Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
- The point M is the centroid of the triangle.
We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
In order to write in scientific notation you have to write an expression with a whole number times 10 to a certain exponent. In this case the nearest whole number would be 7.65 and you have to move the decimal place twice to the left to get the desired number. Thus, the exponent would be a negative number. The final answer is : 7.65 x 10^-2.
Answer:
angle = 50.8° (to the nearest tenth of a degree)
Step-by-step explanation:
In a right triangle:
- The angle between the shorter leg and the hypotenuse is the larger acute angle of the triangle.
- The angle between the longer leg and the hypotenuse is the smaller acute angle of the triangle.
We have been given the measures of the <u>shorter leg</u> and the <u>hypotenuse</u>, so the angle between them is the <u>larger acute angle</u> (which we need to find).
shorter leg = 3√6 cm
hypotenuse = 3√15 cm
So to find the angle, we need to use the trig ratio: 
If
is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.
Substituting the given values:

⇒ 
Therefore, the angle = 50.8° (to the nearest tenth of a degree)
Answer:
14n - 29
Step-by-step explanation:
First you'd distribute in the parentheses by -5. -5 × -2.4n and -5 × 4 which you would get 12 and -20.
Then, bring everything down and combine like terms. 2n + 12n = 14n || -9 - 20 or -9 - (-20) = -29. 14n - 29 is the lowest you can simplify because you can subtract a variable and a constant together.
Answer:
y = 4
Step-by-step explanation:
Substitute the input x = - 4 into the function and evaluate for y
y =
× - 4 + 6
= - 2 + 6
= 4