A pair of shoes usually sells for $58. If the shoes are 40% off, and sales tax is 6%, what is the total price of the shoes, including tax?

9514 1404 393

Answer:

  11.9 cm

Step-by-step explanation:

Arc length is given by ...

  s = rθ . . . . . . θ is the central angle in radians

Your central angle is 85°, so is (85/180)π radians = 17/36π radians.

Then the arc length is ...

  s = (8 cm)(17/36π) ≈ 11.9 cm

The length of the 85° arc is about 11.9 cm.

Answer:

A

Step-by-step explanation:

Answer:

C. 15 seconds

Step-by-step explanation:

It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.

Answer:

226.7 cm³

Step-by-step explanation:

The cone volume formula is V = (1/3)(base area)(height).

Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³

Answer:

Two shapes are similar when they have the same shape while their sizes may be the same or different

Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor

All circles have the same shape and are defined by their center and radius

Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;

r × a = s

Where a = s/r, we get;

r × s/r = s

We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a

Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'

Step-by-step explanation:

Just did it! <3

Hope this helps!

Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

Answer:

Part A

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the given values we get;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the values gives;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore, we get;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

Answer: radius = 12, perimeter = 72

Step-by-step explanation:

We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.

so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6

long leg = 6√3

long leg = short leg √3

short leg = 6

hypotenuse (radius) = 2(short leg)

hypotenuse (radius) = 2(6)

hypotenuse (radius) = 12

The radius of hexagon ABCDEF = 12 inches

Perimeter = r (sides)

Perimeter = r (6)

Perimeter = 12 (6)

Perimeter = 72

The perimeter of hexagon ABCDEF = 72 inches

Answer:

200.96

Step-by-step explanation:

divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96

Answer:

RTS.

Step-by-step explanation:

This is an obtuse angle.

Step-by-step explanation:

so easy hahahahahah you are just a beginner

Answer:

38b = s

Step-by-step explanation:

38 students multiplied by the number of buses = the total number of students that can be carried by bus.

Please lmk if you have questions

Answer:

319in

Step-by-step explanation:

cut them by sections

3×14=42 is the top of the shape

then the middle rectangle, add 24 with 5, it's 29

8×29=232

then the last one which is the bottom right rectangle

9×5=45

after add 42+232+45 and that's your answer

The area of the Composite figure is 319 sq units.

A two-dimensional figure made up of basic two-dimensional shapes such as triangles, rectangles, circles, semicircles, etc

Given that a Composite figure with sides measurements

We will calculate the area by diving the figure in three rectangles  

Area of a rectangle = length * width

Therefore, 9*5 + 8*29 + 3*14 = 45 + 232 + 42 = 319 sq units

Hence, The area of the Composite figure is 319 sq units.

For more references on Composite figure, click;

https://brainly.com/question/27234680

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Answer:

15

Step-by-step explanation:

When you multiply 3 to 5 you get 15 it is basic math. Or you can count out 5 plus 5 plus 5 if you need too.

Answer:

-12y=5y-68     true for all X

Step-by-step explanation:

-3x4y=(4+5y)-72

simplify:

-3x4y=12y

simplify:

(4+5y)-72

remove parentheses:

4+5y-72

subtract the numbers:

4-72= -68

=5y-68

-12y=5y-68

Answer:

the answer would be 4

Step-by-step explanation:

−3(4y)=4+5y−72

−12y=4+5y+−72

−12y=(5y)+(4+−72)(Combine Like Terms)

−12y=5y+−68

−12y=5y−68

Step 2: Subtract 5y from both sides.

−12y−5y = 5y−68−5y

−17y= −68

Step 3: Divide both sides by -17.

−17y                    -68

------------       =   -----------

-17                        -17

y = 4

Answer: B. y = 6000(1.06)×

Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).

Answer:

90

Step-by-step explanation:

9*6=54

54*5= 270

270/3=90

Answer:

It would be A. x < 6

Step-by-step explanation:

The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it

Answer:

8,-6

Step-by-step explanation:

x^2 -6x +8 = 0

(x-4)(x-2)

Answer:

36,000 meters. 12km= 12,000m multiply by 3l of gas.

Step-by-step explanation:

The car will travel 36000 meters using 3 liters of gas as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".

Given, a car uses 1 liter of gas every 12 kilometers.

Therefore, using 3 liters of gas, the car will go

= 3 × 36 kilometers

= 36 kilometers

= 36000 meters

With 3 liters of gas, the car will travel 36000 meters.

Learn more about a linear equation here: https://brainly.com/question/18840245

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Answer:

C, after 1 year, it has 75 percent of its original value

Step-by-step explanation:

Answer:

f(x) = x^3 + 2x^2 + x + 2

Step-by-step explanation:

If -2 + i is a zero, then -2 - i must also be a zero.

These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).

(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.

Multiplying this result by the 3rd and last factor, (x + 2), we get

(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2

Check, using synthetic division.  What are the factors of x^3 + 2x^2 + x + 2?

-2   /   1    2    1    2  

              -2   -2   -2

     -----------------------

         1      0    -1    0                  Since the remainder is zero, we know that

                                                    (x + 2) is a factor and -2 is a root.

Answer:

332.999

Step-by-step explanation:

juice wrld

Using trigonometric identities, it is found that the value of the tangent of the angle is given by:

B. [tex]-\frac{\sqrt{15}}{7}[/tex]

The tangent of an angle is given by it's sine divided by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, we have that:

[tex]\cos{\theta} = -\frac{7}{8}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]

[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]

[tex]\sin^2{\theta} = \frac{15}{64}[/tex]

[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]

Since it is on the second quadrant, it is positive, hence:

[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]

Applying the tangent equation:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]

[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/22591162

Answer:

y = -2x^2 - 4x - 1

Step-by-step explanation:

We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).

Let's solve

ax^2 + bx + c = y

a(-2)^2 + b(-2) + c = -1

4a - 2b + c = -1

a(-1)^2 + b(-1) + c = 1

a - b + c = 1

a0^2 + b0 + c = -1

c = -1

we got c = -1 so we input it into the other 2

4a - 2b - 1 = -1

4a - 2b = 0

2a - b = 0

2a = b

a - b - 1 = 1

a - b = 2

a = b + 2

Let's input b = 2a

a = 2a + 2

-a = 2

a = -2

b = 2a = 2*(-2) = -4

c = -1

y = -2x^2 - 4x - 1

Answer:

15

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i did k12