Answer:
83.35 feet above ground.
Step-by-step explanation:
Please find the attachment.
We have been given that Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40 degrees. The kite string is 125 ft long.
We can see that the string of kite forms a right triangle with an angle of elevation (40 degrees) as shown in the attachment.
To solve for h, we will use sine as sine related opposite side of a right triangle with hypotenuse.





To find the height of kite off the ground, we will add height of Hudson to 80.35 feet as well as he is flying the kite.

Therefore, the kite is approximately 83.35 feet above ground.
Answer: 1 2/3
its is a mixed number because it has A whole number and a fraction.
Answer:
3.5
Step-by-step explanation:
5.99+0.65=6.64
6.64-3.14=3.5
Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y =
x - 3 ← in slope- intercept form
with slope m = 
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = -
x + 4 ← in slope- intercept form
with slope m = - 
Then
× -
= - 1
Since the product of their slopes = - 1 then the lines are perpendicular
Answer:

Step-by-step explanation:
1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.
This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together. (This work is shown in the first picture.)
Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.
2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:

Therefore, the answer would be
.