The answer is -3
-12c = 43 - 7
-12c = 36
÷ -12 ÷-12
c = -3
Answer:
2.
a)1
b)1
c)1
Step-by-step explanation:
There's some identity trigonometric equation, which are valid for all angles,and they doesn't depends on the measure of angle!
some of em are follows:. (x is the given angle)
- sin(x)^2+cos(x)^2=1
- cosec(x)^2=1+cot(x)^2
- sec(x)^2=1+tan(x)^2
You can remember these identity, its gonna help alot.
now back to question,. {x is representing angles)
for (a) sin(x)^2+cos(x)^2=1, this is true for all x, dat means that for all the angle given in question(for ,15°,30°,45°,60° and 120°),we will get 1
for(b) ,
cosec(x)^2=1+cot(x)^2
i.e, cosec(x)^2-cot(x)^2=1, again this is true for all x dat means that for all the angle given in question ,we will get 1
for (c),
sec(x)^2=1+tan(x)^2
i.e,sec(x)^2-tan(x)^2=1,again this is true for all x, dat means that for all the angle given in question ,we will get 1
✌️:)
Answer:
The heaviest 5% of fruits weigh more than 747.81 grams.
Step-by-step explanation:
We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.
Let X = <u><em>weights of the fruits</em></u>
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean weight = 733 grams
= standard deviation = 9 grams
Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;
P(X > x) = 0.05 {where x is the required weight}
P(
>
) = 0.05
P(Z >
) = 0.05
In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;



x = 747.81 grams
Hence, the heaviest 5% of fruits weigh more than 747.81 grams.
1: (pi)5^2 = 78.54 then multiply that by 11 and you get 863.94
2: (pi)13^2= 530.93 then multiply that by 8 and you get 47247.44
3. (pi)18^2= 1017.88 then multiply that by 22 and you get 22393.36