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3 years ago

Find the constant of variation for the relationship f(x)= 40x.

2 answers:

8 0

We are given the expression f(x) = 40x where f(x) is the dependent variable and x is the independent variable. In this case, we can see that f(x) is directly proportional to x and that the constant of propotionality is 40. Answer then to this problem is D. 40

Vadim26 [7]3 years ago

4 0

Constant of variation is 40

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The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the form

zalisa [80]

Answer:

$b=\dfrac{2A}{h}$

Step-by-step explanation:

The formula for the area of a triangle is given by :

$A=\dfrac{1}{2}bh$ ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

$2A=bh$

Now dividing both sides by h. So,

$\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}$

So, the correct option is (D) i.e. $\dfrac{2A}{h}$ .

8 0

3 years ago

Volume = 4,410 yd 30 yd radius =

Y_Kistochka [10]

Answer:

Radius = 11.85yd

Step-by-step explanation:

Volume of a Cone formula: V = πr²(h/3)

We know that;

V = Volume

r = radius

π = pi (this is a sign located on your calculator)

h = height

We are given that;

V = 4,410

r = unknown

h = 30

Let's substitute the values in:

=> V = πr²(h/3)

=> 4,410 = πr²(30/3)

=> 4,410 = πr²(10)

=> 4,410 / 10 = πr²

=> 441 = πr²

=> 441 / π = r²

=> 140.37 = r²

=> $\sqrt{140.37}$ = r

=> 11.85 = r

Therefore, the radius of the cone = 11.85yd

Hope this helps!

8 0

3 years ago

1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75

ryzh [129]

If this were to be graphed, the independent variable would be the price of the ticket for the rides. The dependent variable would be the total cost.

The fair admission is not a variable because it is a constant price for every single person who goes into the fair.

The problem asks to use y to represent the total cost and x to represent the number of ride tickets. In order to fully write out the equation, we have to figure out what the fair admission costs.

43.75 = 1.25(25) + b

*b represents the fair admission

Multiply 1.25 by 25

43.75 = 31.25 + b

Subtract 31.25 to find what b costs.

12.50 = b

The fair admission costs $12.50.

Solution: y = 1.25x + 12.50

3 0

3 years ago

Read 2 more answers

What is the solution of x+4/2x-1<0

Vikentia [17]

Answer:

$\large\boxed{ -4$