A park maintenance person stands 16m from a circular monument. Assume that her lines of sight from tangents to the monument and make an angle of 47 what is the measure of the arc of the monument that her lines of sight intersect?


A) 23. 5


B) 94


C) 266


D) 133

Answer:

  3/8

Step-by-step explanation:

A ratio is expressed in lowest terms by removing common factors from numerator and denominator.

  [tex]\dfrac{2.7\text{ hr}}{7.2\text{ hr}}=\dfrac{3\cdot0.9\text{ hr}}{8\cdot0.9\text{ hr}}=\boxed{\dfrac{3}{8}}[/tex]

Sequence: 1, 3, 6, 10, 15, …

If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]

Check for arithmetic:

[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]

[tex]\sf \rightarrow 3 =3.5[/tex]    Hence, the sequence is not arithmetic

Check for geometric:

[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]

[tex]\sf \rightarrow 3 = \sqrt{6}[/tex]   Hence, the sequence is not geometric

Solution:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{and} [/tex]

[tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]

Hope it helps ~

Answer: 16

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If that is wrong tell me. I am sure it is right tho

Answer:

See below

Step-by-step explanation:

Decreasing 10% means the car retains 90 % of its value

Value of car = 5000 ( .90)^x      where x = number of years

260

Step-by-step explanation:

11y + 6 =139

-6

11y. = 133

÷11

y. = 133/11

22y - 6

22 x 133/11 - 6

=260

Hope this helps!

Step-by-step explanation:

[tex]11y + 6 = 139 \\ 11y = 133 \\ y = 12.0909[/tex]

so,

[tex]22y - 6 \\ 22(12.1) - 6 \\ = 260[/tex]

Answer:

Step-by-step explanation:

12

Answer:

a) 12

b) 11

c) 8

Step-by-step explanation:

Using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex]

a is the shorter side,

b is the longer side,

c is the hypotenuse.

a) [tex]a^2 + b^2 = c^2\\5^2+b^2=13^2\\25+b^2=169^2\\b^2=169-25\\b^2=144\\b=\sqrt{144}=12\\ b=12[/tex]

b)[tex]a^2 + b^2 = c^2\\a^2+60^2=61^2\\a^2+3600=3721\\a^2=3721-3600\\a^2=121\\a=\sqrt{121}=11\\ a=11[/tex]

c)[tex]a^2 + b^2 = c^2\\a^2+15^2=17^2\\a^2+225=289\\a^2=289-225\\a^2=64\\a=\sqrt{64}=11\\ a=8[/tex]

Answer:

(x - 3)^2 + (y - 2)^2 = 4^2

Step-by-step explanation:

Looking at the graph its obviously a circle as it said.

We have to find (h,k) and the radius of that circle.

(h, k)  = (3,2)

Origin to the edge of the A.

radius = 4

(x - 3)^2 + (y - 2)^2 = 4^2

Answer:

sphere have a same diameter of cone so

the sphere have a diameter of 40 then the diameter is 40÷2=20

that's mean than the radios is 20

Answer: 49.8

Step-by-step explanation:

Answer:

697

Step-by-step explanation:

A product is an answer to a multiplication question

Answer:

[tex]1 \2 (7 + 12)6 \\ 1 \2(19)6 \\ 114 \times 1 \2 = 72[/tex]

so therefore area is 72cm²

The year the model would most likely  be sufficient to make a prediction of the population is 2005.

The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.

Please find attached the complete question. To learn more about exponential functions, please check: https://brainly.com/question/26331578

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Answer:

number of passengers is an independent variable, average speed depends on the number of passengers so its a dependent variable, liters of fuel used depends on average speed so its a dependent variable

Step-by-step explanation:

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of each pizza and y the cost of each drink. Hence:

3x + 5y = 47.45  (1)

Also:

4x + 8y = 65.92  (2)

From both equations:

x = 12.5, y = 1.99

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

Find out more on equation at: https://brainly.com/question/2972832

The length of arc PS from the information given in the task content is; 31.5 ft.

It follows from the task content that;

On this note, the length of arc PS is;

arc PS = (164/360) × 2 × 3.14 × 11.

arc PS = 31.5ft.

Read more on length of an arc;

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Answer:

p<15/2

Step-by-step explanation:

p<(25+5)/4

p<30/4

p<15/2

Answer:

$91.66

Step-by-step explanation:

We need to calculate how much they've saved so far. So we multiply 12 * 14 to get 168 months (14 years). Then we can multiply 350 by 168 to get $58,800.

We then subtract 58,800 from 80,000 to get 21,200 left to cover over 4 years. In 4 years, there are 48 months so we just divide 21,200 by 48 to get 441.66.

Subtract 350 from 441.66 to get 91.66.

We can check this by doing (350*168) + (441.66 * 48).

Hope this helps,

As always, correct me if I'm wrong

Answer:

Given :-

Money saved by her parents each month = $350

Time = 14 years = 14 × 12 = 168 months

To find :-

How much money ger parents have to save in next 4 years to achieve the goal of $80,000

Total money saved in 14 years = 350 × 168 = $58,800

Total money left to achieve goal = 80,000 - 58,800

= $21,200

Money they have saved next 4 years in each month to achieve the goal

[tex] = \frac{21200}{4 \times 12} \\ = \frac{21200}{48} \\ = 441.69 [/tex]

They need $441.69 each month to complete $80,000 for her college.

Answer:

96 degress letter G

Step-by-step explanation:

The expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.

The volume of a cone is given by the following formula presented below;

V = ¹/₃πr²h

where;

The volume of a cone can be determined by multiplying the square of the radius and height of the cone.

Thus, the expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.

Learn more about volume of cone here: https://brainly.com/question/20099462

Answer:

[tex]\frac{2}{3}[/tex] π x³

Step-by-step explanation:

Answer:

Computer Science is more harder so I would go with Precalculus.

Answer:

1cm=20km

multiply both sides by 9

you get

9cm=20x9km

9cm=180km

Answer:

20

Step-by-step explanation:

To evaluate the expression for a= 3, replace (or 'substitute') every 'a' you see with a '3' in the expression.

Given expression: 32 -4a

When a= 3,

32 -4a

= 32 -4(3)

= 32 -12

= 20

Answer:

Step-by-step explanation:

In the question we're given with an expression that is 32 - 4a , value of a is 3 . And we are asked to evaluate the expression for a = 3 .

Solution : -

[tex] \longmapsto \: 32 - 4a[/tex]

Step 1 : Substituting value of a in given expression :

[tex] \longmapsto \:32 - 4(3)[/tex]

Step 2 : Multiplying 4 with 3 :

[tex] \longmapsto \:32 - 12[/tex]

Step 3 : Subtracting 12 from 32 :

[tex] \longmapsto \: \red{\boxed{ \frak{20}}}[/tex]

25 minutes long

Hope this helps!

Ok so we know that the movie starts at 7:15 PM. The duration of the movie is 1.5 hours long. She begins eating her snack after the movie which, sense 7:15 plus 1.5 hours is 8:45, is 8:45. She finishes her snack at 9:10. What is the difference between 9:10 and 8:45?

For me, the easiest thing to do we would be to add a half hour (30 minutes) to the 8:45. This gets 9:15. Since 9:15 is past 9:10, I subtract the difference to get 5 minutes. I then take the 30 minutes I added to the 8:45 and subtract the 5 minutes that it went over to get 25 minutes. This is the easiest way to get the answer in my opinion. Sorry if this could not be of help to you!

Diagram to better understand maybe? (I did the best I could with this lol)

                                              x (the 25 minutes you found once you solved it)

                                                                                      ^

7:15 PM ----------------------------- 1.5 hours later----------------------------------- 9:10 PM

^                                                          ^                                                            ^

Time the movie started          Movie length             When she finished eating

The scatter plot shows the association between the ordered pairs

The two ordered pairs that can be joined to best draw the line of best fit for this scatter plot are (0, 13) and (10, 0)

To draw the line of best fit, the line must pass through at least two points such that the number of points on either sides of the line must be equal

See attachment for illustration

From the attached image of the graph, we can see that the line passes through the points (0, 13) and (10, 0), and there are 4 points on either sides

Hence, the two ordered pairs are (0, 13) and (10, 0)

Read more about scatter plots at:

https://brainly.com/question/2820882

Answer: (0,13) and (10,0)

Step-by-step explanation:

I took the test on flvs.net