Choose the equation of the vertical line passing through the point (-2,3) with a slope -6

===========================================

Explanation:

If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.

Side note: this type of triangle is an isosceles right triangle.

---------

You could use the tangent rule to get the same thing

tan(angle) = opposite/adjacent

tan(45) = 100/x

1 = 100/x

1*x = 100

x = 100

In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.

Answer:

[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]

Step-by-step explanation:

The base of the right triangle created is 100 meters.

The angle between the base and the hypotenuse of the right triangle is 45 degrees.

We can use trigonometric functions to solve for the height of the tower.

[tex]\displaystyle \mathrm{tan(\theta) = \frac{opposite }{adjacent} }[/tex]

[tex]\displaystyle \mathrm{tan(45) }= \frac{x }{100}[/tex]

Multiplying both sides by 100.

[tex]\displaystyle \mathrm{100 \cdot tan(45) }= x[/tex]

[tex]\displaystyle \mathrm{100 }= x[/tex]

The height of the tower is 100 meters.

Answer:

8/5

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

(-1) ^3

This is (-1) multiplied together 3 times

(-1) * (-1) * (-1)

-1

The solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4 as per the rule of fraction's operations.

To solve the equation (3/4) - (1/2)n = 5/8 for n, we can follow these steps:

Start by subtracting 3/4 from both sides of the equation:

(3/4) - (1/2)n - 3/4 = 5/8 - 3/4

Simplifying, we have:

(1/2)n = 5/8 - 6/8

Combine the fractions on the right-hand side:

(1/2)n = -1/8

To eliminate the fraction coefficient, multiply both sides by -2:

(-2)(-1/2)n = (-2)(-1/8)

This gives us:

n = 2/8

Simplify the right-hand side:

n = 1/4

Therefore, the solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4.

It's important to note that when solving equations involving fractions, it's crucial to perform the same operation on both sides of the equation to maintain the equality. By isolating the variable n on one side, we were able to find its value.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ6

Answer:

3285

Step-by-step explanation:

5x3144=15720

3990

15720+3990=19710

19710/6=3285

Answer:

C. 47 less than 28

Step-by-step explanation:

A. 47 take away 28

Equivalent to counting 47 and taking away 28

= 47 - 28

= 19

B. 47 minus 28

Simply

47 - 28

= 19

C. 47 less than 28

47 < 28

The less than sign is <

D. 47 subtract 28

= 47 - 28

= 19

Answer:47 less than 28

Step-by-step explanation:the rest are subtracting 28 from 47 , 47 less than 28 is subtracting 47 from 28.

Answer:

8 x2.20 = Answer

Step-by-step explanation:

Answer:

7d+6q=2.20

Step-by-step explanation:

Answer:

Solution : y = ± 1/3x

Step-by-step explanation:

Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.

To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)

a² = 9

a = 3

b² = 81

b = 9

Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.

Answer:

One segment is 8.89 long and the other one is: 11.11 long

Step-by-step explanation:

Recall that the bisector of a triangle divides the opposite side it intersects into two segments that are proportional to the other two sides of the triangle.

In our case the bisector is generated on the angle opposite to the size 20 side (it is the smallest angle in the triangle since it is opposite to the smallest side). This bisector divides the side of length 20 into a segment of length x and a segment of length 20-x.

The proportionality indicated by the bisector theorem gives;

[tex]\frac{20-x}{x} =\frac{30}{24}[/tex]

and we can solve for "x":

[tex]\frac{20-x}{x} =\frac{30}{24}\\24\,(20-x)=30\,x\\480-24\,x=30\,x\\480=54\,x\\x=480/54\\x\approx8.89[/tex]

Then the other segment is:  20 - 8.89 = 11.11

Answer:

slope: -2

y-intercept: 6

Step-by-step explanation:

First, put the equation into slope intercept form.

Slope-intercept form: y = mx + b

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 6x from both sides:

3y + 6x (-6x) = 18 (-6x)

3y = -6x + 18

Next, divide 3 from both sides. Remember to divide from all terms:

(3y)/3 =  (-6x + 18)/3

y = (-6x)/3 + (18)/3

y = -2x + 6

Slope-intercept form: y = -2x + 6

Again, note the slope-intercept form.

> Slope-intercept form: y = mx + b

The variables:

y = (x ,y)

m = slope

x = (x , y)

b = y-intercept

Your answers:

slope: -2

y-intercept: 6

Answer: C

Step-by-step explanation: Absolute value means all the values in the | | are positive so make them positive and you will see it’s 3.5, 4.2, and 9 in order from least to greatest.

Answer:

360

Step-by-step explanation:

Given that Amir wants to create a 4-digit password for his phone.

He wants to choose 4 different numbers between 1 and 5 inclusive.

The total number of 4-digit passwords that Amir can create will be achieved by using permutation

6P4 = 6!/ ( 6 - 4)!

6P4 = (6 × 5 × 4 × 3 × 2!)/2!

6P4 = 6×5×4×3 = 360

Therefore, the total number of 4-digit passwords that Amir can create is 360 different passwords.

Answer:

The odds to get a blackjack (natural) as arrangement: 128 / 2652 = . 0483 = 4.83%. 4.83% is equivalent to about 1 in 21 blackjack hands.

Answer:

True.

Step-by-step explanation:

The sum of two rational numbers is rational.

By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rational numbers produces another rational number.

Answer: the answer is A 0.81

Answer:

n 1 hour Dylan can paint 1/4 of the wall, and Brett can paint 1/3 of the wall.

Therefore together they can paint 1/4+1/3 = 7/12 of wall

Therefore they can paint entire wall in 12/7 hours

Step-by-step explanation:

you ' re welcome grandma loves youu ! < 33 ; )

mark meee branliest pleaseeee ; )

Answer:

15−2(3−2x)=46

Step-by-step explanation:

15−2(3−2x)=46

=======================================

Explanation:

For now, assume the inequality is true

We can cross multiply to get

2/11 < 5/22

2*22 < 11*5

44 < 55

Since the last inequality is true (44 is smaller than 55), this means the first inequality is also true.

------------

We could use a calculator to see that

2/11 = 0.1818 approximately

5/22 = 0.2273 approximately

Since 0.1818 is smaller than 0.2273, this means 2/11 is smaller than 5/22.

In other words, 0.1818 < 0.2273 leads to 2/11 < 5/22

------------

An alternative is to multiply 2/11 by 2/2 to get 4/22

So 2/11 < 5/22 would update to 4/22 < 5/22. Both have the same denominator so we just compare the numerators. Because 4 < 5 is true, this makes 4/22 < 5/22 true, and consequently 2/11 < 5/22 true as well.

Answer:

Step-by-step explanation:

Start at 1 1/3

Add the negative number.

1 1/3 + (-5/6)

Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Move 2/3 to the left.

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left.

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

So, put the point at 3/6 or 1/2.

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Start at 1 1/3

Add the negative number;

1 1/3 + (-5/6)

Here Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Now Move 2/3 to the left;

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left;

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

Thus 1 1/3+(−5/6) = 3/6 = 1/2

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

Learn more about the concept here;

https://brainly.com/question/13665313

#SPJ2

Answer:

I think the answer is 59

Step-by-step explanation:

6p+5

6(9)+5

54+5=59

Answer:

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

decimal repeats without a pattern

Answer:

25 people are not from Germany or France.

Step-by-step explanation:

1. You first want find out what is the number of people from Germany.

So you would find...

2/5 of 75

or

2/5*75= 30 people from Germany

2. Next you want to to find out the number of people from France.

So you would do the following...

75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)

4/9 of 45 to find the number of people from France.

4/9 *45= 20

3. Lastly you need to find the people who are from neither of the countries listed above.

Add 30+20= 50

Then subtract that number from 75.

75-50= 25 people who are from neither France or Germany.

Voila! This is your answer. Hope this helps! :)

Answer:

[tex]-J \leq J[/tex]

Step-by-step explanation:

Given

Negative integer J

Required

Represent as an inequality of its inverse

The question didn't state if it's additive inverse or multiplicative inverse;

Since the question has to do with negation, I'll assume it's an additive inverse

The inverse of -J is +J

To represent as an inequality (less than or equal), we have:

[tex]-J \leq +J[/tex]

Solving further, it gives

[tex]-J \leq J[/tex]

Answer:

270°

Step-by-step explanation:

For example,

(x, y) is in 1st quadrant (x- coordinate is positive, y - coordinate is positive) , then

(y, - x) is in 4th (x- coordinate is positive, y - coordinate is negative).

x and y changed places, so clockwise is 90°,

and counter-clockwise 360-90= 270°.

Answer:

Sola has n-3 eggs

Step-by-step explanation:

Tunde = n

Tunde has 3 more = Sola has 3 less than tunde

= Tunde - 3

= n - 3

Answer:

[tex]\frac{1}{221}[/tex]

Step-by-step explanation:

We have to note that there are 4 kings in a deck of 52 cards.

This makes the probability of choosing a king the first time [tex]\frac{4}{52} = \frac{1}{13}[/tex].

We now know that we can choose another king from the deck, but it's important to note that it's not a [tex]\frac{1}{13}[/tex] chance. We now only have 51 cards in the deck, and 3 kings left. This means the probability of choosing a king now is [tex]\frac{3}{51} = \frac{1}{17}[/tex].

To find the probability of doing both these, we need to multiply the fractions.

[tex]\frac{1}{13}\cdot\frac{1}{17}=\frac{1}{221}[/tex]

Hope this helped!