Ratio of areas of similar triangles is 9 : 25.
Solution:
Given data:
Ratio of sides of two similar triangles = 3 : 5
To find the ratio of areas of the triangles:
We know that,
<em>In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.</em>
Ratio of areas of similar triangles is 9 : 25.
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Comparing the total cost, work out the value of x:</u>
- 2x + x + 0.2 = 3.80
- 3x = 3.60
- x = 1.20
3t + 4s = $83
4t + 1s = $50 (x 4)
16t + 4s = $200
3t + 4s = $83 (minus them£
13t = $117 (divide by 13)
t = $9
sub t into first equation.
3 x 9 = 27
27 + 4s = $83
4s = $56
s = $14
t = $9
s = $14
The average kitchen sink has a width of approximately 23.5 inches, a length of approximately 31.5 inches, and a depth of approximately 21 inches.
Multiplying these values together, we can see that the volume of the average kitchen sink is about 15545.25 cubic inches.
The conversion of cubic inches to liquid gallons is 1 cubic inch = approximately 0.004329 gallons.
Multiplying these numbers, we can see that 15545.25 cubic inches is the same as approximately 67.29538725 gallons. Now, we just have to multiply that number by 4, since there are 4 quarts in a gallon.
67.29538725 * 4 = 269.181549
It takes approximately 269.181549 quarts to fill the average kitchen sink.
Hope that helped =)
<span>Since the problem specifically stated that the people
gather around the table, therefore we assume a circular table hence a circular
formation of gathering. Since the
arrangement is important therefore we use the permutation. </span>
nPr = n! / (n – r)!
<span>However before we proceed with our calculation we MUST
first affix a reference point since the formation is circle. Imagine that the
reference point is the 1st point made when you draw a circle, so it
is the both the 0 degrees and the 360 degrees.</span>
Let us say that one of the actors is the reference point.
So there are now only 8 actors which places can be interchanged. Since all
actors have to sit together, hence the arrangements are:
8P8 = 8! / (8 – 8)! = 40,320
Now since there are 13 total people, therefore the
arrangements of the other 4 people are:
4P4 = 4! / (4 – 4)! = 24
We multiply all to get the total number of arrangements:
<span>Total arrangements = 40320 * 24 * 1 (1 is the reference point)</span>
<span>Total arrangements = 967,680</span>
