A regular octagon is inscribed inside a circle. The perimeter of the octagon is units. A: What is the measure of a side of the octagon? B: What is the measure of a central angle of the octagon? C: What is the approximate measure of the apothem of the octagon (to the nearest hundredth of a unit)? D: Using your answer to part C, what is the approximate area of the octagon (to the nearest whole )?

Answer:

The base of the regular pyramid is a square.

Step-by-step explanation:

Answer:

D. A formula

Step-by-step explanation:

If you look at an example of a theorem, let's try Pythagorean Theorem, you can see it is a formula used to find an angle of a triangle, especially a hypotenuse.

Answer: 3x - 9

Step-by-step explanation: "9 less than three times a number" does not mean 9 minus three times a number, less than actually switches the order around so that 9 less than three times a number actually means three times a number minus 1 which can be read as 3x - 9.

Answer:

x ≈ 2.3 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )

4 × cos55° = x , thus

x ≈ 2.3 cm ( to 1 dec. place )

Answer:

There are two answers, c=20.2 or c=1.0

Step-by-step explanation:

The value of c is 20.2 units

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that: a2 = b2 + c2 − 2bc·cosA. As stated above, the law of cosines in trigonometry generalizes the Pythagorean theorem.

The law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given i.e., it is used in the case of a SAS triangle. We know that if A, B, and C are the vertices of a triangle, then their opposite sides are represented by the small letters a, b, and c respectively. The law of cosines formula is used to:

find any angle of the triangle when a, b, and c are given.

There are three laws of cosines and we choose one of them to solve our problems depending on the available data.

As,

m∠A=15°, a=10, and b=11.

Now, using cosine rule

cos A = b² + c² - a²/ 2bc

cos 15 = 121+ c²-100/22c

0.96 = 121+ c²-100/22c

21.25 c = 21 + c²

21 + c² - 21.25 c=0

By solving the quadratic equation

c=20.2 units.

Learn more about cosine rule here:

https://brainly.com/question/17121410

#SPJ4

Answer:

12

Step-by-step explanation:

If you add the ratio you will get 8 and 1 in the ratio number represents

6 people so 5-3=2

Therefore, the no. of girls minus boys= 6×2=12

so you need 12 more boys to make it to be a ratio of 1:1

Answer: Kim - Resp after 24 months = $4,416.00

              Kim - Technology Fund after 24 months = $1,120.06

              Kim's Technology Fund has enough money to buy a laptop.

              Kim's Savings (Resp) will last less than 6 months

Step-by-step explanation for Kim:

January - June 2019

$14.50 + 30($0.25) = $22.00/hr

$22/hr x 15 hr x 4 wks x 6 months = $7920 Gross Income

Taxable Income is $7920 - $1188 = $6732    (Annual Income $13,464)

→ $7,920 -($1188 + $396 + $158.40 + $0 + $158.40) = $5,999.04 Net Income

Tech Fund (5%): $5999.04(0.05) = $299.95

Food Expense (30%): $5999.04(0.3) = $1,799.71

Clothing Expense (30%): $5999.04(0.3) = $1,799.71

Entertainment Expense (25%): $5999.04(0.25) = $1,499.76

Miscellaneous Expense (10%): $5999.04(0.1) = $599.90      

                                               Other Expenses: $5,699.08

July - December 2019 (excluding August)

$22/hr x 20 hr x 4 wks x 5 months + $200 = $6800 Gross Income

Taxable Income is $6800 - $1020 = $5780    (Annual Income $12,512)

→ $6,800 - ($1020 + $340 + $136 + $0 + $102.40) = $5,201.60 Net Income

Tech Fund (5%): $5201.60(0.05) = $260.08

Food Expense (30%): $5201.60(0.3) = $1,560.48

Clothing Expense (30%): $5201.60(0.3) = $1,560.48

Entertainment Expense (25%): $5201.60(0.25) = $1,300.40

Miscellaneous Expense (10%): $5201.60(0.1) = $520.16      

                                              Other Expenses: $4,941.52

January - June 2020

same as January - June 2019

July - December 2020 (excluding August)

same as July - December 2019

[tex]\boxed{\begin{array}{l|r|r|r|r||r}\underline{KIM}&\underline{Jan-Jun'19}&\underline{Jul-Dec'19}&\underline{Jan-Jun'20}&\underline{Jul-Dec'20}&\underline{Totals\quad }\\Gross&\$7920.00&\$6800.00&\$7920.00&\$6800.00&\$29440.00\\Resp&\$1188.00&\$1020.00&\$1188.00&\$1020.00&\$4416.00\\Net&\$5999.04&\$5201.60&\$5999.04&\$5201.60&\$22401.28\\Other&\$5699.08&\$4941.52&\$5699.08&\$4941.52&\$21281.20\\Tech&\$299.95&\$260.08&\$299.95&\$260.08&\$1120.06\end{array}}[/tex]

Answer:

[tex]f(x) = (x+1)^2 +2[/tex]

Step-by-step explanation:

Well you complete the square and get,

[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]

Then you use the binomial formula to get,

(x + 1)^2 + 2

Thus,

f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.

Hope this helps :)

Answer:

5 in^2

Step-by-step explanation:

The area of the sector will always be proportionate to the angle in the circle.

(The area of the sector / area of the circle) is equal to( the angle of the section divided by the angle of the circle)

The total degrees of a circle is 360

(area of the sector) = (60° / 360°) * 30 in^2

Answer:

hypotenuse

Step-by-step explanation:

hypotenuse.  The length of the hypotenuse is the distance between the two given points.

Answer:

hypotenuse

Step-by-step explanation:

Answer:

The answer would be zero. This is due to the fact that the tangent is a line on a point around the circle. These two circles share no common tangents.

Step-by-step explanation:

The number of the common tangent to the concentric circles is zero. Option D is correct.

Two concentric circles are given in the figure, and common tangents to the circles are to be determined.

The circle is the locus of a point whose distance from a fixed point is constant i.e center ( h, k ). The equation of the circle is given by[tex](x-h)^2 + (y-k)^ = r^2[/tex]. where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Since the line passes through the circumference of the circle is known as a tangent to the circle and the common tangent of the concentric circle is not possible because the tangent to the inner circle results secant to the outer circle.

Thus, the number of the common tangent to the circles is zero. Option D is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ5

Answer:

B C E

Step-by-step explanation:

A

P

E

X

Answer: 283 cm2

Step-by-step explanation:

The formula for finding the surface area of a cone is:

A=[tex]\pi r(r+\sqrt{h2+r2})[/tex] Where r is the radius and h is the height.

Replacing: [tex]\pi 5(5+\sqrt{(12)2+(5)2}[/tex]

Solving: 282,7 ≈ 283cm2

Answer:

bee

Step-by-step explanation:

its be because its true

Answer:

glide reflection

Step-by-step explanation:

I hope this helps

Answer:

Any number other than 2

Step-by-step explanation:

Well if we plug in any number other than 2 like 1  for the blank and distribute,

the right side becomes,

3x + 6 = 3x + a number other than 6

Parallel lines have the same slope but different y intercept.

Look at the image below ↓

Thus,

to make the equation have no solution the blank has to be any number other than 2.

Hope this helps :)

==================================================

Work Shown:

T(2) = 20 means the second term is 20

T(1) = 26 because we go backwards from what the rule says (subtract 6) to step back one term. Going forward, 26-6 = 20.

Since a = 26 is the first term and d = -6 is the common difference, the nth term is

T(n) = a + d*(n-1)

T(n) = 26 + (-6)(n-1)

T(n) = 26 - 6n + 6

T(n) = -6n + 32

Plugging n = 1 into the equation above leads to T(1) = 26. Using n = 2 leads to T(2) = 20.

Plug in n = 10 to find the tenth term

T(n) = -6n + 32

T(10) = -6(10) + 32

T(10) = -60+32

T(10) = -28

Answer:

-28.

Step-by-step explanation:

T(1) = 20 + 6 = 26.

This is an arithmetic series  with:

nth term T(n) =  26 - 6(n - 1).

So T(10) = 26 - 6(10-1)

= 26 -54

= -28.

Answer:

(C) $111.83

Step-by-step explanation:

If Sonya buys four pairs of shoes, each on a buy one get one 50% off, that means that we can find the value if she bought ONE deal of buy one get 50% off one, then multiply that by 2 (as if you do the deal, you are paying for two.)

The shoe costs $35, and if we have a 50% discount on it:

[tex]35\cdot0.5=17.5[/tex]

So the cost of the shoe ON DISCOUNT is 17.50, however the first pair still stays the same.

So the cost of two pairs of shoes using the discount is [tex]35+17.5 = 52.5[/tex]

So four pairs cost [tex]52.5\cdot2 = 105[/tex]

However, there is a tax of 6.5%

So we can multiply 105 by 1.065 to get the cost after tax.

[tex]105\cdot1.065=111.825[/tex]

This simplifies down to 111.83.

Hope this helped!

Answer:

The two equivalent expressions are 6(x − y) and 6x − 6y.

Step-by-step explanation:

The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes. That's the same as finding the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression.

Have a good day!<3

The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes then it will be as;

6(x-y)

Now, the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression will be;

6x - 6y

The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.

Learn more about expression here;

https://brainly.com/question/14083225

#SPJ2

Answer:

E=$19.307

Step-by-step explanation:

Total number of cards = 52

If you win then you will get $50

If you lose then you will give him $20

Therefore the probability

[tex]P(first\ card\ is\ face\ card)=\dfrac{12}{52}[/tex]

[tex]P(Second\ card\ is\ face\ card)=\dfrac{11}{51}[/tex]

[tex]P(Third\ card\ is\ face\ card)=\dfrac{10}{50}[/tex]

Thus the probability for all the three cards are face card

[tex]P=\dfrac{12}{52}\times \dfrac{11}{51}\times \dfrac{10}{50}[/tex]

P=0.0099

Thus the probability for all the three cards are not face card

P=1-0.0099=0.9901

P=0.9901

Therefore , expected value

[tex]E=20\times 0.9901-50\times 0.0099[/tex]

E=$19.307

Therefore the answer will be $19.307.

Answer:

The 8 square meters represent the product of the height by the width of the wall and therefore, its area.

Step-by-step explanation:

Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.

In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.

Answer:

For f(x)+2, it goes along the y axis, 2 units.

For f(x+2), it goes along the x axis, -2 untis.

Step-by-step explanation:

Answer: He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Step-by-step explanation:

Given, In the supermarket a loaf of bread costs 37p .

To find: How many loaves can David buy with a [tex]\pounds 2[/tex] coin?

Since [tex]\pounds 1=100\text{ pence}[/tex]

Then, [tex]\pounds 2=200\text{ pence}[/tex]

Number of loaves he can buy = (Amount he has) ÷ (Cost of a loaf of bread)

= 200 p ÷ 37 p

[tex]=5\dfrac{15}{37}[/tex]

i.e. he can buy 5 loaves of bread and 15 p will be left.

Hence, He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Answer:

1. x=40

2. x=15

3. x=197

4. x=39

Step-by-step explanation:

pythagorean theorem: a^2 + b^2 = c^2

c= hypotenuse

Answer:

1 is 40, 2 is 15, 3 is 197, and 4 is 89

Step-by-step explanation:

Answer:

The answer is A: x + 0

Step-by-step explanation:

I got it correct on Edge. Please give 5 stars and have a great day! :)

The translation of the x-coordinate is written as x⇒0 for the triangle ABC.

A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.

A coordinate system is a two-dimensional number line, such as two perpendicular axes. This is an example of a typical coordinate system: The horizontal axis is referred to as the x-axis, and the vertical axis is referred to as the y-axis.

Given that on a coordinate plane, triangle A B C has shifted 6 units up. The x translation for the triangle is zero.

The x-coordinate translation is written as,

x ⇒ 0

To know more about translation follow

https://brainly.com/question/1574635

#SPJ6

Answer:

The length of the other leg is 8.94 m.

Step-by-step explanation:

Given that,

Hypotenuse of a right triangle is 12 m

The length of the one of the legs of a right triangle is 8 m

We need to find the length of the other leg. It is based on the concept of Pythagoras theorem. Let the other leg is h. So, according to this theorem,

[tex]H^2=b^2+h^2[/tex]

H = hypotenuse = 12 m

b = base = 8 m

[tex]h^2=H^2-b^2\\\\h^2=12^2-8^2\\\\h=\sqrt{80}\\\\h=8.94\ m[/tex]

So, the length of the other leg is 8.94 m.

Answer:

1 neither

2 neither

3 neither

Step-by-step explanation:

Answer:

The resulting graph is [tex]y = 5\cdot \sin x[/tex].

Step-by-step explanation:

The resulting function is of the form:

[tex]y = A\cdot \sin x + k[/tex]

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]A[/tex] - Amplitude, dimensionless.

[tex]k[/tex] - Midpoint value, dimensionless.

The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: [tex]A > 0[/tex]. According to the graph, the function is bounded between 5 ([tex]y_{max}[/tex]) and -5 ([tex]y_{min}[/tex]), and the midpoint value ([tex]k[/tex]) is 0. The amplitude is determined by the following calculation:

[tex]A = \frac{y_{max}-y_{min}}{2}[/tex]

If [tex]y_{min} = -5[/tex] and [tex]y_{max} = 5[/tex], then:

[tex]A = 5[/tex]

The resulting graph is [tex]y = 5\cdot \sin x[/tex].

Answers for whole assignment:

(starting after this question)

2) graph 2

3) Minimum: -4

Maximum: 4

Amplitude: 4

zeros: 2nd and 3rd option

4) 2nd graph

5) range of y = sin(x)?

1st one

range of y = 3sin(x)?

2nd one

range of y = –3sin(x)?

2nd one  

range of y = –3sin(x) – 2?

3rd one

6) graph 1

7) graph 3

8) amplitude = 2

midline y = 4

3rd option

9) 2nd option

10) The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down.  The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1.  The maximum of y = –2sin(x) – 1  is 1, the minimum is –3, and the amplitude is 2.

Answer:

9*((2-1)/9)

or

2 -1

9

2-9 =-7

9. 9

9× -7

9

=-7

2- 3

9. -3

=(1.22222222222)

or

11/9

or

1*(2/9)

Answer:

x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis

Step-by-step explanation:

Answer:

C. x, x/2, x/4, x/8, ...

Step-by-step explanation:

I'm late but it's correct on edg, just did it myself. Hope it helps!