0.168 is the answer.................
Answer:
{-29/4, -19/2, -47/4}
Step-by-step explanation:
Note that this is a decreasing arith. seq. Each term is smaller than the previous term, the result of the subtraction of 2 1/4 (equivalent to 9/4).
The fourth term is -11/4; subtracting 9/4 results in -20/4, or -5.
The fifth term is -20/4; subtracting 9/4 results in -29/4.
The 6th term is -29/4; subtracting 9/4 results in -38/4, or -19/2.
The 7th term is -38/4; subtracting 9/4 results in -47/4.
Thus, the "next three terms" following the first four terms are {-29/4, -19/2, -47/4}
I would use the Law of Sines to solve this problem.
The angle next to the 58 degree angle is 122 degrees. The side opposite this angle is 3.72 km.
The angle we need to find is at the cave. The side opposite this angle is 2.60 km.
(Sin 122/3.72) = (Sin x/2.60)
Cross multiply to solve.
3.72 Sin x = 2.60 Sin 122
Divide both sides by 3.72
Sin x = (2.60 Sin 122)/3.72
Sin^-1 x = (2.60Sin122)/3.72
x = 36 degrees
Answer:
Step-by-step explanation:
The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:
and
and
so
x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:
and
and
so
x = 46.6 feet
Answer:
D
Step-by-step explanation:
You subtract the "-6" from the y, and you get +6 (which eliminates A and B). You subtract the "-2" from the x, and you get +2 (which eliminates C)
