A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
8 mi
5 mi
2000 ft
Note: Figure is not drawn to scale.
What is the elevation in feet of the road 5 miles from the starting point?
A. 1000
B. 1250
C. 750
D. 1500

A Road Starts At Sea Level And Climbs Steadily, Reaching An Elevation Of 2000 Feet After 8 Miles, As

Answers

Answer 1

Answer:

I think the answer is 1500

Step-by-step explanation:

Answer 2

 Elevation of the road at 5 miles from the starting point is 1250 ft.

Similarity of triangles:    If two triangles are similar, their corresponding sides will be proportional.

Given in the question,

Two triangles formed by a road are ΔADE and ΔABC (As shown in the figure attached).

Since, ∠A ≅ ∠A (Reflexive property)

           ∠AED ≅ ∠ACB (right angles)

            ΔADE ~ ΔABC (By A-A property of similarity)

In these similar triangles, corresponding sides will be proportional.

[tex]\frac{AB}{BC}=\frac{AD}{DE}[/tex]

[tex]\frac{8}{2000}=\frac{5}{DE}[/tex]

[tex]DE=\frac{5\times 2000}{8}[/tex]

      [tex]=1250[/tex] miles

   Therefore, elevation of the road at 5 miles from the starting point will  be 1250 ft.

    Option (B) will be the answer.

Learn more about the similarity of the triangles here,

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A Road Starts At Sea Level And Climbs Steadily, Reaching An Elevation Of 2000 Feet After 8 Miles, As

Related Questions

Helpppppppppppppppppp

Answers

Answer:

43°

Step-by-step explanation:

1. You need to create an equation: 3c+64+5c+82=90°

(Why 90°?)- this is a right triangle as you can see the little square

2. Then combine like terms

8c+146=90°

3. Subtract 146 from both sides

4. 8c=-56

5. Then divide 8 from both sides

C= -7

6. Then plug in -7 in 3c+64 and solve!

7. The final answer is 43

(8x − 5)(2x2 − 5x − 6)

Answers

Answer:

(-5x - 2)(8x - 5)

I hope this helps!

Help me do not understand

Answers

Answer:

The slope is 4/60. Simplified is 1/15

Step-by-step explanation:

Rise over run :)

To find slope, you can use your two points in ysub1-ysub2/xsub1-xsub2

(2,60) and (6,120) are your points

120-60 60
———— = ——— = 15
6-2 4

Therefore, your slope is 15 or 15/1

This means the money earned increases by $15 for each hour worked

Hope this helps! :)

Alyson has 46 beads to make bracelets. Each bracelet has 5 beads.
How many more beads does Alyson need so that all the beads she has
are used?

Answers

Answer:

4

Step-by-step explanation:

46+4 = 50

50/5 = 10

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons. What is the correct portion to solve this problem?

Answers

Answer:

3/4=n/8

Step-by-step explanation:

An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, mix 3 liters of water with 4 lemons to make lemonade.

Let n be the number of liters of water mixed with 8 lemons.

So, an equation is 3/4 = n/8

3/1 = n/2

n=6

Therefore, option A is the correct answer.

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Branist will be rewarded.15% of 290 is what

Answers

Answer:

43.5

Step-by-step explanation:

Hope this helps! Consider Brainiest!

Answer:

43.5

Step-by-step explanation:

15%= 15/100

=0.15 × 290

= 43.5

Find the measure of each angle.
19)
x
80°
A) -115°
C) -80°
B) -100°
D) -170°

Answers

Answer:

Step-by-step explanation:

- 100°

Ina Almeida
Solve each equation.
16x=176

Answers

Answer:

x = 11

Step-by-step explanation:

16x = 176 is the problem

You bring the 16 over the the other side.

The equation changed.

x = 176 ? 16. You don't no the operation.

If the other side is number + variable,

it equals to division cause division is

the reverse operation.

That means, the equation changes again!

x = 176/16 Its easier to reduce cause its a

2+ number one.

176/16 reduced is 11

What civilization did Buddhism begin in?

Answers

Answer:

Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama.

What is the solution for this equation

Answers

Answer:

x={2,3}

Step-by-step explanation:

√5x-6=x

5x-6=x^2

x^2-5x+6=0

x^2-3x-2x+6=0

(x^2-3x)-(2x-6)=0

x(x-3)-2(x-3)=0

(x-2)*(x-3)=0

x-2=0

x=2

x-3=0

x=3

Please help me ASAP!!!!!!!!!

Answers

I’m pretty sure it’s 2/5

1 Given that in the solution of the system below the value of y is -2, what is the value of b?
X - Y = 4
2x + 3y = b

Answers

Answer:

b=6

Step-by-step explanation:

x=6

6+-2=4

2(6)+3(-2)=b

2x6=12

3x-2= -6

12+ -6+=6

b=6

Help plssssssssssssssssss

Answers

Answer:

I believe is 3 4/6

Step-by-step explanation:

22/5  : 6/5

22/5 * 5/6

22/6

11/3

3 4/6

Answer:

11/3 or 3and2/3

Step-by-step explanation:

To change a mixed number into a fraction, you multiply the whole number by the denominator and add it to the numerator.

4 and 2/5 = 22/5

1 and 1/5 = 6/5

To divide fractions, flip one upside down and then multiply top by top, bottom by bottom

(22/5) / (6/5) = (22/5) x (5/6) = (22x5)/(5x6) = 110/20 = 11/3 or 3and2/3

A truck’s position relative to a car’s position is -60 feet. The car and the truck move in the same direction, but the car moves 5 feet per second faster for 8 seconds. What operations could be used to find the truck’s relative position after 8 seconds? Explain

Answers

Answer:

I think its false

Step-by-step explanation:

the car went 8 second faster

The LCM of 4 and 7 is . (1 point) Blank 1:




pls help

Answers

Answer:

28

Step-by-step explanation:

4*7=28

Mark me as brainliest

Answer:

LCM of 4 and 7 = 28

hope you understood!

What does the X in the tall rectangle mean in math?

Answers

Answer:

What does the vertical rectangle with intersecting lines in the shape of an "x" mean? A rectangle which has an X inside means there is a Unicode character or emoji that is meant to show there, but your system doesn't support it.

Step-by-step explanation:

go to google

There are 38 students involved in planning the homecoming parade. Of these students,
15 are boys and 23 are girls. If three members are selected to lead the parade, find the
probability that all three are girls.

Answers

Answer:

60.5% chance

Step-by-step explanation:

it is 23/38, since there are 23 girls and 38 ppl in total

If three members are selected to lead the parade, 23/38 is  the probability that all three are girls.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

The number of students  involved in planning the homecoming parade are thirty eight 38.

Among these thirty eight students, there are fifteen number of boys 15 and Twenty three number of girls (23).

Given a condition that  If three members are selected to lead the parade,

We need to find the probability of all three girls.

The number of students =P(B)=38

The number of girls=P(A)=23

The probability of all three girls is P(A)/P(B)

23/38

Hence 23/38 is the probability that all three are girls.

To learn more on probability click:

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another easy 20 points I don't know how to do this and my teacher can't talk to me right now please help

Answers

Answer:

The answer is attached!

Step-by-step explanation:

But, to find the relative frequencies you will have to find the total number of responses, which is 143.

Then you will go to each box and divide the number given by the total number of response. I will show you each box below:

[tex]\frac{62}{143} = .43\\\\\frac{32}{143} = .22\\\\\frac{29}{143} = .20\\\\\frac{20}{143} = .14[/tex]

(Note here that all these add up to exactly 1 when you don't round them, but I rounded them and they add up to .99)

Hope this helps!!

- Kay :)

5 • (- 10) x = 100 Esse número apagado foi

(A) 2
(B) 20
(C) -5
(D) -257*

Answers

The answers is A
Explanation ;)

Anyone know this question.
I need help quick.
Thanks.​

Answers

what question????????

Select the table that represents a linear function. (Graph them if necessary.)

Answers

Answer:

table B represents the linear equation which is:

[tex]y=-3x+11[/tex]

The graph of the linear function is also attached below.

Step-by-step explanation:

Given the table B values

x               y

0              11

1               8

2               5

3               2

As the equation for the linear function

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

where m is the slope and b is the y-intercept

As the y-intercept can be obtained by setting x=0

From the table, it is clear that when the value of x=0, then the value of

y=11.

so (0, 11) is the y-intercept.

Also taking two points (0, 11) and (1, 8) to find the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:11\right),\:\left(x_2,\:y_2\right)=\left(1,\:8\right)[/tex]

[tex]m=\frac{8-11}{1-0}[/tex]

[tex]m=-3[/tex]

so substituting the value m=-3 and the point (1, 8) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-8=-3\left(x-1\right)[/tex]

[tex]y-8=-3x+3[/tex]

[tex]y=-3x+3+8[/tex]

[tex]y=-3x+11[/tex]

comparing the equation with the slope-intercept form of linear equation

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

[tex]y=-3x+11[/tex]

here

m=slope=-3b=y-intercept=11

Therefore, table B represents the linear equation which is:

[tex]y=-3x+11[/tex]

The graph of the linear function is also attached below.

Answer:

B

Step-by-step explanation:

Ariel has decided to survey a random sample of teenagers in her community about the community recreation center. There are 94 teenagers in her community. Which of the following sample sizes would best represent the preferences of all the teenagers in her community?
A. 13 teenagers

B. 32 teenagers

C. 9 teenagers

D. 26 teenagers

Answers

Answer:

26

Step-by-step explanation:

write 2350 milliion in standard form

Answers

Answer:

2,350,000,000

Step-by-step explanation:

Answer:The number form of 2350 million is 2350000000. It can also be abbreviated as 2350M.

Step-by-step explanation:

Show two different ways to factor −4x −28.

Answers

Step-by-step explanation:

-4x - 28 = -4(x + 7) or 4(-x - 7)

Topic: Algebraic factorization

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Steven earns extra money babysitting he charges $33 for 4 hours and $57.75 for 7 hours entering an equation to represent the relationship let x represent the number of hours Stephen babysits and let y represent the amount he charges the equation is y = ​

Answers

Answer:

y = 8.25x

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

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

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.

We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)

Computing the equation of the line we have:

[tex]\displaystyle y-33=\frac{57.75-33}{7-4}(x-4)[/tex]

Operating:

[tex]\displaystyle y-33=\frac{24.75}{3}(x-4)[/tex]

[tex]y - 33 = 8.25( x - 4 )[/tex]

[tex]y = 8.25x - 33 + 33[/tex]

y = 8.25x

There is a proportional relationship.

The difference is –6i –10 + 4i 3 – 9i 4 – 10i

Answers

Answer:

The answer choice is D.4-10i

Answer:

D 4 - 10i

Step-by-step explanation:



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

25 = 10 + w

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Plz mark as brainliest!!!

Please help me with this homework

Answers

You need to to put every number of x in x of each equation

WILL GIVE EXTRA POINTS
Assignment name: Segment Addition ​

Answers

AC + CF should equal 22

An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8, and 12 hours. Is there a direct variation? Explain.


PLS HELP ME ON THIS QUESTION!!

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

As an airplane travels 780 miles in 4 hours.

We need to determine the table and graph to show the mileage for 2,8 and 12 hours.

as

The airplane covers the distance in 4 hours: 780 miles

so

The airplane covers miles in 1 hour will be: 780/4 = 195 miles

Hence, the table can be calculated as:

Hours                             Distance Mileage in Miles

[tex]2[/tex]                                       [tex]2\times195\:=\:390[/tex] miles

[tex]8[/tex]                                       [tex]8\times195 = 1560[/tex] miles

[tex]12[/tex]                                     [tex]12\times195 = 2340[/tex] miles

It is clear from the table that it is a direct variation as the constant is 195 miles per hour.

Please check the attached graph. The graph clearly indicates a direct variation.

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