Find the perimeter and the area of the polygon with the given vertices N (-4,2) , P (5,2) , Q (5,5) , R (-4,5) PLEASE ANSWER

Answer:

AB ≈ 312.1 m

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )

AB × sin50° = 240 × sin85° ( divide both sides by sin50° )

AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )

Answer:

f(x) = (1/5)^x

Step-by-step explanation:

We have

x = 1, f(x) = 1/5

x = 0, f(x) = (1/5)^0 = 1

x = 2, f(x) = (1/5)^2 = 1/25

That means we have

f(x) = (1/5)^x

Answer:

f(x)=[tex]5^{-x}[/tex]

Step-by-step explanation:

Not sure if this is what you're looking for but i hope this helps

Answer:

17

Step-by-step explanation:

11-3x

11-3(-2)

11+6

Hence, 17

Hope it helps!

The evaluation is 17 when h(-2) of h(x) = 11-3x.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.

The given function is

h(x) = 11-3x

when x = -2

h(-2) = 11-3(-2)

       = 11 + 6

        = 17.

Therefore, the h(x) = 11-3x is 17 when x = -2

To learn more about the function;

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Answer:

402.1

hope it helps

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Answer:

37+23

Step-by-step explanation:

I searched it up. someone else asked the exact same question. I hope it's correct though.

Answer:

The larger number is 37 and the smaller number is 14.

Step-by-step explanation:

Let's solve this problem in terms of x and y:

x+y=60

x-y=14

x will be the larger number while y will be the smaller number.

When we add both those equations together, we get 2x=74 since y-y=0. Now we do 74÷2 which equals 37 so x=37. Finally we know that x=37 so our y  must be the remaining part since x+y=60. We simply subtract 37 from 60 and get our smaller number, 23.

I hope this helps :)

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Ratio=12:40[/tex]

Required

Determine the actual distance between x and y

The question is incomplete, as the scale distance between x and y is not given.

To solve this, we make assumptions.

A scale measurement is represented as:

[tex]Ratio = Scale : Actual[/tex]

So, we have:

[tex]Scale : Actual = 12 : 40[/tex]

Express as fraction

[tex]\frac{Actual}{Scale} = \frac{40}{12}[/tex]

Make Actual, the subject

[tex]Actual = \frac{40}{12} * Scale[/tex]

Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:

[tex]Actual = \frac{40}{12} * 60[/tex]

[tex]Actual = 200[/tex]

Answer:

x = [tex]\frac{91}{6}[/tex]

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of 1 chord is equal to the product of the parts of the other chord, that is

6x = 7 × 13 = 91 ( divide both sides by 6 )

x = [tex]\frac{91}{6}[/tex]

Answer:

please where is the above square pyramid

Step-by-step explanation:

please I wish I could help you but your question is in complete

Answer:

5.) 48

6.) 60

It's the other half of the triangle.

Answer:

Step-by-step explanation:

Let

x = first odd number

x + 2 = second odd number

x + 4 = third odd number

Total = 53

53 = x + (x + 2) + (x + 4)

53 = x + x + 2 + x + 4

53 = 3x + 6

53 - 6 = 3x

47 = 3x

x = 47/3

x = 15.7

x + 2 = second odd number

15.7 + 2 = 17.7

Second number = 17.7

Answer:

That's the question

Step-by-step explanation:

Answer:

First, we know that:

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I can't know for sure what is the exact equation, so I will assume two cases.

The first case is if the equation is:

[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]

if we replace cot(x) and csc(x) we get:

[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]

Now let's we can rewrite this as:

[tex]\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}[/tex]

[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]

We can't simplify it more.

Second case:

If the initial equation was

[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]

Then if we replace cot(x) and csc(x)

[tex]\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}[/tex]

This is equal to:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]

And we know that:

sin^2(x) + cos^2(x) = 1

Then:

sin^2(x) - 1 = -cos^2(x)

So we can replace that in our equation:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}[/tex]

Answer:

Steps:

SA = 2(L×W) + 2(H×L) + 2(H×W)

given:

L = 9 cm

W = 4 cm

H = 7 cm

SA = 2(9×4) + 2(7×9) + 2(7×4)

SA = 2×36 + 2×63 + 2×28

SA = 72 + 126 + 56

SA = 254 cm²

Answer:

k=45

equation: y=x+45

Step-by-step explanation:

60=15+k

substract 15 on both sides to get 45=k

Answer:

Using the slope-intercept form, the slope is 23, but you will have to combine 2/3 and x. y= 2x/3+2

Step-by-step explanation:

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Incomplete question. The missing options read;

a. Kate surveys every 8th student from a roster of the choir members.

b. Kate surveys the football team.

c. Kate surveys seventh-grade students.  

d. Kate surveys every 4th student entering the school.

Answer:

d. Kate surveys every 4th student entering the school.

Step-by-step explanation:

Interestingly, after careful examination of all the listed sampling methods, none except option d would best produce a representative sample of the population.

This is because;

in the first, second, and third option, none of them evenly represents the entire school population; meaning it fails to produce a representative sample of the population.

However, if Kate surveys every 4th student entering the school, then chances of getting a representative sample of the entire school population are very likely; as different grade level students would likely be entering into the school when the survey activity is taking place.

Answer:

350 miles in 7 hours

Step-by-step explanation:

If you drive 150 miles in 3 hours, you need to find the "base" meaning how many miles you can go to by 1 hour. To do that you divide 150 with 3 Which equals to 50. So in 1 hour you can travel up to 50 miles. But we need to find how many miles you can go by 7 hours. For that you multiply 50 with 7.

Therefore the answer is 350 miles.

Step-by-step explanation:

the answer is 8 units

I remember I had this

Answer:

84+ z =180

Step-by-step explanation:

42 x 2=84

84+ z =180

See attachment for reply and answer.

Answer:

Variación de temperatura: 310°C

Step-by-step explanation:

La variación de temperatura entre la temperatura más baja conocida en la tierra (-273°C = 273° bajo cero) y la temperatura promedio de la tierra (37°C) será el valor absoluto de la diferencia de estos dos valores, es decir:

Variación de temperatura: |-273°C - 37°C|

Variación de temperatura: |-310°C|

Como el valor absoluto de un número negativo es su valor positivo (|-x| = x)

Answer:

Not enough information to answer this question.

Answer:

154 m^2

Step-by-step explanation:

Area of a circle:  A = (pi)(radius)^2

Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2

Answer:

2/20

Step-by-step explanation:

if you add all of the marbles you will get 20 marbles in total.

Answer:

1312.5 minutes

Step-by-step explanation:

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is $103.72

What are the possible numbers of minutes she has used her phone in a month?

Use m for the number of minutes, and solve your inequality for m.

The term least = ≥ = greater than or equal to

Our inequality equation is given as:

$25 + $0.06 × m ≥ $103.72

25 + 0.06m ≥ 103.72

0.06m ≥ 103.72 - 25

0.06m≥ 78.75

m ≥ 78.75/0.06

m ≥ 1312.5 minutes

The possible number of minutes she used is 1312.5 minutes

Answer:

the slope is 3/2

Step-by-step explanation:

Answer:

1.5

Explanation:

the slope of the line can be calculated by rise ÷ run, or the vertical increase divided by the horizontal increase. we can see that from the point (1,-3) to the point (3,0), the line increases vertically by 3 and horizontally by 2.

since the line is moving upwards, it is positive.

thus, the slope of the line is 3 ÷ 2 = 1.5.

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

260000

Estimate = 300000

Given:

In triangle [tex]ABC, AB=9,BC=4,AC=7[/tex].

To find:

The measure of angle C.

Solution:

We have, [tex]AB=9,BC=4,AC=7[/tex]. It means [tex]c=9,a=4,b=7[/tex].

According to the law of cosines:

[tex]cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}[/tex]

[tex]cos C=\dfrac{16+49-81}{56}[/tex]

[tex]cos C=\dfrac{-16}{56}[/tex]

Taking cos inverse on both sides, we get

[tex]C=cos^{-1} \dfrac{-16}{56}[/tex]

[tex]C=106.60155[/tex]

[tex]C\approx 106.6[/tex]

Therefore, the correct option is C.

i hope this helps and yea i guess