Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:

is the answer it's was helpful to you
Multiples of 8 through 60 are 8, 16, 24, 32, 40, 48 and 56
No. of favorable outcomes= 7
Thus, P(E)=7/60
Answer:
We need to make a conversion for the new recipe. If the regular recipe calls for 2 cups of Sugar, we can make a conversion for the new recipe.
Step-by-step explanation:
Conversion- 2:7= 1:4 (sugar)
2:7 (sugar)
3: x (flour)
1: y (milk)
X= 8 (flour)
Y= 6 (milk)
NEW RECIPE:
3.5 cups of milk
10.5 cups of flour
7 cups Sugar
We found this by seeing the new recipe adds 5 more cups with the original amount :)