Se desea sujetar un poste de 20 metros de altura con un cable que parte de la parte superior del mismo hasta el suelo de modo que forme un ángulo de 30 metros.¿Cual es la longitud del cable?

Answer:

y2-y1/x2-x1

Step-by-step explanation:

7-9/-8-8

-2/-16

1/8

Answer:

(5, 3)

Step-by-step explanation:

since you're reflecting across the x axis only the (y) value will change and since the y was originally negative (-3), it now becomes positive but doesn't change in value (3).

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

[tex]\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 = e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k = 0.6621[/tex]

Hence the value of k to the nearest hundredth is 0.66

Answer:

57

Step-by-step explanation:

Answer:

i, ii, iv

Step-by-step explanation:

A Pythagorean triplet satisfies the relation:

[tex]\boxed{a^2+b^2=c^2}[/tex]

[tex]10^2+24^2=26^2\\100+576 = 676\\676 = 676[/tex]

[tex]14^2+48^2=50^2\\196+2304= 2500\\2500= 2500[/tex]

[tex]18^2+79^2=82^2\\324+6241= 6724\\6565 \neq 6724[/tex]

[tex]22^2+120^2=122^2\\484+14400 = 14884 \\14884 = 14884[/tex]

Answer:

9:15 and 18:30 are equivalent. Both ratios are multiplied by 2

5:6 and 20:24 are equivalent. Both ratios are multiplied by 4

Answer:

09:15 and 18:30 and 5:6 and 20:24

Step-by-step explanation:

9+9 = 18 and 15 + 15 = 30. Thats how you get 18:30. Next, 5x4 = 20 and 6x4 = 24. 20:24. Hope this helps you :)

Answer:

The slope is -3/4 y intercept is (0,-5)

Step-by-step explanation:

X             Y

-20/3       0

0             5  

graph ^

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

Answer:

two points : (0,-5)   ( 4 , -8)

Step-by-step explanation: woof

Answer:

Take m 3 cube and find m.

Answer:

12.8

Step-by-step explanation:

1 1/4 cup of milk? if it is- 16 cups / gal

16/1 1/4 = 12.8 servings

Step-by-step explanation:

you may need to show what the graphs look like.

Graph represents -4+3i is shown in the figure

A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related",

Given,

-4+3i

Here -4 is in real axis and 3 is in imaginary axis

Graph is shown in the figure,

Hence, the graph of the -4+3i has been plotted

Learn more about Graph here

https://brainly.com/question/16608196

#SPJ2

Answer:

4

Step-by-step explanation:

combine the ones with the x first: 16/4x+1/4x = 17/4x

combine the ones with the n: -1/5n+1/3n = -3/15n+5/15n = 2/15n

combine: 17/4x+2/15n (17/4 is also equal to 4 1/4)

4

Answer:

Cool where the rest of the problem

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Ella purchased 8 passes to the skating rink for $58.00. Each pass cost the same amount. What was the cost of each pass in dollars and cents?

Answer:

M=1/2 and 1/4

Step-by-step explanation:

I hope this is what you are asking.

Answer:

Look at step-by--step

Step-by-step explanation:

Answer for edge

1. m= 1/2

2. (1,4)

Answer:

The slope is 25

y=mx+b with m representing slope

y=25x+50

Step-by-step explanation:

Answer:

radius is 7yd, height is 4 yd, v=3.14 x 7^2 x 4. The last one, I'm not too sure about but it might be V= 615.44^3

Step-by-step explanation:

                                       Question 5)

Given the points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(5,\:5\right)[/tex]

[tex]m=\frac{5-0}{5-2}[/tex]

[tex]m=\frac{5}{3}[/tex]

Therefore, the slope is:

[tex]m=\frac{5}{3}[/tex]

                                          Question 6)

Given the points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:0\right),\:\left(x_2,\:y_2\right)=\left(-2,\:3\right)[/tex]

[tex]m=\frac{3-0}{-2-\left(-1\right)}[/tex]

[tex]m=-3[/tex]

Therefore, the slope is:

[tex]m=-3[/tex]

                                       Question 7)

Given the points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:3\right)[/tex]

[tex]m=\frac{3-\left(-1\right)}{1-\left(-1\right)}[/tex]

[tex]m=2[/tex]

Therefore, the slope is:

[tex]m=2[/tex]

                                         Question 8)

Given the points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex]

[tex]m=\frac{4-0}{-2-2}[/tex]

[tex]m=-1[/tex]

Therefore, the slope is:

[tex]m=-1[/tex]

                                     Question 9)

Given the points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)[/tex]

[tex]m=\frac{-2-1}{4-0}[/tex]

[tex]m=-\frac{3}{4}[/tex]

Therefore, the slope is:

[tex]m=-\frac{3}{4}[/tex]

                                        Question 10)

Given the points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-3\right)[/tex]

[tex]m=\frac{-3-2}{1-0}[/tex]

[tex]m=-5[/tex]

Therefore, the slope is:

[tex]m=-5[/tex]

Answer:

30.2833 liters.

Step-by-step explanation:

The answer is 30.2833 because 1 gallon is equal to 3.785 and that multiplied by 8 is 30.2833

Answer:

30.28329424 if you want the approximate I believe it'd be 30.3

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

H and J have slopes of 3, not -3, and G has an infinite slope, so it's F

Answer:

2020

Step-by-step explanation:

2020

Answer:$2.50 to clean 6 items

Step-by-step explanation:

$5.00-0.5=$4.5= 2 items

$4.5-0.5=$4= 3 items

$4-0.5=$3.5= 4 items

$3.5-0.5=$3= 5 items

$3-0.5=$2.5= 6 items

Answer:

I think it's y= 7

if you put it into a graph calculator such as desmos it passes straight through (4,7) and has a slope of 0

Hope this helps have a wonderful day :)

Answer:

negative 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A positive slope

Step-by-step explanation:

If sales are increasing then the income should increaseing and positive.

70ft bc 3.5inchs x 20 = 70 and u gotta add the unit, so its 70 ft!

Answer:

non linear. its not a straight line. it has curves and breaks.

Step-by-step explanation:

Answer:

Non linear ofc

Linear = straight line

The line on the graph is not straight

Step-by-step explanation:

Answer: the nth term of the sequence 14, 19, 24, 29 is: 5n+9 so the 100th term of the sequence will be 509.

explanation below:

Step-by-step explanation:

to find the 100th term we will have to find the nth term of the sequence when we have the nth term we need to replace n with the term we need to find and multiply it with the number behind n then subtract or add the number and u will get ur answer.

I hope this helps

Answer:

an=9+5n

a100=509

Step-by-step explanation:

a1=14

19-14=5

24-19=5

29-24=5

d=5

an=a1+(n-1)d

an=14+(n-1)(5)

an=14 +5n -5

an=9+5n

an=a1+(n-1)(d)

a100=14+(100-1)(5)

a100=14+(99)(5)

a100=14+495

a100=509

or

an=9+5n

a100=9+5(100)

a100=9+500

a100=509

answer may be 260 cans if estimate

Step-by-step explanation:

1 shelf = 37 cans

7 shelves = 37× 7

estimate ~ 260 cans