Answer: 70 - 40 = 30
Step-by-step explanation:
There are 8 girls in the class
We know that
the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units
Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²
the area of triangle is 34 units²
Answer:D
Step-by-step explanation:
742/40=18.55
Answer:
x = 19
Step-by-step explanation:
The shape of the flower base has six sides of equal lengths. This means that the flower base is a regular hexagon. A regular hexagon is a closed polygon with six equal sides and six equal angles.
Each side of the base measures x - 6, and the perimeter of the base is 78 units.
Length of each side = x - 6
The total length of the base = perimeter of the base.
The total length of the base is gotten by summing all the sides of the base. Since the base has 6 sides, therefore the total length of the base = 6(x - 6). Hence:
Perimeter of base = 6(x - 6)
78 = 6x - 36
6x = 78 + 36
6x = 114
x = 114 / 6
x = 19
Length of each side of base = x - 6 = 19 - 6 = 13 units
