Denote by M the point of intersection of the medians.
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that
Also,
Since the medians are perpendicular, we deduce that:
Then, since
32.2 is the answer
hope it helps
To get which design would have maximum area we need to evaluate the area for Tyler's design. Given that the design is square, let the length= xft, width=(120-x)
thus:
area will be:
P(x)=x(120-x)
P(x)=120x-x²
For maximum area P'(x)=0
P'(x)=120-2x=0
thus
x=60 ft
thus for maximum area x=60 ft
thus the area will be:
Area=60×60=3600 ft²
Thus we conclude that Tyler's design is the largest. Thus:
the answer is:
<span>Tyler’s design would give the larger garden because the area would be 3,600 ft2. </span>
For number 9 you have to convert from fraction to precent, the way i do this is by multiplying my denominator by a variable to get 100.
in this instance my denominator is 5 so 5x=100 in this case we are multiplying by 20. so 1(20)=20. it is important to recognize that 1/5 is equal to 20/100. now that we have an equivilent fraction we can use the numerator to be our precent. so the answer is A.20%
for number 10 we use the same idea. we know that 20 percent of people are for the visiting team so the rest of the pie chart would mean 80 percent of people were for the home team. We take the total number of people which is 64,000 and multiply our 80 percent, so we move the decimal
64,000(.80)=51200
so the answer for 10 is D.51200
<h2>
Answer:</h2>
Option: D is the correct answer.
D: 18, because the number of catalogs is 72 over 5 divided by 4 over 5.
<h2>
Step-by-step explanation:</h2>
Let Freddy could arrange n catalogs on the shelf.
The dimension of the shelf is:
72 over 5 inches wide.
The dimension of the catalog is:
4 over 5 of an inch thick.
n × Dimension of one catalog=Dimension of shelf.
i.e.
n×(4 over 5 inches)=72 over 5 inches
i.e.
n=72 over 5 inches/ 4 over 5 inches
i.e.
n=72/4
i.e.
n=18
Hence, Freddy could arrange 18 books in the shelf.
