Ask question

Ask question

All categories

2 years ago

14

A circle has a radius of 4 meters and a central angle AOB that measures 120°. What is the length of the intercepted arc AB? Use

3.14 for pi and round your answer to the nearest tenth.

2 answers:

Valentin [98]2 years ago

6 0

<span>120 degs --> 1/3 of the circumference :) hope i helped!</span>

andrew11 [14]2 years ago

5 0

Circumference of the Circle:
2πr --> 2(3.14)(4) = 25.12
<AOB = 120°,
Length of arc AB:
(120/360) x 25.12 = 8.37333

You might be interested in

I need help on number 17 and 18 on how to find the area of the figure

JulsSmile [24]

17. Area of triangle: 1/2bh
1/2 * 12 * 15
1/2 * 180
=90 cm^2

18. Area of trapezoid: 1/2 h (b1 + b2)
1/2 * 8 ( 12 + 15.4)
4 * 27.4
= 109.6 cm^2

3 0

2 years ago

Read 2 more answers

Which expression is equivalent to 3m+1-m?

Lisa [10]

Answer:

option (a) is correct.

2 + m - 1 + m is an equivalent expression to the given expression 3m+1-m

Step-by-step explanation:

Given expression 3m+1-m

We have to choose an equivalent expression from given options.

Equivalent expression are those expression that looks different but are same.

Like 4+2 = 6 and 3+ 3 = 6

Both have same value but looks differently.

Like terms are term having same variable with same degree.

Consider the given expression 3m+1-m

Simplify by adding like terms,

3m + 1 - m = (3-1) m + 1

Thus, (3-1) m + 1 = 2m + 1

Also 2m + 1 can be written as m + m + 2 - 1

Thus, option (a) is correct.

6 0

2 years ago

Read 2 more answers

I dont understand how to write this 2 problems out in equivalent form

deff fn [24]

Just do 1/8 times 1/8. Hope this helped !!

8 0

2 years ago

What is the first and second, both have the same answers

padilas [110]

Answer:

A

Step-by-step explanation:

4 0

2 years ago

Each week, Heather’s company has $5000 in fixed costs plus an additional $250 for each system produced. The company is able to p

kvv77 [185]

The question is an illustration of composite functions.

Functions c(n) and h(n) are $\mathbf{c(n) = 5000 + 250n}$ and $\mathbf{n(h) = 5h}$
The composite function c(n(h)) is $\mathbf{c(n(h)) = 5000 + 1250h}$
The value of c(n(100)) is $\mathbf{c(n(100)) = 130000}$
The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>

The given parameters are:

$5000 in fixed costs plus an additional $250
5 systems in one hour of production

<u>(a) Functions c(n) and n(h)</u>

Let the number of system be n, and h be the number of hours

So, the cost function (c(n)) is:

$\mathbf{c(n) = Fixed + Additional \times n}$

This gives

$\mathbf{c(n) = 5000 + 250 \times n}$

$\mathbf{c(n) = 5000 + 250n}$

The function for number of systems is:

$\mathbf{n(h) = 5 \times h}$

$\mathbf{n(h) = 5h}$

<u>(b) Function c(n(h))</u>

In (a), we have:

$\mathbf{c(n) = 5000 + 250n}$

$\mathbf{n(h) = 5h}$

Substitute n(h) for n in $\mathbf{c(n) = 5000 + 250n}$

$\mathbf{c(n(h)) = 5000 + 250n(h)}$

Substitute $\mathbf{n(h) = 5h}$

$\mathbf{c(n(h)) = 5000 + 250 \times 5h}$

$\mathbf{c(n(h)) = 5000 + 1250h}$

<u>(c) Find c(n(100))</u>

c(n(100)) means that h = 100.

So, we have:

$\mathbf{c(n(100)) = 5000 + 1250 \times 100}$

$\mathbf{c(n(100)) = 5000 + 125000}$

$\mathbf{c(n(100)) = 130000}$

<u>(d) Interpret (c)</u>

In (c), we have: $\mathbf{c(n(100)) = 130000}$

It means that:

The cost of working for 100 hours is $130000

Read more about composite functions at:

brainly.com/question/10830110

5 0

2 years ago