Answer:
The area of the lighter shaded region = 38.1 cm²
Step-by-step explanation:
It is given a circle with a sector and a triangle
Radius of circle = 6 cm
<u>To find the area of sector</u>
Area of circle = πr²
= 3.14 * 6²
= 3.14 * 36
= 113.04 cm²
Central angle of sector = 150°
Area of sector = area of circle (150/360)
= 113.04 *(150/360)
= 47.1 cm²
<u>To find the area of triangle</u>
Area of this triangle = (1/2)r²Sinθ
= (1/2) * 6² * Sin(150)
= 9 cm²
<u>To find the area of the lighter shaded region</u>
Area of lighter shaded region = Area of sector - area of triangle
= 47.1 - 9
= 38.1 cm²
Answer:
<em>3m • 462.30 = 1,386.90</em>
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Step-by-step explanation:
Let's use the example of 3 months. So, working one month Samantha earns $462.30. Let's say she works part-time for 3 months.
Multiply. 462.30 • 3 = $1,386.9
That means working 3 months, Samantha earns $1,386.90.
Then, just write it in standard form.
<em>3m • 462.30 = 1,386.90</em>
Answer:
Subtract the two Y values of X = 2 and X = 4 to find the total difference, then divide by the difference between X=2 and X =4
When X = 2 Y = 9
When X = 4 Y = 64
Difference between the two Y values = 64 -9 = 55
Difference between the two X values = 4-2 = 2
The rate of change = difference in Y divided by difference in X:
55/2 = 27.5
Step-by-step explanation:
Answer:
0.2821 gal
Step-by-step explanation:
Since this is a direct and proportional relationship, we know that the ratio for 2.539 gal of water to 9 hours is the same as the ratio from the water in the pool after 1 hour to 1 hour. Therefore, we can simplify 2.539:9 into 0.2821111... I’m not sure what value you must round to, so I’ll assume it is to the nearest thousandth. Hence, our answer is 0.2821 gal.
I hope this helps! :)