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2 years ago

I’m confused on this one

Mathematics

1 answer:

Elina [12.6K]2 years ago

8 0

The question is asking for the sector arc length WZ,which can be find through the sector formula:
$2\pi \: r \times \frac{angle}{ {360}^{o} }$
Since both cz and wz are the radius, they have the same length
cz=wz=5 in.

In this case,
2丌(5)× 122°/360°
=10丌×61/180
=61/36 ×丌
≈5.32in.

Thus 5.32in. is the answer.

Hope it helps!

You might be interested in

The parabola with equation $y=ax^2+bx+c$ is graphed below:

Mashutka [201]

Answer:

$m-n=2$

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

$f(x)=a(x-h)^2+k$

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

$f(x)=a(x-2)^2-4$

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

$12=a((4)-2)^2-4$

Solve for a. Subtract within the parentheses:

$12=a(2)^2-4$

Add 4 to both sides:

$16=a(2)^2$

Square:

$16=4a$

Solve:

$a=4$

Thererfore, the value of a is 4.

So, our function is:

$f(x)=4(x-2)^2-4$

Now, let’s find our roots. Set the equation to 0 and solve for x:

$0=4(x-2)^2-4$

$4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1$

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0

3 years ago

Read 2 more answers

The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function. The ve

eimsori [14]

The graph of the function f(x) = -(x+1)^2 shows that the domain of the function f(x) = -(x+1)² is: -∞ < x < ∞. The range of the function is f(x) ≤ 0.

<h3>What is the graph of a function?</h3>

The graph of a function is the arrangement of all ordered pairs of the function. Typically, they are expressed as points in a cartesian coordinate system. The graph of f is the collection of all ordered pairings (x, f(x)) such that x lies inside the domain of f.

The graph of a function might similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.

From the given information: the graph of the function f(x) = -(x+1)² can be determined if the domain, the range, and the vertex of the function are known.

The domain of the function f(x) = -(x+1)² is: -∞ < x < ∞
The range of the function is f(x) ≤ 0
The x-intercepts and the y-intercepts are (-1,0) and (0, -1) respectively
The vertex is maximum at (-1,0)

Since the parabola curve from the graph shows that the graph is facing down, then the function is negative and decreasing.

Learn more about the graph of a function here:

brainly.com/question/24696306

#SPJ1

8 0

1 year ago

HELLPPP <br> I need help asappp

sattari [20]

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 . subtract 40 from both sides

-2y=-10 . divide both sides by-2

y=5

3 0

2 years ago

You're playing a game when you defend your village from an orc invasion there are three characters elf hobbit or human and five

34kurt

The probability that you'll be a magic elf is $\frac{1}{15}$ or 6.66%.

Step-by-step explanation:

Step 1:

Let A be the event of you choosing an elf.

The probability of an event is given by dividing the number of favorable outcomes by the total number of outcomes.

Here the number of favorable outcomes is 1 and the total number of outcomes is 3 i.e. elf, hobbit or human.

The probability of choosing an elf, $P(A) = \frac{1}{3} .$

Step 2:

Let B be the event of you choosing magic as your defense.

In this situation, the number of favorable outcomes is 1 and the total number of outcomes is 5 i.e. magic, sword, shield, slingshot, or umbrella.

The probability of choosing magic as your defense, $P(B) = \frac{1}{5} .$

Step 3:

The probability of both events A and B happening, we multiply the individual probabilities.

$P(getting a magic elf) = (P(A))(P(B)) = (\frac{1}{3} )(\frac{1}{5} ) = \frac{1}{15} = 6.66\%.$

8 0

3 years ago

4. Which of these non-terminating decimals can be converted into a rational number? A. 0.874387438743... B. 0.0000100020003... C

Umnica [9.8K]

Answer: A. 0.874387438743.. is a rational number.

Step-by-step explanation:

Since Any number that can be written in fraction form is a rational number if it can be in the form of p/q where p and q are integers and q≠0

Since we can write 0.874387438743... = $\frac{8743}{9999}$

Where, 8743 and 9999 are integers and 9999≠0

Thus, 0.874387438743... is a rational number.

But, 0.0000100020003... , 5.891420975..... and 10.07401259... can not be written in the form of p/q therefore they are not the rational number.

Therefore, Only Option A is correct.

6 0

3 years ago