Answer:
Step-by-step explanation:
Step 1: Find the total fraction of raisins he gave to his brothers
=
Step 2: Find the lowest common multiple(Lcm) of 6 and 4
Lcm of 6 and 4 = 12
Step 3: Add the fractions
=
=
Step 4: To find the fraction that he kept, you will subtract the total fractions he gave his brothers from 1.
Final answer
The fraction that he kept =
Answer:
volume of the triangular pyramid=1/3×base×height
=1/3×(1/2×6×5)×10
=1/3×15×10
=50 yd³
Answer:
option C
N ≈ 55°
Step-by-step explanation:
Given in the question a right angle triangle.
To calculate the angle N, we will use following formula
a² = b² + c² -2bcCos(A)
here,
a = 5.74
b = 4
c = 7
A = N°
Plug values in the formula
5.74² = 4² + 7² -2(4)(7)COS(N)
32.95 = 16 + 49 - 56COS(N)
32.95 = 65 - 56COS(N)
32.95 - 65 = - 56COS(N)
-32.05 = - 56COS(N)
minus will cancel out
32.05 = 56COS(N)
COS(N) = 32.05/56
COS(N) = 0.57
N = (0.57)
N = 55.08°
N ≈ 55°
For this you would use the cosine function because you have an angle, the hypotenuse, and the adjacent side
cos(x)=adjacent/hypotenuse
cos(18)=x/25 (cross multiply)
25*cos(18)=x
x=23.78 cm rounded
Hope this helps