One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head. Are the two triangles similar?

Required answer:

Detailed explanation:

To find the slope of the line, given that it passes through two points, use the formula:

[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Where:

Plug in the data:

[tex]\bf{m=\dfrac{6-6}{3-(-4)}=\dfrac{0}{3+4}=\dfrac{0}{7}=\boxed{\bf{0}}[/tex]

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

Given the pair of points: (-5,8) and (-5,-6), plug them into the slope formula:

[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Evaluate:

[tex]\bf{m=\dfrac{-6-8}{-5(-5)}=\dfrac{-14}{-5+5}=\dfrac{-14}{0}=\boxed{\bf{Not\:De fined}}[/tex]

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

Answer:7:15 pm

Step-by-step explanation:

We know he went to bed at 9:00 PM and spent 1 hr and 45 minutes playing games. Start by subtracting one hour away, so we get 8:00 PM. subtract 45 minutes from that and he would have started playing at 7:15 PM.

Answer:The answer is actually 19.6

Step-by-step explanation:

trust me I did the test

unlike others

Answer:

acute

Step-by-step explanation:

acute: degrees are all less than 90*

right angles: have a 90* angle

obtuse angle: has an angle greater than 90*

Answer:

Step-by-step explanation:

Answer: 4.631*10^5

Step-by-step explanation:

463,100=

400,000+63,100=

4*100,000+(63,100/100,000)*100,000=

4*10^5+(631/1000)*10^5=

4*10^5+0.631*10^5=

(4+0.631)*10^5=4.631*10^5

The value of exponents when 463,100 is written in scientific notation is 5.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Scientific notation is a way to represent numbers in exponents form of 10

For example 2.245 × 10³

Given that,

Number of books in library = 463,100

Multiply and divide by 10⁵

⇒ 463,100 × 10⁵/10⁵

⇒ 4.63100 × 10⁵

Hence "The value of exponents when 463,100 is written in scientific notation is 5".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

The profit in 2012 must be 4.5(in hundreds of dollars) to break even.

Profit for a company is defined as the difference between the revenue and cost of a product.

Let us take an example to learn more about profit.

A company sells a product at a price of 'S' dollars and the company spends 'C' dollars to manufacture the product. Here C includes the cost of raw materials, labor cost, transport etc.. Now the net profit for the company for selling one unit of this particular product is given by

Profit=S-C

In the given chart it is shown the profit of the company is given as

2.5,1.75,-3.3 and -1.4 (in thousands of dollars) over 4 years.

Net profit over four years=[tex]2.5+1.75-3.3 -1.4=-0.45[/tex]

So over the past four years the company incurred a loss of

[tex]=0.45\times 1000\\[/tex]

[tex]=450[/tex] dollars

Now the company needs to break even in 2012.

So net profit must be zero over 5 years.

Therefore Profit in 2012=0-(-450)=450 dollars

Profit=4.5 (hundreds of dollars)

To learn more about net Profit:

https://brainly.com/question/14682515

#SPJ9

Answer:14

Step-by-step explanation:

Step-by-step explanation:

B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

Answer:

750

Step-by-step explanation:

3/4 is 75%

Juan did 75% of the 1000 meters meaning he did 750

To get the answer u just do (3/4)*1000 and you get 750

Consider the provided phrase.

Four times the sum of five and a number

Let the number is n and the sum of five and a number can be written as:

[tex]n+5[/tex]

Thus, four times the sum of five and a number can be written as:

[tex]4(n+5)[/tex]

Hence, the required expression is [tex]4(n+5)[/tex].

What is phrase in math?

In mathematics, we may use a phrase to describe an expression. When we describe an expression in words that incorporates a variable, we are doing so by using an algebraic expression. An example of this may be the phrase "greater than" (an expression with a variable).

run the numbers. to conduct a rational analysis of an issue. You can do the math because I was the last person to depart yesterday night and the first person to arrive this morning, and since only the overweight security guy was present. on April 7, 2005, by Dave L. Flag.

Learn more about phrase https://brainly.com/question/7484425

#SPJ9

Answer:

2 groups of 3/8 are in one

Step-by-step explanation:

making up 6/8 because you can add another 3/8 to it.

Greetings from Brasil...

We know that:

48 = 8 · 6
and 8 - 2 = 6, so

48 = 8 · 6 = 8 · (8 - 2)

then

X · (X - 2) = 48

X · (X - 2) = 8 · 6

We can conclude that

Answer:

it's is the way to do it

Step-by-step explanation:

the equation is X-4y-35

The answer to this question is:

The actual distance between the two towns = 130 km

Given that according to  the map scale,

Distance between two towns = 2.6cm

Given that the scale of map =

                                           1cm = 50km

So, we are asked to find the actual distance between them.

For finding the distance between two towns, we have to multiply the distance from the map by the scale of the map.

Distance between two towns * scale of the map

= 2.6 * 50 km

= 130 km

Therefore, actual distance between the two towns = 130 km

Learn more about Map Distance here: https://brainly.com/question/24693076

#SPJ9

Answer:

-6

Step-by-step explanation:

1.2 = 12/10

so

12/10 x (-5) = -60/10 = -6

By evaluating the given linear relation, we conclude that the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

Here we have the linear relation:

9x - 6y = 18

And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.

For example, the first pair has y = 0.

Evaluating that we get:

9x - 6*0 = 18

9x = 18

x = 18/9 = 2

Then we have the pair (2, 0).

The second has x = 0, replacing that we get:

9*0 - 6*y = 18

y = 18/-6 = -3

So we have the pair (0, -3)

The third has x = 1, replacing that:

9*1 - 6y = 18

-6y = 18 - 9 = 9

y = 9/-6 = -3/2

So we have the pair (1, -3/2)

The last value on the table is y = 4, replacing that:

9x - 6*4 = 18

9x - 24 = 18

9x = 18 + 24 = 42

x = 42/9 = 14/3

Then the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

If you want to learn more about linear relations:

https://brainly.com/question/1884491

#SPJ1

Answer:

  (x, y, z) = (-4, -5, 2)

Step-by-step explanation:

You want the solution to the 3×3 system of equations ...

There are many tools available for solving a system of equations. A typical hand-held graphing calculator offers at least two methods. An online graphing calculator solution is shown in the attachment.

For the attached solution, we defined z in terms of x and y using the second equation. This effectively reduces the system to a 2×2 system, which is easily solved. The same "substitution" method can be used when solving the system by hand.

The graph shows the solution to be (x, y, z) = (-4, -5, 2).

Using z = -4x -4y -34 from the second equation, the system reduces to ...

  3x -y -4(-4x -4y -34) = -15

  19x +15y = -151

and

  2x +3y +5(-4x -4y -34) = -13

  -18x -17y = 157

Writing these equations in general form, we have ...

The "cross multiplication method" gives the solution for x and y as ...

  D = (19)(17) -(18)(15) = 53

  x = (15(157) -17(151))/D = -212/53 = -4

  y = (151(18) -157(19))/D = -265/53 = -5

Then z is ...

  z = -4(-4) -4(-5) -34 = 16 +20 -34 = 2

The solution is (x, y, z) = (-4, -5, 2).

__

You can read more about the cross multiplication method here.

https://brainly.com/question/26397343

when it tells you what R is then you show a number line with -4 less then R

Answer:

Infinite number of solutions

No unique solution

Step-by-step explanation:

5x - 2y = 10    (1)

y = 5/2x - 5       (2)

Multiply (2) by 2 to get
2y = 5x - 10  

Rewrite the above equation as 5x - 2y = 10 (3)

Since both equations are the same, we are provided with a single equation in 2 variables there are infinite solutions

you have to get x and y by themselves on their own sides of the equation. What you do too one side you do to the other.

3x+2y=4

-3x -3x

2y=-3x+4

/2 /2

y= -3/2x+2

the Slope is the value by the x and the y is the one without a variable. sometimes equation do not have a y intercept which means they pass through the origin.

in this equation the slope is -3/2 and the y intercept is (0,2).

Answer:

The rightmost figure

Step-by-step explanation:

That is the only figure where there are 4 points of intersection. It is a rhombus inscribed in a square

The slope of the road as reduced fraction  [tex]\frac{1}{20}[/tex] for grade which is 5%.

The slope of a road is defined as the ratio of the vertical height that a road rises to the horizontal distance covered to rise to that height.

While slope is expressed as a fraction grade is the percentage form of that fraction. The slope can also be defined as [tex]tan[/tex] [tex]\theta[/tex] where [tex]\theta[/tex] is the angle of elevation of the road. For example a slope of [tex]\frac{1}{4}[/tex] has a grade of 25%.

Here the given grade is 5%.

Per-cent refers to per one-hundred. So a 5% grade is 5 per one -hundred.

That means if the road is climbing then for every 100 units of horizontal distance covered, the altitude increases by 5 units.

Now slope of the road=vertical distance ÷ horizontal distance

[tex]=\frac{5}{100}\\=\frac{1}{20}[/tex]

Therefore we can say that the slope of the road is [tex]\frac{1}{20}[/tex]

To learn more about grade and slope:

https://brainly.com/question/12216037

#SPJ9

Answer:

2+[tex]x^{2}[/tex]

Step-by-step explanation:

Converted from word to standard form.

She earned a total of:

[tex]5(9.50)+2(11.25)+2(8.75)=\$ 87.50[/tex]

If she pays 15% for the booth space, she keeps 85%.

[tex]87.50(0.85) \approx \boxed{\$ 74.38}[/tex]

The length expression is 6 + w

The given parameters are:

Length =6 more than the width

Width = w

Perimeter = 60

Subsitute Width = w in Length =6 more than the width

This gives

Length =6 more than the w

More than mean +

So, we have

Length = 6 + w

Hence,  the length expression is 6 + w

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

Answer:

-4.

Step-by-step explanation:

When you add two negatives together it stays a negative. So the answer is -4.