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3 years ago

Find the distance around a circle with a diameter of 15.6 meterspls hurry up I'm timed:)

Mathematics

1 answer:

777dan777 [17]3 years ago

6 0

48.984 meters

Step-by-step explanation:

The distance around a circle is called the circumference, the formula for the circumference is...

$C=\pi d$

$C=2\pi r$

Since we have the diameter we will be using the first one.

$C=3.14*15.6$

$C =$

48.984 meters.

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You are tossing an apple. After t seconds, the height of the apple in feet is given by h = -16t2 + 38.4t + 0.96. What is the dom

Nesterboy [21]

Using function concepts, it is found that the domain is 0 ≤ t ≤ 2.4, given by option C.

----------------------

The height of the apple after t seconds is given by:

$h(t) = -16t^2 + 38.4t + 0.96$

The domain of a function is the set that contains all possible input values.
The possible input values for this situation are the values of t between 0 and the instant in which the apple hits the ground, which is t for which $h(t) = 0$ .

----------------------

$h(t) = -16t^2 + 38.4t + 0.96$

Which is a quadratic equation with $a = -16, b = 38.4, c = 0.96$

To find the solutions:

$\Delta = b^2 - 4ac = (38.4)^2 - 4(-16)(0.96) = 1536$

$t_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 + \sqrt{1536}}{2(-16)} = -0.0247$

$t_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 - \sqrt{1536}}{2(-16)} = 2.4$

The apple is in the air for 0 ≤ t ≤ 2.4, which means that the domain is given by option C.

A similar problem is given at brainly.com/question/23932338

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B) y = log2 (4" - 4) find the inverse of this equation

GuDViN [60]

Answer:

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Assuming the given logarithmic equation is

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$x= \log_{2}( {4}{y} - 4)$

We solve for y now:

${2}^{x} = {4}{y} - 4$

We add 4 to both sides to get;

${2}^{x} + 4 = 4y$

Divide through by 4:

$y = \frac{1}{4} \times {2}^{x} - 1$

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