Answer:
154.3
Step-by-step explanation:
First off let’s calm down… next thing we are going to do is know that a ratio is also a fraction so 5:7 also equals 5/7. Then, all you need to do is multiply 5/7 by 216 to get about 154.3
:D
We can use the Cosine Law ( π / 3 = 60° ):
c² = a² + b² - 2 a b cos C
c² = 4² + 3² - 2 · 4 ·3 · cos 60° = 16 + 9 - 24 · 1/2 = 25 - 12 = 13
Answer:
The length of the third side of a triangle is c = √ 13 ≈ 3.6
16. 9
Since each side are congruent, you set the two sides to each other
7x-12=3x
Subtract 7x from both sides
-12=-4x
Divide -4 from both sides
3=x
3+3+3=9
18. 28
2x-3=3x-10
Add 10 on both sides
2x+7=3x
Subtract 2x on both sides
7=x
7+7+7+7=28
Let g(x) = 0
(x-4)(x-6) = 0
x = 4 or 6
So the x-intercepts are (4,0), (6,0)
Answer:
3 m^2
Step-by-step explanation:
The shaded area = Area of Sector - Area of Triangle
First we find area of sector =
<em>We know the angle is 60° (vertical angles are equal) and the radius is 6, so we find the area of sector to be:</em>
Secondly, we find area of triangle (isosceles) =
where
a and b are the two sides bordering the known angle, so a=b=6, and
C is the angle which is <em>60°</em>
Now we find the area to be:
Hence, area of shaded =
Rounding to nearest whole number, area of shaded region = 3m^2