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stiks02 [169]
3 years ago
13

A person standing 20 feet from a streetlight casts a shadow as shown. How many times taller is the streetlight than the person?

Assume the triangles are similar.

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0
Attached solution and steps using proportions.

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On a certain hot​ summer's day, 500 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for
Anvisha [2.4K]

Answer:

IIG&UI*^&TG763eh783hiubydhe8743h^%ti289d3r8hf4y9h39857ty58i5

5 0
2 years ago
Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation
stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

\frac{dy}{dx} =\frac{-δ f/ δ x }{δ f/δ y }

Example:- \frac{dy}{dx}  = \frac{-(y+2x)}{(x+2y)}

Step-by-step explanation:

<u>Partial differentiation</u>:-

  • Let Z = f(x ,y) be a function of two variables x and y. Then

\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

  • Let Z = f(x ,y) be a function of two variables x and y. Then

\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

<u>Implicit function</u>:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

\frac{dy}{dx} =\frac{-δ f/ δ x }{δ f/δ y }

The total differential co-efficient

d z = δ z/δ x +  \frac{dy}{dx} δ z/δ y

<u>Implicit differentiation process</u>

  • differentiate both sides of the equation with respective to 'x'
  • move all d y/dx terms to the left side, and all other terms to the right side
  • factor out d y / dx from the left side
  • Solve for d y/dx , by dividing

Example :  x^2 + x y +y^2 =1

solution:-

differentiate both sides of the equation with respective to 'x'

2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0

move all d y/dx terms to the left side, and all other terms to the right side

x \frac{dy}{dx}  + 2y\frac{dy}{dx} =  - (y+2x)

Taking common d y/dx

\frac{dy}{dx} (x+2y) = -(y+2x)

\frac{dy}{dx}  = \frac{-(y+2x)}{(x+2y)}

7 0
3 years ago
help quick! if BC is parallel to DE, then all of the following are equivalent to each other except...
Alecsey [184]
Answer is letter c. (CE/AC)
8 0
3 years ago
Read 2 more answers
Combine like terms 10 - 4x + 3y - 17x
Oksana_A [137]

Answer:

-21x + 3y + 10

Step-by-step explanation:

10 - 4x + 3y - 17x

= -4x - 17x + 3y + 10

= -21x + 3y + 10

4 0
3 years ago
Read 2 more answers
Which property tells us to multiply the powers to simplify
MaRussiya [10]
There are a couple of operations you can do on powers
We can multiply powers with the same base
x4⋅x2=(x⋅x⋅x⋅x)⋅(x⋅x)=x6
xa⋅xb=xa+b
This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents
8 0
2 years ago
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