Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps
Answer:
22
Step-by-step explanation:
3.56 = 4
5.9 = 6
12.087 = 12
4+6+12 = 22
Hi there!

We can solve for x knowing that the sum of interior angles in a triangle is 180°.
The square at the bottom indicates a right angle, or 90°. Therefore:
180 = 90 + x + (x + 10)
Combine like terms:
180 = 100 + 2x
Subtract 100 from both sides:
180 - 100 = 2x
80 = 2x
Divide both sides by 2:
x = 40.
Answer: Tthe tower is 129 feet tall.
Step-by-step explanation:
According to trigonometry in a right triangle:

Let x be the height of the tower.
Given , 
Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.
![\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}](https://tex.z-dn.net/?f=%5Ctan%2065%5E%7B%5Ccirc%7D%3D%5Cdfrac%7Bx%7D%7B60%7D%5C%5C%5C%5C%5CRightarrow%5C%202.1445%3D%5Cdfrac%7Bx%7D%7B60%7D%5C%20%5C%20%5Ctext%7B%5BUsing%20calculator%5D%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%202.1445%5Ctimes60%3D128.67%5Capprox129%5Ctext%7B%20feet%7D)
Hence, the tower is 129 feet tall.
We have to find the quotient :
( 4 x³ y + 12 x² y³ - 20 x y ) / ( 4 x y ) =
= 4 x y ( x² + 3 x y² - 5 ) / ( 4 x y ) = ( Then 4 x y will be cancelled )
= x² + 3 x y² - 5
Answer:
D ) x² + 3 x y² - 5