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2 years ago

What is the correct notation for a function that has any given input value equal to its output value?

Mathematics

2 answers:

Ket [755]2 years ago

7 0

Answer:

0ption B is correct

ie:f(x) = x

Tatiana [17]2 years ago

4 0

Answer:

option B

Step-by-step explanation:

f(X) = x

is the answer

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3 years ago

A laptop computer sells for $850. the sales tax is 7%. what is the total cost of the laptop?

evablogger [386]

Answer:

$909.50

Step-by-step explanation:

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3 years ago

. Reason Rachel spent $36.32 in the grocery store. She paid the exact amount and used exactly 4 bills and 4 coins. What bills an

Margarita [4]

Answer:

She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies

Step-by-step explanation:

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3 years ago

Identify the initial amount a and the growth factor b in the exponential function

Olenka [21]

F(t)=1.4^t
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7 0

3 years ago

Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

11 months ago