Answer:
Theta = 120 degrees, 420 degrees, 480 degrees, 780 degrees, and 840 degrees
60 + 360 = 420 degrees,
60 + 720 = 780 degrees,
120 + 360 = 480 degrees,
120 + 720 = 840 degrees
Step-by-step explanation:
90 to 870 degrees for theta.
sin (theta) = root(3) /2
We see this comes from a 30-60-90 triangle.
theta is 60 degrees
but we want theta from 90 to 870 degrees.
120 degrees works too.
so we try to find all the co-terminal angles to 60 and 120 degrees that satisfy the conditions.
60 + 360 = 420 degrees,
60 + 720 = 780 degrees,
120 + 360 = 480 degrees,
120 + 720 = 840 degrees
In mathematical form. you can write it as:
73 = 2 ( l + 11)
We can solve it for length,
73 = 2l + 22
2l = 73 - 22
l = 51/2
l = 25.5
Hope this helps!
Answer:
- 71 in House of Representatives
- 17 in Senate
Step-by-step explanation:
Let h and s represent the numbers in the House and Senate, respectively. Then we have ...
h + s = 88
h - s = 54
Subtracting the second equation from the first gives ...
(h +s) -(h -s) = (88) -(54)
2s = 34 . . . . . simplify
s = 17 . . . . . . . divide by 2
h = 88 -17 = 71 . . . . find the other value using the sum equation
There were 71 females in the House of Representatives, and 17 females in the Senate.
8 x 3 = 24
24 + 4 = 28
Now if 10 purses are made in 8 hours, and we can see we timesed 8, 3 times, thats 10 x 3 = 30
Now we take in to count the last 4 hours
30 + 4 = 34
And 4 is half of 8 so if we cut 10 in half we get 5.
So, the answer is 35
At least that's what I got :)
-530
I hope this helps! (^_^)
