Since Mark's brother is five years older than Mark and their combined ages add up to 23 than Mark must be 9.
Since 9 + 14 = 23, and 14 - 9 = 23
Mark brother is 14 but Mark is 9
Mark is 9 years old.
Hope this helps :0
As you know that Centroid is the point of any curve ,Starting from a line segment it's centroid is it's mid point, want to say that centroid means the point where the curve is balanced such that if at that point if you put anything it will remain balanced in all directions, whether it is a one dimensional figure,two dimensional figure,or three dimensional figure.For a circle it's center is the Centroid.
Now coming to your question
Centroid of the quarter of the unit circle lying in the third quadrant.
Circle being a two dimensional figure. The equation of circle is
Applying the rule of integration i.e from (-1,0) to (0,-1). i.e from 
-----[∵ we have to find centroid of a circle lying in the third quadrant.]
Applying the formula of centroid i.e
where A is the area of circle which is 
.
Area of unit circle=π
Area of Quadrant of a circle=π/4
put, (1-x²)=t
differentiating both sides
-2 x dx = dt
x dx= - (dt/2)
Also when , x= -1, t=0 and when x=0 then t=1
x coordinate= 
Now finding the y -cordinate by using the above formula
![\bar{y}=\frac{2}{\pi }[x-\frac{x^3}{3}]_{0}^{-1}](https://tex.z-dn.net/?f=%5Cbar%7By%7D%3D%5Cfrac%7B2%7D%7B%5Cpi%20%7D%5Bx-%5Cfrac%7Bx%5E3%7D%7B3%7D%5D_%7B0%7D%5E%7B-1%7D)
Answer:
6.8 pounds
Step-by-step explanation:
Subtract the smaller watermelon weight from the large watermelon weight to find the difference between the two weights
larger-smaller
10.4-3.6
6.8
So, the smaller watermelon weighs 6.8 pounds less than the larger watermelon.
Hope this helps! :)
HGI is congruent to JIG due to the Side-Side-Side congruence theorem.
This theorem states that if the three sides of one triangle are congruent to the three sides of another triangle, the triangles must be congruent.
In order to create these triangles, we must draw a diagonal in this triangle. This will be a shared side between both triangles.
A rectangle's opposite sides are congruent; this means the top and left sides, which are part of one triangle, will be congruent to the bottom and right sides, which are part of the other triangle.
This gives us all 3 sides of both triangles congruent, and therefore the congruence theorem applies.
Answer:
hope that it helps
Step-by-step explanation:
The average absolute deviation (or mean absolute deviation (MAD)) about any certain point (or 'avg. absolute deviation' only) of a data set is the average of the absolute deviations or the positive difference of the given data and that certain value (generally central values). It is a summary statistic of statistical dispersion or variability.
