Regular pentagon sides 3.3 cm long
1 answer:
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Equation to find number's value:
Number's value: n = 35
Explanation:
Let n be the unknown number for this problem.
One fifth of a number is the same as .
Three times the number is the same as 3n.
Twice the number plus 42 is the same as 2n + 42.
So, using the information we've gathered so far, we can create the equation that will provide us with n's value.
Equation:
We can use this equation to find n's value.
You can subtract 2n from both sides to get the equation , which is the same thing as the equation we were using.
Now add n and together to get
.
After you do this, your equation should look like .
Now divide both sides by to get n's value.
n = 35
Answer:
294.5 m²
Step-by-step explanation:
shaded region = area of major sector + area of triangle
central angle of major sector = 360° - 130° = 230°
area of sector = area of circle × fraction of circle
A = π × 11.1² ×
= ≈ 247.3 m²
area of triangle = 0.5 × 11.1 × 11.1 × sin130° ≈ 47.2 m²
shaded area = 247.3 + 47.2 ≈ 294.5 m²