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2 years ago

Nick cut a circular cookie into 5 equal slices. what is the angle measure of each slice?

Mathematics

1 answer:

NemiM [27]2 years ago

5 0

Answer:

72°

Step-by-step explanation:

The cookie has a shape of a circle. A circle is the locus of a point such that its distance from a point (center) is always the same. The sum of angles around the circle center is 360°.

Let x be the measure of the angle in each slice. Therefore the sum of the total 5 slice is:

x + x + x + x + x = 360

5x = 360

Dividing through by 5:

5x / 5 = 360 / 5

x = 72°

Each slice has an angle measure of 72°

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A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =

ludmilkaskok [199]

Answer:

$t = 0.375s$

Step-by-step explanation:

Given

$h(t) = -16t^2 + 4t + 33$ --- driver 1

$Rate = 2ft/s$ -- driver 2

$height = 33ft$

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

$Rate = 2ft/s$ and $height = 33ft$

So, the function is:

$h_2(t) = Height - Rate * t$

$h_2(t) = 33 - 2t$

The time they drive pass each other is calculated as:

$h(t) = h_2(t)$

$-16t^2 + 4t + 33= 33 - 2t$

Collect like terms

$-16t^2 + 4t + 2t= 33 - 33$

$-16t^2 + 6t= 0$

Divide through by 2t

$-8t + 3= 0$

Solve for -8t

$-8t = -3$

Solve for t

$t = \frac{-3}{-8}$

$t = 0.375s$

7 0

2 years ago

1. The graph of f(x) = |x| is shown below. Write the equation for the stretched graph, g(x).

baherus [9]

Answer:

Step-by-step explanation:

If the input is 2 and the output is 6, then f(x) = 3IxI

5 0

2 years ago

What is 5/12 times 1 1/3

vaieri [72.5K]

5/9
5 times 4= 20
12 times 3=36
20/36=5/9

8 0

3 years ago

Tom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probab

Musya8 [376]

Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options

<h3>How to categorize the simulations?</h3>

From the question, we have the following parameters:

Number of throws = 30
Number of hits = 20

This means that the probability of hit is:

P(Hit) = 20/30

Simplify

P(Hit) = 2/3

Using the complement rule,

P(Miss) = 1/3

The above means that the simulation that represents the situation must have the following parameters:

P(Success) = 2/3
P(Failure) = 1/3
Number of experiments = 3

Using the above highlights, the correct scenarios are:

Rolling a die three times with numbers 1 to 4 representing a hit
Spinner a spinner of 3 equal sections three times with two sections representing hit
Spinner a spinner of 6 equal sections three times with four sections representing hit