Answer:
a = 5
Step-by-step explanation:
<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]
cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
189000/x=100/4.5
<span>(189000/x)*x=(100/4.5)*x</span>
<span>189000/22.2222=x </span>
<span>8505=x </span>
Answer:
y = -5
Step-by-step explanation:
To find the slope , we use
m = (y2-y1)/(x2-x1)
3/2 = (-2-y)/(2-0)
3/2 = (-2-y)/2
Since the denominators are the same, the numerators have to be the same
3 = -2-y
Add 2 to each side
3+2 = -2-y+2
5 = -y
Divide each side by -1
5/-1 = -y/-1
-5 = y
4.89*4=19.56
1.69*4=6.76
19.56+6.76=26.32
30.00-26.32=3.68
They will receive $3.68 from$30
Hope this helps!
