To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.

Answers

Answer 1

The length of PR to the nearest foot is 198.94 feet

Find the diagram attached

From the diagram, the triangle PRE and POC are similar triangles.

Let PR = x

Based on similarity theorem;

PR/RE = PR+RO/OC

x/135 = (x+140)/230

Cross multiply

230x = 135(x+ 140)

230x = 135x + 18,900

230x - 135x = 18,900

95x = 18900

x =18900/95

x = 198.94

Hence the length of PR to the nearest foot is 198.94 feet

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To Indirectly Measure The Distance Across A River, Nolan Stands On One Side Of The River And Uses Sight-lines

Related Questions

6 383 to the nearest hundred ?

Answers

6,400 is the nearest hundred

Factorise; 2 cubed multilpied by 2 squared

Answers

Hello Harry4Hudson!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Factorise; 2 cubed multilpied by 2 squared.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Firstly let's change the statement to a numerical expression.

[tex] \cdot\sf \: 2 \: cubed = 2 ^{3} \\ \cdot\sf \: multiplied \: by = \times \\\cdot\sf \: 2 \: squared = 2 ^{2} \\ \\ \sf \: So, \: the \: expression \: becomes \rightarrow \boxed{\tt {2}^{3} \times {2}^{2} }[/tex]

__________________

[tex]2 ^{3} \times 2^{2} [/tex]

To solve this, we must know that while multiplying exponents which have a same base we must take their base as common & add the exponents.

[tex]2 ^{3} \times {2}^{2} \\ = (2) ^{3 + 2} \\ = \underline{\underline{ 2 ^{5} }}[/tex]

We got 2⁵. Now, multiply 2 five times to get the answer.

[tex] {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = \huge \boxed{\boxed{\bf 32}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Hey there!

2 cube multiplied by 2 squared

= 2³ × 2²

= (2 × 2 × 2) × (2 × 2)

= 8 × 4

= 32.

Hope it helps ya!

Factor the algebraic expression.



​ 7x+637x+63

Answers

Answer: 7 ( 92 x + 9 )

You have to find the greatest common number

First add the like terms (x) 7x+637x= 644

Then you know that 7 is the greatest common faxtor for 644 and 63

So that is how you get your answer 7(92x+9)

Step-by-step explanation:

I hope this helps!

If you are having a tough time with math you can use:

khan academy

math nation

7(92x + 9)

Add the the common terms together; 7x + 647, which equals 644x.

Then find the greatest common factor between 644 and 63; 7.

Then your factor it the left over; 7(92x + 9)

What is the value of 5³ ?

Answers

Answer:

125

Step-by-step explanation:

5^3 = 5 x 5 x 5

5 x 5 x 5 = 25 x 5

25 x 5 = 125

answer:

125

step by step explaination:

5×5×5 = 125

What is the slope of the line on the graph?

Enter your answer in the box.

Answers

Count from the point in the left to the point on the right.
Slope = rise/run
You go down 4 (rise is -4) and right 12 (run is 12)
Slope = -4/12 = -1/3

7. A herd of 100 caribou was moved to a
new location. The population increased
by 10% the first year and then increased
by 20% the second year.
a) Find the population after the second
year.
b) Explain why there was not a 30%
increase in population over the two years.

Answers

Answer:

The population would probably be 40%

Step-by-step explanation:

10 x 2 = 20

20 x 2 = 40

So, instead of increasing by 10% every year, the population from the previous year just doubles. Sorry if I'm wrong!

What is 26-(-35)? Explain your reasoning

Answers

[tex]26 - ( - 35) \\ = 26 + 35 \\ = 61[/tex]

Reasoning :-

- & - together will give you +

Hey there!

GUIDES FOR YOU TO FOLLOW FOR FUTURE PURPOSES.

Guide #1:

• Double [negatives] equals _positive_

• Double [positives] equals _positive_

• 1 [negative] & 1 [positive] equal(s) _negative_

• 1 [positive] & 1 [negative] equal(s) _negative_

Guide #2:

• Positives are on the RIGHT side of the number line

• Negatives are on the LEFT side of the number line

Guide #3:

• Negatives are BELOW 0

• Positives are ABOVE 0

Guide #4:

• When you’re only working with negatives you go down certain spaces because they are below 0

• When you’re only working with positives you too up certain spaces because they are above zero

And etc.

SOLVING FOR YOUR ANSWER

26 - (-35)

= 26 + 35

= 61

Therefore, your answer should be: 61

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

HELP MEE I HAVE TO TURN IT IN TOMORROW

Answers

the answer would be 80

I need help to fill in the blank for how to solve the equations with the brackets.

“When you see the brackets inside an equation, you’ll need to get rid of the brackets (to access the terms inside), which means you’ll need to ______________ the equation.”

What word is missing that goes with the math statement?

Answers

Answer:

take out or aluminate i think

Step-by-step explanation:

ASAP HELP 100 POINTS a segment with end point A(3,1)and B(-1,-1) is rotated 90drgrees about the orgen what are the dcoordinates of a prime and b prime

Answers

Answer:

second one

Step-by-step explanation:

View the attachment

Option B is correct

Answer Fast Plsssss please hellpppp me

Answers

Answer:

y = 2/3x

Step-by-step explanation:

Answer:

y=2/3m

Step-by-step explanation:

the slope, m, equals rise over run

the slope rises 2, then runs 3, making 2/3

Hope this helps!

The Moon is about 240,000, or x _____ 10 miles from earth

Answers

Step-by-step explanation:

240,000 = 24 x 10^4

24 followed by 4 zeros = 24 x 104

Just make the number of zeroes be the exponent for 10

24 = 24 x 10^0

240 = 24 x 10^1

2400 = 24 x 10^2

24000 = 24 x 10^3

240,000 = 24 x 10^4 miles

Match the expression with its name. 3x + 7

Answers

Answer:

It's a linear expression.

Answer:

linear binomial

Step-by-step explanation:

I got it right in Grandpoint.

A number cube is rolled.
What is P(2)
Enter the answer as a fraction, decimal, and percent in the boxes. Round each decimal and percent to the nearest hundredth.
At

Answers

Answer:

Since there are 6 sides to a cube, the probability of rolling anything but 5 is five out of six.

Fraction is 5/6

To find the decimal, divide 5 by 6 and round to the nearest hundredth

Decimal is 0.83

Then to find the percent you slide the decimal over two spaces.

Percent is 83%

The ratio is 5:6\

Answer:

Below.

Step-by-step explanation:

As there are a total of 6 numbers on a cube:

p(2) = 1/6  or 0.17 or 16.67%.

Can someone pls help me

Answers

Since it is a right triangle, you can use the Pythagorean Theorem to find the length of the missing side.
a^2 + b^2 = c^2
(a and b are the legs, c is the hypotenuse)
In this triangle, a=21 and c=25. Find b.
21^2 + b^2 = 25^2
441 + b^2 = 625
b^2 = 184
b = 13.6

The perimeter of an equilateral triangle is 12 inches. After a dilation, the
perimeter of the image is 42 inches. What is the scale factor of the dilation?

Answers

Based on the change in the perimeter, the scale factor of the dilation is 3.5.

The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.

This dilation can be found as:

= Increased perimeter / Original perimeter

Solving for it would give:

= 42 / 12

= 3.5

In conclusion, the scale factor of the dilation is 3.5.

Find out more at https://brainly.com/question/8765466.

Your mother bought 2 kilograms of chicken and 3 kilograms of pork to consume in week. How many kilograms of chicken and pork did your family consume in a month?​

Answers

Answer:

20?.... seems right to me.

Step-by-step explanation:

9514 1404 393

Answer:

  20 kg

Step-by-step explanation:

The mass of the chicken and pork for 1 week is (2 kg) +(3 kg) = 5 kg.

Normally, we think of a month as 4 weeks.

  (4 wk)(5 kg/wk) = 20 kg

If pork and chicken are consumed at the same rate for 4 weeks, the family will consume 20 kg of pork and chicken.

_____

If we consider a year to be 52 weeks (it is actually 1 or 2 days longer), then the number of weeks in an average month is ...

  52/12 = 4 1/3 weeks/month

Multiplying that value by 5 kg/week will give 21 2/3 kg per month.

__

The answer depends on the assumption you make about weeks in a month.

Please Help Me! Look at the Image!

Answers

Answer:

y=-2x+1

Step-by-step explanation:

Just look at photo dap

find the sum of the even integers from 20 to 50.


with solutions please help​

Answers

Answer: 560

Step-by-step explanation:

There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.

The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120

The 30's can be written: 5*30 + 20 = 170

40's: 5*40+20 = 220

50's: 5*50+20 = 270

60's: 5*60+20 = 320

Each set is incremented by 50

We want the sets for 20, 30, and 40, plus the number 50.

(120+170+220+50) = 560

You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.

Titik P(10,3) dicerminkan terhadap sumbu x dan dilanjutkam terhadap pencerminan pada garis y = x menghasilkan bayangan titik P” yaitu

A. (10,-3)
B. (-3,10)
C. (3,-10)
D. (-10,3)

Answers

Answer:

B

Step-by-step explanation:

untuk p'

gerak kebawah dr garisan x sebanyak 3 kotak

p'= (-3,10)

untuk p''

disebabkan y=x

terbalikkan nilai p'

p''=(10,-3)

F (x) = 3x + 7
F (-4) =
F (2) =

Answers

Answer:

f(-4)=3(-4)+7=0

f(2)=3(2)+7=13

Answer:

Step-by-step explanation:

f(x) = 3 x+7

f(x) = 3 x + 7

f(-4) = 3*-4 + 7

f(-4) = -12 + 7

f(-4) = -5

f(x) = 3 x + 7

f(2) = 3*2+7

f(2) = 6 + 7

f(2) = 13.

:f(-4) =-5 , f(2) =13

Given that the Grand Canyon is 6001 ft deep, approximately how long would it take for the apple to reach the

bottom of the canyon?

O 8.6 seconds

O 20.7 seconds

O 41.0 seconds

o 12.9 seconds

Answers

Answer:

I don't know what to do with it

If in a game you play, gives you 40 candies, and one round takes 3 minutes, and you need 600 candies to buy 1 item.

How many minutes will it take to buy 30 items?

Answers

Answer:

1350min

Step-by-step explanation:

(600÷40)×3=45min for one item

45×30=1320 min for 30 items

no need for explanation just answer

Answers

Answer:

19

Step-by-step explanation:

why did j ernest wilkins jr was the first to do something significant in math

Answers

Answer:

guess hes just smart

Step-by-step explanation:

Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute. Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).

coordinates please!

Answers

Answer:

See the graph attached

Step-by-step explanation:

Every minute = 3m

At time zero, the depth is zero

Giving coordinates of (0, 0)

At time 1 minute, the depth is 3m

Giving coordinates of (1, 3)

This gives a linear equation

Slope = Δy/Δx

= (3-0)/(1-0)

= 3/1

= 3

Take any general point (x, y)

The equation of the line is:

(y-0)/(x-0) = 3

y/x = 3

y = 3x

See the plot which goes up to a depth of 5m

The ratio of the interior angles of a triangle is 4:5:7. What are the angle measures?

Answers

Answer:

45:56.25:78.75

Step-by-step explanation:

a triangle=180º total

4+5+7=16

180÷16=11.25

The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The ratio of the interior angles of a triangle = 4 : 5 : 7

Now,

Find the interior angles of a triangle as;

Since, The ratio of the interior angles of a triangle = 4 : 5 : 7

Hence, First angle = 4x

Second angle = 5x

Third angle = 7x

Since, The sum of all the angles in a triangle = 180°

So, We can formulate;

⇒ 4x + 5x + 7x = 180

⇒ 16x = 180

⇒ x = 180/16

⇒ x = 11.25

Thus, First angle = 4x

                          = 4 × 11.25

                          = 45°

Second angle = 5x

                     = 5 × 11.25

                     = 56.25°

Third angle = 7x

                  = 7 × 11.25

                  = 78.25°

Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

You ate 1/6 of a pizza and your brother eats 5/8 of the pizza .How much did your brother eat compared to you

Answers

Answer:

Subtract: 5/8 - 1/6 = 5 · 3/8 · 3 - 1 · 4/6 · 4 = 15/24 - 4/24 = 15 - 4/24 = 11/24

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 6) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 6 = 48. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - five eighths minus one sixth = eleven twenty-fourths.

translate 3(x-y)=2y+9 into a verbal sentence

Answers

Answer:

3 times x then minus 3 times y equal 2y plus 9

Step-by-step explanation:

Not sure if it works......

that's the verbal sentence (which is not formal sentence) i can think of now......

Consider triangle ABC where AB=X+5, BC=X-2, area is 30cm squared. Find X by solving X^2+3X-70=0, and find the perimeter.

Answers

Answer:

What the hell AC is not given so you can't find the Perimeter

Step-by-step explanation:

x^2+3x-70=0(x-7)(x+10)=0x-7=0

       x+10=0

x=7

       x=-10

AB=x+5

AB=12

        AB=-5

BC=x-2

BC=5

        BC=-12

Area of ABC = 30cm2

Perimeter of ABC = AB+BC+AC

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