Answer:
n = √3
m = √3
Step-by-step explanation:
The triangle is an isosceles right triangle with 2 equal base angles of 45° each.
Thus:
Reference angle = 45°
Hypotenuse = √6
Opposite = m
Adjacent = n
✔️To find m, apply the trigonometric function SOH, we have:
Sin 45 = opp/hyp
Sin 45 = m/√6
√6 × 1/√2 = m (sin 45 = 1/√2)
√6/√2 = m
√(6/2) = m
√3 = m
m = √3
✔️To find n, apply the trigonometric function, CAH:
Cos 45 = adj/hyp
Cos 45 = n/√6
√6 × √2/2 = n (cos 45 = √2/2)
√12/2 = n
√(4*3)/2 = n
(2√3)/2 = n
√3 = n
n = √3
Answer:
-3/4
Step-by-step explanation:
Answer:
popcorn=4$
soft drink=4.5$
Step-by-step explanation:
- if we used omitting method:
1-we multiply (p+s=8.5) by (-2) so we could get rid of (s) and be leftover with (p)
so: (-2p-2s= -17)
2- we subtract this equation from (p+2s=13) and the result will be (-p= -4)
3- divide them by (-1) and the result is (p=4)
4-(p+s=8.5) ,substitute (p) with (4) and make it go to the other side with negative sign and the result of (s) is (8.5-4=4.5)
- if we used substituting method:
1-(p+s=8.50), we will make (s) go to the other side with negative sign so the result is (p=8.50-s)
2-(p+2s=13.00), substitute (p) with (8.50-s):
(8.50-s+2s=13)
3- make (8.50) go to the other side with negative sign:
(s=13-8.50=4.5) and then you could get (p)
Answer:
12.5 pounds
Step-by-step explanation:
16 ounces = 1 pound
200 ounces = 1 × 200/16 = 12.5 pounds
12 chips if you are trying to find 60% of 20
