This question is from the similarity chapter. It would be really kind of you if you would answer this question.

This Question Is From The Similarity Chapter. It Would Be Really Kind Of You If You Would Answer This

Answers

Answer 1

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]

Plug in known values

[tex]\frac{2}{300}=\frac{11}{AC}[/tex]

Cross-multiply

[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

This Question Is From The Similarity Chapter. It Would Be Really Kind Of You If You Would Answer This

Related Questions

The basketball team did not record how many baskets each player made during the last game. Zulie remembers that she made three
times as many baskets as Aileen. Melody knows that she made four more baskets than Aileen. Zoe thinks that she made 3 fewer baskets than Aileen.
Abigail is sure that she made the same number of baskets as Zoe. Altogether the five players made 82 baskets. How many baskets did each player
make?

Answers

Answer:

There is a mistake in the question. x results in a decimal answer, which is not possible for number of hoops.

Step-by-step explanation:

Aileen: x

Zulie: 3x

Melody: 4 + x

Zoe: x - 3

Abigail: x - 3

82 = (x) + (3x) + (4+x) + (x-3) + (x-3)

Combine Like Terms

x + 3x + x + x + x = 7x

4 - 3 - 3 = -2

7x - 2 = 82

7x = 80

x results in a decimal answer, which is not possible for number of hoops.

In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blue?

Answers

Answer:

5/8

Step-by-step explanation:

SUM OF RATIOS = 5 + 3 = 8

fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8

Pls help me solve pls show how you got the answer

Answers

Answer:

48 length units

Step-by-step explanation:

area of each squre = 9

side length of each square = sqrt(9) = 3

Length of each side of grid = 4*3 = 12

Perimeter of grid = 4 sides = 4*12 = 48 length units

ANSWER:

48length units

hope this helps

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode, she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D(t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds).
Which of the below formulas is the correct function's formula?
A. D(t) = -25t + 160
B. D(t) = 25t + 160
C. D(t) = -25t - 160
D. D(t) = 25t - 160

Answers

Step-by-step explanation:

A. D(t) = -25t + 160

this is the correct answer because if you substitute 3 you get 85

Como se encuentra la mediana?

Answers

Answer:

Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.

Step-by-step explanation:

que tenga un lindo día

Given the following system of equations, what value of x makes the equations true?
x+y= 3.25
x-y= 1.75

Answers

x=2.5!! hope this helps
Answer: x=2.5 , y=0.75

Explanation:

x+y=3.25 => y=3.25-x ——(1)

x-y=1.75 ——(2)

Substitute equation (1) in (2) then,

x-(3.25-x)=1.75

x-3.25+x=1.75

2x-3.25=1.75

2x=1.75+3.25

2x=5

x=5/2=2.5

Substitute vale of x in equation (1) we get

y=3.25-2.5

y=0.75

Therefore, x=2.5 , y=0.75

WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior​

Answers

Answer:

maybe it is corresponding

The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path?

Answers

Answer:

8

Step-by-step explanation:

If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.

Hope that this helps!

From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.


What is coordinate?

Coordinate, is represented as the values on the x-axis and the y-axis of the graph.

Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
                                                    = 8

Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.


Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2

I need help asap pls pls pls...

Answers

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

The answer to this question is C. The surface area of a sphere is S=4pi radius square. Where r=20cm so substitute it into the formula and you will get 1600pi cm^2

NEED HELP! Will give brainliest!!!

Answers

The picture below shows distributive property.
Hope this helps!

1) 2(x + 7)

2x + 14

2) 8 (x - 3)

8x - 24

3) -4 (y - 6)

-4y + 24

4) -5 (2x + 3)

-10x - 15

Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines​

Answers

Answer:[tex]5x+3y+1=0[/tex]

Step-by-step explanation:

Given

The linear equation is [tex]5x+3y-9=0[/tex]

The other linear equation parallel to the given line can be represented by

[tex]5x+3y+c=0[/tex]

Here, c can take any value . for example c=1, line becomes

[tex]\Rightarrow 5x+3y+1=0[/tex]

Help please

Identify the vertex and the y-intercept of the graph of the function.


y = 0.5(x – 3)²

Answers

Answer:

7

Step-by-step explanation:

X=0 because we want y-intercept

Y=0.5(0-3)^2
Y=0.5(9)

Y=4.5

I hope that answers your question and I’m really sorry if the answer turned out to be wrong but i tried my best!!

Simplify the expression ( a^3/2)^3

Answers

Answer:

(a^9/8)

Step-by-step explanation:

(a/b)^n = (a^n/b^n)

Please help!! I'm in summer school and I can't fail

Answers

Answer: D, (1,3)

Hope this helped

Answer:

b. (0, 1.5)

Step-by-step explanation:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(3,7)\\(-3,-4)\\3+(-3)/2 , 7+(-4)/2\\(0, 1.5)[/tex]

Kara and Karl love steak, fried chicken, hamburgers, mashed potatoes, and french fries. They like green beans and peas. How many different meals including a meat, potatoes and a green vegetable can they make from these choices? 8 meals 16 meals a. C. b. 12 meals d. 24 meals​

Answers

Answer:

steak, chicken, and hamburger are meats. 3 meats.

The French fries and mashed potatoes are potatoes. 2 Potatoes.

And Green beans and peas are green vegetables. 2 Vegetables.

I think we just do 3 x 2 x 2 = 12 Meals.

hope that helps bby<3

If AC = 28 meters and BC = 21 meters, what is the measure of angle C?*
A
B В
41.41
0 ОО
48.59
none of the other choices
0.99
Ο Ο
36.87

Answers

First one answer A/ B B

What is the solution to this system?
x - y = 6
y = 2x - 5

Answers

15 I think not sure but aye

Pls help I don’t know how to do this

Answers

The right answer is a i think i don't known step by step

Step-by-step explanation:

a

a

Any help on this please ?

Answers

Answer:

x=35

Step-by-step explanation:

because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.

the equation would be:

180=x+14 +4x -9

add the like terms

180=5x =5

then subtract 5 from both sides

175=5x

then divide five from both sides

x=35


I will give BRAINLIEST to the correct answer
Find the measure of angle 3

Answers

Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?

Answers

Answer:

After the third bounce the ball reaches a height of less than 50cm.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:

[tex]A_n = A_0(r)^{n}[/tex]

In which [tex]A_0[/tex] is the first term and r is the common ratio.

A ball is dropped from a height of 5m.

This means that [tex]A_0 = 5[/tex]

After each bounce it rises to 35% of its previous height.

This means that [tex]r = 0.35[/tex]

Thus

[tex]A_n = A_0(r)^{n}[/tex]

[tex]A_n = 5(0.35)^{n}[/tex]

After how many bounces does the ball reach a Height of less than 50cm?

50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus

[tex]A_n = 5(0.35)^{n}[/tex]

[tex]0.5 = 5(0.35)^{n}[/tex]

[tex](0.35)^n = \frac{0.5}{5}[/tex]

[tex](0.35)^n = 0.1[/tex]

[tex]\log{(0.35)^n} = \log{0.1}[/tex]

[tex]n\log{0.35} = \log{0.1}[/tex]

[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]

[tex]n = 2.19[/tex]

Rounding up:

After the third bounce the ball reaches a height of less than 50cm.

Sean and sarah spend $70 a month eating out how much money would they have after 15 years if they invested the money instead at 4 percent compounded monthly round your answer to the nearest hundredth

Answers

Answer:

Future Value= $17,170.12

Step-by-step explanation:

Giving the following information:

Monthly deposit (A)= $70

Interest rate (i)= 0.04/12= 0.0033

Number of periods (n)= 15*12= 180 months

To calculate the future value (amount saved), we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {70*[(1.0033^180) - 1]} / 0.0033

FV= $17,170.12

A birthday hat in the shape of a cone has a diameter of 28cm and a height of 48cm. The radius is?

Answers

Answer:

14

Step-by-step explanation:

the radius is always half the diameter.

but i could be wrong ,beacause im not sure why they gave you the height.

Answer:

Radius is 14 cm

Step-by-step explanation:

To find the radius, you divide the diametre by 2

28 ÷ 2 = 14

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

Have a great summer :)

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready function tomorrow the situation. Determine the percent increase of the population of most of each month.

Answers

Answer:

[tex]y=120 * 1.1^x[/tex] --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

[tex]x \to months[/tex]

[tex]y \to mice[/tex]

So, we have:

[tex](x_1,y_1) = (0,120)[/tex] --- Monday

[tex](x_2,y_2) = (1,132)[/tex] --- One month later

Required

The function

The function is represented as:

[tex]y=ab^x[/tex]

In [tex](x_1,y_1) = (0,120)[/tex], we have:

[tex]120 = a * b^0[/tex]

[tex]120 = a * 1[/tex]

[tex]120 = a[/tex]

[tex]a=120[/tex]

In [tex](x_2,y_2) = (1,132)[/tex], we have:

[tex]132 = a * b^1[/tex]

[tex]132 = a * b[/tex]

Substitute: [tex]a=120[/tex]

[tex]132 = 120 * b[/tex]

Solve for b

[tex]b = \frac{132}{120}[/tex]

[tex]b = 1.1[/tex]

So, the function is:

[tex]y=ab^x[/tex]

[tex]y=120 * 1.1^x[/tex]

To calculate the monthly rate (r), we have:

[tex]y =a(1 + r)^x[/tex]

Compare to: [tex]y =ab^x[/tex]

[tex]1 + r = b[/tex]

Make r the subject

[tex]r = b-1[/tex]

Substitute [tex]b = 1.1[/tex]

[tex]r = 1.1-1[/tex]

[tex]r = 0.1[/tex]

Express as percentage

[tex]r = 0.1*100\%[/tex]

[tex]r = 10\%[/tex]

need an answer asap will give the first answer brainliest

Answers

Answer:

The answer would be the first one.

m = -3n

Step-by-step explanation:

Answer:

m = -3n

Step-by-step explanation:

-6 = (-3)2  True

-12 = (-3)4  True

-18 = (-3)6  True

hello i give points!



Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.

Answers

Answer:

i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest

the data will also wont have a major difference in them

hope this helps<3

An icicle is 12 inches long and melts at a rate of 1/4 inch per hour

Answers

Answer:

It will take 48 hours for the entire icicle to melt.

Step-by-step explanation:

12 divided by 1/4 = 48

The linear equation to model the situation is f(x) = -1/4x + 12

Complete question

Write a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.

How to determine the linear equation?

The given parameters are:

Length = 12 inchesRate = 1/4 inch per hour

The above means that:

Y-intercept (c) = 12Slope (m) = -1/4

A linear equation is represented as:

f(x) = mx + c

Where f(x) represents the function and x represents the number of hours.

So, we have:

f(x) = -1/4x + 12

Hence, the linear equation to model the scenario is f(x) = -1/4x + 12

Read more about rate at:

https://brainly.com/question/4931057

#SPJ6

Brainliest goes to whoever answers correctly

Answers

Answer:

1/9

Step-by-step explanation:

6/9 is 1/9th bigger than 5/9

Answer:

B

Step-by-step explanation:

6/9-5/9=1/9

Jaclyn used the slope formula to find the slope of the line through the points given in the table.

A 2-column table with 2 rows. Column 1 is labeled x with entries 0, negative 3. Column 2 is labeled y with entries 4, 0.

1. Point 1: (0, 4); Point 2: (negative 3, 0). 2. Slope = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction = StartFraction 0 minus 4 Over negative 3 minus 0 EndFraction = StartFraction negative 4 Over negative 3 EndFraction. 3. Slope = four-thirds.

In which step did Jaclyn make an error?

Answers

Answer: She didn't make an error.

Step-by-step explanation:

She just didn't I got it right.

Answer:

answer is D

Step-by-step explanation:

Function p represents the number of people in the library on a Monday as a function of hours since the library opened.
Here is the graph of function p

Answers

Answer:

C (3rd choice)

Step-by-step explanation:

Domain (x-values):

We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.

Range (y-values):

We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.

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