solve using comparison method.
a. 2x + 3y = 17 and 3y = 15 - x​

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The length of the radius, r, is 21 cm. The correct answer is **c. 21 cm**.

Here's why:

- The circumference of a circle is calculated by the formula C = 2πr, where C is the circumference and r is the radius.

- We are given that the circumference of circle O is 42π.

Substituting the given value into the formula:

42π = 2πr

Dividing both sides by 2π:

r = 42π / 2π

Simplifying:

r = 21

Therefore, the length of the radius, r, is 21 cm.

Options a, b, and d are incorrect because they either involve taking the square root of the circumference directly (invalid formula for radius) or miscalculating the result of the division.

Answer: The radius of the circle is 7.75 m (approximately)

Step-by-step explanation: The area of a sector is determined as follows;

Area of sector = (∅/360) x πr²

The area has been given as 10π, and the angle subtended by the sector has been given as 60. Substituting for known values we now have;

10π = (60/360) x πr²

10π = (1/6) x πr²

By cross multiplication we now have;

(10π/π) x 6 = r²

10 x 6 = r²

60 = r²

Add the square root sign to both sides of the equation

√60 = √r²

7.7459 = r

The radius of the circle is approximately 7.75 meters

Answer: y=4x

Step-by-step explanation: 2 times 4 is 8, 3 times 4 is 12, etc.

Answer:

y= kx

k= y/x = 8/2= 4

Therefore, k= 4

12 pounds

Step-by-step explanation:

New Weigh = 132 + 60 =192 ounces

(New Weigh = Old Weigh + Weigh gained)

Since 1 pound = 16 ounces

New Weigh = 192 ÷ 16 = 12 pounds

therefore New

Answer: 12 pounds!

Step-by-step explanation:

I hope it helps!

Good luck!

Answer:

$340.54 flooring

$116.21 paint

$107.73 trim

=$564.48

Step-by-step explanation:

the living room is 2418ft^3

area is 201.5ft^2

perimeter is 57ft

Answer:the answer is 6

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

5/4 = 1.25

1.25 / 4 = 0.3125 (this step separated the whole thing into quarters)

[tex]\frac{0.3125}{10000}=\frac{5}{16}[/tex]

Tony should use 5/16 of the salt.

Answer:

3 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 1/4. 3.5

1.1

Answer: 1 1/2 yards of yarn

Step-by-step explanation: For this problem, we will simply be multiply 1/2 yard by 3 to get the amount of yard that Ahlam will need.

1/2 x 3/1 = 3/2 or 1 1/2 yards of yarn. Basically you multiply the top of the fractions first (1 x 3) = 3 Then, you multiply the bottom of the fractions second  (2 x 1) = 2    (3/2 or 1 1/2)

Answer:

1.5 yards

Step-by-step explanation:

Salma: ½ yard

Ahlam: 3 × ½ = 1.5

Answer: the tan. Of 60 is .3200

The cos. Of 45 is .5253

Hope this helps :)

Step-by-step explanation:

Answer:

[tex] \sqrt{ \frac{3}{2} } [/tex]

Step-by-step explanation:

[tex] \tan(60) \cos(45) = \sqrt{3} \times \frac{1}{ \sqrt{2} } [/tex]

[tex] = \sqrt{ \frac{3}{2} } \: [/tex]

Answer:

undefined.  

Step-by-step explanation:

so there is a point at the origin, and from there there are two rays coming off it.  One goes along the positive x axis, so it goes straight right, then the other goes through point (0,1).  That point is right above the origin.  So it makes an l shape.  what sort of polygon could you fit into the corner of an L?  Well, a square or rectangle, and the corners of a square and rectangle are all 90 degrees is theta.

Now it wants tan of 90 degrees.  tangent is sine divided by cosine, so let's find those.

sine of 90 is the y value on the unit circle at 90 degrees.  Since the unit circle has a radius of 1 then when it points straight up or down the y value is either 1 or -1 respectively.  Similarly cosine is 1 when pointing to the right, at 0 degrees or 360 degrees, and -1 at 180 degrees.  For sine straight up is of course 90 degrees and down is 270 degrees.

Now, sine of 90 is 1 and cosine of 90 is therefore 0.  so now we want sine divided by cosine.  this is 1/0.  Well you can't divide by 0, so it is undefined.  

Answer:

the answer is D undefined

Step-by-step explanation:

took the test on edg.

Answer:

https://brainly.com/question/8182874

Step-by-step explanation:

Answer:

Area: 5π/2 in²

Perimeter: (3π+2) in

step-by-step explanation:

Area =

larger semicircle + small semicircle

= ½(pi × r1²) + ½(pi × r2²)

r1 = 2 in

r2 = 2/2 = 1 in

Area:

½(pi × 2²) + ½(pi × 1²)

= 2pi + ½pi

= 5pi/2 in²

Perimeter:

½(2pi × r1) + ½(2pi × r2) + r1

½(2pi × 2) + ½(2pi × 1) + 2

2pi + pi + 2

3pi + 2

Answer:

y = - [tex]\frac{1}{4}[/tex] x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

m = [tex]\frac{-4+3}{4-0}[/tex] = - [tex]\frac{1}{4}[/tex]

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - [tex]\frac{1}{4}[/tex] x - 3 ← equation of line

Answer:

  see below (first table shown)

Step-by-step explanation:

All of the frequency tables have the same numbers in the first and last categories, so choosing the correct table can be done by counting instances in any of the middle three categories.

We note there are 5 who biked to school, so the first table is indicated as being correct.

_____

If you complete a frequency table, you find that it matches the first table shown.

Answer:

327/28 or 11 19/28

Step-by-step explanation:

Get common denominator, convert into improper fraction and subtract.

The solution of expression [tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex] after subtraction would be, [tex]11\dfrac{19}{28}[/tex]

Given that,

The fractions to subtract,

[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]

Used the subtraction method to find the subtraction of expression.

Here, The fractions to subtract,

[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]

Change the mixed fraction into an improper fraction,

[tex]\dfrac{115}{7} - \dfrac{19}{4}[/tex]

Take LCMof 7 and 4 = 28

Now, make the denominator the same by taking LCM,

[tex]\dfrac{460}{28} - \dfrac{133}{28}[/tex]

[tex]\dfrac{460- 133}{28}[/tex]

[tex]\dfrac{327}{28}[/tex]

So, the solution of fraction after subtraction,

[tex]11\dfrac{19}{28}[/tex]

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Answer:

The answer is 11%

Step-by-step explanation:

Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish. Veronica surveyed her classmates about which types of pets they own. The graph shows her data. so that make it 11% Make me brain-list Please

Answer:it is 11%

Step-by-step explanation: just t r u s t me

and it makes sense

To prove the converse of the Pythagorean theorem, it must be assumed that the Pythagorean theorem is true. This assumption is fundamental to the proof. Option A is correct answer.

The proof of the converse of the Pythagorean theorem.

To prove the converse of the Pythagorean theorem, it is important to start by assuming that the Pythagorean theorem itself holds true.

Therefore, option A is the correct answer: It must be assumed that the Pythagorean theorem is true.

This fundamental assumption is crucial since the converse states that if the sum of the squares of two sides of a triangle is equal to the square of the third side, then the triangle is a right triangle.

This is a direct implication assuming the Pythagorean theorem's validity.

An essential part of a mathematical proof, especially in geometry, involves using established theorems and logical deductions.

It's also worth mentioning Euclid's proposition that states, "Any two sides of a triangle are together greater than the third side." While this proposition is relevant to the properties of triangles, it is not a component of the proof for the converse of the Pythagorean theorem.

Answer:

The most reasonable is 2 h

Step-by-step explanation:

If you see the graph is decreasing in hours while is increasing in years. When a person is 45 years the amount of daily physical activity is 3 hours, so a person that is 50 years needs to do less than 3 hours a day and the only option less than 3 hours is 2 hours.

Ben- unit price is 10.95

7 games= 76.65

Roberto- unit price is 6.57

7 games=  45.99

The unit price of a video game at Ben's Game World is $10.95, and 7 games would cost $76.65. Video games at Roberto's Electronics would cost $6.57 per game after applying the discount, with 7 games totaling $45.99.

The student has asked for help with finding the unit price of video games in a sale at Ben's Game World and comparing this to the cost of video games at Roberto's Electronics. We are given that Ben is selling a pack of 4 video games for $43.80. To find the unit price, we divide the total cost by the number of games.

Answer:

The first one is a right triangle.  The second one is C. (13,9)

Step-by-step explanation:

For each ordered pair, go over first, then up.  For the first question, if all points are plotted, it makes a right triangle.

With the second question, the point must be the same distance from Q as P is already.  That's 3 lines over and 7 lines up and down.  It could stay at (__,9), so 3 spaces over is (13,9).  

Answer:

(2,4) and (5,1) --> negative slope

(6,-3) and (-6, -3) --> zero slope

(3,5) and (-1,2) --> positive slope

(-7,8) and (-7,0) --> undefined slope

Step-by-step explanation:

To find the slope of a function, we use the formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{rise}{run}[/tex] (rise/run)

1. [tex]m=\frac{1-4}{5-2} =-1[/tex] (negative slope)

2. [tex]m = \frac{-3--3}{-4-6} =0[/tex] (zero slope)

3. [tex]m = \frac{2-5}{-1-3} =\frac{3}{4} =0.75[/tex] (positive slope)

4. [tex]m=\frac{-7-8}{-7--7} =\frac{-15}{0} = ?[/tex] (undefined slope)

Answer:

23 degrees

Step-by-step explanation:

62+95=157

180-157=23

Answer: The answer is 23 degrees. (Friend me and vote me brainliest)

Step-by-step explanation: A triangle is always equal to 180 degrees. So when they gave you both sides of the triangle, you add them up and subtract your sum from 180.

in general:

if delta>0 the equation has 2 solutions

if delta=0 the equation has 1 solution

if delta<0 the equation doesn't have real solutions

here :

delta=-4n

if n>0=> delta<0 => c) never

Answer:

Step-by-step explanation:

P(t)= 40*1.9^t/3

A function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) =[tex]40 + 12t[/tex] (in t weeks).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The number of people who received letters three weeks later:

= [tex]40 + \frac{9}{10} \times40[/tex]

= [tex]76[/tex]

The number of people who received letters one week later:

= [tex]40+(\frac{9}{10} \div3)\times40[/tex]

= [tex]52[/tex]

The number of people who received letters t week later:

= [tex]40+(\frac{9}{10} \div3).t\times40[/tex]

= [tex]40 + 12t[/tex]

So, a function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) = [tex]40 + 12t[/tex] (in t weeks).

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Answer:

27.6°

Step-by-step explanation:

Drop a Perpendicular from C to AD, call the foot X

CXD is a right angle triangle

CX = 6 cm

XD = 23 - 9 - [sqrt(6.5² - 6²)]

XD = 11.5

Tan(Angle CDA) = CX/XD = 6/11.5

Angle CDA = 27.55281158

Answer:

The answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The right answer is 28 cm

look at the attached picture⤴

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Look at the attached picture⤴

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Answer:

  1413.7 ft^3

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr^2·h

After emptying part of container A into container B, the empty space in container A will be exactly the volume of container B:

  V = π(5 ft)^2·(18 ft) ≈ 1413.7 ft^3