Answer:
Step-by-step explanation:
The sin(30) = 1/2
The sin(30) = 1/2 = opposite / hypotenuse
Opposite = 7
hypotenuse = opposite / sin(30)
hypotenuse = 7 / (1/2) = 7 *2 / 1 = 14
The long side can be found using the Pythagorian Theorem.
a^2 + b^2 = c^2
a = 7
b = ?
c = 14
14^2 = 7^2 + b^2
196 - 49 = b^2
147 = c^2
147 = 3*7 *7
sqrt(b^2) = sqrt(3*7*7)
b = 7 sqrt(3)
Answer: O x= -1 or x = 6
Step-by-step explanation:
<span>The area to be determined is a segment of the circle.
Since central angle is 120 degrees and 120/360 = 1/3
area of sector of circle is (1/3)*36pi = 12pi
For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6
thus base of triangle is 6sqrt3 and height is 3
Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->
segment area = 12pi - 9sqrt3</span>
Answer:
498
Step-by-step explanation:
6 × 83
Using distiributive property
We can solve the expression by using a method called decomposing the multiplier.
= 6 × (80 + 3)
= 6 × 80 + 6 × 3
= 480 + 18
= 498
Step-by-step explanation:
6x + 9 = 12
6x = 12 - 9
6x = 3
x = 3/6 = 1/2
