Divide. Write each quotient in simplest form.

1 3/4 divided by 8 1/6 =

Answer:

Step-by-step explanation:

Given angle - 610°

Coterminal angle is an angle in the interval 0°- 360° added or subtracted to multiples of 360°:

Correct option is 1.

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

D. 0.8

STEP-BY-STEP EXPLANATION

\( \because \: x = \sin (\theta) \\ \\ \sin \theta = \frac{4}{5} \\ \\ \sin \theta = 0.8 \\ \\ \implies \: x = 0.8\)

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

The answer is,

\(y = 1.6\)

Answer:

Y = 1.6

Step-by-step explanation:

Y = 2 - 0.4

Y = 1.6

The geometric center of the graph under the function is 5/3

The equation of the function is given as:

f(x) = 3 - |x - 2|

The interval is given as:

x ∈ [0, 3]

The geometric center (gc) of the graph under the function is calculated using

gc = ∫x f(x) dx/∫f(x) dx

Substitute the known values in the above equation

gc = ∫x * (3 - |x - 2|) dx/∫3 - |x - 2| dx

Integrate the numerator and the denominator of the above equation

gc = [-1/6(x - 2)((2|x -2| - 9)x + 2|x - 2| - 18)]/[3x - 1/2[|x - 2|(x - 2)]]

Recall that the interval is given as x ∈ [0, 3]

Substitute the interval values in the above equation.

The equation is then simplified using a graphing calculator.

So, we have

gc = (65/6)/(13/2)

Express the quotient expression as a product

gc = (65/6) * (2/13)

Divide 65 by 13

gc = 5/6 * 2

Divide 2 by 6

gc = 5/3

Hence, the geometric center of the graph under the function is 5/3

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The total time for the trip is:

T =  3mi*( 3/2x).

Where x is the rate at which she comes home.

Remember the relation:

distance = rate*time.

We know that the distance is 3 miles (done twice).

First, the rate is 2x and then the rate is x, then the time it took the first half is:

t = 3mi/2x

And for the coming back:

t = 3mi/x

Then the total time for the trip is:

T =  3mi/2x +  3mi/x = 3mi( 1/2x + 1/x) = 3mi*( 3/2x).

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The total amount paid in the first month would be $32 for the minimum payment plus $9.20 for the interest, totaling $41.20.

If you have a credit card with an annual percentage rate (APR) of 30% and a minimum payment requirement of 8% of the balance, and you have a balance of $400 on the credit card, you decide to stop charging and pay it off by making the minimum monthly payment each month, here's how it would work:

The minimum monthly payment would be 8% of the balance, which is 0.08 x $400 = $32.

Each month, you would make a payment of $32 towards your credit card balance. However, keep in mind that the interest will continue to accrue on the remaining balance.

Since the APR is 30%, the monthly interest rate would be 30% / 12 = 2.5%.

To calculate the interest charged each month, you multiply the remaining balance by the monthly interest rate. For example, after the first payment, the remaining balance is $400 - $32 = $368. The interest charged for that month would be 2.5% x $368 = $9.20.

Therefore, the total amount paid in the first month would be $32 for the minimum payment plus $9.20 for the interest, totaling $41.20.

Each month, you would continue making the minimum payment, and the interest charged would be based on the remaining balance. The process would continue until the balance is paid off in full.

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Answer:

\( \frac{x - 3}{x} \)

Step-by-step explanation:

\(f(x) = \frac{1}{x} \: \: g(x) = x - 3 \\ \\ \implies \: (f•g)(x) = \frac{1}{x} (x - 3) \\ \\ = \frac{x - 3}{x} \)

Answer:

1/2 = 4/8 so  7/8- 4/8 = 3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

find greatest common factor wich will be 8, u need to multiply 2 by another number to get the denominator of 8

8÷2=4 so 2×4=8

multiply 1/2 by 4 to get a denominator of 8 and numerator of 4

now u have 7/8 -4/8 =3/8

The difference between the area of Figure A and the areas of Figure B is 2 ft².

The difference between the area of the two figures, Figure A and  Figure B is determined by finding the area of the two figures.

The area of Figure A is found as follows:

The area of A = 3 × 4

The area of A = 12 ft²

The area of B = ½ × 4 × 3 + ½ × 4 × 2

The area of B = 10 ft²

Difference between the area of A and B = 12 - 10 ft²

Difference between the area of A and B = 2 ft²

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Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

y = 1/4x + 1 is parallel to line a

-4x + y = -8 is neither parallel nor perpendicular to line a

4x + y = -3 is perpendicular to line a

From the question, we are to determine how the given equations compare to line a.

From the given information,

Line a is -x + 4y = 32

First, we will determine the slope of line a

To do this, we will compare the equation to the slope-intercept form of a line

The slope-intercept form of a line is

y = mx + b
Where m is the slope

and b is the y-intercept

Writing -x + 4y = 32 in the slope-intercept form

-x + 4y = 32

4y = x + 32

Divide through by

y = 1/4 x + 8

By comparison, the slope of line a is 1/4

NOTE: If two lines are parallel, their slopes will be equal

and

If two lines are perpendicular, their slopes will be the negative reciprocal of each other

Now, we will determine the slopes of each of the lines

For y = 1/4x + 1

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 1/4

Thus, the line is parallel to line a

For -4x+y=-8

Rewrite in the slope-intercept form of a line

-4x + y = -8

y = 4x - 8

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 4

4 is not equal to 1/4 and 4 is not the negative reciprocal of 1/4.

Thus, the line is neither parallel nor perpendicular to line a.

For 4x+y=-3

Rewrite in the slope-intercept form of a line

4x + y = -3

y = -4x - 3

By comparing with the slope-intercept of a line, y = mx + b

The slope of the line is -4

-4 is the negative reciprocal of 1/4.

Thus, the line is perpendicular to line a.

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Answer:

y=7x-75

Step-by-step explanation:

use poiint slope formula

Answer:

What do we have to do in this? Find x? Let me know I'll explain it in the comment section

Answer:

First one: 16 units^2

Second One: 15 units^2

Step-by-step explanation:

First One:

A=\(\frac{1}{2} (2)(4)(4)=16 units^2\)

Second One:

\(\frac{1}{2} (2)(5)(3)=15 units^2\)

y-intercept(s): (0,−2)

Answer:

2

Step-by-step explanation:

The \(x^{2}\) and x terms are made to follow the sequence:

\([a-b]^{2} =a^{2} -2ab + b^{2}\)

Therefore the \(b^{2}\) term has to be added to complete the \([a -b]^{2}\) sequence, but at the same time the \(b^{2}\) term has to be balanced as it is not originally present in the equation:

\(y = x^{2} - 3x + 2 = [(x)^{2} - 2(x)(\frac{3}{2}) + (\frac{3}{2})^{2}] + 2 - (\frac{3}{2})^{2}\)

  \(= [x - \frac{3}{2}]^{2} + 2 - \frac{9}{4}\)

  = \([x - \frac{3}{2}]^{2} + \frac{8}{4} - \frac{9}{4}\)

  = \([x- \frac{3}{2}]^{2} \frac{+ 8-9}{4}\)

  = \([x-\frac{3}{2}]^{2} -\frac{1}{4}\)

y-intercept is the y-value obtained when x = 0 in the equation:

\(= [0 - \frac{3}{2}]^{2} -\frac{1}{4}\)

= \((-\frac{3}{2})^{2} -\frac{1}{4}\)

= \(\frac{9}{4} - \frac{1}{4}\)

= \(\frac{8}{4}\)

= 2

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

28.1667 ft

Step-by-step explanation:

there are 12 inches in a foot so jsut divide 338 by 12

Answer:

the answer is in the picture below :3

Answer: C. Trapazoid.

Step-by-step explanation:

Answer:

4( x+6) (x-1)

Step-by-step explanation:

4x^2+20x-24

Factor out the greatest common factor

4(x^2 +5x-6)

What 2 numbers multiply to -6 and add to 5

6*-1 = -6

6+-1 = 5

4( x+6) (x-1)

Answer:

\(4(x-1)(x+6)\)

Step-by-step explanation:

→Take out the GCF (Greatest Common Factor), which is 4:

\(4x^2+20x-24\)

\(4(x^2+5x-6)\)

→Split the middle term into two numbers that can be added to get 5 and multiplied to get 6:

\(4(x-1)(x+6)\)

The ratio that would be used to find the value of the side of the rectangle, is: A. 2.1/6.3 = 8.7/x.

Similar rectangles are rectangles that have corresponding sides that have the same ratio and are proportional to each other.

Given that the two rectangles are similar, the ratio of their corresponding sides would be equal.

Therefore, if we make x to represent the missing side of the rectangle, we would have the following ratio:

2.1/6.3 = 8.7/x

Therefore, the ratio that would be used to find the value of the side of the rectangle, is: A. 2.1/6.3 = 8.7/x.

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Answer:

Step-by-step explanation:

your home schooled me too

5/9

you can use a common denominator of 36, and multiply the numerators of each fraction by whatever number the denominator had to be multiplied by to get to 36

14/36+15/36-9/36

then you add and subtract

20/36=

5/9

A contradiction in the given clues and it is not possible to find a valid code with the given information.

The code to open the treasure chest can be determined using a few simple steps.
Firstly, we know that the last digit is half of 18, which is 9.

This means that the code ends with the number 9.
Next, we are given the information that the sum of the two middle digits is 10.

This tells us that the two middle digits must be 4 and 6, as they add up to 10.
Thirdly, we know that the third and fourth digits are the same.

Since we already know that the last digit is 9, this means that the third digit must also be 9.
Finally, we are told that the first digit is double the second digit.

Since we know that the second digit is 4, we can determine that the first digit must be 8.
Therefore, the code to open the treasure chest is 8469.

Mr Brainiac can now use this code to unlock the chest and discover the treasures inside.
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b would equal  48

_________________

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°