A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).

A) Find The Distance Of Line Segment PR. Round Answer To The Nearest Tenth. B) Find The Distance Around

Answers

Answer 1

Answer:

A. [tex] PR = 80.6 yd [/tex]

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]

[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]

[tex] PR = \sqrt{4,900 + 1,600} [/tex]

[tex] PR = \sqrt{6,500} [/tex]

[tex] PR = 80.6 yd [/tex] (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd


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4cos^2(x)-7cos(x)+3
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Answers

I assume you're asked to solve

4 cos²(x) - 7 cos(x) + 3 = 0

Factor the left side:

(4 cos(x) - 3) (cos(x) - 1) = 0

Then either

4 cos(x) - 3 = 0   or   cos(x) - 1 = 0

cos(x) = 3/4   or   cos(x) = 1

From the first case, we get

x = cos⁻¹(3/4) + 2  or   x = -cos⁻¹(3/4) + 2

and from the second,

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where n is any integer.

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Step-by-step explanation:

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Step-by-step explanation:

because the value of x is o so if you have (0,5) & (4, 5) the y intercept will be 0  

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The order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x. A graph is a structure that amounts to a set of items.

What is graph?

A graph is a structure that amounts to a set of items in which some combinations of the objects are already in some manner "connected" in discrete mathematics, more specifically within graph theory.

The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge. A graph is typically shown diagrammatically as a collection of dots as well as circles representing the vertices and lines or curves representing the edges. The order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x.

Therefore, the order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x.

To know more about graph, here:

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To rent a building for a school dance Ava paid 120$ plus 2.50 for each student who attended if she paid a total of $325 how many students attended the dance

Answers

Answer:

82

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

The first thing you do here is subtract 120 from 325

325-120=205

The next step is to divide 205 by 2.50 to find how many students attended

205/2.50=82

Therefore 82 students paid the $2.50 price to attend the dance

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario. What number will complete the point-slope equation that models this scenario?

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Answer:

Step-by-step explanation:

sup

A rate in which the second quantity in the comparison is one unit is known as a
______________________.

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Unit rate -- A rate in which the second quantity in the comparison is one unit.

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Answer:

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Step-by-step explanation:

math

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Answers

Answer:

First we need to express y in this inequality:

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-y > -2x + 10

y < 2x - 10

The line isn't solid because the "less" sign doesn't include equal in it.

Because the sign is "less than" the shaded part is Below the line.

Merging these 2 conclusion we get the answer:

below the dashed line.

Step-by-step explanation:


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Answers

Answer:

All we need to do is solve for y.

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The answer is A. y = 4x + 11.

1/4 of 36 bottles of water =

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Answer:

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Step-by-step explanation:

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I think the answer is 9!!

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Answer:

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Step-by-step explanation:

Write a conjecture that describes the pattern below.

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Answer:

the pattern is going by 3s and u would multiply 3 by each number

100 POINTS!!!!
how do you fall asleep in 1 second?

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Answer:

S*i*I*E

Sorry don't know.

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Answer:

Impossible

Step-by-step explanation:

think logically, your going to need a longer time scale

lets say 1 minute

let your lips part slightly.

Then close your lips and inhale silently for 4 seconds.

Hold your breath for 7 seconds. You can also count till 7 in your head.

Exhale with a whoosh sound for 8 seconds.

Avoid being too alert.

Keep doing this process mindlessly.

do this activity at least 4-5 times.

the relationship between the elapsed time in minutes since the stew was removed from the stove and temperature of the stew measured in c is modeled by the following function

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You well just have to subtract

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Answer:

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Step-by-step explanation:

A rectangle has an area of 3/2 square yards,if the width of the rectangle is 1/2 yard,what is the length of the rectangle,in yards?

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Answer:

3

Step-by-step explanation:

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The record low temperature in Hawaii is -0.15 times the record low temperature in Alaska. The record low temperature in Hawaii is 12°F. What is the record low temperature in Alaska?

Answers

Answer:the record low temperature in Alaska = -80°F

Step-by-step explanation:

Step 1

Let the temperature in Alaska be = x

such that  the temperature in Hawaii be -0.15 times temperature in Alaska = -0.15 x.

Step 2

IF the   record low temperature in Hawaii is 12°F.

Alaska = ??

We know that

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Answers

Answer:

$11,000

Step-by-step explanation:

Step one:

given data

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width= 25ft

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Kaylee earned $446.40 at her job when she worked for 18 hours. What was her hourly wage, in dollars per hour?

On the double number line below, fill in the given values, then use multiplication or division to find the missing value.

Answers

Answer:

Kaylee earned $24.8 per minute.

Step-by-step explanation:

Basically, just divide the total wage, by hours earned.

in the blanks I assume you just put 24.8 dolars per 1 hour and then the final 446.40 for 18 hours at the end of the number line :)

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Answers

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Step-by-step explanation:

Mean is the sum of all the numbers divided by how many numbers are being added.

Mean = (1 + 2 + 3 + 4 + 5)/5

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

B)3072

Step-by-step explanation:

an= 3•4^(n-1)​

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Answers

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Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Step-by-step on how to solve it is in the image below.

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Answer:b

Step-by-step explanation:y=2x-3

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Answer:

the picture isnt popping up

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HL
the hypotenuses are congruent and one side of the triangle is congruent

I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value of q

Answers

Given:

A number is q, multiply it by 2 and add 5.

You get the same answer as when you minus 2 from q.

To find:

The value of q.

Solution:

The algebraic representation of the statement "a number is q, multiply it by 2 and add 5" is

Multiply q by 2 = 2q

Multiply q by 2 and then add 5 : 2q + 5

So, the first result is 2q+5.

When you minus 2 from q = q-2

So, the second result is q-2.

According to the question, both results are equal. Equate both results to get the value of q.

[tex]2q+5=q-2[/tex]

Isolate variable terms.

[tex]2q-q=-5-2[/tex]

[tex]q=-7[/tex]

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Answers

No because the domain which is the x in the coordinate is repeating. one input and one output only

Answer:

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Step-by-step explanation:

Colin buys a tv for £530. It depreciates at a rate of 3% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.

Answers

Answer: In 5 years it will be worth £455

Step-by-step explanation:

Step 1

Given

The cost of the T.V. for Colin = £530.

The rate of depreciation per year = 3%

Time/ period = 5 years

Formulae to be used

F = P  X (1 - r) ^ n

where

F = the future value after depreciation

P = the present value.

r =the interest rate per time period

n = the time/ periods

Step 2--- SOLVING

F = P  X (1- r) ^ n

F= 530 x (1-0.03) ^ 5

=530 x 0.858734

=£455.129

Rounding up to the nearest penny where appropriate = £455

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