In the largest triangle, the missing side has length
√((11 + 5)² - <em>x</em> ²) = √(256 - <em>x</em> ²)
But it's also the hypotenuse of the triangle with side lengths 11 and <em>y</em>, so that its length can also be written as
√(11² + <em>y</em> ²) = √(121 + <em>y</em> ²)
so that
√(256 - <em>x</em> ²) = √(121 + <em>y</em> ²)
or, by taking the squares of both sides,
256 - <em>x</em> ² = 121 + <em>y</em> ²
<em>y</em> ² = 135 - <em>x</em> ²
In the smallest triangle, you have
5² + <em>y</em> ² = <em>x</em> ² ==> <em>x</em> ² = 25 + <em>y</em> ²
Substitute this into the previous equation and solve for <em>y</em> :
<em>y</em> ² = 135 - (25 + <em>y</em> ²)
<em>y</em> ² = 110 - <em>y</em> ²
2<em>y</em> ² = 110
<em>y</em> ² = 55
<em>y</em> = √55
Answer:
4,486.93 ft
Step-by-step explanation:
Let 'h' be the height of the mountain and 'x' be the horizontal distance between the first position measured and the top of the mountain.
Two right triangles can be modeled such that their tangent relationships yield:
Solving the linear system:
The mountain is 4,486.93 ft high.
9514 1404 393
Answer:
15/22 peso/m^2 ≈ 0.68182 peso/m^2
Step-by-step explanation:
The area is the product of the dimensions. 1 km = 1000 m.
A = (550 m)(550·1000 m) = 302,500,000 m^2
The price per square meter is ...
206,250,000/302,500,000 peso/m^2
= 15/22 peso/m^2 ≈ 0.68182 peso/m^2
Answer:
= 3(49c^2+16)
Step-by-step explanation:
Answer:
5^6
Step-by-step explanation:
5^5×5 = 5^5×5^1 = 5^(5+1) = 5^6
_____
This may become more obvious if you remember that an exponent signifies repeated multiplication:
(5^5)·(5) = (5·5·5·5·5)·(5) = 5·5·5·5·5·5 = 5^6
