Sketch a right
triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x”
and assigning angle “a” as the angle between A and H. Using Pythagorean theorem,
you will get “square root of x-squared minus 9” as the opposite side (O). Using
SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) =
x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side
over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the
algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.
Answer:
C. 320 (correct)
Step-by-step explanation:
If Samantha can type 40 words per minute, to find the number of words Samantha can type in 8 minutes, multiply 40 by 8.
40×8=320
Therefore, Samantha can type 320 words in 8 minutes.
I hope this helps!
Answer:
9.009
Step-by-step explanation:
As a mixed number, it is 9 9/1000.
The "thousandths" place in a decimal number is the third digit to the right of the decimal point, so a 9 in that place signifies 9 thousandths, or 9/1000. Adding 9 units gives ...
9 9/1000 = 9 + 0.009 = 9.009
Let A = {a, b, c, d, e} and B = {a, c, f, g, i}. Universal Set: ∪= {a,b,c,d,e,f,g,h,i}
mixer [17]
Answer:
1. { a, b, c, d, e, h }
2. { f, g, i }
Step-by-step explanation:
Given sets,
A = {a, b, c, d, e},
B = {a, c, f, g, i}
Universal set , ∪ = {a, b, c, d, e, f, g, h, i},
1. Since,
= elements of universal set which are not in set B
= U - B
= { b, d, e, h },
Thus,
= All elements of A and 
= { a, b, c, d, e, h }
2. B - A = elements of set B which are not in set A
= { f, g, i }
The answer is:
[C]: 61.38 cm .
_______________________________________________Note: A =

²
300 = (3.14) * r² ;
______________________
Divide each side by "3.14" ;
r² = 300/3.14 ;
r² = 95.5414012738853503 ;
√r² = √(95.5414012738853503) ;
r = 9.7745281867661188048
Circumference, "C" =

* d ; (d = diameter = 2*r);
C = 2*

*r ;
C = 2*(3.14)*(9.7745281867661188048)
C = 61.384037012891226094144 ; which rounds to answer choice: [C]: 61.38 cm .________________________________________________________