Answer:
The proof is below.
Step-by-step explanation:
Given two triangles similar.
we have to prove that ratio 
As, △OKE∼△VDE
∴ their corresponding sides are in same proportion.

⇒ 
⇒ [tex}\frac{EK}{EO}=\frac{VE}{ED}[/tex]
Hence Proved.
Equation of circumference is C=2pi times radius
So radius being 32 and pi being 3.14
You would do
2x3.14x32
= 200.96
Hope I helped
Answer:
40.18
Step-by-step explanation:
According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.
The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.
Mean = Σx/n
For the computation error:
Mean = 40
Let x represent the sun of other 98 values except 30 and 27
n = 100
40 = x + 30 + 27/100
40 = 57 + x/100
Cross multiply
4000 = 57 + x
x = 4000 - 57
x = 3943.
Sum of other 98 values = 3943.
Now, let's find the correct mean with correct values of 3 and 72;
Mean = Σx/n
Mean = 3943 + 3 + 72/100
Mean = 4018/100
Mean = 40.18
Step-by-step explanation:
if x is equal to - 1
Then
2x² + 5x + 6
= 2* ( -1)² + 5 * (- 1) + 6
= 2 - 5 + 6
= 8 - 5
= 3
Hope it will help :)❤
Step-by-step explanation:
<u>Answer(1):</u>
Law of Cosines.
<u>Answer(2):</u>
since side "c" is missing so we will write formula used for side "c"

<u>Answer(3):</u>
First lets write both sine and cosine formulas:
Check the attached picture for the list of formulas:
From given picture we see that two angles A and B are missing. Also 1 side "c" is missing.
Sine formula uses two angles while cosine formula uses only one angles.
Hence cosine formula will be best choice to find the missing values.