Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?

Answer:

153.86 yd²

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex]

Area = 3.14 × 7 ×7

Area = 153.86 yd²

Answer:

153.86 yd²

Step-by-step explanation:

Answer:

Option (A).

Step-by-step explanation:

Given question is incomplete; find the complete question with the attachment.

In the triangle NRL,

Points P, S and M are the midpoints of the sides NR, RL and LN respectively.

Sides SM = (3x - 4), NR = (9x - 20)

By the theorem of midpoints in a triangle,

SM = [tex]\frac{1}{2}\text{NR}[/tex]

(3x - 4) = [tex]\frac{1}{2}(9x-20)[/tex]

6x - 8 = 9x - 20

9x - 6x = 20 - 8

3x = 12

x = 4

Therefore, Option (A) will be the answer.

The value of x is equal t 4

Data;

The midpoint of a line is half the distance of the line.

Since the length of the line is RN and midpoint of the line is SM.

[tex]SM = \frac{1}{2} RN[/tex]

Let's substitute the values into the equation

[tex]SM = \frac{1}{2} NR\\3x - 4 = \frac{1}{2}(9x- 20)\\ 3x - 4 = \frac{1}{2} (9x - 20)\\2(3x - 4) = 9x - 20\\6x - 8 = 9x - 20\\9x-6x = 20 - 8 \\3x = 12\\\frac{3x}{3} = \frac{12}{3} \\x = 4[/tex]

The value of x is equal t 4

Learn more on midpoint here;

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Answer:

38

Step-by-step explanation:

Answer:

Step-by-step explanation:

The side opposite to the biggest angle be longest side.

110 + 28  + ∠H= 180  { sum of all angles of triangle }

138 + ∠H = 180

∠H= 180 -138

∠H = 42°

Shortest side is opposite to 28°    =====> FH

Next shortest side is opposite  to  42°  =========> GF

The longest side is opposite to 110°   =======> GH

The answer is:

FH , GF , GH

Answer:

FH , GF , GH

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

Wednesday

Step-by-step explanation:

This System is called ratios. Let’s take Thursday for example. She has homework for one out of two of her classes. Wednesday she had nine homework’s for eleven of her homeworks

Step-by-step explanation:

answer in photos thanks

Answer:

[tex](x+4)^2+(y+6)^2=100[/tex]

Step-by-step explanation:

Given a circle centred at the point P(-4,-6) and passing through the point

R(2,2).

To find its equation, we follow these steps.

Step 1: Determine its radius, r using the distance formula

For point P(-4,-6) and R(2,2)

[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Radius=}\sqrt{(2-(-4))^2+(2-(-6))^2} \\=\sqrt{(2+4))^2+(2+6)^2}\\=\sqrt{6^2+8^2}\\=\sqrt{100}\\Radius=10[/tex]

Step 2: Determine the equation

The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: [tex](x-h)^2+(y-k)^2=r^2[/tex]

Centre,(h,k)=P(-4,-6)

r=10

Therefore, the equation of the circle is:

[tex](x-(-4))^2+(y-(-6))^2=10^2\\\\(x+4)^2+(y+6)^2=100[/tex]

Answer:

x≈47.4

Step-by-step explanation:

Use sine, since the triangle is a right triangle and doesn't have any special properties.

sin28=x/101

101*sin28=x

solving this, you get that x≈47.4.

Answer:

23 centimeters squared

Answer:

Step-by-step explanation:

4/5

Answer:

26

Step-by-step explanation:

→ Utilise Pythagoras theorem

a² + b² = c²

→ Substitute in the values

10² + 24² = c²

→ Simplify

100 + 576 = c²

→ Simplify further

676 = c²

→ Square root both sides to isolate c

26 = c

Answer: C. It is the graph of f(x) shrunk horizontally by a factor of 6.

Step-by-step explanation:

When we multiply a function’s input by a positive constant, we get a function whose graph is stretched or compressed horizontally in relation to the graph of the original function. If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function.

Answer:

4:5

Step-by-step explanation:

You start with the equation:

2(3/4m)=D+1/4m

Simplify it to solve:

5/4m=D

The ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5

"It is the comparison of two quantities of the same kind."

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

Let 'x' be the initial amount of milk Mia had and 'y' be the initial amount of milk Dante had.

After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia.

We write above statement inn equation form as,

[tex]2(\frac{3}{4} x)=(y+\frac{1}{4} x)[/tex]

We simplify above equation to find the ratio of the amount of milk Mia had to the amount of milk Dante had at first.

[tex]\Rightarrow 2(\frac{3}{4} x)=(y+\frac{1}{4} x)\\\\\Rightarrow \frac{6}{4}x- \frac{1}{4} x=y\\\\\Rightarrow \frac{5}{4}x=y\\\\ \Rightarrow \frac{x}{y} =\frac{4}{5}\\\\ \Rightarrow x:y=4:5[/tex]

Therefore, the ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5

Learn more about the ratio here:

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Answer:

Following are the concentric circle represent:

Step-by-step explanation:

Given values:

[tex]3x^2 + 3y^2 + 12x - 6y - 21 = 0\\5x^2 + 5y^2 - 10x + 40y - 75 = 0\\5x^2 + 5y^2 - 30x + 20y - 10 = 0\\4x^2 + 4y^2 + 16x - 8y - 308 = 0\\x^2 + y^2 -12x - 8y - 100 = 0\\2x^2 + 2y^2 - 8x + 12y - 40 = 0\\4x^2 + 4y^2 - 16x + 24y - 28 = 0\\3x^2 + 3y^2 - 18x + 12y - 81 = 0\\x^2 + y^2 - 2x + 8y -13 = 0\\x^2 + y^2 + 24x + 30y + 17 = 0\\[/tex]

Following are the concentric value:

[tex]\Rightarrow 3x^2 + 3y^2 + 12x - 6y - 21 = 0 \leftrightarrow 4x^2 + 4y^2 + 16x - 8y - 308 = 0 \\\\[/tex]

[tex]\Rightarrow 5x^2 + 5y^2 - 10x + 40y -75 = 0 \leftrightarrow x^2 + y^2 - 2x + 8y- 13 = 0\\\\[/tex]

[tex]\Rightarrow 5x^2 + 5y^2 - 30x + 20y - 10 = 0 \leftrightarrow 3x^2 + 3y^2 - 18x + 12y - 81 = 0 \\\\[/tex]

[tex]\Rightarrow 2x^2 + 2y^2 - 8x + 12y - 40 = 0 \leftrightarrow 4x^2 + 4y^2 - 16x + 24y - 28 = 0[/tex]

Answer:

3/2

Step-by-step explanation:

Answer:

Type in 2 / 3

Step-by-step explanation:

Take a look at the procedure below;

[tex]3y = 2x, Divide both sides by 3,\\y = 2 / 3x, Take Constant of Proportionality as slope ( y = ax, where a - slope )\\Solution; 2 / 3[/tex]

Answer: y < [tex]\frac{4}{7}[/tex]x + 2

Slope: [tex]\frac{4}{7}[/tex]

Y-intercept: 2

Answer:

6 unit

Step-by-step explanation:

2x2=4

soooo

3x2=6

Answer:

I think it would be 3.1

Step-by-step explanation:

I think

Answer:

(-3,1) is the answer.

Step-by-step explanation:

reflection-(-3,-1)

=(-3,1)

therefore the points on the x-axis stay on the x-axis. This is reflection about the y-axis 

The right answer is 60cm

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

60

Step-by-step explanation:

the square root of 225 = 15

squares have 4 sides

15 times 4 = 60

Answer:

-12°F o -11°F.

Step-by-step explanation:

We have two statements, which are the following:

- the temperature In Pittsburgh Is -13 ° F

- the temperature in Cleveland Is-10 ° F

Then they tell us, "the temperature in Chicago is higher than the temperature in Pittsburgh"

Which means that the statement that helps us is the first, which is the one that tells us about Pittsburgh, now, a higher number since it is a higher temperature, we know that when a number is negative, the higher the number is , actually the number is less, therefore the temperature should be at least -12 ° F or -11 ° F. That is, anyone with sense between the city's temperature ranges greater than -13.

Answer:

Option (3).

Step-by-step explanation:

Attached figure is the graph of a function,

f(x) = -[tex]\sqrt{-x}[/tex]

Since domain of any function is the set of all possible input values of the function,

Therefore, Domain of the function is,

Domain : x ≤ 0 Or (-∞, 0]

And range of the function is the set of all possible output values (y-values) of the function.

Therefore, Range of the function will be,

Range : y ≤ 0 Or (-∞, 0]

Therefore, Domain and range of this function is same.

Option (3) will be the answer.

Answer:

C.) The range and domain of the graph are the same.

Step-by-step explanation:

Answer:

-60

Step-by-step explanation:

Answer:

4/3 or 1 and 1/3

Step-by-step explanation:

4 * 1/3. You would do 4*1 over 3, which gives you 4/3.

Answer:

Step-by-step explanation:

a)  -2g

putting the value of g

-2[tex](\frac{3}{-1} )[/tex]

opening the brackets by multiplying

=[tex](\frac{-6}{1})[/tex]=-2g

b)f+3g

=[tex]\frac{-2}{4}+\frac{9}{-3}[/tex]

taking LCM AS 12

=[tex]\frac{-2*3}{4*3} +\frac{9*4}{-3*4}[/tex]

=-6/12-36/12

=-42/12

=-7/2

c)2f-4g

=[tex]2(\frac{-2}{4})-4(\frac{3}{-1} )[/tex]

=[tex]\frac{-4}{4}-\frac{12}{-1}[/tex]

=-1+12

=11

Answer:

a) Equation of the line    [tex]y +1 = \frac{5}{6} (x - 2)[/tex]

b) Equation of the line  y + 1 = 0.833 ( x-2)

Step-by-step explanation:

Explanation:-

Given points are ( 2,-1) and (8 ,4)

Slope of the line

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

                      [tex]m = \frac{4- (-1) }{8-2 } = \frac{5}{6}[/tex]

Point - slope form

                     y - y₁ = m ( x - x₁)

                     y - (-1) = 5 /6 ( x-2)

                   6 ( y +1) = 5 (x -2)

a) Equation of the line    [tex]y +1 = \frac{5}{6} (x - 2)[/tex]

b) Equation of the line  y + 1 = 0.833 ( x-2)

Answer:

cos 41°

Step-by-step explanation:

[tex] \sin 49 \degree = \cos(90 \degree - 49 \degree) = \cos41 \degree \\ \\ \huge {\boxed{\red{ \bold{ \therefore \: \sin 49 \degree }}= \purple{ \bold{\cos 41 \degree}}}}[/tex]

The trigonometry expression sin 49° is written in the form of cosine will be cos 41°.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The trigonometry expression is given below.

⇒ sin 49°

We know that sin (90 - A) = cos A. Then the expression is also written as,

⇒ sin 49°

⇒ sin (90° - 41°)

⇒ cos 41°

The trigonometry expression sin 49° is written in the form of cosine will be cos 41°.

More about the trigonometry link is given below.

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Answer:

A.

Step-by-step explanation:

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