A circular garden has a radius of 8 feet. What is the arc length intercepted by a central angle of 150°?



Plz Help

Answer:

A. It takes the robot 3/20 hour to complete one task

B. The robot can complete 6 2/3 task in on hour

Step-by-step explanation:

Answer:

A. 5/24   B. 4 4/5

Step-by-step explanation:

Answer:

The length of the legs is 8.64cm and 14.64cm respectively

Step-by-step explanation:

I've added an attachment to aid my explanation.

At different intervals, I'll be making reference to it.

Given

[tex]AB = 17[/tex]

[tex]PAMC = 32[/tex]

[tex]PBMC = 25[/tex]

From the attachment, we have:

[tex]y + z = AB[/tex]

Since, M is the Midpoint

[tex]y = z = \½AB[/tex]

Substitute 17 for AB

[tex]y = z = \½ * 17[/tex]

[tex]y = z = 8.5[/tex]

Also, from the attachment

[tex]v + x + z = PAMC[/tex]

[tex]v + x + y = 32[/tex]

Substitute 8.5 for y

[tex]v + x + 8.5 = 32[/tex]

[tex]v + x = 32 - 8.5[/tex]

[tex]v + x = 23.5[/tex] --------- (1)

Also, from the attachment

[tex]v + w + z = 25[/tex]

Substitute 8.5 for z

[tex]v + w + 8.5 = 25[/tex]

[tex]v + w = 25 - 8.5[/tex]

[tex]v + w = 17.5[/tex] ----------- (2)

Subtract (2) from (1)

[tex]v - v + x - w = 23.5 - 17.5[/tex]

[tex]x - w = 6[/tex]

Make x the subject

[tex]x = 6 + w[/tex]

Apply Pythagoras Theorem:

We have that:

[tex]AB^2 = AC^2 + BC^2[/tex]

The above can be replaced with

[tex]17^2 = x^2 + w^2[/tex] (see attachment)

[tex]289 = x^2 + w^2[/tex]

Substitute 6 + w for x

[tex]289 = (6 + w)^2 + w^2[/tex]

[tex]289 = 36 + 12w + w^2 + w^2[/tex]

[tex]289 - 36 = 12w + 2w^2[/tex]

[tex]253 = 12w + 2w^2[/tex]

Reorder

[tex]2w^2 + 12w - 253 = 0[/tex]

Solve using quadratic equation:

[tex]w = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 2[/tex]

[tex]b = 12[/tex]

[tex]c = -253[/tex]

[tex]w = \frac{-12 \± \sqrt{12^2 - 4 * 2 * -253}}{2 * 2}[/tex]

[tex]w = \frac{-12 \± \sqrt{144 + 2024}}{4}[/tex]

[tex]w = \frac{-12 \± \sqrt{2168}}{4}[/tex]

[tex]w = \frac{-12 \± 46.56}{4}[/tex]

Split:

[tex]w = \frac{-12 + 46.56}{4}[/tex] or [tex]w = \frac{-12 - 46.56}{4}[/tex]

[tex]w = \frac{34.56}{4}[/tex] or [tex]w = \frac{-58.56}{4}[/tex]

[tex]w = 8.64[/tex] or [tex]w = -14.64[/tex]

But length can't be negative

So:

[tex]w = 8.64[/tex]

Recall that: [tex]x = 6 + w[/tex]

[tex]x = 6 + 8.64[/tex]

[tex]x = 14.64[/tex]

Hence, the length of the legs is 8.64cm and 14.64cm respectively

Answer:

.9

Step-by-step explanation:

Answer:

.9

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

9^2 + 6^2 = 81 + 36

= 117

Answer: 117

Step-by-step explanation: To find the sum of 9² and 6²​, first you’ll have to find the whole number value of both integers (9² and 6²​). Next, in order to do this, multiply 9 x 9 and 6 x 6. (9 x 9 = 81; 6 x 6 = 36). Lastly, add your two sums, being 81 and 36 to give you a final answer or sum of 117.

Answer:

??

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

[tex] \sqrt{x - x = 30 \\ 6 \times 6 - 6 = 30 \\ } 36 - 6 = 30 \\ 30 = 30 \\ 6[/tex]

6 is the answer

Answer:A rubric is a grading tool that describes the criteria, or "what counts," for the assignment.  It also describes each of the criteria according to gradations of quality, with descriptions of strong, middling, and problematic student work.  The criteria are listed in the column on the left.  The numbers in the top row indicate quality, with 3 being the best.   The number 0 is something everyone wants to avoid.  Students may use the rubric as a check list to determine if the writing meets the criteria of the assignment.

Point Value

2 points

1 points

.5 points

0 points

Topic Sentence

Interesting, original topic sentence, reflecting thought and insight; focused on one interesting main idea.

Clearly stated topic sentence presents one main idea.

Acceptable topic sentence presents one idea.

Missing, invalid, or inappropriate topic sentence;  main idea is missing.

Supporting Details

Interesting, concrete and descriptive examples and details with explanations that relate to the topic.  

Examples and details relate to the topic and some explanation is included.

Sufficient number of examples and details that relate to the topic.

Insufficient, vague, or undeveloped examples.

Organization and Transitions

Thoughtful, logical progression of supporting examples; Mature transitions between ideas.

Details are arranged in a logical progression; appropriate transitions.

Acceptable arrangement of examples; transitions may be weak.

No discernible pattern of organization; Unrelated details; no transitions.

Style

Appropriate tone, distinctive voice; pleasing variety in sentence structure; Vivid diction, precise word choices.

Appropriate tone; Clear sentences with varied structures; Effective diction.

Acceptable tone; some variety in sentence structures; Adequate diction and word choices.

Inconsistent or Inappropriate tone; Awkward, unclear, or incomplete sentences; Bland diction, poor word choice.

Mechanics

Consistent standard English usage, spelling, and punctuation. No errors.

Some errors, but none major, in usage, spelling, or punctuation. (1-2)

A few errors in usage, spelling, or punctuation (3-4)

Distracting errors in usage, spelling, or punctuation

Topic Sentences                                      ______

Supporting Details and Organization    ______

Organization/Transitions                        ______

Style                                                          ______

Mechanics                                                ______

           Total Points  ______ = grade of ______

*Your instructor will average the scores of both paragraphs to generate your final grade for Assignment #1.

Grade Equivalent:

A =  8 - 10 points

B =  6 -7  points

C =  4 - 5 points

D =  2 - 3 points

F =  0 - 1

Step-by-step explanation:

Answer:

Mean is fairly simple. You add up all the numbers, then divide it by how many numbers you have.

Step-by-step explanation:

Take for example, you have 1, 2, 3, 4, 5

Add all those numbers up.

1+2+3+4+5

You get 15.

To get the mean, you simply divide 15 by 5.

Why?

Because there are 5 numbers present.

In simple words,

[tex]mean \: = \: \frac{sum \: of \: the \: observations}{no. \: of \: observations} [/tex]

Answer:

This sequence is arithmetic, and the next term is 25

Step-by-step explanation:

The common difference of the sequence is 6, so the next term is 19+6=25.

The difference between the consecutive terms is constant => sequence is arithmetic.

7-1=6

13-7=6

19-13=6

Answer:

Step-by-step explanation:

a=1

c.d. d=13-7=6

[tex]a_{n} =a_{1}+(n-1)d\\a_{n}=1+(n-1)6\\a_{n}=1+6n-6\\a_{n}=6n-5[/tex]

Answer:

420 miles

Step-by-step explanation:

1 inch is equal to 105 miles. The amount of inches between the two towns is 4, and 4 inches is 4 times the amount of inches in the scale. If the amount of inches is multiplied by 4, then the amount of miles should be multiplied by 4 too:

105 * 4 = 420

The actual distance is 420 miles.

Hope this helps :)

Answer:

[tex]m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (2, -1)

Point (6, -1)

Step 2: Find slope m

Answer:

D

Step-by-step explanation:

try all of them

Answer:

x = -6

Step-by-step explanation:

let's call the number x.

"five less than"

[expression] - 5

"the quotient of a number and 3"

x/3

x/3 - 5

"is -7"

x/3 - 5 = -7

add 5 to both sides of the equation

x/3 - 5 + 5 = -7 + 5

x/3 = -2

multiply both sides of the equation by 3

x/3 * 3 = -2 * 3

x = -6

Answer:

X = number,

so the expression becomes X/5 - 14

Step-by-step explanation:

x

5

<

4

Explanation:

"Quotient" is the answer to a division.

Let's call the number

x

.

The quotient of a number (

x

) and

5

means

x

5

The quotient we have must be less than 4 , which is written

<

4

So,

x

5

<

4

Answer:

gg

Step-by-step explanation:

ggggftttgxxyuuhhhgg

The correct answer is (b) a bacteria culture triples in size every day describes a exponential function.

A relation is a function if it has only One y-value for each x-value.

The growth of a population, bacteria culture, or puppy can be modeled by an exponential function if the growth rate is proportional to the current size.

In other words, if the growth rate is constant, then the growth can be modeled by an exponential function.

Out of the three situations given, option (ii) is the only one that has a constant growth rate, since the bacteria culture triples in size every day. This means that the growth rate is constant at 200% per day.

Option (i) has a growth rate that is not constant but increases every year, so it is not best modeled by an exponential function.

Option (iii) also has a growth rate that is not constant, since the puppy grows by a fixed amount of 2 pounds every month regardless of its current weight.

Therefore, the correct answer is (b) a bacteria culture triples in size every day describes a exponential function.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ2

Answer:-20

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= -22-(-2)/(-4-(-4)

= -20/0

Answer:

B. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed.

Step-by-step explanation:

We make this conclusion based on these reasons:

It is based on the above reasons that the null hypothesis was rejected.

Answer:

A

Step-by-step explanation:

(8-5)/(3--2)

3/(3+2)

3/5

Answer:

A. 3/5

Step-by-step explanation:

(3,8) (-2,5)

Use the slope formula

(5-8)/(-2-3) = -3/-5 = 3/5

Answer:

28

Step-by-step explanation:

BRAINLIEST PLS I NEEED SO MBAD

Answer:

Brah its 25

Step-by-step explanation:

Answer:

X = 27 bags

Step-by-step explanation:

Given the following data;

Ratio of mulch to fertilizer = 1:6

Quantity of mulch = 4.5 bags

Let the quantity of fertilizer = x

Therefore,

1 mulch = 6 fertilizer

4.5 mulch = x fertilizer

Cross multiplying, we have

x = 6 * 4.5

x = 27

Therefore, if she uses 4.5 bags of mulch, then she should use 27 bags of fertilizer.

Answer:

611

Step-by-step explanation:

Length times width

47 times 13 = 611

Answer:

4). [tex]y<\frac{1}{2}x-4[/tex] (look at my explanation for how to graph)

5.) [tex]y<\frac{?}{?}x+?[/tex] (look at my explanation for how to get the correct numbers)

6.) [tex]x\geq 2[/tex] (look at my explanation for how to graph)

Step-by-step explanation:

Question 4:

    Solving for y:

First it's better if you solve for y then graph, it's easier that way.

[tex]x-2y>8\\-2y>-x+8\\y<\frac{1}{2}x-4[/tex]

As you might notice the greater than sign flipped, that doesn't always happen. It only happens when you are dividing by a negative number.

    Graphing the inequality:

When you start graphing you should always start by plotting the y-intercept. Which in this case it's [tex](0,-4)[/tex]. Then starting from that point you would go up 1 unit then right 2 units then plot the new point because the slope is [tex]\frac{1}{2}[/tex]. The 1 would be the up and down as for the 2 it will be the right and left. This goes up 1 and right 2 because it's positive. So you keep going creating new points as you go then when you reached the end of the graph you would go back to [tex](0,-4)[/tex] and do the opposite so you will do down 1 then left 2. When you run out of room you will have to draw a line, but be careful the line has to be dotted because the solid lines are used for the greater/less than or equal to signs. Then make sure to add arrows at each side of the dotted line to indicate that this line is infinite.

Question 5:

I'm very sorry but I can't see the picture since it's a bit blurry. So I'll try to explain how to write the inequality the best I can. So first we need to know the y-intercept it should be the point directly on the y-axis. Then find the slope by seeing how it gets to the next perfect point. I can tell you that the slope will be positive. Also for the sign it's dotted that means the sign is [tex]<[/tex]. So the inequality should look something like this [tex]y<\frac{?}{?}x+?[/tex]. Make sure you have the signs correct too don't change the ones I already put in.

Question 6:

For this one the inequality will look like this [tex]x\geq 2[/tex]. Then for the graph you will plot [tex](2,0)[/tex]. Then make a solid line that goes vertically since the only x-value is 3 the y-value will be changing without the x. Then for the shading you will shade the right side of the line.

Answer:

Step-by-step explanation:

it is 7.12

Answer:

16,39

Step-by-step explanation:

Answer:

x=−2

Step-by-step explanation:

Answer:

the answer is y=-1/6x-1

Answer:

You put a 1 in the Green Box

Step-by-step explanation:

The full equation is y=1/6x-1