Answer:
Tan B = 12/5
Sin B = 12/13
Cos B = 5/13
Step-by-step explanation:
sine B = opposite (12)/hypotenuse (13)
= 12/13
Cosine B = adjacent/hypotenuse
= 5/13
Tangent B = opposite/adjacent
= 12/5
Here is a picture that can always help you with the three trig ratios.
We are given
The equation that models this trip is T= 36x + 60
T represents the total cost for the group to take the trip and
X equals the number of people going
we know that
Domain is all possible values of x for which any function is defined
Since, number of people can neither be negative nor in decimals
so, x can not be negative or in decimals
now, we will check each options
option-A:
x=40
This is positive and whole number
so, this can be domain
so, this is TRUE
option-B:
x=60
This is positive and whole number
so, this can be domain
so, this is TRUE
option-C:
0< x< 40
It also includes decimals numbers
and we know that
x can not be in decimals
so, this is FALSE
option-D:
0< x< 39
It also includes decimals numbers
and we know that
x can not be in decimals
so, this is FALSE
<h3>The given expression as single exponent is:</h3>

<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>

In exponents,
When the base is same, exponents can be added
Which means,

Therefore,

Thus the given expression as single exponent is:

Answer:
The correct option is D.
Step-by-step explanation:
The linear regression equation is in the form of

Where,


The formula of r is
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n(\sum x^2)-(\sum x)^2][n(\sum y^2)-(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%28%5Csum%20x%5E2%29-%28%5Csum%20x%29%5E2%5D%5Bn%28%5Csum%20y%5E2%29-%28%5Csum%20y%29%5E2%5D%7D%7D)
The values are

Using above formula, we get

Therefore option D is correct.
Answer:
River weight is 124.05 pounds
Step-by-step explanation:
We are given
Spot weights 75.25 pounds
so,
Spot =75.25 pounds
rover weights 48.8 pounds more than spot
so, we get
Rover = Spot +48.8
now, we can plug value
and we get
Rover = 75.25 +48.8
Rover = 124.05 pounds
So,
River weight is 124.05 pounds