Determine the length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the centre of a circle with radius 7 cm.

Answers

Answer 1
Answer:

The length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm is 37.8 cm.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The arc subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm.

As we know, the relationship between radius of the circle, central angle, and arc length is:

s = rθ

r = 7 cm

θ = 5.4 radians.

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

s = 7×5.4

s = 37.8 cm

Thus, the length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm is 37.8 cm.

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Answer 2
Answer:

Answer:

37.8

Step-by-step explanation:

Length = radius * Θ

L=7*5.4

L=37.8

If wrong don't report, just notify me so I can edit.

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The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation represent the number of times feliz can drive to or from work with the gas in his tank

Answers

Answer:

Equation represent the number of times feliz can drive to or from work with the gas in his tank is (1)/(12)x=(5)/(6)

Step-by-step explanation:

The gas tank in felizs car is 5/6 full

When he drives to or from work he uses part of a full tank of gas =\frac{1}{12}

Let x be the  number of times feliz can drive to or from work with the gas in his tank

So, He uses part of full tank of gas in x drives =(1)/(12)x

So, ATQ

(1)/(12)x=(5)/(6)

x=(5)/(6) * 12

x=10

The number of times feliz can drive to or from work with the gas in his tank is 10

Hence equation represent the number of times feliz can drive to or from work with the gas in his tank is (1)/(12)x=(5)/(6)

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Line segments with the same length are said to be __________.

Answers

parallels!!!!!!!!!!!!!!

Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.2x^2 + x - 1 = 0
4/3x^2 - 2x + 3/4 = 0

Answers

Discriminant is b²-4ac in a quadratic equation Ax²+ Bx+C=0.

If the value of discriminant is less than zero, then the equation has two complex solutions
If the value of the discriminant is equal to zero, then the equation has one solution
If the value of the discriminant is more than zero, then there will be two real solutions.

Just plug in your values and you'll get the right answers.

What does n + 4n- 22=5 k equal?

Answers

5n-22=5

5n=5+22

5n=27

n=27 divide 5

N=27/5 or N=5.4


3. Given the following functions f(x) and g(x), solve f[g(7)] and select the correct answer below:f(x) = 4x + 21

g(x) = 2x + 2

16
49
85
784

Answers

The value of the required function f[g(7)] is 85.

What is a function?

A function is a relation between the input and the output of a system.

Given functions are:

f(x)= 4x + 21\ng(x)=2x+2

Therefore, the required function:

f(g(x))\n= 4g(x)+21\n= 4(2x+2)+21\n= 8x+8+21\n= 8x+29

Now,

f[g(7)]\n= 8(7)+29\n= 56+29\n= 85

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Hello,
f(g(x))=f(2x+2)=4(2x+2)+21=8x+29
f(g(7))=8*7+29=56+29=85

What is a factor of twenty four?

Answers

Factors of 24 are (1*24), (2*12), (3*8), (4*6)