The circle for New York:
r = 5 cm, Area : A = r² π = 25 π cm²
New York: 19,465,000
California: 37,691,000
Texas: 25,675,000.
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California: 37,691,000 : 19,465,000 = 1.93635 N Y
1.93635 x 25 π = 48.4 π ⇒ r = 6.957 ≈ 7.0 cm
Texas : 25,675,000 : 19,465,000 = 1.319 N Y
1.319 x 25 π = 32.975 π ⇒ r = 5.742 ≈ 5.7 cm
Answer: Rationalization factor of √2 + √3 is √2 - √3. We need to find Rationalization factor of given number. Rationalization factor of a number is a number whose product with given number gives a rational number.
Answer:
B
Step-by-step explanation:
Evaluate the numerator/ denominator using order of operations
numerator = 16 + 2(4 × 2)
using the order parenthesis, multiplication followed by addition
= 16 + 2(8) ← evaluating parenthesis
= 16 + 2 × 8
= 16 + 16 ← performing multiplication
= 32 ← addition
denominator = 8 + 2³
using the order exponents then addition
= 8 + 8 ← evaluating exponent
= 16 ← addition
Hence
=
= 2 → B
Answer:
Distance between B and C = 
Step-by-step explanation:
Let the time taken to reach from station A to B be x hr
Let the time taken to reach from station B to C be y hr
Given total time from station A to C be 6 hr
∴ x + y = 6
⇒ y = 6 - x → (1)
Also total distance given is 285 miles
As 
∴ distance travelled between station A and B
=
distance travelled between station B and station C
=
So, 40x + 55y = 285
⇒ 40x + 55(6 -x) = 285 (From 1)
=> 40x + 330 - 55x = 285
=> -15x = 285 - 330
=> -15x = -45 ⇒ x=3
gives y = 6-3 = 3 hours
Distance between B and C = 