George hiked from the top of a hill to the valley floor. The elevation at the top of the hill is 127 feet above sea level. The valley floor is 52 feet below sea level. George stopped at a rest stop that is at an elevation exactly halfway between the top of the hill and the valley floor. What is the elevation, in feet, of the rest stop? Show your work

Answers

Answer 1

Answer:

The elevation of the rest stop is 37.5 feet above sea level.

Step-by-step explanation:

Given that the elevation at the top of the hill is 127 feet above sea level and The valley floor is 52 feet below sea level.

So, the total length from the top of the hill to the valley floor

[tex]l= 127+52 = 179[/tex] feet

So, length of halfway [tex]= l/2=179/2=89.5[/tex] feet ...(i)

Assuming that the stop for rest, the halfway between the top of the hill and the valley floor, is at x feet above sea level.

So, the length between the stop position and the valley floor [tex]= 52 +x[/tex] feet.

As the stop position is at half-way, so by using equation (i), we have,

[tex]52 + x = 89.5 \\\\\Rightarrow x =89.5-52 \\\\[/tex]

[tex]\Rightarrow x=37.5[/tex] feet

Hence, the elevation of the rest stop is 37.5 feet above sea level.


Related Questions

HELP URGENT PLEASE!!!!!!!!!!!!!!

Answers

Answer:

The supplement of 89° is the angle that when added to 89° forms a straight angle (180° ).

Step-by-step explanation:

What is the value of
[tex]\frac{6x-3y}{xy}[/tex]
when x=6 and y= -4?

Answers

Answer:

 -2

Step-by-step explanation:

please help i have to finish this whole class by 12

Answers

Answer:

I think obesity and increased blood pressure.

Step-by-step explanation:

Answer:

obesity and high blood pressure

Step-by-step explanation:

When you eat a lot and don't exercise, your body stores up the extra carbs as fat. This can lead to weight gain and obesity if unchecked. Then in a worse case scenario, you can end up having high blood pressure.

What is the y-intercept of y = -3x + 6?
A -6
B -3
C. 3
D. 6

Answers

Answer:

6

Step-by-step explanation:

y = mx + b

m is slope

b is y-intercept

y = -3x + 6

Answer:

The y-intercept is D.6.

Step-by-step explanation:

The slope equation is y=mx+b. The b is the y-intercept.

Also you can set x=0, and you can get your y-intercept tht way.

y= -3(0) +6

y=6

A paint color requires the ratio of green paint to yellow paint to be 4 : 9. A container of this paint has 36 pints of yellow paint. How many pints of paint are in the container all together? *

Answers

Answer:

16:36

Step-by-step explanation:

If the ratio is 4:9 and yellow paint is 36 that means you have multiple 9 by a number and that number would be 4 to get 36 and you just multiply 4 by 4 which is 16 and your new ratio will be 16:36

Answer:

16

Step-by-step explanation:

If the ratio is 4:9 and there is 36 pints of yellow then it would be 4:9=x:36. 36 divided by 9 is 4 so you would multiply 4 to 4 and get 16.

1. Carisa is going to play outside with her friends. She is going to randomly pick a ball to play with out of the
garage. There is a soccer ball, a basketball, a baseball, and a football. What is the probability she is going to
pick the basketball or the soccer ball?

Answers

Answer:

50% chance

Step-by-step explanation:

if there are four balls there is a 50% chance she will pick the basket ball or the scoccer ball. Hope this helped.

Juan has 35 pairs of shoes. Every week he gets rid of 3 pairs. After how many weeks
will he have less than 10 pairs of shoes?
I need the inequality

Answers

Answer: w < 9

Step-by-step explanation:

Answer:

9 weeks

Step-by-step explanation:

Divide the total pairs of shoes by how many you lose in a week and it will give you about how many weeks it'll take to get rid of all of the shoes:

35 / 3 = 11.67

Knowing your multiplication table is key for this! You will know that the best answer for this is 9 (and not 8 or 10) because...

3 x 8 = 24

3 x 9 = 27

3 x 10 = 30

Which will give you less than 10 pairs:

35 - 27 = 8

What numbers make the product of 17? None?

Answers

Answer:

there is no Pairs that equal 17

Step-by-step explanation:

Rewrite the expression by collecting like terms.
1/2k - 3/8k

Answers

Answer:

1/8k

Step-by-step explanation:

1/2k= 4/8k

4/8k-3/8k=1/8k

Nineteen more than a number is 33. What is the number? 33 n 19
12

14

16

52

Answers

Answer:

14

Step-by-step explanation:

33-19=14

Answer:

14; B

Step-by-step explanation:

You know that x + 19 = 33.

If you subtract 19 from both sides you get 14.

or you could think of it this way:

if you have 19 things and there is another person that has x amount, but all together you have 33 things/items. Then you have to subtract in order to figure out how many things the other person has.

And you can check your work by just adding 19 and 14 which will indeed give you 33.

Hope this helps you out!

If m1 = 65°, find each measure. Give your reasoning.

its example 2

Answers

Answer:

m2=125°

m3=65°

m4=125°

m5=65°

m6=125°

m7=65°

m8=125°

i know the reason in French if you want

Step-by-step explanation:

m2=180-65=125°

m2 = m4 =125°

m3 =m1 =65°

m3= m5 =65°

m4 =m6=125°

m7=m5 =65°

m8=m6=125°

Please help fast !!!! Five times as much as the quotient of 96 and 3 what is the answer?

Answers

Answer:

hiiii

Step-by-step explanation:

1440

Answer:

1440

Step-by-step explanation:

1 question. A big square is made up of 4 identical small squares the area of each small square is 25 cm A. Find the length of each side of the big square B. What is the perimeter of the big square 2. A rectangular swimming pool measures 15m by 8m it is surrounded by a path that is 2 m wide what is the area of the path?

Answers

Answer:

50cm

200cm

50cm^2

Step-by-step explanation:

The big square is divided into 4 with a side length of 25cm. 2 small square side lengths make up the big squares.

25 * 2 =

50cm

50 + 50 + 50 +50 =

200

15 +2

17

8 + 2

10

17 * 10 = 170

15 * 8 = 120

170-120 = 50

50cm^2

Someone help, please

Answers

Oh uhhh hold on I got the answers

please help i need it

Answers

Answer:

The common factors are:

1, 2

The Greatest Common Factor:

GCF = 2

Step-by-step explanation:

The factors of 24 are:

1, 2, 3, 4, 6, 8, 12, 24

The factors of 34 are:

1, 2, 17, 34

The common factors are:

1, 2

The Greatest Common Factor:

GCF = 2

Is this a Right scalene, right isosceles, Obtuse Scalene, acute isosceles?

Answers

Answer:

right scalene

Step-by-step explanation:

there is a 90 degree angle, a right angle

also, none of the three angles/sides are congruent (the same)

This is a right scalene triangle.



Explanation:

It has the 90° box meaning it’s a right triangle, and also none of the legs are the same length meaning it’s scalene.

1:rosalie is refinishing her basement. 4m by 6m are the dimentions of rosalies rectangular basement.how much tile would she need to cover the floor? 2: if the hight of the basment is 7m,how much wall area is there to paint? first answer is 24m

Answers

Answer:

24m tile for the floor and the 28+28+42+42=140m^2

Step-by-step explanation:

Trust me or else YOU be Major SUS

Also Mark me Brainiest please

what segment is the diameter

Answers

Step-by-step explanation:

The one straight across

•) Which expression has a base with an exponent of 4?
423
Зm4
4.2.y
P+4

Answers

the answer is the second one or 3m^4

Answer:

3m^4

Step-by-step explanation:

Which expression is equivalent to (tangent (StartFraction theta Over 2 EndFraction) ) (negative sine theta)?

– 1 – cos(ϴ)
– 1 + cos(ϴ)
1 + cos(ϴ)
1 – cos(ϴ)

Answers

The given expression is equivalent to (-1 + cosθ). Option B is correct.

What is trigonometry?

The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle.

The given data in the problem is;

[tex]\rightarrow \rm (tan(\frac{\theta}{2} )(-5sin\theta)\\\\ \rightarrow \frac{sin \frac{\theta}{2} }{cos \frac{\theta}{2}} \times - (2 sin n \frac{\theta}{2} \times {cos \frac{\theta}{2})[/tex]

[tex]\rightarrow - (2 sin ^2 \frac{\theta}{2})\\\\ -1+cos \theta[/tex]

The given expression is equivalent to (-1 + cosθ).

Hence,option B is correct.

To learn more about the trigonometry, refer to the link;

https://brainly.com/question/26719838

#SPJ2

Evaluate the expression 4ab, for a =2 and b = 5

Answers

Answer:

40

Step-by-step explanation:

4x2=8

8x5=40

Answer:

40

Step-by-step explanation:

you do this 4(a*b)

ab is 10 so 4*ab=40

hint (if you see two variables without a symbol in between,  multiply)

The graph below shows the price of different numbers of swim bags at a store:


A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 15, 30, 45, 60, and 75. Points are shown on ordered pairs 0, 0 and 2, 15 and 4, 30 and 6, 45 and 8, 60. These points are connected by a line. The label on the x axis is Number of Bags. The title on the y axis is Price in dollars.


Which equation can be used to determine p, the cost of b swim bags? (5 points)


Group of answer choices


p = 7.50 + b


b = 7.50 + p


p = 7.50b


b = 7.50p

Answers

Answer:

the answer is D

Step-by-step explanation:

Solve the value of z: 14/5 z/25 ?

Answers

Answer:

z=70

Step-by-step explanation:

Cross multiply to make it 5z=350, solve for z=70

Answer:

z=70

Step-by-step explanation:

cross multiply to make it 5z=350

Jason runs at a pace of 7 miles per hour and his friend runs at a pace represented by
the equation y = 6x where y is distance in miles and x is time in hours. Who runs
faster?

Answers

Answer:

Jason runs faster then his friend.

Step-by-step explanation:

Jason's speed is represented by the equation y = 7x because he runs 7 miles in an hour. If his friend's speed is represented by y = 6x, then his friend runs a total of 6 miles in an hour.

with a coupon you can get a pair of shoes that normally cost $84 for only $72. what percentage was the discount? round the answer to the nearest percent.​

Answers

Answer:

rounded to the nearest it would be 14%

Step-by-step explanation:

Based on the graph, which inequality is correct for a number that is to the right of -3?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.

a
4 > −3
b
−3 > 4
c
−2 < −3
d
−3 < −6

Answers

Answer:

The inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

Step-by-step explanation:

Given the inequality

[tex]-3\:>\:4[/tex]

-3 can not be greater than 4, so [tex]-3\:>\:4[/tex] is also incorrect.

Given the inequality

[tex]-2\:<\:-3[/tex]

-2 can not be lesser than -3, so [tex]-2\:<\:-3[/tex] is also incorrect.

Given the inequality

[tex]-3\:<\:-6[/tex]

-3 can not be lesser than -6, so [tex]-3\:<\:-6[/tex]  is also incorrect.

Given the inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

I’ll give brainliest hurryyy

Which of the following is a true statement?
1. CM = CD
2. 2(AB) = AM
3. 2(MB) = AB
4. 1/2 (AM) = AB

Answers

Answer:

3. 2(MB) = AB

Step-by-step explanation:

1. This is not true because CM is less than CD.

2. This is not true because 2(AB) is greater than AM.

3. This is true because AB = 2(MB) or 2(AM).

4. This is not true because 1/2(AM) is less than AB.

Let's put some values on number 3 to check if it's, indeed, true.

Let's say AB's distance is 50 meters, then AM and MB should be half of it; that is: AM/MB = 25 meters. Let's check:

2(MB) = AB

2(25) = 50

50 = 50

The "square root of 61" is between which two whole numbers
!!!!!!!!HURRY!!!!!!

Answers

Answer:

7 and 8

Step-by-step explanation:

7^2 is 49 and 8^2 is 64

It’s between the 7 and 8

Which of the following describes how to translate the graph y = lxl to obtain the graph of y=Ix - 1|-1?
a) 1 unit right and 1 unit up
b) 1 unit left and 1 unit up
c) 1 unit left and 1 unit down
d) 1 unit right and 1 unit down​

Answers

Answer:

c.

Step-by-step explanation:

What are the leading coefficient, constant term and degree, if any, of the algebraic expression -7

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the degree of a certain polynomial will be the largest degree of any term.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest exponent of x i.e. 5. Thus, the polynomial has a degree of 5.

We also know that the coefficient of the term with the largest degree of the polynomial is called the leading coefficient of the polynomial.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest degree of 5. Thus, the leading coefficient of the polynomial

will be 7.

We also know that the constant term of a polynomial has the degree zero. i.e. the term which involves no variable.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 3 does not have any variable involved in it. Thus, the constant term of the polynomial

will be 3.

Coming back to the question:

Given the expression

-7

As the expression has only 1 constant term i.e. -7 which does not involve any variable, hence the expression -7 has the degree zero.As the expression does not involve any variable, so it does not have any leading coefficient.As the expression contains only 1 term i.e. -7, and the term does not involve any variable. Thus, the expression has the constant term -7.

Answer:

leading coefficient: -7

constant term: -7

degree: 0

Step-by-step explanation:

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