I need to help finding the length of the arc shown in red..

I Need To Help Finding The Length Of The Arc Shown In Red..

Answers

Answer 1

We have the next formula to find the length is

[tex]\text{arc length }=\text{ 2}\pi r(\frac{\theta}{360})[/tex]

where

r=10

theta=45°

[tex]\begin{gathered} \text{arc length=}2\pi(10)\frac{45}{360}=\frac{5}{2}\pi \\ \end{gathered}[/tex]

the arc length is 5/2 pi cm


Related Questions

please help this is for my study guide thanks! (find volume) (don't round)

Answers

100,000π ft³

1) Let's find the volume of that Cylinder using this formula:

[tex]V=\pi r^2h[/tex]

Note that the volume is the area of the base (a circle) times the height

2) Also, notice that in the picture we have the diameter, the radius is half the Diameter:

[tex]\begin{gathered} V=\pi\cdot(50)^2\cdot40 \\ V=100000\pi^{} \end{gathered}[/tex]

3) So the volume is 100,000π ft³

Which of the following is a correct interpretation of the expression -8 + (-8)?

Answers

The solution is:

*The expression describes the number that is 8 to the left of -8 on the number line. [Option A].

An electronics store makes a profit of $59 for everystandard DVD player sold and $69 for every portableDVD player sold. The manager's target is to make atleast $345 a day on sales from standard and portableDVD players. Write an inequality that represents thenumbers of both kinds of DVD players that can besold to reach or beat the sales target. Let s representthe number of standard DVD players sold and prepresent the number of portable DVD players sold.Then graph the inequality.

Answers

The profit on one standard DVD player is $59 and on one portable DVD player is $69.

If there are s number of standard DVD player then total profit on standard DVD players is $59s. Simillarly total profit on portable DVD players is $69p.

The total profit on DVD player shoul be at least $345, which means total profit on DVD players is $345 or more than $345.

The linear inequalty for total profit is,

[tex]59s+69p\ge345[/tex]

The graph of the linear inequality is,

In graph, lines pointing away the origin represent the region for the equation.

the number of regular telephones in use is how many times the number of cellular phones? 45% regular phones15% cellular phones6% others34% Cordless phones

Answers

Solution

For this case we have the following info:

45% regular phones

15% cellular phones

6% others

34% Cordless phones​

We know that the total regular of phones is 45% and the total of cellular phones are 15% then we can find the ratio like this:

45/15 = 3

Question Evaluate. 7⋅5+42−23÷4 Responses 49 49 41 41 34 34 9 9

Answers

Answer: 71.25

This is not of of the options, but is the right answer.

Step-by-step explanation:

7 x 5 + 42 - 23 / 4 =

Step 1: Make parentheses

(( 7 x 5 ) + 42) - ( 23 / 4) =

Step 2: Solve parentheses ( Multiplication and division first )

(35 + 42) - 5.75 =

Step 3: Solve parentheses ( Addition )

77 - 5.75 =

Step 4: Subtract

= 71.25

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The volume of the right cone below is 36π units ^3. Find the value of x

Answers

Explanation

The formula to find the volume of a cone is:

[tex]\begin{gathered} V=\frac{1}{3}\pi r{}{}^2h \\ \text{ Where} \\ V\text{ is the volume} \\ r\text{ is the radius} \\ h\text{ is the heigth} \end{gathered}[/tex]

Then, we replace the know values in the above formula and solve for h.

[tex]\begin{gathered} V=36\pi \\ r=\frac{\text{ diameter}}{2}=\frac{6}{2}=3 \\ h=x \end{gathered}[/tex][tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ 36\pi=\frac{1}{3}\pi(3)^2x \\ 36\pi=\frac{9\pi x}{3} \\ 36\pi=3\pi x \\ \text{ Divide by }3\pi\text{ from both sides} \\ \frac{36\pi}{3\pi}=\frac{3\pi x}{3\pi} \\ 12=x \end{gathered}[/tex]Answer

The value of x is 12 units.

Cai says you can divide both quantities in a ratio by the same non-zero number to find an equivalent ratio. Explain why cai is correct.

Answers

In this case, Cai is right.

Basically, Cai is right because a ratio is a fraction. So, if you divide the numerator and denomirator by the same number, the fraction won't be changed, in that case you would get an equivalent fraction.

For example, if we have 4/6, and we divide both numbers by 2, we get 2/3, these operations are valid because you are dividing both numbers by the same (2).

Sales tax in South Carolina is 5%. Mr. Smith bought a new car there for $18,700. What did he pay in sales tax?

Answers

Answer:  $935

Step-by-step explanation:

Mr. Smith paid $935 in sales tax

Which pair of numbers are not opposites?
47 and- 47
74 and -74
|4| and -4
47 and |-47|

Answers

FOR THE PAIRS TO BE OPPOSITE IT MEANS THE NUMBERS SHOULD ALSO CONTRAST IN SIGNS.

47 AND -47 ARE OPPOSITE

74 AND - 74 ARE OPPOSITE

|4|=4 AND -4 ARR OPPOSITE

47 AND |-47|=47 ARE NOT OPPOSITE BECAUSE THEY BOTH HAVE THE SAME SIGNS.

THE LAST OPTION IS THE ANSWER.

The illustration below shows the graph of y as a function of x.complete the following sentences based on the graph of the function.* initially, as x increases, y (increases, decreases or stays constant).* the slope of the graph is equal to ___ for all x between x = 0 and x = 3.* starting at x = 3, the function value y (increases, decreases, or stays constant) as x increases.* the slope of the graph is equal to ___ for x between x = 3 and x = 5.* for x between x = 0 and x = 4, the function value y (≤, ≥, or =) 0.* for x between x = 4 and x = 8, the function value y (≤, ≥, or =) 0.

Answers

We will have the following:

*Initially, as x increases, y decreases.

*The slope of the graph is equal to -1 for all x between x = 0 & x = 3.

*Starting at x = 3, the function value y increases as x increases.

*The slope of the graph is equal to 3 for x between x = 3 & x = 5.

*For x between x = 0 & x = 4, the function value y ≤ 0.

*For x between x = 4 & x = 8, the function value y ≥ 0.

Mr.Gonzalez spent $50 more than Mr.Silva on school supplies. together, they spent $174. How much money did each of them spent?

Answers

Answer: You need to spend more than $5.00

Step-by-step explanation:

If 12 gallons of gas cost $26.68, howmuch will 15 gallons cost? (proportion)

Answers

It is expected that the cost of gas will increase as the number of gallons increases and decrease as the number of gallons decrease. This is a direct proportion

As such, if

12 gallons of gas cost $26.68

15 gallons will cost 15/12 * $26.68

= $33.35

15 gallons of gas will cost $33.35

What’s the last number in row 8 for the new number triangle I made

Answers

We have the sequence, shown as a number triangle, where in each step we add 5 (that is the constant difference).

We can write:

1

6 11

16 21 26

31 36 41 46

51 56 61 66 71

76 81 86 91 96 101

106 111 116 121 126 131 136

141 146 151 156 161 166 171 176

Answer: The last number in row 8 is 176.

Answer:

thr last number in row eight is 176

Endpoint 19,-10) Midpoint (4,8).What is the other endpoint

Answers

Let the first end point be x1 y1 and the second x2 y2 the midpoint would be

x1 + x2 / 2 y1 + y2 / 2

Hence

(19 + x2)/2 = 4

19 + x2 = 8

x2 = 8 -19

x2 = -11

(-10 + y2)/2 =8

- 10 + y2 = 8

y2 = 8 + 10

= 18

The other end point is (-11, 18)

d1 = 16 m; d2 = 14 m what's the rhombus?

Answers

Step 1 : To determine the area of the rhombus

[tex]\begin{gathered} d_1=16m,d_2\text{ = 14m } \\ Area\text{ = }\frac{1}{2}\text{ }\times d_1\text{ }\times d_2 \\ Area\text{ = }\frac{1}{2}\text{ }\times\text{ 16 }\times\text{ 14} \\ Area\text{ = }\frac{224}{2} \\ Area=112m^2 \end{gathered}[/tex]

Therefore the area of the rhombus = 112m²

Valentina earned some money doing odd jobs last summer and put it in a savings account that earns 7% interest compounded quarterly after 5 years there is 500.00 in the account how much did valentina earn doing odd jobs

Answers

[tex]\begin{gathered} 7\text{ percent interest compounded quarterly after 5 years} \\ 500\text{ in the account} \\ the\text{ }compound\text{ interest formula is given by} \\ A=P(1+\frac{r}{n})^{nt} \\ \text{where, r is the rate} \\ P\text{ the principal} \\ n\text{ number of years} \\ \text{t is the time} \\ A\text{ the amount} \\ by\text{ substituying values, we have:} \end{gathered}[/tex][tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=500(1+\frac{0.07}{\frac{1}{4}})^5 \\ A=500(1+0.28)^5 \\ A=500(3.43) \\ A=1717.98 \end{gathered}[/tex]

Evaluate g(-3)Determine the coordinates of the point given by the answer aboveEvaluate g(2a)Step By Step Explanation Please

Answers

Given the quadratic equation:

[tex]g(x)=3x^2-5x+4[/tex]

Let's solve for the following:

• (a) g(-3)

To solve for g(-3), substitute -3 for x and evaluate.

Thus, we have:

[tex]\begin{gathered} g(x)=3x^2-5x+4 \\ \\ g(-3)=3(-3)^2-5(-3)+4 \\ \\ g(-3)=3(9)+15+4 \\ \\ g(-3)=27+15+4 \\ \\ g(-3)=46 \end{gathered}[/tex]

Hence, we have:

g(-3) = 46

• (b) To determine the coordinates of the point given in question (a).

In the function, g(x) can also be written as y.

Thus, from g(-3), we have the following:

x = -3

y = 46

When x = -3, the value of y = 46

In point form, we have the coordinates:

(x, y) ==> (-3, 46)

Therefore, the coordinates of the given point by the answer in (a) is:

(-3, 46)

• (c) Evaluate g(2a).

To evaluate g(2a), substitute 2a for x in the equation and evaluate.

Thus, we have:

[tex]\begin{gathered} g(x)=3x^2-5x+4 \\ \\ g(2a)=3(2a)^2-5(2a)+4 \\ \\ g(2a)=3(4a^2)-5(2a)+4 \\ \\ g(2a)=12a^2-10a+4 \end{gathered}[/tex]

ANSWERS:

• (a) g(-3) = 46

• (b) (-3, 46)

• (c) g(2a) = 12a² - 10a + 4

consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?

Answers

Problem: consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?​.

Solution:

Let the function f(x) whose second derivative is:

[tex]f^{\prime\prime}(x)\text{ = 4x+4sin(x)}[/tex]

Now, the antiderivative (integral) of the above function would be:

EQUATION 1:

[tex]f^{\prime}(x)=\int f^{\prime\prime}(x)\text{ }dx\text{= }2x^2-4\cos (x)\text{ +C1}[/tex]

where C1 is a constant because we have an indefinite integral. Now the antiderivative (integral) of the above function f´(x) is:

[tex]f(x)=\int f^{\prime}(x)\text{ }dx\text{=}\int \text{ (}2x^2-4\cos (x)\text{ +C1)}dx\text{ }[/tex]

that is:

EQUATION 2:

[tex]f(x)=\text{ }\frac{2x^3}{3}-4\sin (x)+C1x+\text{ C2}[/tex]

where C2 is a constant because we have an indefinite integral.

Now using the previous equation, if f(0)= 3 then:

[tex]3=\text{ C2}[/tex]

Now, using equation 1 and the fact that f ´(0) = 4, then we have:

[tex]4=f^{\prime}(0)\text{= }^{}-4\text{ +C1}[/tex]

That is:

[tex]4=\text{ }^{}-4\text{ +C1}[/tex]

Solve for C1:

[tex]8=\text{ }^{}\text{C1}[/tex]

Now, replacing the constants C1 and C2 in equation 2, we have an expression for f(x):

[tex]f(x)=\text{ }\frac{2x^3}{3}-4\sin (x)+8x+3[/tex]

Then f(5) would be:

[tex]f(5)=\text{ }\frac{2(5)^3}{3}-4\sin (5)+40+3=\text{ }125.98[/tex]

then the correct answer is:

[tex]f(5)=\text{ }125.98[/tex]

find the area of the semicircle round to the nearest tenth use 3.14 for pi do not include units with your answer 12 in

Answers

226.08

1) Since the area of the semicircle is half the circle area, then we can write:

[tex]S=\frac{1}{2}\cdot\pi\cdot r^2[/tex]

2) So we can plug into that the size of that radius:

[tex]\begin{gathered} S=\frac{1}{2}\cdot\pi\cdot(12)^2 \\ S=\frac{1}{2}\cdot\pi\cdot144 \\ S=72\pi\Rightarrow S=72\times3.14\Rightarrow S=226.08 \end{gathered}[/tex]

3) Hence, the area of that semicircle is 226.08 in²

Jane needs $20 to buy her radio.She has saved $15.What precent of the cost of the radio has she saved?

Answers

Let's begin by listing out the information given to us:

Cost of Radio (c) = $20

Jane's saving (s) = $15

% of radio cost saved = (Jane's saving / Cost of Radio) * 100%

[tex]\begin{gathered} x=\frac{s}{c}\cdot100 \\ x=\frac{15}{20}\cdot100=75 \\ x=75 \end{gathered}[/tex]

Jane has saved 75% of the radio cost

5) 40,20,10,5, _,_,_a) Explain and Complete the sequence.B) write an explicit and recursive formula for the sequence

Answers

We have the sequence: 40, 20, 10, 5,...

Each term is half the previous term, so it is a geometrical sequence with common ratio r = 0.5.

We can not complete the sequence, as it becomes infinitely smaller and does not have a last term.

But we can write the three next terms to complete the blank spaces: 2.5, 1.25, 0.625.

We can start by writing the recursive formula. We know that each term is half the value of the previous term, so we wil have:

[tex]a_n=0.5\cdot a_{n-1}[/tex]

From this recursive formula, we can deduce the explicit formula (in terms of n) as:

[tex]\begin{gathered} a_1=40 \\ a_2=0.5\cdot40=20 \\ a_3=0.5\cdot20=0.5\cdot(0.5\cdot40)=0.5^2\cdot40=10 \\ a_4=0.5\cdot10=0.5\cdot(0.5^2\cdot40)=0.5^3\cdot40 \\ \Rightarrow a_n=40\cdot0.5^{n-1} \end{gathered}[/tex]

Answer:

a) Geometric sequence with r = 0.5.

The sequence first terms are: 40, 20, 10, 5, 2.5, 1.25, 0.625.

b) The recursive formula is a(n) = 0.5*a(n-1).

The explicit formula is a(n) = 40*0.5^(n-1).

The solution process is shown for any equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop down menu.

Answers

Answer:

Explanation:

Here, we want to get the values in the segments

a) Here we would have to open up the brackets

Now, to do this, we are going to use the distributive property

By using the distributive property, we will be able to open up the brackets

Doing this, we can get the values in the brackets

So the answer here is distributive property

b) Here, we have

14 = -y after combining the like terms

The correct answer here is the subtraction property of equality

We simply subtract 3y from both sides of the equation to arrive at this answer

c) -14 = y

We have the multiplication property of equality

The reason for this is that we multiplied both sides by -1 to arrive at this answer

d) y = -14

This is the symmetric property of equality

We have this here because if two values are equal on both sides, we can switch each to the opposite sides and still retain the same equality values

Find the slope of the line defined by each pair of points.:( points :(-1,4). Points. (-1,-5)

Answers

Notice that the x coordinate of both points is the same, therefore the line is a vertical line.

Answer: The slope is undefined.

A landscape supply business charges $35 to deliver mulch. The cost of the mulch is
$29 per cubic yard. Write a linear equation to find the cost of having x cubic yards of
mulch delivered to a site.

Answers

The linear function to represent the number of mulch delivered to a site  is y = 29x + 35

What is a linear function?

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

For this question, we can represent the cost of having x cubic yards of mulch delivered to a site. For a standard linear function, it can be represented as y = mx + c

m = slope

c = intercept

We can use this concept to write a linear function to represent this problem:

y = mx + c

y = 29x + 35

In this case, the slope is 29 and the intercept is 35. The slope in this situation is the cost of the mulch and the amount charged by the business is the intercept.

The equation representing this problem is y = 29x + 35

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Solve for x.2x + 3 ≤ x + 5

Answers

Answer:

x ≤ 2

Explanation:

Given the inequality:

[tex]2x+3\le x+5[/tex]

First, we subtract x from both sides.

[tex]\begin{gathered} 2x-x+3\le x-x+5 \\ x+3\le5 \end{gathered}[/tex]

Next, we subtract 3 from both sides.

[tex]\begin{gathered} x+3-3\leqslant5-3 \\ x\leqslant2 \end{gathered}[/tex]

2. Graph the following inequality on the axes provided below: 6x + 2y = 8 -10 8 6 4 2 -101-8-6 1-4-2 -2 2 4_LG_L 8 10 -4 -6 -8 -10 True or False: (1,1) is a solution to the inequality. Explain using evidence from your graph.

Answers

We are given the following inequality

[tex]6x+2y<8[/tex]

Let us first convert the inequality into slope-intercept form

[tex]\begin{gathered} 6x+2y<8 \\ 2y<-6x+8 \\ y<-\frac{6x}{2}+\frac{8}{2} \\ y<-3x+4 \end{gathered}[/tex]

Comparing this inequality with the standard slope-intercept form we see that

Slope = -3 and y-intercept = 4

So the graph of the inequality is

The area left to the red line represents the solution of the inequality.

Now we need to check if the point (1, 1) lies left to the red line.

We can clearly see that point (1, 1) is just left to the red line hence it is a solution.

Therefore, it is true.

help meeeee pleaseeeee!!!





thank you

Answers

The values of f(0), f(2) and f(-2) for the polynomial f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex] are 12, 28 and 52 respectively.

According to the question,

We have the following information:

f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex]

Now, to find the value of f(0), we will put 0 in place of x.

f(0) = [tex]-0^{3} +7(0)^{2} -2(0)+12[/tex]

f(0) = 0+7*0-0+12

(When a number has some power then it means that in order to solve this we have expand the expression and multiply the number as many times as the power is given. For example, in the case of 3 as power, we will multiply any number 3 times and in case of 2 as power, we will multiply the given number 2 times.)

f(0) = 0+0-0+12

f(0) = 12

Now, to find the value of f(2), we will put 1 in place of x:

f(2) = [tex]-2^{3} +7(2)^{2} -2(2)+12[/tex]

f(2) = -8+7*4-4+12

f(2) = -8+28-4+12

f(2) = 40 -12

f(2) = 28

Now, to find the value of f(2), we will put -2 in place of x:

f(-2) = [tex]-(-2)^{3} +7(-2)^{2} -2(-2)+12[/tex]

f(-2) = -(-8) + 7*4+4+12

f(-2) = 8+28+4+12

f(-2) = 52

Hence, the value of f(0) is 12, f(2) is 28 and f(-2) is 52.

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Choose the equation below that represents the line passing through the point (2, -4) with a slope of(1 point)Oy=kx-3Oy -x+5Oy-1x+3Oy=1x-5

Answers

The equation of a line in slope-intercept form can be written like this:

y = mx + b

Where m is the slope and b is the y-intercept of the line.

In this case, the slope of the line is 1/2, then we can rewrite the above equation like this:

y = (1/2)x + b

We are also told that this line passes through (2, -4), by replacing 2 for x and -4 for y into the above equation, we can solve for the value of b, like this:

-4 = 2(1/2) + b

-4 = 1 + b

-4 - 1 = 1 - 1 + b

-5 = b

b = -5

Then, we can rewrite the equation of the line, like this:

y = (1/2)x - 5

Then, the last option is the correct answer

Please help me with this sample question.Find f(0)Find f(1)Find f(2)

Answers

In order to find the values of f(0), f(1) and f(2), we just need to find in the graph for the value of the function (that is, the value of y) for the values of x equal to 0, 1 and 2 respectively.

Looking at the graph, for x = 0 we have y = -7, therefore f(0) = -7

For x = 1 we have y = -2, therefore f(1) = -2

For x = 2 we have y = -5, therefore f(2) = -5

Can you please help me out with a question

Answers

S = 2(a*b + a*c + b*c)

= 2 (12*15 + 12*6 + 15*6)

= 2 (342)

= 684 ft^2

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