A consumer magazine rates televisions by identifying three levels of price, four levels of repair frequency, two levels of fe
2 answers:
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Given:
In triangle
To find:
The length of .
Solution:
Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.
In triangle .
Using BPT, we get
On cross multiplication, we get
Now,
Therefore, the length of FH is 24 units.
Answer:
D. 720
Step-by-step explanation:
For this case we have 6 different cities that needs to be ordered in different ways. And the best way to solve this problem is using permutations since we can't repeat the route.
We need to remember the concept of permutation.
A permutation, known as "arrangement number" "is a rearrangement of the elements of an ordered list S into a one-to-one correspondence with S itself". Where S correspond to the sample space. And the formula is given by:
And for this case we have a total of 6 cities and we want to know how many routes with these 6 cities we can create, so then n=6 and k=6 and if we replace we got:
And then we have 720 ways to visit six different cities. So the best option is:
D. 720
<em><u>Question:</u></em>
The surface area of a sphere can be approximated as follows:
Surface area = 4πr2;
where r is the radius of the sphere;
π is a constant that is roughly equal to 3.
Calculate the surface area of a sphere with a radius of 7 meters using the simple approximation above.
<em><u>Answer:</u></em>
<h3>The surface area of a sphere is 588 square meter</h3><em><u>Solution:</u></em>
<em><u>The surface area of a sphere is given as:</u></em>
Where, "r" is the radius of sphere
π is a constant that is roughly equal to 3
From given,
Radius = 7 meter
<em><u>Substitute r = 7 in given formula</u></em>
Thus the surface area of a sphere is 588 square meter