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2 years ago

Find the arc length of the 3/4 of a circle with a radius of 5

Mathematics

1 answer:

IgorLugansk [536]2 years ago

3 0

Answer:

7.5 pi

Step-by-step explanation:

The formula for arc length of a sector is denoted as

$\frac{x}{360}2\pi r$ , where x is the central angle of the sector.

Since the sector is 3/4 of a circle, the central angle will be 3/4 of 360 degrees.

3/4 of 360 is 270, so we have our central angle. We also have our radius which we can plug into the formula.

$\frac{270}{360}2(5)\pi$

2 times 5 is equal to 10, and 270/360 simplifies to 3/4. 3/4 times 10 is equal to 7.5, so the answer is 7.5 pi

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What is 0.32 as faction

Black_prince [1.1K]

Answer:

8/25

Step-by-step explanation:

0.32 as a fraction is 8/25

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3 years ago

Solve -6n+5=59 it’s a 2 step equation and I need to no how to do it step by step

Nonamiya [84]

Answer: n = -9

Step-by-step explanation:

-6n + 5 = 59 (Given)

-6n -5 = 59 - 5 (Subtraction Property of Equality)

-6n = 54 (Simplify)

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2 years ago

Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and d

DIA [1.3K]

Answer:

Set of alternative optimal solution : 0 ≤ z ≤ 1.5

Hence There will be an infinite set of Alternative optimal solution

Step-by-step explanation:

considering Cx1 = 4

∴ C = 4 / x1

Cx2 = 6

∴ 4x2 - 6x1 = 0

2x2 - 3x1 = 0 ------ ( 1 )

considering Cx3 = 6

C = 6/x3

Cx4 = 3

∴ (6/x3) x4 - 3 = 0

= 2x4 - x3 = 0 ---- ( 2 )

attached below is the remaining part of the solution

set of alternative optimal solution : 0 ≤ z ≤ 1.5

There will be an infinite set of Alternative optimal solution

4 0

2 years ago

Please someone help me with this.... What is 2-1

Dimas [21]

The answer to that is 1

3 0

2 years ago

Read 2 more answers

Solve. 13 - 2x1 = 9 A. X=-3 B. X=6 C. X=-3, x = 6 D. x = 3, x = 6

Vlada [557]

$\huge\text{Hey there!}$

$\large\boxed{\mathsf{13 - 2x^1 = 9}}\\\\\large\boxed{\mathsf{\rightarrow 13 - 2x = 9}}\\\\\large\boxed{\rightarrow \mathsf{-2x + 13 = 9}}\\\\\large\boxed{\textbf{SUBTRACT 13 to BOTH SIDES}}\\\\\large\boxed{\mathsf{-2x + 13 - 13 = 9 - 13}}\\\\\large\boxed{\textbf{CANCEL out: 13 - 13 because it gives you 0}}\\\large\boxed{\textbf{KEEP: 9 - 13 because it help solve for the x-value}}\\\\\large\boxed{\textbf{NEW EQUATION: -2x = 9 - 13}}\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{-2x = -4}}$

$\large\boxed{\textbf{DIVIDE -2 to BOTH SDES}}\\\\\large\boxed{\mathsf{\dfrac{-2x}{-2} = \dfrac{-4}{-2}}}\\\\\large\boxed{\textbf{CANCEL out: } \mathbf{\dfrac{-2}{-2}} \textbf{ because it gives you 1}}\\\\\large\boxed{\textbf{KEEP: } \bf \dfrac{-4}{-2} \textbf{ because it gives you the value of x}}\\\\\large\boxed{\textbf{NEW EQUATION: } \mathbf{x= \dfrac{-4}{-2}}}\\\\\boxed{\large\textsf{SIMPLIFY IT!}}\\\\\large\boxed{\textbf{x = 2}}$

$\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 2}}}\huge\checkmark$

$\large\textbf{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}$

7 0

2 years ago