change the + symbol to -:

Done.
<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude and n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
</span>
∴ y = 2 sin (θ/2)
The correct answer is option D. y = 2 sin (θ/2)
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<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
</span>
<span>comparing with y = a cos nθ
</span>
where : a is the amplitude and n = 2π/period
<span>amplitude = 5 , period = 2π/n = 2π/2 = π
</span>
The correct answer is option B. Period: pi radians: Amplitude:5
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3. tan (2π/3) = tan 120° = -√3
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3
The correct answer is C. -sqrt3
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4. <span>Tan 5π/6 = tan 150° = -(√3)/3
</span>
150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3
The correct answer is <span>B.-sqrt3/3</span>
When converting to a fraction u multiply 66*3 getting 198 and u add the numerator getting 200 you u keep the demomenator which is 3 so 66and 2/3 is 200/3.