Express the statement as an equation involving the indicated variables.The surface area S of a cube is 6 times the square of the length x of a side.
A. S = 6x
B. S = x2
C. S = 6x2
D. S = 6 + x2
Answer: C
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Simplify the expression.-4.1p + 5.7 - (8p + 0.3) + 5.7p
A. -6.4p + 5.4 B. 9.6p + 5.4 C. 9.6p + 6.0 D. -6.4p + 6.0
Find functions f and g so that f ? g = H.H(x) = ?2x + 8?
A.
| f(x) = ?x?; | g(x) = 2x + 8 |
B.
| f(x) = ?-x?; | g(x) = 2x - 8 |
C.
| f(x) = x; | g(x) = 2x + 8 |
D.
| f(x) = -?x?; | g(x) = 2x + 8 |
If the lengths of three sides of a triangle are known, then the following formula, known as Hero's (or Heron's) formula is sometimes used:
?
??wherea,b, andcare the given lengths of the sides, and 
. Use this formula to find the area of a triangle with the lengths given below (correct to the nearest square foot).
? 
, 
, and 
?
__________ ft2
Fill in the blank(s) with the appropriate word(s).
Solve the problem.An aircraft going from Atlanta to Savannah on a heading of N 119° E is travelling at a speed of 450 miles per hour. The wind is out of the north at a speed of 22 miles per hour. Find the actual speed and direction of the aircraft.
A. 445 miles per hour; 121° from north B. 629 miles per hour; 121° from north C. 461 miles per hour; 121° from north D. 440 miles per hour; 122° from north