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Inessa [10]
3 years ago
14

What is the degree measure of an arc 4 pie ft long in a circle of radius 10 ft

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

ow do you find arc length without the radius?

To calculate arc length without radius, you need the central angle and the sector area:

Multiply the area by 2 and divide the result by the central angle in radians.

Find the square root of this division.

Multiply this root by the central angle again to get the arc length.

The units will be the square root of the sector area angle.

Check your result with Omni Calculator.

Or the central angle and the chord length:

Divide the central angle in radians by 2 and perform the sin function on it.

Divide the chord length by double the result of step 1. This gives you the radius.

Multiply the radius by the central angle to get the arc length.

Check your result with Omni Calculator

Step-by-step explanation:

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What are the ordered pairs of the
9966 [12]

Start by writing the system down, I will use y to represent f(x)

y=x^2-5x+3\wedge y=-3

Substitute the fact that y=-3 into the first equation to get,

-3=x^2-5x+3

Simplify into a quadratic form (ax^2+bx+c=0),

x^2-5x+6=0

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

x^2+x(m+n)+mn=0

which then must factor into

(x+m)(x+n)=0

And the solutions will be m,n.

Clearly for small coefficients like ours 5,6, this is very easy to figure out. To get 5 and 6 we simply say that m=3, n=2.

This fits the definition as 5=3+2 and 6=2\cdot3.

So as mentioned, solutions will equal to m=3, n=2 but these are just x-values in the solution pairs of a form (x,y).

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are (2,0) and (3,0).

Hope this helps :)

5 0
2 years ago
The height h of a cylinder is 3 units lees than 4 times its radius r. Which expression represents the height of the cylinder in
frez [133]
Well it's 4 time the radius, so 4r
And it's 3 less than that, so
4r - 3 is the height
7 0
3 years ago
Solve the system of equations. Show ALL your work. Put your answer in the form of an ordered pair (x, y)
stiv31 [10]
This should be easy because we just have to use substitution method. Substitute the value of x from the second equation into the x of the first equation. 
                         -4(2y) + 11y = 15
                         -8y + 11y = 15
                                   3y = 15   ; y = 5
Substitute this value of y to either the first or second equation.
                                        x = 2(5) = 10
The ordered pair is therefore (10,5).
6 0
3 years ago
a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone
alina1380 [7]
We can write a system of equations:

1x + 10y = 182
x + y = 56

Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

1(-y + 56) + 10y = 182

-y + 56 + 10y = 182

Subtract 56 to both sides:

-y + 10y = 126

Combine like terms:

9y = 126

Divide 9 to both sides:

y = 14

Now we can plug this into any of the two equations to find the 'x' value.

x + y = 56

x + 14 = 56

Subtract 14 to both sides:

x = 42

So our final answer is (42, 14).

This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
7 0
3 years ago
Its a number answer...plz help me!​
gregori [183]

Answer:

tge answer is 36 mintutes. can i be brainelest?

Step-by-step explanation:

3 0
3 years ago
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