Answer:
Large Box = 18.5
Small Box = 15.75
Step-by-step explanation:
Let x = large box and y = small box
5x+6y=187
3x+2y=87
cancel out one equation
(5x+6y=187)•3=15x+18y=561
(3x+2y=87)•-5=15x+10y=435
15x+18y=561
-15x-10y=-435
–––––––––––
0+ 8y= 126
8y÷8 =126÷8
y=15.75
Substitute y into either original equation
3x+2(15.75)=87
3x+ 31.5=87
3x+ 31.5-31.5=87-31.5
3x=55.5
3x÷3=55.5÷3
x=18.5
The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
![tanx = \frac{opposite side}{adjacent side}.](https://tex.z-dn.net/?f=tanx%20%3D%20%5Cfrac%7Bopposite%20side%7D%7Badjacent%20side%7D.)
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
![tan x = \frac{25,000}{45,000} = 0.5555.](https://tex.z-dn.net/?f=tan%20x%20%3D%20%5Cfrac%7B25%2C000%7D%7B45%2C000%7D%20%3D%200.5555.)
So x = 29.0521°. Since x < 30°, it is a safe landing.
Simple..
there is a major difference between 6z and
![z^{6}](https://tex.z-dn.net/?f=%20z%5E%7B6%7D%20)
6z means: 6 times z
and
![z^{6}](https://tex.z-dn.net/?f=%20z%5E%7B6%7D%20)
means: z to the power of 6(z*z*z*z*z*z)
An example...
make z=2...plug n chug..
6z----> 6(2)=12
and
![z^{6}](https://tex.z-dn.net/?f=%20z%5E%7B6%7D%20)
--->
![2^{6}](https://tex.z-dn.net/?f=%202%5E%7B6%7D%20)
=64
As you can see..there is a
major difference.
Thus, your answer.
Answer:
15 and 4 1/4 pounds of meat to the female tiger
Step-by-step explanation: