This angle lies in the 3rd quadrant ... and if the tangent is 4 in the 3rd quadrant, y = 4 and x =1
So, r = √(4^2 + 1^2) = √17
So sin(theta) = y/r = 4 / √17 = (4√17) / 17
And cos(theta) = x/r = 1 / √17 = √17 / 17
√150 =
√(25 * 6) =
√25 *√6 =
5√6
This would be the same angles where the sinx = 1/2
And these occur when x= pi/6 and x = 5pi/6
Its 21 BARELY
I don't honestly know.
I think it's because it's boring. was that the right answer?
21. yes its true
If 6 houses have 4 dogs......wouldn't 12 houses have twice as many ???
15% of x is 45 what is 20% of x
So
.15x = 45 divide by .15 on both sides
x = 45/.15 = 300
And 20% of 300 = .20 x 300 = 60
2(x + 1) = 2x + 2
tan(arcsec1)
arcsec(1) = 0
tan(0) = 0
The mark-up on the cost is given by
[ Sales Price - Cost ] / Cost =
[ 105 - 60 ] / 60 =
45 / 60 =
.75 = 75% markup on the cost
So, the sales price is 175% of the cost
(x^5/x^6)^4
(x^-1)^4 =
x^-4
This is an equation of a line
Here's the graph......
GRAPH
cos Θ = sin (90 - Θ)
cos(52 ) = sin(90 - 52) = sin(38)
This is given by
100 + [100(1 - .5^3) / .5 ] =
100 + 175 =
275 ft.
He eats 1/7 of the apple every 6 seconds ..so, he eats 10 times this much in 1 minute
(10)(1/7) = 10/7 apples in 1 minute
This is a linear equation, so it will have, at most, one solution
-9(-11x +6) = -43(-23 - 4x) simplify on one side
99x - 54 = 989 + 172x subtract 172x from both sides and add 54 to both sides
-73x = 1043 divide both sides by -73
x = -1043 / 73
We have
2009 = 328/(1 -r) multiply bth sides by (1 -r0
2009 (1 - r) = 328
2009 - 2009r = 328 rearrange
2009 - 328 = 2009r
1681 = 2009r divide both sides by 2009
1681 / 2009 = r = 41 / 49
2^30 x 4 = {we're using the rule a^m * a^n = a^(m + n) } .... so .....
2^30 x 2^2 =
2^(30 + 2) =
2^(32)
And there you are.....!!!
Income - Outgo =
(15 x 47) - 220 = $485
is this a trick question? It is 12
The stamp is now worth $2.50
So in 12 years, it will double four times....so we have
2.50(2)^4 = $40
It's just the area of the base times the height......
