Answer:
137 m²
Formula's:
- area of rectangle: length + width
- area of triangle: 1/2 * base * height
Explanation:
⇒ area of rec + area of rec + area of rec + area of triangle
⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5
⇒ 8 + 42 + 72 + 15
⇒ 137 m²
Answer: 0.9927
Step-by-step explanation:
We assume that the number of earthquakes that occur in Los Angeles follows normal distribution.
As per given , we have

Sample size : n= 35
Let
be the sample mean.
Now ,

Hence, the probability that the mean of the sample is between 34 and 37.5. is 0.9927 .
The answer is x=7. I hope this helps. Tell me if you need an explanation!
You are going to use the cos trig function as you have the adjacent side and the hypotenuse.
Cos^-1(12/13)=angle x
22.62

We will use trigonometric identities to solve this. I will use θ (theta) for the angle.
First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.
We can replace cotθ in the expression with 1/tanθ.

Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1
So now, we have:

Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.
We can replace secθ with 1/cosθ in our expression.

Simplify:

Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.
We can replace sinθ/cosθ with tanθ.
Now we have as our final answer:

Hope this helps!