Answer:
226.08 square inches
Step-by-step explanation:
Area of a circle is given by
Where r is the radius and r is the area.
For this case, since one half is painted yellow and another red, then the area for each paint will be given by
Substituting 12 inches for r then
Therefore, each paint occupies approximately 226.08 square inches
The remainder is 3 when we need to divide
Step-by-step explanation:
We need to divide and find the remainder
Dividing:
The division is shown in figure below:
The quotient is:
The remainder is: 3
So, The remainder is 3 when we need to divide
Keywords: Division of Polynomials
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Answer:
The temperature in 4 hours = -2 °F
Thus, option (D) is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
where m is the rate of change or slope and b is the y-intercept
Given that the current temperature outside = 10°F.
Thus, the y-intercept = b = 10°F
Given that as the day went on, It will fall at a constant rate of 3°F per hour.
Thus, the slope or rate of change = -3°F
(The rate of change or slope is -3 because the temperature is reducing)
Thus, the rate of change = slope = m = -3
Thus, substituting m = -3 and b = 10 in the equation
Now, substituting x = 4 to determine the temperature after 4 hours.
y = -3(4) + 10
y = -12 + 12
y = -2 °F
Therefore, the temperature in 4 hours = -2 °F
Thus, option (D) is true.
Answer:
Step-by-step explanation:
Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.
Since EP⊥IJ, then segment JP is the height of the triangle EOJ.
The height of the equilateral triangle can be found using formula
where a is the side length.
So,
Therefore JP is 5√3 cm