Answer:
Step-by-step explanation:
Substitute in the expression,
\sin^230^\circ-\cos^230^\circ=(\frac{1}{2})^2-(\frac{\sqrt3}{2})^2sin
2
30
∘
−cos
2
30
∘
=(
2
1
)
2
−(
2
3
)
2
\sin^230^\circ-\cos^230^\circ=\frac{1}{4}-\frac{3}{4}sin
2
30
∘
−cos
2
30
∘
=
4
1
−
4
3
\sin^230^\circ-\cos^230^\circ=-\frac{2}{4}sin
2
30
∘
−cos
2
30
∘
=−
4
2
\sin^230^\circ-\cos^230^\circ=-\frac{1}{2}sin
2
30
∘
−cos
2
30
∘
=−
2
1
Answer:
2 + 5i
Step-by-step explanation:
Answer: There will be 5 packages of small juice bottles and 3 packages of yogurt.
Step-by-step explanation:
Number of packages of small juice bottles=6
Number of packages of yogurt = 10
We need to calculate the least number of bottles of juice and individual yogurt treats ,
For this we will find the L.C.M. of 6 and 10 =30
So, number of packages of each package of juice is given by
And number of packages of each package of yogurt is given by
So, there will be 5 packages of small juice bottles and 3 packages of yogurt.
Answer: the area of the triangle is 23.4 cm²
Step-by-step explanation:
The given triangle is not a right angle triangle. Since two sides and one angle are known, we can either apply the Heron's formula or the Sine formula which is expressed as
Area of triangle = 1/2abSinC
Where a and b are the sides of the triangle and C is the given angle. Therefore,
Area = 1/2 × 8.2 × 6.4 × Sin63
Area = 1/2 × 8.2 × 6.4 × 0.8910
Area = 23.4 cm² to the nearest tenth.
