Answer:
114 ft
Step-by-step explanation:
Imagine or construct a right triangle with the 46 ft leg lying on the ground. This is the "adjacent side" of the triangle; it lies immediately adjacent to the 68 degree angle. The side opposite this angle is h, the height of the tree.
The tangent function includes angle, opp side and adj side:
tan 68 degrees = opp / adj = h / (46 ft), and so:
(46 ft)*tan (68 degrees) = opp = h
Then the height of the tree is h = (46 ft)(2.47) = 114 ft
Answer:
b) 200 square inches
Step-by-step explanation:
Area of a pentagon: A = 1/2 * 5(side)(apothem).
- side: b = 10in
- apothem: a = 8 in
A = 1/2 * 5(side)(apothem).
A = 1/2 * 5(10)(8).
A = 1/2 * 5(80).
A = 1/2 * 400
A = 200 square inches
Answer:
x = -25.375
Step-by-step explanation:
4(-8x+5) = -32 x 26
-32x + 20 = 832
-32 = 812
x = -25.375
Answer: C
Step-by-step explanation:
The equation is in y=mx+b format. The y is the final amount that you will have to pay. The m in this case is the amount of money that you are paying for each individual month (which is $34.99). The x in this case is the number of months you are paying for (which is 1). And b is the starting fee that you have to pay in order to get a membership in the first place (but will not have to pay after the first month). Thus, seeing as there is 1 month's worth of payment and a starting fee tagged on, y would equal the average total cost for the first month of a gym membership.
