URGENT PLS HELP: If the transit telescope is 4.5 feet above the ground at the first location during this reading, how wide is the trench? (ANSWER FOR 30 POINTS)

URGENT PLS HELP: If The Transit Telescope Is 4.5 Feet Above The Ground At The First Location During This

Answers

Answer 1

Answer:

37.45'

Step-by-step explanation:

The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then

tan( 31°) = Height / base, with the base representing the width of the trench

base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench


Related Questions

How much sand do you need to add to 3.2m^3 of soil with 40% sand in order to make a soil with 60% sand

Answers

Answer:

[tex]1.6m^3[/tex] sand is to be added to make sand percentage [tex]60\%[/tex]

Step-by-step explanation:

From the question we are told that:

Total soil [tex]N=3.2m^3[/tex]

Initial sand percentage [tex]S_1=40\%[/tex]

Final sand percentage[tex]s_2=60\%[/tex]

Generally the sand and other particles division is mathematically given by

[tex]40\% of 3,2=1.28[/tex]

and

[tex]60\% of 3.2=1.92[/tex]

Generally  what will make 60\% of 3.2 40\% is mathematically given by

[tex]x=1.92*0.4\\x=4.8[/tex]

Generally the sand to be added is mathematically given by

[tex]4.8sand-3.2sand =1.6m^3[/tex]

Therefore

[tex]1.6m^3[/tex] sand is to be added to make sand percentage [tex]60\%[/tex]

Mr. K was able to spot quite a few window washers on the skyscrapers there. He asked them how long it took to wash windows on such a building. They said that each person could wash 50 windows in 1 hour.
(How long would it take the 3 workers to wash all 1000 windows on one of the skyscrapers?)

Answers

Answer:

6.7 hours

Step-by-step explanation:

If one can do 50 then three can do 150.

So 1000÷150=6.66666666666

Hope this helps

Answer this and i will thank you

Answers

Answer:

Answer what? a question needs to be posted.

Step-by-step explanation:

*answer will be updated*

Answer:

24 si efil rewsna eht

Step-by-step explanation:

The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything", calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no one knows what the question is.

Divisors: 1, 2, 3, 6, 7, 14, 21, 42

Ordinal: 42nd; (forty-second)

Cardinal: forty-two

Binary: 1010102


One number is 2 times the other number. The sum of the numbers is
150. Find the numbers.

Answers

Answer:

x = 50; 2x = 100

Step-by-step explanation:

x + 2x = 150

3x = 150

x = 50

2x = 2(50)

2x = 100

I don't get it please help it's for math ASAP please help

Answers

X>6 it makes me type longer but yea hope it helps

Throwback
THURSDAY
-8 + (-1)=
2 - 7 =
(-8)(-2) =
-42= -7 =

Answers

-8+ -1 equals -9
2-7= -5
-8 x -2 equals 16

Answer:

-8+(-1)=-9

2-7=-5

(-8)(-2)=16

-42=-7=false

Step-by-step explanation:

PLZ, I WILL GIVE BRAINLIEST IF YOU HELPPP!

Answers

1.) 1, 2, 3, 5, 7

2.) 11, 13, 17, 19

I got the lateral I just need help with the total surface area

Answers

Answer:probably just mutiply all the numbers!

Step-by-step explanation:

Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger that was 1/2 full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was filled 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.

Answers

Answer:

The person with the most water left is;

Tia

Step-by-step explanation:

The parameters given in the question are;

The volume of water Sherry and Karl both started their hike with = 1 small bottle each

The volume of water Tia started her hike with = 1/2 of a larger bottle of water

The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water

The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water

The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water

Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl  respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;

The volume water with Tia at the end of the hike = 1/2·x

The volume water with Karl at the end of the hike = 1/2·y

The volume water with Tia at the end of the hike = 1/2·Z

Given;

Z > x

Z > y

∴ 1/2·Z > 1/2·x

1/2·Z > 1/3·y

Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.

Find the volume of this cylinder.
Round to the nearest tenth.
10in
2in
[?] in3

Answers

Volume = rule area × height

__________________________

The rule is circle and the area of the circle finds using following formula :

Circle area = pi × radius^2

Circle area = 3.14 × 1^2

Circle area = 3.14

___________________________

Volume = 3.14 × 10

Volume = 31.4 in^3

The volume of cylinder having diameter 1 inches and height be 10 inches be 31.4 cubic inches.

What is volume?

Volume is amount of substance a container can hold in its capacity. Volume of cylinder is π[tex]r^{2} h[/tex] in which r is radius and h is height of cylinder.

How to calculate volume?

We have been given that the diameter of cylinder be 2 inches and height be 10 inches.We have to find the volume of cylinder.

Volume of cylinder=π[tex]r^{2} h[/tex]

Radius=2/2

=1 inch

Now put the value of radius and height in the formula of volume.

Volume=3.14*1*10

=31.4 cubic inches.

Hence the volume of cylinder is 31.4 inches.

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You spin the spinner twice,
What is the probability of landing on an 8 and then landing on an 8?

Answers

Answer:

if this is an ixl pls send me an screen shot of it

Step-by-step explanation:

Answer: if you could post a picture of what the spinner looks like I’m sure I could answer the question

Step-by-step explanation:

Directions: The triangles below are similar. Solve for X. Please show work

Answers

Answer:

x = 20

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

x/35 = 24/42

x = (35 * 24)/42

x = 20

Question 3 V (t) 30(1.05), where t is the time, in years, since opening the account Connie deposits $30 into an account. The value of the account, in dollars, can be modeled as To the nearest cent, what is the average rate of change in the value of the account for the first 3 years? A $0.63/year B $1.58/year С $3.15/year thing D $4.73/year​

Answers

Answer:

b

Step-by-step explanation:

The average rate of change in the value of the account for the first 3 years is,  $3.15/year. So Option C  is correct.

What is the rate?

Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.

So formula for the rate is,

m = change in one quantity/change in another quantity = Δy/Δx

The average rate of change in the value of the account for the first 3 years can be calculated as follows:

Let t = 0 be the time when the account is opened,

and t = 3 be the end of the third year.

The value of the account at t = 0 is V(0) = 30,

and the value of the account at t = 3 is

V(3) = 30(1.05)³

The average rate of change in the value of the account over the first 3 years is given by the formula:

⇒ (V(3) - V(0)) / (3 - 0)

⇒ (30(1.05)³ - 30) / 3

⇒  $3.15/year

Hence, the average rate of change in the value of the account over the first 3 years is approximately $3.15/year

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equivalent expression 7s+8t+10s+12t

Answers

Answer:

17s+20t

Step-by-step explanation:

HELP DUE IN 10 MINS!

m∠WXZ =??

Answers

Ur answer is 64°

180-(90+26)= 64

I'll give you a brainiest, but please help me with this question. I need help.

Answers

Hope it helps you!.......

Answer:

Angle B would be 56 degrees.

A triangle on a coordinate plane is translated according to the rule T8, 4(x, y). Which is another way to write this rule?
(x, y) - (x + 4y - 8)
O (x, y) - (x-4, 7-8)
O (x, y) — (X-8, y + 4)
O(x, y) - (x + 8, y–4)​

Answers

Answer:

C) (x,y)->(x-8,y+4)

Step-by-step explanation:

Just did it on edge 2021

The translation rule will be (x+8 , y+4).

What is Transformation?

A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

When we scale a triangle by some factor, neither its shape nor size change. The image corresponds to the previous image.

The horizontal translation of x coordinate is either horizontally right or horizontally left depending on the positive or negative value of x - coordinate.

Depending on the positive or negative value of the y - coordinate, the y coordinate is translated vertically up or down.

Here (8 ,4) shows there is shifting Horizontally right (x+ 8) and there is shifting Vertically up (y + 4).

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please help 3/4x 2 1/7

Answers

Answer:

1 17/28 or 1.6071428571429 round: 1.61 in decimal form.

A bag contains 55 coins of $1 and ¢50 denominations. Find the number of coins of each denomination, if the total amount in the bag is $40.

Answers

Answer:

Number of $1 coins are 25 and number of 50 cent coins are 30.

Step-by-step explanation:

Let's set up the equations.

Let there are x number of $1 coins

There are y number of 50 cent coins

So, x+y =55

1 x+0.50 y =40

Solve the equations for x and y.

Solve the first equation for y.

y=55-x

Substitute y as 55-x into the second equation.

1 x+0.50(55-x)=40

Solve the equation for 'x'.

Distribute the 0.50 to get rid the ( ).

1 x+27.5-0.50 x= 40

Combine like terms

0.50 x +27.5=40

Subtract both sides 27.5

0.50 x =12.5

Divide both sides by 0.50

x=25

Now, plug in x as 25

y=55-25

y=30

So, number of $1 coins are 25 and number of 50 cent coins are 30.

Sandra is 30 years old and deciding which investment she would like to make. She has $2,500 to invest.

Option A: Invest $2,500 and earn 3% of its value each year.

Option B: Invest $2,500 and earn $200 per year.

How many years would it be when both investments would yield the same amount of earnings?

Group of answer choices
??? which one

Answers

12.596 I hope this helps!!

I need help solve this problem please

Answers

Answer:

X=5

15x=75

Step-by-step explanation:

Item 7
How many grams are there in 12 kilograms?

Answers

Answer:

12,000

Step-by-step explanation:

Answer:

12000

Step-by-step explanation:

(1 kilogram = 1000 grams)

12 kilograms = 12000 gramsI hope this was helpful! =)

The temperature today will be atleast 10F | on a graph and inequality

Answers

Answer:

Temperature => 10F

Step-by-step explanation:

Mark brainliest if this helped!

Mark brainliest if this helped!

Nolan reports the weather for TV 12's popular afternoon news show. Last month, he tracked
the noon temperature each day in the two largest cities in the area, Hooverville and Deeson
City.
Which city had a lower median temperature?
Hooverville
Deeson City

Answers

Answer:

Hooverville

Step-by-step explanation:

The Hooverville has lower median temperature.

What is Box and Whisker Plot?

A box and whisker plot is a method for abstracting a set of estimated data using an interval scale. Another name for it is simply a box plot. Most of the time, these are used to interpret data. It is one kind of graphical method that shows how the data in the dataset changes. The histogram can also be used to show the data. However, the histogram provides an adequate display. Since multiple sets of data can be displayed in the same graph, a box and whisker diagram will provide additional information, making it superior to a histogram.

Given Box and Whisker Plot of two cities which show's the  noon temperature each day,

From the graph Median of Hooverville is 36 and

median of Deeson City is 38

we can say that Hooverville has lower median temperature.

Hence the lower median temperature is of Hooverville.

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I need help on this I'm super confused.

Answers

Answer:

a) 7x-2

b) 28x-8

c) length of a side: 26 in, perimeter: 104 in, area: 676 square inches

i’m not quite sure abt c but i hope this helps :)

Please Help!!!
The 2 questions are attached below.

Answers

Answer:

C. 80

Step-by-step explanation:

Hope This Helps! : )

I don't understand this my teacher is not texting me back

Answers

Answer:

Please find below. Fill in the table with the values of y given below.

Step-by-step explanation:

For question 5, you should substitute the different values of x into the equation y =x^2 +4

So, when

x = -3, y = (-3)^2 +4 = 9+4 = 13

x = -2, y = (-2)^2 +4 = 4+4 = 8

x = -1, y = (-1)^2 + 4 = 1+4 = 5

x = 0, y = 0^2 + 4 = 4

x = 1, y = 1^2 +4 = 1+4 = 5

x = 2, y = 2^2 +4 = 8

x = 3, y = 3^2 + 4 = 13

x = 4, y = 4^2 + 4 = 20

For question 6, you need to find the nth term or a formula of y in terms of x.

For this, find the common difference between each of the consecutive values of y.

This is 5

So, the start if our equation is going to be ‘y = 5x’

Now, to find the ‘+c’ part, can be calculated by substituting the value of y when x = 1 into the y = 5x

So,

y = 5x + c

13 = 5 + c

Rearrange the find that c = 8

Therefore, the nth term formula = 5x + 8

Hope this helps

it's all on the picture ​

Answers

The variable in the equation is the letter “d”
d is the variable because a variable is a letter used to represent the unknown number. So d is the variable.

Answer:

The variable is D

Step-by-step explanation:

a variable is an unknown quantity among an equation

Can someone please help?

Answers

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Thank y’all for help

Answers

Answer:

Ask a question so I can answer it -_-

Step-by-step explanation:

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