Answer: 11.4 feet of the ground
Step-by-step explanation:
You would use sin to get the answer. So it'd be sin(72) = x/12
Once you get the sin you would multiply it by the 12 to get the x by itself and that's your answer.
It would be sin because the question is asking for that side, and it's across the 72, making it the opposite side, the side that is across from the 90 degrees is always the hypotenuse and you have a number for that side and sin uses the opposite and hypotenuse
Answer:
84
Step-by-step explanation:
6 times 7 is 42
42 times 2 is 84
<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
210 : 65
----------------------
42 : 13 is the ratio of 210mm long and 65mm wide
----------
<span>divide both numbers by 5</span>
34. x - 3 = 8x + 4
-3 - 4 = 8x - x
-7 = 7x
-7/7 = x
-1 = x
y = x - 3
y = -1 - 3
y = -4
solution is (-1,-4)
===================
35. -6 = -x - 2y
x = -2y + 6
2 + 5x = -2y
2 + 5(-2y + 6) = -2y
2 - 10y + 30 = -2y
32 = -2y + 10y
32 = 8y
32/8 = y
4 = y
2 + 5x = -2y
2 + 5x = -2(4)
2 + 5x = -8
5x = -8 - 2
5x = -10
x = -10/5
x = -2
solution is (-2,4)
==================
36. 4x + 6y = 2000
x + y = 410
==================
37. 4x + 6y = 2000
x + y = 410......multiply by -6
----------------------
4x + 6y = 2000
-6x - 6y = - 2460 (result of multiplying by -6)
--------------------add
-2x = - 460
x = -460/-2
x = 230 <=== tickets in advance