This is the answer for this question.
Answer:
Step-by-step explanation:
The diagram of the stadium and the blimp is shown in the attached photo. A right angle triangle, ABC is formed. Angle A is alternate to the angle of depression. This mean that they are equal. So angle A =40 degrees.
The distance of the the Blimp from the stadium is x feet which is the hypotenuse of the triangle.
Applying trigonometric ratio,
Sin 40 = 400/x
xsin40 = 400
x = 400/sin40 = 400 / 0.6428
x = 622.3 feet
Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.
![Area = \pi r^{2}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cpi%20r%5E%7B2%7D)
Since the radius of the circle is 4.7 inches, we can plug 4.7 in for the radius in our formula.
![Area = (\pi) (4.7 in.)^{2}](https://tex.z-dn.net/?f=Area%20%3D%20%28%5Cpi%29%20%284.7%20in.%29%5E%7B2%7D)
Remember that 4.7 in.² is equal to 4.7 inches × 4.7 inches or 22.09 in.².
![Area = 22.09\pi in.^{2}](https://tex.z-dn.net/?f=Area%20%3D%2022.09%5Cpi%20in.%5E%7B2%7D)
Now, remember that pi is approximately equal to 22/7 or 3.14. This means that we can estimate the area of the circle by plugging in 3.14 for pi.
![Area = (22.09) (3.14)](https://tex.z-dn.net/?f=Area%20%3D%20%2822.09%29%20%283.14%29)
Area = 69.36 in.²
Now, let's find the circumference of the circle. To find the circumference of a circle, start with the formula for the circumference.
Circumference = 2πr
Notice that our radius is 4.7 inches which means we can plug in 4.7 inches for the radius in our formula.
Circumference = (2) (π) (4.7 in)
Circumference = 9.4π inches
ANSWER
B. x=3,y=2
EXPLANATION
The given equations are
![x - 3y = - 3...(1)](https://tex.z-dn.net/?f=x%20-%203y%20%3D%20%20-%203...%281%29)
and
![x + 3y = 9...(2)](https://tex.z-dn.net/?f=x%20%2B%203y%20%3D%209...%282%29)
We add the two equations to eliminate y.
This implies that that:
![x + x - 3y + 3y = 9 + - 3](https://tex.z-dn.net/?f=%20x%20%2B%20x%20-%203y%20%2B%203y%20%3D%209%20%2B%20%20-%203)
Simplify:
![2x = 6](https://tex.z-dn.net/?f=2x%20%3D%206)
Divide both sides by 2.
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
We put x=3 into any of the equations to find y.
Let us substitute x=3 into equation (1) to get:
![3 - 3y = - 3](https://tex.z-dn.net/?f=3%20-%203y%20%3D%20%20-%203)
![- 3y = - 3 - 3](https://tex.z-dn.net/?f=%20-%203y%20%3D%20%20-%203%20-%203)
![- 3y = - 6](https://tex.z-dn.net/?f=%20-%203y%20%3D%20%20-%206)
Divide both sides by -3 to get;
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
The solution is therefore x=,y=2.
Answer:
y=cx-b/a
Step-by-step explanation:
ay+b=cx
ay=cx-b
y=cx-b/a