A circle has a radius of \blue{5}5start color #6495ed, 5, end color #6495ed. An arc in this circle has a central angle of 162^\circ162
∘
162, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

answer is 14.14

Answer:

Step-by-step explanation:

4 cups = 1 pint

$3.28/4 = .82 per pint

Answer:

The number is 2.

Step-by-step explanation:

You can write this as an algebriac equation, where the "number" is x:

8x - 2 = x + 12

Then, solve for x:

8x = x + 14
7x = 14

x = 2

Answer:

6 donuts are left in the box

Step-by-step explanation:

12 divided by 4 is 3. take those three out of the 12. you are left with nine. 9 divided by 3 is 3. subtract three from the nine. you are left with 6.

Answer: I don't know

Step-by-step explanation:

There are no choices. The question stated choose the polynomial which means it should have choices.

Correct me if I'm wrong though. Hope you won't be offended.

Answer:

Please read explanation... it always helps... trust me...

Step-by-step explanation:

alrighty sooo....

when a polynomial is written in standard form that means that the exponents are in order from greatest to least.... (i hope that isn't confusing....)

here is an example:

x^6  +  x^5  + x^2 + 23     --> this polynomial is in standard form because the exponents are in order from least to greatest..... 6 then 5 then 2 then 1

(remember that a number like 23 have an invisible 1 as the exponent....

(btw, this symbol ^ means "to the power of")

I really hope this helps!!!!

Step-by-step explanation:

282.8cm³

Since the volume of each chocolate candy is in the shape of a sphere, it's volume is the volume of a sphere.

Answer:

s = 156.25 square meters

Step-by-step explanation:

s = 2lw + 2lh + 2wh

s = 2(5.5)(3) + 2(3)(7.25) + 2(5.5)(7.25)

s = 33 + 43.5 + 79.75

s = 156.25 square meters

Answer:

We know,

[tex] \quad [/tex][tex]{\boxed{ \rm{Surface \: Area_{ \: (rectangular \: prism)} = 2(lb + bh + hl)}}}[/tex]

where,

[tex] \: [/tex]

[tex] {\longrightarrow { 2 ( 5.5 \times 3 + 3 \times 7.25 + 7.25 \times 5.5 ) }} [/tex]

[tex] \longrightarrow [/tex] 2 ( 16.5 + 21.75 + 39.875 )

[tex] \longrightarrow [/tex] 2 ( 78.125 )

[tex] \longrightarrow [/tex] 156.25

Thus, The Surface Area of rectangular prism is 156.25cm².

[tex] \rule{200pt}{2pt} [/tex]

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{ \sf{\pmb{ \blue{More \: Formula}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Answer:

https://brainly.com/question/9016553

Step-by-step explanation:

You can see the answers from the exact same question. In the link I pasted.

Not my answer but hope this helps

Find Determinant value

[tex]\\ \rm\Rrightarrow \left|\begin{array}{cc}\rm 3&\rm -6\\ \rm 1&\rm -2\end{array}\right|[/tex]

[tex]\\ \rm\Rrightarrow -6+6[/tex]

[tex]\\ \rm\Rrightarrow 0[/tex]

Answer:

zero called 1 in this situation

Step-by-step explanation:

its your ans

(a)  P(3, -8), Q(1, -12)

(b)

(i)  x = -1, 4

(ii)  x = 1, 2

(c) Drawn Below, refer to the red line. Equation: x = 1.5

Given Equation's:

Part A

Coordinates of points: P(3, -8), Q(1, -12)

Part B

From the graph identify:

(i) 2x² - 6x - 8 = 0       || Solution: x = -1, 4

(ii) 2x² - 6x = -4          || Solution: x = 1, 2

Part C

Symmetry of a parabola is at the middle, dividing the curve in equal parts.

Equation: x = 1.5

The quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2

The quotient expression is given as:

[tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex]

Expand both expressions

[tex](x + 3)(x + 2)(x +1) \div (x + 3)(x +1)[/tex]

Cancel out the common factors

x + 2

Hence, the quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2

Read more about quotient expressions at:

https://brainly.com/question/8952483

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The common difference of the arithmetic sequence is 15.

The correct option is (a)

An arithmetic sequence (also known as an arithmetic progression) is a sequence of numbers in which the difference between consecutive terms is always the same.

The arithmetic sequence is defined as

x:   1     2    3    4    5

y: 8   23   38  53  68

The common difference of the arithmetic sequence is

[tex]d=\frac{y_2-y_2}{x_2-x_1}[/tex]

Let us take any two points: (1,8) and (2,23)

Then, d = [tex]\frac{23-8}{2-1}[/tex]

          d= 15

Learn more Arithmetic sequence here:

https://brainly.com/question/12964865

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Answer:

The length of the wing is 480 centimeters

Step-by-step explanation:

2 cm on the drawing is 192 cm on the acutal wing

2 = 192

divide both sides by 2

1 = 96

since the drawing has a length of five cm, multiply both sides by 5

5 = 480

therefore, 5 cm on the drawing is equal to 480 cm on the actual wing

Answer:

See below ~

Step-by-step explanation:

Finding the common difference :

Formula :

Answer:

[tex]\large \boxed{\sf 7n + 6}[/tex]

Explanation:

Sequence: 13, 20, 27,...

Find common difference: second term - first term = 20 - 13 = 7

As it is an explicit arithmetic term:

⇒ a + (n - 1)d             (a is the first term, d is common difference)

⇒ 13 + (n -1)(7)

⇒ 7n - 7 + 13

⇒ 7n + 6

Answer:

5/8

Step-by-step explanation:

There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.

Hope this helped! :)

Answer:

please check the question, it is not straight forward

Answer:

the correct graph is attached

Step-by-step explanation:

x ≥ 1 means there is a closed dot at 1

and -x + 8 means there should be an y intercept at 8 with negative slope

so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph

Answer:

x = 3.255 cm

Step-by-step explanation:

Given:

⇒ y = 10cm

⇒ θ = 19

To find:

⇒ Value of "n"

Solution

⇒ By Pythagoras theorem

⇒ Δ Sin θ = n/y

⇒ sin 19° = n/10

⇒ 0.3255 = n/10

⇒ n = 0.3255 × 10

⇒ n = 3.255 cm

Hence, the answer is = n = 3.255 cm.

Answer:

(2x + 1) (3x - 4)

Step-by-step explanation:

Solution:

The area that each color would occupy in the circular garden is: 251.32 sq. ft.

Area of a circle = πr², where the radius of the circle is represented as r.

Area of the circular garden = πr² = π(20²)

Area of the circular garden = 1,256.6 sq. ft.

Area of space each color would cover = 1,256.6/5 = 251.32 sq. ft.

Learn more about area of a circle on:

https://brainly.com/question/12269818

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Answer:

1407.43

Step-by-step explanation:

The eqaution for surface area of a cylinder is 2πr+2π[tex]r^{2}[/tex]'

but you already got the circumference so you work backwards

16pi/pi=16

16/2=8

r=8

h=20

So you plug it into the eqaution

2π8*20+2π8^2=1407.43

Answer:

3/2 or 1.5

Step-by-step explanation:

Finding the gradient

Answer:

gradient = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

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

with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-(-1)}{4-0}[/tex] = [tex]\frac{5+1}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

well I think it is so because it has to do with affecting the positive sign just think of it using normal circumstances

Step-by-step explanation:

formally, there is only one alternative : if not negative, it would be a positive number.

and that would mean

2× -4/5 = x (= a positive number)

2× -4 = 5x (= still a positive number)

-4 = 5x/2 (= still a positive number)

and -4 is definitely not a positive number.

so, it is proven, 2× -4/5 cannot be a positive number, and therefore has to be a negative number.

Answer:

113

Step-by-step explanation:

26x4=104

1x9=9

104+9=113

__________________________________________________________

Hello! In this question, we are trying to solve the expression with a given value.

__________________________________________________________

Explanation:

In this question, we were given our f(x) equation: f(x) = x² - 3

We were also given the value of our variable "x": -3

To solve the expression, we would plug in our "x" value, -3, into the "x" variables in our expression and solve.

Solve:

f(x) = x² - 3

f(-3) = (-3)² - 3

= 9 - 3

= 6

Therefore, the value of f(-3) is 6.

__________________________________________________________

Answer:

f(-3) = 6

__________________________________________________________

To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.

Given the function f(x) = x² - 3, evaluate the function at f(-3) by substituting in x = -3:

[tex]f(-3) = -3^2-3[/tex]

Use BPEMDAS, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, evaluate -3².

[tex]-3\times-3=9[/tex]

Then, evaluate the rest of the expression by subtracting 3 from 9:

[tex]9 - 3 = \boxed{6}[/tex]

The final answer is f(-3) = 6.

Answer:

Be Nice & Have Manners.

Step-by-step explanation:

Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.

Answer: Population: all the ham meat; Sample: four random places in the ham

Step-by-step explanation: I just took the test and got it right

Answer:

B)  2.19 %

Step-by-step explanation:

The rule of 70 is used to estimate the time (in years) it takes for an investment to double.

Rule of 70 Formula

[tex]\textsf{Number of Years to Double}=\sf \dfrac{70}{\textsf{Annual Growth Rate}}[/tex]

Given:

Substituting this into the formula and solving

[tex]\implies \sf 32=\sf \dfrac{70}{\textsf{Annual Growth Rate}}[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf \dfrac{70}{32}[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf 2.1875[/tex]

[tex]\implies \textsf{Annual Growth Rate}=\sf 2.19 \% \: (nearest\:hundredth)[/tex]

Answer:

I think it is B

Step-by-step explanation:

hope it will help you