Step-by-step explanation:
Let the length of the bridge be x
Since, triangles ADF and BCF are similar, ratio of their corresponding sides are equal.
Therefore,
60 / 144 = 40 / x
X (length of the bridge) = <u>96 m</u>
Answer:
The domain of function
is set of all real numbers.
Domain: (-∞,∞)
Step-by-step explanation:
Given:


the domain of both the above functions is all real number.
To find domain of :

Substituting functions
and
to find 

The product can be written as difference of squares. ![[a^2-b^2=(a+b)(a-b)]](https://tex.z-dn.net/?f=%5Ba%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29%5D)
∴ 
The degree of the function
is 2 as the exponent of leading term
is 2. Thus its a quadratic equation.
For any quadratic equation the domain is set of all real numbers.
So Domain of
is (-∞,∞)
1) the longest side is 5cm and the perimeter is 12cm
2) longest side is 12.04 or just 12
3) 241 miles apart
4) Yes it is
Answer:
I believe the answer is y = -7/3x
Step-by-step explanation:
When you rearrange the equation, y = -3x - 8y, you will get -7y = -3x.
We want the equation to be equal to y by itself. So we divide -7 from both sides, giving us the equation y = 3/7x.
The graph that is perpendicular to y = 3/7x is it's reciprocal: y = -7/3x
Answer: 2/3πx³
Step-by-step explanation:
Let the radius of the cone be represented by x.
Since the height of the cone is twice the radius of its base, the height will be: = 2x
Volume of a cone = 1/3πr²h
where,
r = x
h = 2x
Volume of a cone = 1/3πr²h
= 1/3 × π × x² × 2x
= 1/3 × π × x² × 2x
= 1/3 × π × 2x³
= 2/3πx³
Therefore, the correct answer is 2/3πx³.