g = 1/3 k This is given in the Q
then k gives 10 to g and they are equal
g+10 = k - 10 sub in the red equation
1/3 k + 10 = k -10
2/3 k = 20
k = 30 g = 10 originally total 40 calendars
Yep.....THANX ,Chris for noting my error:
Per Chris:
we also need 5pi/4 and 7pi/4 as answers for "theta "
~EP
Remeber sin = opposite side / hypotenuse in rt triangles opposite side is tower attach point 145 Hypotenuse is what you seek
sin (20) = 145 / h h = 145/ (sin(20) feet = __________ ft You should finish !
Take the sqrt of both sides to get:
sin ( 2 theta) = +-1
2 theta = pi/2 3 pi /2
theta = pi/4 3pi/4
5/6 ths of (1 - 3/8 - 1/4) is to 20 as 1 is to x
5/6 ( 3/8) / 20 = 1/x
15 / 960 = 1/x
x = 64 in the box
\(\frac{1}{2}\) Like that ? Click on Latex then Math and enter the numbers you want in the fraction template.....not sure it is worth the trouble most of the time ...
m * 26 = 2995 + 11m
15m = 2995
m = ~~ 200 minutes
Supplementary means the add to 180 degrees
8x+6 + 7x+ 24 = 180
x = 10 B = 7x + 24 = 7(10) + 24 = 94 degrees
In 3 minutes the train travels the lenth of the tunnel + 400 m ( the length of the train)
60 km/hr = 1 km/ min
1 km/min * 3 min = 3 km so the tunnel is 3 km - 400 m = 2.6 km long
You didn't list the choices .....
