Response:
C. 50.24 inches
Detailed explanation:
The area of a circle can be expressed with 
. To determine the circumference, knowing the radius is essential; thereafter, we can substitute that value into the circumference formula 
. Hence, to ascertain the radius, we observe that:
As a result, the circumference is:
, which approximates the choice C) 50.24 inches.
Hope this was beneficial!:)
Because SI units are structured around powers of 10, you can shift the decimal point to convert; imperial units lack that base-10 organization, so the decimal-shifting method doesn't apply.
To determine the future value using simple interest, the formula is: future value = present value (1+n*rate), where n represents the number of years and rate indicates the annual interest as a decimal. By substituting the values into the equation, we find that 10000 = 3900(1 + 0.0783*t). Therefore, we calculate 1 + 0.0783t = 10000/3900, leading to t = (10000/3900 - 1)/0.0783, which equals approximately 19.98 years. For compound interest, the future value is determined by present value (1 + rate/n)^(nt), where n=1, rate=0.0783, future value=10000, present value=3900, ultimately resulting in t = log(10000/3900)/log(1.0783) which yields roughly 12.49 years.
Answer: The initial two triangles can be confirmed as congruent via the SAS criterion.
Step-by-step explanation:
The SAS postulate states that if two sides and the angle they enclose in one triangle are equal to two sides and the angle of another triangle, then those triangles are congruent.
The first pair meets this criterion as the included angle matches the two sides and the angle from the second triangle, which leads to their congruence by SAS.
In the next illustration, the two triangles are congruent according to the ASA postulate, not SAS.
In the third diagram, there is no congruence between the triangles through any postulate or theorem [due to the absence of SSA].
The last diagram displays congruence under the SSS postulate, not SAS.
