Write a symbolic representation (formula) for a linear function f that calculates the following.

If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest

Art [367]

Complete Question

If minor arc AB measures 9 inches, what is the length of the radius of circle C? Where the radians is 0.75 radians

If necessary, round your answer to the nearest inch. 6 inches 12 inches 18 inches 24 inches

Answer:

12 inches

Step-by-step explanation:

The formula for Arc length =

Arc length = r θ

θ = 0.75

Arc length = 9 inches

Hence:

r = 9/ θ

r = 9/0.75

r = 12 inches

3 0

2 years ago

Read 2 more answers

Find it nearest tenths

NNADVOKAT [17]

Answer:

Step-by-step explanation:

finding PR ( public relations :D , not that PR , the PR on this triangle thingy )

use law of cosines, again

c=sq rt [ a^2+b^2﹣2*a*b*cos(C) ]

where

c=PR

a= 9

b = 22

C = the angle of Q or 180 = 97+24+Q so Q = 180-97-24 = 59°

they tried to trick us.. by not giving us the angle C for the above cosine formula , but we figured out their diabolical plan :D yay super hero math

then

PR = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]

PR = sq rt [ 81 + 484 -203.9550777 ]

( notice that now it is a subtraction sign instead of a plus sign, this time? )

PR = sq rt [361.0449 ]

PR = 19.0011

to the nearest 10th

19.0 :)

6 0

2 years ago

Which is the last sentence of the proof? because f + e = 1, a2 + b2 = c2. Because f + e = c, a2 + b2 = c2. Because a2 + b2 = c2,

lyudmila [28]

The latest sentence of proof by using the triangle congruence method we can conclude that f+e=c, $a^{2} + b^{2} = c^{2}$ .

Given that ΔABC and ΔCBD are right triangles

Therefore, one angle of both triangle is of 90°

So, ∠B is same in both triangles. Hence, by suing the Angle-Angle theorem rule we can conclude that both ΔABC and ΔCBD are similar.

Consequently, ∠A is same in both triangles. Hence, by suing the Angle-Angle theorem rule we can conclude that both ΔABC and ΔCBD are similar.

Similarly, When two triangles are similar then their corresponding angles are equal and their corresponding sides are also equal.

Therefore , the two proportions can be rewritten as

a² = cf ( equation 1 )

b² = ce ( equation 2 )

By adding b² on both side of equation 1 then we can write equation 1 as

$a^{2} + b^{2} = b^{2}+cf$

$a^{2} + b^{2} = ce+cf$

Because b² and ce are equal and substitute on the right side of equation 1

Using the converse of distributive property in above equation then we get a new equation. That is,

$a^{2} +b^{2} = c(f+e)$

Because distributive property is a(b+c)=a(b+ac)

a² + b² = c²

Because e + f = c²

To learn more about triangle congruency: brainly.com/question/1675117

#SPJ4

6 0

1 year ago

I) The number of solutions to a linear equation is ___

TiliK225 [7]

Answer:

1

$x = 7 \\ x - 4 = \frac{6}{2} \\ x - 4 = 3 \\ x = 3 + 4$

2nd one

$3x = - 9 - 4 \\ 3x = - 13 \\ x = \frac{ - 13}{3} \\ x = \frac{ - 13}{3}$

which is 4.33333 its recurring

4 0

3 years ago

Read 2 more answers

Identify the terms, variables, coefficients and constants in each expression -4a-7b+5+c & 7-5h-2-k & 5-4x-8y & 9k+7-

Sunny_sXe [5.5K]

Problem 1

<h3>Answers:</h3>

Terms = -4a, -7b, 5, c
Variables = a, b, c
Coefficients = -4, -7, 1
Constants = 5

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

Explanation:

Each term is separated by a plus sign. If we had something like -4a-7b, then rewrite it as -4a+(-7b). This works because subtraction is really adding a negative. Example: 2-3 = 2+(-3)

So the original expression becomes -4a+(-7b)+5+c and we see there are four terms here.

The terms with the variables are -4a, -7b and c. The variables are simply letters so we just say a,b,c are the variables. The coefficients are the numbers to the left of the variables. For the term c, it is really 1c, so the coefficient is 1.

The constant is the term without a variable multiplied with it. So that would be the 5. As the name suggest, the constant term does not change based on whatever the variables are.

=========================================================

Problem 2

<h3>Answers:</h3>

terms = 7, -5h, -2, -k
variables = h,k
coefficients = -5, -1
constants = 7, -2

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

Explanation:

We'll follow the same idea as problem 1.

Rewrite 7-5h-2-k as 7+(-5h)+(-2)+(-k) and we see there are four terms.

The term -k is the same as -1k, so the coefficient is -1

The variables this time are h,k as those are the two letters that show up.

The constants are 7 and -2 because no variables are attached to them.

=========================================================

I'll let you do the rest. If you're still stuck, then please let me know

3 0

3 years ago

Write a symbolic representation​ (formula) for a linear function f that calculates the following.

Write a symbolic representation (formula) for a linear function f that calculates the following.