Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B = 
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,
sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°
12y-3=3
4y+10=2
28y-8=4
30y+18=6
Answer:
x = 3
Step-by-step explanation:
32 * 2^x = 2^8
32 * 2^x = 256
divide 32 from both sides
2^x = 8
then solve for x
2^3 = 8
Answer:
y=4x-6
Step-by-step explanation:
to find the slope it's ((y1-y2)/(x1-x2) which in this case is (10-(-6))/(4-0) which is 16/4 aka 4
the y intercept is already given at point (0,-6)
so to write the equation is y intercept form: its y =4x-6
Answer:
25/32 chapter per hour
Step-by-step explanation:
(5/8)/(4/5)=x/1
cross product
4/5*x=(5/8)(1)
4/5x=5/8
x=(5/8)/(4/5)
x=(5/8)(5/4)
x=25/32
