what is the circumference of a circle with a diameter of 13 inches? round to the nearest hundredth.

siti = x

Janice = 35.50$

Janice = 10.35 + x = 35.50

x = 35.50 - 10.35

x = 25.15

Siti = 25.15$

Amiya = y

Amiya = y - 12.80 = 25.15

y = 25.15 - 12.80

y = 13.25$

The rational root of the function  f(x) = x³ - 3x² + 2 is - 1.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.

Now, The roots of the function is when f(a) = 0.

The last term is, 2, Hence the roots must be,

± 1, ± 2, The factors of 2.

f(-1) = - 2.

f(1) = 0.

f(-2) = - 18.

f(2) = - 2.

So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.

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Answer:

41

Step-by-step explanation:

Simply substitute 12 to the x:

f(12)=2(12)+17

f(12)=24+17

f(12)=41

Answer:

9.103

10. 77

11.60

12. 6.4

13. 20

14. 36

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

180 - (47 + 30) = 103

DEG = 180 - 103 = 77 angles on a straight line equals 180

An equilateral triangle has all 3 sides equal

if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

5² + 4² = 41

squareroot of 41 = 6.4

b : √(25² - 15²) = 20

√(60² - 48²) = 36

From 2 to 101 , the perfect square numbers are ,

Total number of possible outcomes = 100.

Total number of favourable outcomes = 9 .

Hence ,

→ P ( of getting perfect square ) = 9/100

Answer:

1. 210KM

2. 5.5 HOURS

3. 110KPH

4. 1.5HOURS

5. 336KM

6. 80KPH

7. 96KPH

8. 153.8KM

9. 40KPH

10. 45KM

Step-by-step explanation:

TIME = DISTANCE/SPEED

DISTANCE = SPEED × TIME

SPEED= DISTANCE/TIME

Answer:

ratio=AC/FD=AB/ED=BC/FE

Step-by-step explanation:

43-7= 36

Range is highest number minus smallest number

Answer:

25.6667

Step-by-step explanation:

Divide the length value by 3.

77 divided 3 =

25.6667

Answer:

Step-by-step explanation:

25.66 SQM

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; [tex]t_L[/tex] = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; [tex]t_L[/tex]

i.e

g = G + Y + AR - [tex]t_L[/tex]

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

[tex] \huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Total land area of Rhode Island is :

[tex] \longmapsto\mathrm{1045 \: \: mi {}^{2} }[/tex]

And from the above pie chart, we can conclude that Kent County comprises 16% of total land area of Rhode Island, that is :

[tex]\longrightarrow \dfrac{16}{100} \times 1045[/tex]

[tex]\longrightarrow \dfrac{16720}{100} [/tex]

[tex]\longrightarrow167.2 \: \: mi {}^{2} [/tex]

Therefore, Total land area of Kent County :

[tex] \boxed{ \large{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 167.2 \: \: \: mi {}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

70.69

Step-by-step explanation:

Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]

Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]

Area = 70.68583471

Area = 70.69

Answer:

58

Step-by-step explanation:

The median in a box plot is the line in the middle of the box

The median is 58

Answer:

58

Step-by-step explanation:

The median in a box plot is the line in the middle of the box

The median is 58

Answer:

X < 120

Step-by-step explanation:

.....................

Answer:

option D

Step-by-step explanation:

X should be less than or equal to $120.00

Answers:

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

The given info is:

From that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.

Now use the trig identity below to compute cos(2theta)

[tex]\cos(2\theta) = \cos^2(\theta)-\sin^2(\theta)\\\\\cos(2\theta) = \left(\frac{-5}{13}\right)^2-\left(\frac{12}{13}\right)^2\\\\\cos(2\theta) = \frac{25}{169}-\frac{144}{169}\\\\\cos(2\theta) = \frac{25-144}{169}\\\\\cos(2\theta) = -\frac{119}{169}\\\\[/tex]

Other options you could use are these identities

[tex]\cos(2\theta) = 2\cos^2(\theta)-1\\\\[/tex]

or

[tex]\cos(2\theta) = 1-2\sin^2(\theta)\\\\[/tex]

Answer:

D. 14 Please mark as brainliest!

Answer:

14

Step-by-step explanation:

Answer:

1. Triangles HIJ and KML

2. Triangles RST and YXZ

3. Reflexive property and Congruent Property

Step-by-step explanation:

Step-by-step explanation:

for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence

Answer:-5

Step-by-step explanation:

Hello!

-6-4/2 = -10/2=-5

Hope this helps, have a great day!

Answer:

Step-by-step explanation:

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

Answer:

the video is 4 hours and 25 minutes

Step-by-step explanation:

first you need to subtract 30 minutes from 5:25 giving you 4:55, then you need to find the difference in minutes from 2:30 to 4:55 by subtracting them or just counting because you cannot subtract units of time like they are real numbers. giving you 4 hours and 25 minutes

[tex]\sf\purple{0.5}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{50}{100} \\ = \frac{1}{2} \\ = 0.5[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

Step-by-step explanation:

area of square=l^2

=12^2

=144 in.^2

Answer:

160000m³

Step-by-step explanation:

Volume of a rectangular prism= A x h

V= l x b x h

V= 80x 50 x 40

V= 160000m³

Answer:

[tex]\text{a) }1,080^{\circ}, \\\text{b) }360^{\circ}, \\\text{c) }135^{\circ}, \\\text{d) }45^{\circ}[/tex]

Step-by-step explanation:

a) The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, substitute in [tex]n=8[/tex]:

[tex](6-2)180=\boxed{1,080^{\circ}}[/tex]

b) The sum of the exterior angles for any polygon is equal to [tex]360^{\circ}[/tex].

c) By definition, all regular shapes have equal angles and sides. Since we've found the total sum of the interior angles of an octagon in part a, each interior angle of a regular octagon must be [tex]\frac{1080}{8}=\boxed{135^{\circ}}[/tex]

d) Similar to part c, all regular shapes must have equal angles and sides. From part b, we know the sum of the exterior angles of a octagon is [tex]360^{\circ}[/tex], thus we have [tex]\frac{360}{8}=\boxed{45^{\circ}}[/tex]

It should be noted that a table where the constant rate of change is 6 inches for every foot will be:

1 foot = 6 inches

2 foot = 12 inches.

3 feet = 18 inches.

4 feet = 24 inches

5 feet = 30 inches.

It should be noted that an expression is used to show the relationship about the numbers given. In this case, it should be noted that there's a constant rate if 6 inches for every foot.

This means that there will be a difference of 6 inches for each foot.

Therefore, 1 foot = 6 inches

2 foot = 2 × 6 = 12 inches.

3 feet = 3 × 6 = 18 inches.

4 feet = 4 × 6 = 24 inches

5 feet = 5 × 6 = 3 inches.

This illustrates that that there is a constant relationship.

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Answer:

$1140 or $540

Step-by-step explanation:

450*1.2=540

540+600=1140

Answer: 77

Step-by-step explanation: