Answer:
49 pi
Step-by-step explanation:
I'll assume you want to know how big the carpet is. You need to find the area of the room, which is a circle. The area of a circle is given as pi*r^2, where r is the radius. The diameter is twice the radius, so as the problem gives us a diameter of 14, the radius would be 7. Plug in 7 for r, and we get 49pi.
Answer: it took him 0.075 seconds lesser
Step-by-step explanation:
In his first heat, his time was 2.45 seconds greater than his friend's record time. In his second heat, his time was 2 3/8 seconds greater than his friend's record time. Converting 2 3/8 seconds to decimal, it becomes 2.375 seconds
Therefore, he was fastest in the second heat.
The difference between the time he used to run in the second heat than in the first heat is
2.45 - 2.375 = 0.075 seconds
Answer:
logc(x) > logd(x)
Step-by-step explanation:
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
