Answer:
30
Step-by-step explanation:
Proportions!
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The velocity of the wind southward is 
The resultant velocity of the bird with the with wind is
Generally for an object moving in the northwest direction the angle with the horizontal is 45°
Generally the velocity of the bird in the along the x -axis is

Generally the velocity of the bird in the along the y -axis is

Here
is the velocity of the bird without the wind
Generally the resultant velocity of the bird with the with wind is mathematically represented as

=> 
Generally

and

So
![\sqrt{53} = \sqrt{(v_b* (\frac{1}{\sqrt{2} ))^2 + ([v_b * (\frac{1}{\sqrt{2} ) ]- 5)^2 }](https://tex.z-dn.net/?f=%20%20%5Csqrt%7B53%7D%20%20%3D%20%20%5Csqrt%7B%28v_b%2A%20%28%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%29%29%5E2%20%2B%20%28%5Bv_b%20%2A%20%28%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%29%20%5D-%205%29%5E2%20%7D)
=> 
=>
=>
Solving the above quadratic equation using quadratic formula we obtain that

The other value is negative so we do not make use of it because we know that the bird is moving in the positive x and y axis
Answer:
1. Proportional
2. Not proportional
3. Not proportional
Step-by-step explanation:
Let's see what percentage of the $8.80 order is the $1.32 tip.
To find what percent a p[art is of a whole, divide the part by the whole and multiply by 100%.
$1.32/$8.80 * 100% = 15%
Mike's tip was $15% of the total.
1. $2.22 tip on $14.80 order
15% of $14.80 = 0.15 * $14.80 = $2.22
Tip is proportional
2. $1.86 tip on $10.50 order
15% of $10.50 = 0.15 * $10.50 = $1.58
Tip is nor proportional
3. Same as option 2 above.
Answer:
212 feet
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
2. 5(b+3)
3. 5b + 15
4. 15 + 5b
Step-by-step explanation:
area of rectangle = length * breadth
length= b+3
breadth = 5