Answer:
c=7
Step-by-step explanation:
The problem says that 8 less than 4 times c is less than twenty, so we can first show 8 less than 20.
4c -( I did this because it said 4 times the number c)
Then, we show 8 less than that.
4c-8
It says it is twenty, and that means it equals twenty.
4c-8=20
Now we solve!
4c-8=20
+8 +8
*we add 8 to both sides*
4c=28
*we divide both sides by 4 since we want to isolate c*
c=28/4
c=7
I hope this helped!
Answer:
Step-by-step explanation: first you have to add up the point that each scored altogether and Caitlin scored 300 and Justin scored 250
Invisible braces would cost 5300. I think that’s it. Hope that helped
Answer:
1.23625 rounded would be 1.24
Answer:
i = 75.7°
h = 48.2°
Step-by-step explanation:
==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b
Where,
a = 7.2cm
sin(A) = i
b = 6.5cm
sin(B) = sin(61) = 0.8746
Thus:
sin(A)/7.2 = 0.8746/6.5
Multiply both sides by 7.2
sin(A) = (0.8746*7.2)/6.5
sin(A) = 0.969 (3 s.f)
A = i° = sin^-1(0.969) = 75.7 (3 s.f)
==>To find h, use the Cosine rule for angles:
Cos(C) = (a²+b²-c²)/2ab
cos(C) = h°, a = 4, b = 4.5, c = 3.5
a² = 16
b² = 20.25
c² = 12.25
cos(C) = (16+20.25-12.25)/(2*4*4.5)
cos(C) = 24/36
cos(C) = 0.667 (3 s.f)
C = h° = cos^-1(0.667) = 48.2° (3 s.f)
