The answer is 5.13 in²
Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
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Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in
Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in
Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²
Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²
Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 = 5.13 in²
Answer:
Expression B
Step-by-step explanation:
<em>Let us find the information in the question</em>
- Alejandro has gon to school
of the last 35 days - We need to find the expression that represents the number of days Alejandro has gone to school.
<em>We must write the given information in an expression then look for it in the choices.</em>
∵ He has gone of 35 days
→ "of" means times (×)
∴ The days that he has gon = 35 ×
<em>The expression that can be used to determine the number of days he has gone to school is</em> 35 ×
The choices are:
A) 
B) 35 ×
C) ÷ 35
D) 
÷ 35
The answer is B
Answer:
No, he got extra (no need to be a Karen there)
Step-by-step explanation:
680 times 200=136000grams=136kilograms
136>129.2
9514 1404 393
Answer:
1. 4463
2. no
Step-by-step explanation:
1. Put the value of x into the equation and do the arithmetic.
f(4) = 5000(0.972^4) ≈ 5000·0.8926168 ≈ 4463.08
There will be about 4463 lemmings in 4 years.
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2. An exponential function has the variable in the exponent. When the variable is the base of a term that has an integer constant exponent, we call it a polynomial function.
The function is NOT an exponential function.
