Option C: x = 5.5 is the value of x
Explanation:
Given that CD, AE, an BF are the medians of the triangle ABC
Also, given that 
and 
We need to determine the value of x.
Since, we know that the centroid divides the median in the ratio 2 : 1
Hence, we have,
Substituting the values, we get,
Simplifying, we get,
Subtracting both sides of the equation by 2x, we have,
Adding both sides of the equation by 5, we have,
Dividing both sides of the equation by 2, we get,
Therefore, the value of x is 5.5
Hence, Option C is the correct answer.
Answer:
148
Step-by-step explanation:
12 x 12 + (6-2)
144 + 4 = 148
Hope that helps!
You will need to use the Pythagorean Theorem and plug in the varibles. The rope is the hypotenuse of the right triangle formed, and the 40ft water is the vertical leg, which leaves the ocean floor to be the horizontal leg.[a^{2}+b^{2}=c^{2}\] \[a^{2}+40^{2}=140^{2}\] Then solve for a. \[a^{2}=18000\] \[a=134.164\]
Answer:
256 cm^2
Step-by-step explanation:
The area of the rectangle is the product of its length and width.
A = (16 cm)(10 cm) = 160 cm^2
The area of each triangle is half the product of its base and height.
A = (1/2)(16 cm)(6 cm) = 48 cm^2
__
Then the area of the rectangle and 2 triangles is ...
160 cm^2 + 2(48 cm^2) = 256 cm^2
The area of the composite figure is 256 cm^2.
Ratio of 30-60-90 triangles in terms of side lengths is 1-
-2
So, the side across the 30-degree angle is 6.25.
Thus, the side across the 90-degree angle (hypotenuse) is 12.5.
