The apothem of a regular hexagon measures 8 cm. a regular hexagon has an apothem with a length of 8 centimeters. which are true of the regular hexagon? check all that apply. the perimeter of the hexagon is 48 cm. the measure of the angle formed by the radius and the apothem is 30°. the side length of the hexagon is about 4.6 cm. in a regular hexagon, the radius and side length are equal in length. the area of the hexagon is about 221.7 square cm.

The given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex]price is $7 option first is correct.

A quadratic expression is a second-degree algebraic expression represented by the:

[tex]\rm ax^2+bx+c=0[/tex] ........(1)

Where a, b, and c are the constants and  

We have a quadratic expression:

[tex]\rm f(x)=-2x^2+28x+20[/tex]

Convert it to perfect square by perfect square trinomial:

[tex]\rm f(x)=-2(x^2+14x)+20[/tex]  

[tex]\rm f(x)=-2(x^2+14x+49-49)+20[/tex]   (adding and subtracting by 49)

[tex]\rm f(x)=-2(x-7)^2+2(49)+20[/tex]

[tex]\rm f(x)=-2(x-7)^2+118[/tex]

Here [tex]\rm (x-7)^2[/tex] is the positive term and -2 is the negative term so in order to get the highest weekly profit it should be zero, so

[tex]\rm -2(x-7)^2=0[/tex]

x = $7

Thus, the given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex]  and the price is $7.

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Answer:

First option A.  −2(x − 7)^2 + 118; x = $7

Step-by-step explanation:

Took the test and it's correct, trust me :)

Answer: 6.5 is the answer.

Step-by-step explanation:

The shape is not normal since the sample size (6) is less than 30.

The mean and standard deviation of the sample distribution is 39, and 0.82 repectively

The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.

Given that

n = 6, mean = 39 and standard deviation o = 2.

Hence:

The shape is not normal since the sample size (6) is less than 30.

The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82

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Answer:

see explanation

Step-by-step explanation:

using the sine ratio in the right triangle.

sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex] ( multiply both sides by 7 )

7 × sin23° = x , then

x ≈ 2.7 ( to the nearest tenth )

----------------------------------------------------

using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{27}{17}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{27}{17}[/tex] ) ≈ 57.8° ( to the nearest tenth )

Answer:

x = -6 and x = 1

Step-by-step explanation:

For the fraction to be undefined, find the zeros of the polynomial of the denominator.

sin U= |TS| / |US|

-> |US| = |TS| / sinU

-> x= 0.6 / sin 37°

-> x≈1,0

Answer:

the surface area of the prism is equal to 202 m^2

Step-by-step explanation:

The surface area of the prism is equal to

SA=2B+Ph

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

Find the area of the base B

B=LW=4*5=20m^2

Find the perimeter of the base P

P = 2(L+W) = 2 (4+5) = 18 m

Find the surface area ----> 

SA = 2B + Ph = 2(20) + 18(9) = 202 m^2

btw m^2 is stand for square meter, also called the meter squared! (just if ur wondering)

Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 100 - 1 = 99 df, is t = 2.6259.

The other parameters have values given by:

[tex]\overline{x} = 82.4, s = 12.6, n = 100[/tex].

We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1[/tex]

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7[/tex]

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Answer:

according to my calculations syour mada

Answer:

Step-by-step explanation:

2.25m + 2(2.25m) + 90 cm =

2.25m + 4.50m + 90 cm

6.75m + 90 cm

1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m

6.75m + 0.9m = 7.65m <===

2.25m + 2(2.25m) + 90 cm =

2.25m + 4.50m + 90 cm

6.75m + 90 cm

1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m

6.75m + 0.9m = 7.65m

OR../=-

1m = 100 cm....so 7.65m = 7.65 * 100 = 765 cm

A=πr²

where

π -> pi (3.14...)

r - radius

r² means you multiply r times itself

Hope it helps!

Answer:

2.4 pounds

Step-by-step explanation:

12/5=2.4

To get 5 equal parts of 12, you have to do 12 divided by 5.

Answer:

10.5 ft

Step-by-step explanation:

This problem is using scaling.

Basically:

2.5(RV) = WZ

Meaning our scale factor is 2.5.

Multiply 4.2 * 2.5

Your answer is 10.5 ft.

Using the normal distribution, it is found that there is a 16% probability that a randomly selected score is greater than 590.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 510[/tex] and [tex]\sigma = 80[/tex].

The probability that a randomly selected score is greater than 590 is one subtracted by the p-value of Z when X = 590, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{590 - 510}{80}[/tex]

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16.

0.16 = 16% probability that a randomly selected score is greater than 590.

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Answer:

y = 1566.67x + 1716.67

is the actual answer..

The linear equation that can be used to approximate the data distribution is y = 1566.67x + 1716.67.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given two points on the line.

(0.5, 2500) and (3.5, 7200)

Slope intercept form of a linear equation is y = mx + c, where m is the slope and c is the y intercept.

Slope = (7200 - 2500) / (3.5 - 0.5)

          = 4700 / 3

          = 1566.67

So the equation is, y = 1566.67x + c

Substitute the point (0.5, 2500) to the equation.

2500 = (1566.67 × 0.5) + c

c = 1716.67

So the equation is, y = 1566.67x + 1716.67

Hence the required equation is y = 1566.67x + 1716.67.

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#SPJ2

Answer:

x + y = 59

x = 8 + y

Step-by-step explanation:

Joey: x hours

Chandler: y hours

total hours is sum of both:

x+y = 59

Joey (x) worked 8 more hours than chandler (y)

x = 8 + y

Answer:

96.7%

Step-by-step explanation:

87/90 = 0.96666666

To make this number a percentage, we move the decimal point two places to the right. Her grade would be 96.6666 percent, which rounds up to 96.7%

Answer:

96.7%

Step-by-step explanation:

87÷90×100

Answer:

Step-by-step explanation:

Step-by-step explanation:

1)

[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]

[tex] \frac{x }{1} = \frac{10}{2} [/tex]

[tex]x = 5[/tex]

In right Angles traingle

By using Pythagoras theorm

we get

x²+y²=10²

25+y²=100

y²=75

y=5√3

x=5,y=5√3

2)

Area of equilateral traingle =

[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]

required area

[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]

[tex] \frac{36 \sqrt{3} }{4} [/tex]

[tex]9 \sqrt{3} [/tex]

Answer:

204, there is no remainder.

Step-by-step explanation:

Answer: 204 Rem 2

Step-by-step explanation: Use long division

From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.

A linear function is modeled by:

y = mx + b

In which:

In this problem, when x increases by 20, y decays by 6, hence the slope is given by:

[tex]m = -\frac{6}{20} = -0.3[/tex]

Then:

y = -0.3x + b.

When x = -54, y = 12, hence:

y = -0.3x + b

12 = -0.3(-54) + b.

b = -4.2.

Thus, the equation is:

y = -0.3x - 4.2.

The x-intercept is the value of x when y = 0, hence:

-0.3x - 4.2 = 0.

x = -4.2/0.3

x = -14

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Answer:

Step-by-step explanation:

rate plsss

Answer:

14visists

Step-by-step explanation:

206 points= 45points + 11.5points(number of visits)

let number of visits=x

206points-45points=11.5x

161=11.5x

x=161/11.5

x=14 visits

Answer:

y = cos 2/3 x

Step-by-step explanation:

Answer:

Trapezoid

Explanation:

A trapezoid does not have two pairs of parallel sides.

Answer: D. Trapezoid

Step-by-step explanation:

Answer:

14.3 Cm

Step-by-step explanation:

Step 1: A^2+B^2=C^2

Step 2: 3^2+14^2=C^2

Step 3: 9+196=C^2

Step 4: 205=C^2

Step 5: 14.3=C