An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle

Step-by-step explanation:

We have

[tex](sc^2x-1)^2[/tex]

Which is the same as

[tex](sc^2x-1)(sc^2x-1)[/tex]

To expand this polynomial, we can use the FOIL method. Meaning that we multiply the Fronts, Outsides, Insides, and Lasts together and then add each of these products.

The two fronts are [tex]sc^2x[/tex] and [tex]sc^2x[/tex],

[tex](sc^2x )(sc^2x )=s^2c^4x^2[/tex]

The two Outsides are [tex]sc^2x[/tex] and [tex]-1[/tex],

[tex](sc^2x )(-1)=-sc^2x[/tex]

The two Insides are [tex]-1[/tex] and [tex]sc^2x[/tex],

[tex](-1)(sc^2x )=-sc^2x[/tex]

The two lasts are [tex]-1[/tex] and [tex]-1[/tex],

[tex](-1)(-1)=1[/tex]

Now we just need to add these together to get

[tex]s^2c^4x^2-sc^2x-sc^2x+1\\\\s^2c^4x^2-2sc^2x+1[/tex]

Answer:

[tex]cot^{4} x[/tex]

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160

the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216

the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152

Step-by-step explanation:

Answer:

First is 144

Second is 16

Third is 9

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

-2x + 6 + 4x = -12

-2x + 4x = -12 - 6

2x = -18 -----Divide -18 by 2

x = -9

Answer:

3 percent

Step-by-step explanation:

convert to seconds

960 seconds to 930 seconds

30 seconds ÷ 960=3 per cent

The percentage reduction in time is required.

The percentage reduction is [tex]3.125\%[/tex]

The initial value of time = 16 minutes

Final value of time = 15 minutes and 30 seconds = 15.5 minutes

Percentage reduction is given by

[tex]\dfrac{\text{Old value}-\text{New value}}{\text{Old value}}\times 100\\ =\dfrac{16-15.5}{16}\times100=3.125\%[/tex]

The percentage reduction is [tex]3.125\%[/tex]

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Answer:

11

Step-by-step explanation:

13×13 = 169

17 × 17 = 289

289 - 169 = 120

Square root of 120 is 10.95

Round answer to 11

Write the problem as an equation:

5n <65

Solve for n by dividing both sides by 5:

n <13

Because the inequality does not contain an equal sign, n (13) is not included in the answer so there would be an open circle on the number 13

The correct answer would be A.

Answer:

22.1 inches

Step-by-step explanation:

The shadow is formed at a specific factor of the original image hence if a 5 feet tall man casts a shadow rhat is 4 1/3 feet long then a  telephone pole casts a shadow that is 25.5 feet long must have a length

5 / 4 1/3 = x / 25.5

where x is the length of the pole

5 / 13/3 = x/ 25.5

15/13 = x/25.5

cross multiply

15 * x = 13 * 25.5

Divide both sides by 15

x = 13 * 25.5 / 15

x = 22.1 inches

The telephone pole in inches is 22.1 long

Answer:

≈ 7

Step-by-step explanation:

Answer:

12 weeks

Step-by-step explanation:

30 x 12 = 360

which equals 12 weeks in this case and 360 + 50 equals 410 the 50 came from the 50 he already had

I hope this helps!!

Answer:

B? I think itts B

Step-by-step explanation:

Answer:

what the FLIP

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Hope it will help :)

Answer:

x = 5

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

__________________________________________________________

[tex]4 \times 8^{2x+1} = 32^{x+2}[/tex]

Lets express it in terms of 2.

[tex]=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}[/tex]

[tex]=> 2^2 \times 2^{6x+3} = 2^{5x+10}[/tex]

[tex]=> 2^{2 + 6x+3} = 2^{5x+10}[/tex]

[tex]=> 2^{6x+5} = 2^{5x+10}[/tex]

Here the bases on both the sides are equal. Hence ,

[tex]=> 6x + 5 = 5x + 10[/tex]

[tex]=> 6x - 5x = 10 - 5[/tex]

[tex]=> x = 5[/tex]

Answer: THE ANSWER WOULD BE A. (-5, -18)

Notice how y=4x%2B2 is in slope-intercept form y=mx%2Bb where m is the slope and b is the y-intercept.

So this shows us that the slope is m=4 and the y-intercept is b=2 which is the point (0,2)

You can always plot an equation like this to find intercepts

and slope. Each point requires an x and a y. My

way is to make x+=+0 and find y,

then I make y+=+0 and find x

y+=+4x+%2B+2

y+=+4%2A0+%2B+2 solve for y

y+=+2

the point is (0,2)

then,

0+=+4x+%2B+2 solve for x

subtract 2 from both sides

4x+=+-2

x+=+-%281%2F2%29

the point is (-%281%2F2%29,0)  

Once you have any two points, you can draw the line by connecting them

When the equation is in the form

y+=+mx+%2B+b

m = slope

b = y-intercept

So, your equation y+=+4x+%2B+2

m+=+4 (slope)

b+=+2 (y-intercept)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  (

−

5

,

−

18

)

Equation Form:  x

=

−

5

,

y

=

−

18

Answer:

4. 3,4

5. 0,4

6. -8, -1

Hope that helps!

Step-by-step explanation:

Answer:

Multiply each term in −1/8y≤34 by −8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

−1/8y x −8 ≥ 34 x −8 Simplify −1/8y x −8

y ≥ 34 x −8

Multiply 34 by −8.

y≥−272

Step-by-step explanation:

Answer:

54

Step-by-step explanation: 36 * 6 = 216

216 divided by 4 = 54

Answer:

1<7

Step-by-step explanation:

Hey there!

1.) adjacent

2.) vertical

3.) corresponding

4.) none of these

5.) 1 and 7, 3 and 5, 2 and 8, 4 and 6

6.) 2 and 7, 6 and 3

Have a terrifcly amazing day!

Answer:

12(-3x + 2)

Step-by-step explanation:

-1/2 ( 32x - 40) - (20x - 4) = -16x + 20 - 20x + 4 = -36x + 24 = 6(-6x + 4) = 12(-3x + 2)

Answer:

Where is the rest of the question?

Step-by-step explanation:

40x +20

Answer:

x=y + 2

2

y=2(x - 1)

Step-by-step explanation:

y=2 x -2

swap sides so that all variable terms are on the left hand side

2x - 2 =y

add 2 to both sides

2x = + 2

Divide both sides by 2.

2 x = y + 2

2. 2

Dividing by 2 undoes the multiplication by 2.

x = y + 2

2

Divide y +2 by 2.

x = y + 1

2

Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.

For the given question;

The equation becomes;

16.95 d + 6.49 h

16.95 (1.5) + 6.49 (3)

  25.425 + 19.47

        44.895 < $50

Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.

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Answer:

a

=

4.8

Step-by-step explanation:

there

A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.

Speed is the time rate at which an object is moving along a path,

Given that car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.

We have to check whether the statement is true or false.

To check, we can use the formula:

distance = rate x time

Substituting the given values, we get:

distance = 60 x 4.5 = 270 miles

Therefore, the statement is true.

Hence, A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.

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Answer:

393 + 39√6

Step-by-step explanation:

√639 + (393)

Simplify

393 + 39√6 (Answer)

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Answer:

2+4+5 or 5+4+2 it functions in all the ways Simce it is sum XD

Answer:

The total comission on the sale was $375.

Step-by-step explanation:

Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:

Total comission=(10,000*5%)+(12,500-10000)*(3%)

Total comission=500+(2,500*3%)

Total comission=300+75

Total comission=375

According to this, the answer is that the total comission on the sale was $375.