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zhuklara [117]
2 years ago
13

Find the length of each arc. Use the exact answer

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
3 0

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

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What is the true solution to 3 in 2 + in 8 = 2 in (4x)
11Alexandr11 [23.1K]
The first step for solving this equation is to determine the defined range.
3㏑(2) + ㏑(8) = 2㏑(4x), x > 0
Write the number 8 in exponential form.
3㏑(2) + ㏑(2³) = 2㏑(4x)
Using ㏑(a^{x}) = x × ㏑(a),, transform the expression.
3㏑(2) + 3㏑(2) = 2㏑(4x)
Now collect the like terms on the left side of the equation.
6㏑(2) = 2㏑(4x)
Switch the sides of the equation.
2㏑(4x) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the left side of the equation.
㏑((4x)²) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the right side of the equation.
㏑((4x)²) = ㏑(2^{6})
Since the bases of the logarithms are the same,, you need to set the arguments equal.
(4x)² = 2^{6}
Take the square root of both sides of the equation and remember to use both the positive and negative roots.
4x = +/- 8
Now separate the equation into 2 possible cases.
4x = 8
4x = -8
Solve the top equation for x.
x = 2
Solve the bottom equation for x.
x = 2
         , x > 0
x = -2
Lastly,, check if the solution is in the defined range to find your final answer.
x = 2
This means that the correct answer to your question is x = 2.
Let me know if you have any further questions
:)
5 0
2 years ago
Read 2 more answers
Plz help me-7.1(z-1.1)
Elena-2011 [213]

Answer:

<h2>-7.1z +7.81</h2>

Step by step explanation:

- 7.1(z - 1.1)

Multiply each term in paranthesis by -7.1

- 7.1 \times z - 7.1 \times ( - 1.1)

Multiply:

-7.1z + 7.81

Hope this helps...

Good luck on your assignment..

6 0
3 years ago
Can you guys help i’m kinda struggling
professor190 [17]

Answer:

D. GH = MN

Step-by-step explanation:

Second side is needed to prove congruence by SAS

Side must be on opposite side of equal angles given

6 0
2 years ago
Find the mean median and mode (I NEED HELP ASAP)
Lina20 [59]

Answer:

12) mode= no mode

     mean=62

     median=81

13) mode=74

mean=78

median =74

14) mode=80

mean=73

median=70

15)mode=70

mean=74

median=75

16)mode-no mode

mean=51

median=45

17)mode=86

mean=55

median=77

18)mode=no mode

mean=79

median=78

19)mode=70

mean=77

median=79

hope that helps :D

8 0
2 years ago
Read 2 more answers
Find the solution to the system of equations.
harina [27]

Answer:

x=2

y=3

Step-by-step explanation:

y=−2x+7

y=5x−7

Set the two equations equal since they are both equal to y

−2x+7 =5x−7

Add 2x to each side

-2x+7+2x = 5x-7+2x

7 = 7x-7

Add 7 to each side

7+7 = 7x-7+7

14 =7x

Divide by 7

14/7 = 7x/7

2 =x

Now find 7

y = 5x-7

y = 5(2) -7

y = 10-7

y = 3

4 0
3 years ago
Read 2 more answers
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