Answer:Area of the shaded region is 73.6 cm^2
Step-by-step explanation:
The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees
Area of a sector is expressed as
Area of sector = #/360 × πr^2
# = 280
r = 5 cm
Area of sector = 280/360 × 3.14 × 5^2
Area of sector = 61.06 cm^2
Area of the triangle is expressed as
1/2bh = 1/2 × 5 × 5 = 12.5
Area of the shaded region = 61.06 +
12.5 = 73.6
Answer:
Step 1, all the exponents are increased by 4
Step-by-step explanation:
The first incorrect step occurred in Step 1, where all the exponents were increased by 4.
This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.
For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.
We multiply the exponents instead of adding them together.
Therefore, the correct Step 1 should multiply all the variables' exponents by 4.
Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.
The answer is 11.21, dividing 6.391 by 0.57 will give you 11.2122807018.
Rounding to 11.21 because the thousandths place is less then 5 so the hundredths place stays the same.
(numeral)~(decimal)~(tenths)(hundredths)(thousandths)
