fi you put 200 feet shorter than the height of the lighthouse what would it be ?

Answer:

42.1 degrees

Step-by-step explanation:

- since we have a opposite/hypotenuse ratio, that means we used sin x = o/h

- this means, sin x = 0.67

so, x = [tex]sin^{-1[/tex](0.67)  {sin inverse}

x = 42.06 degrees, i rounded it up to 42.1 but its up to you (or according to the question)

Yes. It's linear. It's one-degree polynomial. You can try plot the graph and It'll give you a line graph.

Answer:

[tex]yes \: it \: is \: lnear \: because \: power \: is \: one[/tex]

Answer:

Step-by-step explanation:

4 + 16x is the answer

Answer:

c = 46 b= 134

Step-by-step explanation:

180-46= 134

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

11. 18x-2=-6

18x=-4

x=-4/18

x=-2/9

12. -24x+4=-6

-24x=-10

x=10/24

x=5/12

Answer:

0.2222222...

Step-by-step explanation:

work is show in the attachment

Answer:

What

Step-by-step explanation:

Answer:

EEEEEEEEEEEEEEEEEEEEE

Answer:

It has a maximum. The zeros are (-3,0) and (1,0)

Step-by-step explanation:

You can use a website called Desmos for a graphing calculator.

* Hope that helped.

Answer:

See below

Step-by-step explanation:

You know that he spent 1/3 of his earnings, and then 1/4. After this, he has $28.90. You can write the equation like this:

1/4(x * 1/3) = $28.90.

If you need to solve it:

1/4 * 1/3x = 28.90

1/12x = 28.90

x = 346.80

Answer:

The slope from point (4,7) and (7,-2) is (9,-3)

Step-by-step explanation:

If you plot both points on a graph and go from the (7,-2) one to the (4,7) you would go up 9 and to the left 3 which is why it is negative. It is rise over run

1 + m/3 < 6

Take 1 off both sides:

m / 3 < 5

Times both sides by 3:

m < 15

Answer:

[tex]y=15x+8[/tex]

Step-by-step explanation:

Step one:

guaranteed base pay=  $80 each day

$15 commission for every computer sale

let the number of computers he sales be x

and let the total amount he makes be y

Step two:

Required

the expression for the total

The total can be modeled after the equation of a line

[tex]y=mx+c[/tex]

[tex]y=15x+8[/tex]

Answer:

357 percent

Step-by-step explanation:

Answer:

162 5th term

Step-by-step explanation:

Answer:

5th term =162

Step-by-step explanation:

It is a geometric progression whose nth term = ar^n-1

Where a = 1st term =2

r=ratio of two term= -6/2=-3

n =nth term

So 5th term= 2x-3^5-1

=2x-3^4

=2x81=162 answer

Answer:

122

Step-by-step explanation:

Answer: Rotation

Step-by-step explanation: The shape is not moving or reflecting in any way. It is just rotating.

9514 1404 393

Answer:

  $82.28

Step-by-step explanation:

Being married puts Celeste on the right half of the table. Four allowances put her in the 5th section down, where 4 is in the left-most column. Her weekly wage of 1298 puts her wage between 923.30 and 2068.20, so on the second line in that section.

The table tells you to subtract $612.37 from Celeste's weekly wage, then multiply the result by 12% to find her withholding. Doing that, we find the withholding to be ...

  (1298.00 -612.37) × 0.12 = $82.28 . . . . rounded up to the nearest cent

The withholding tax applicable to Celeste's earnings is $82.28.

Answer:

supongo que < 3m

Step-by-step explanation:

el túnel tiene forma de arco parabólico, pero no aclara qué coeficiente tiene el término [tex]x^{2}[/tex], ej: si es  -[tex]x^{2}[/tex],  ó    -0.5 [tex]x^{2}[/tex], ó -0.1 [tex]x^{2}[/tex], ...  

Suponiendo que tuviese coeficiente -1, entonces la ecuación del puente es:

f(x) = -[tex]x^{2}[/tex] + 4

Tomamos el valor de f(x=1) = f(x=-1), porque suponiendo que el camión va por el centro del túnel, y teniendo 2m de ancho, queda 1m hacia cada lado:

f(x=1) = f(x=-1)  = 3

Con lo cual si el camión tiene 3m de alto choca con la curva parabólica que forma el túnel.

Answer:

slope:  1

y-intercept: 3

Step-by-step explanation:

The y-intercept is where the line passes through the y axis. It passes through at 3. The slope is 1 because if you apply rise over run it is 1/1 which simplifies to 1.

Hope this helps :)

Answer:

y intercept = 3 slope or m=1

Step-by-step explanation:

y=3 m=1

Answer:

The equation of the  perpendicular line is 2 x + y + 1 =0

Step-by-step explanation:

Step(i) :-

Given equation of the line  2y = x - 18

                                      x - 2y - 18 =0

The equation of the perpendicular line to the given line

                      b x - ay +k=0

                     -2 x - y + k =0  this line is passing through the point ( 0 , -1)

                ⇒  0 -(-1) + k=0

                ⇒ 1+k =0

               ⇒  k = -1

Step(ii):-

The equation of the line is perpendicular to the line

              -2x - y - 1 =0

              2 x + y + 1 =0

Conclusion:-

The equation of the  perpendicular line to the given  line  2 x + y + 1 =0

The required equation of the line [tex]l_1[/tex]  is perpendicular line [tex]l_2[/tex] is 2x + y +1 = 0

Given ,

The equation of the line [tex]l_1[/tex] is Y = [tex]-\frac{1}{2} ( X- 18 )[/tex]

We have to find ,

The equation of line which perpendicular to [tex]l_1[/tex] and intersects the Y-axis at (0, -1).

According to the question,

[tex]Y = \frac{-1}{2} (X - 18)[/tex]

2Y = -1 ( X - 18)

2Y = -X + 18

2Y + x - 18 = 0

Then , the given line is perpendicular to the line [tex]l_1[/tex] to line [tex]l_2[/tex]

b  = 2 , a = 1 ,

bx - ay + k = 0

2x - 1y + k = 0

The intersection point the Y- axis  ( 0 , -1 )  

2(0) - 1(-1) + k = 0

0 + 1 + k = 0

k = -1

Put the value of k in equation and write the equation at Y - axis

-2x -y -1 = 0

The required line is 2x+y+1 = 0

The required equation of the line [tex]l_2[/tex] is perpendicular line [tex]l_1[/tex] is 2x + y +1 = 0 .

For the more information about Equation of the line click the link given below.

https://brainly.com/question/21511618

Answer:

{13.7, 13,7/100 –13,17/100 –13.2}

Step-by-step explanation:

Answer:

D. Scalene

Step-by-step explanation:

scalene triangles have no equal sides and in this there are no equal sides for JKL

acute triangle means all three sides are less than 90 so its not an acute triangle

Answer: d

Step-by-step explanation:

Answer:

0.16

Step-by-step explanation:

$19.75

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Sales Tax:

$1.76

Total Price: 19.75

Step-by-step explanation:

Answer:

1) At least one (the 11th) student is 23 (years old), Must be true

2) Some students are younger than 15 Could be true

Step-by-step explanation:

1) The given parameters are;

The number of student in the class = 21

The median age of the student = 23

The age of the oldest student = 29

Therefore, given that the median age = The age of the (n + 1)/2 th student

Where;

n = The number of student in the class = 21

∴ The median age = The age of the (21 + 1)/2 th = 11 th student, when the age of the students are arranged in increasing order, therefore, we have;

At least one (the 11th) student is 23 (years old), Must be true

2) Given that there are 10 students with ages equal to or lower than the  median age, and the difference between the median age and the age of the oldest student = 29 - 23 = 6 years, we have;

Some students are younger than 15 Could be true

Answer:

140

Step-by-step explanation:

cause alternate interior angles