To directly measure the distance across a river, Makayla stands on one side of the diagram below to show the lengths and angles that she measures. Find PR, the distance across the river. Round your answer to the nearest foot.

To Directly Measure The Distance Across A River, Makayla Stands On One Side Of The Diagram Below To Show

Answers

Answer 1

Answer:

  287 ft

Step-by-step explanation:

Side lengths of similar triangles are proportional, so we can write and solve a proportion that will tell the length of PR.

ΔRPE ~ ΔOPC so ratios of corresponding sides are the same:

  PR/PO = RE/OC

  PR/(PR +165) = 235/370 . . . . . substitute known values

  74·PR = 47·(PR +165) . . . . . . . . multiply by 74(PR +165)

  27·PR = 7755 . . . . . . . . . . simplify, subtract 47·PR

  PR = 287 2/9 . . . . . . . divide by 27

The distance across the river is about 287 feet.


Related Questions

Are the ratios3:6 and 6:3 equivalent? Why or why not?

Answers

Answer:

No, they are not equivelent.

Step-by-step explanation:

If we solve both of them :

3:6 = 3/6

3/6 = 1/2

1/2 = 1:2

6:3 = 6/3

6/3 = 2/1 (just 2!)

2/1 = 2:1

So, they aren't the same because they aren't the same fraction and they don't simplify to the same answer :)

Let me know if you need more of an explanation!

An item is priced at $14. 48. If the sales tax is 8%, what does the item cost including sales tax?

Answers

The answer should be $16.28

Angle 2 measures 77°.

What is the measure of angle 1?

Answers

Answer:

Step-by-step explanation:

∠1 & ∠2 are alternate exterior angles. Alternate exterior angles are congruent.

∠1 = ∠2

∠1 = 77°  

PLEASE I HAVE NO IDEA WHAT THIS IS HELP MEE

Answers

Answer:

(i) Mochi

(ii)Because Mochi is growing 4 kg in every weeks while Kappa is growing 3 kg in every weeks.

Step-by-step explanation:

Please give me brainliest;)

Janet had 20 dollars to spend on 3 gifts. She spent 11 7/10 dollars on gift A and 4 2/5 dollars on gift B. How much money did she have left for gift C?

Answers

3 dollars and 80 cents left

Which statement proves that quadrilateral HIJK is a kite? HI ⊥ IJ, and m∠H = m∠J. IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK. IK intersects HJ at the midpoint of HJ at (−1. 5, 2. 5). The slope of HK = Negative two-fifths and the slope of JK = Negative five-halves.

Answers

The statement proves that quadrilateral HIJK is a kite is  IH = IJ = 3 and JK = HK = [tex]\sqrt{29}[/tex] and IH ≠ JK and IJ ≠ HK.

Given

On a coordinate plane, kite H I J K with diagonals is shown.

Point H is at (negative 3, 1), the point I is at (negative 3, 4), point J is at (0, 4), and point K is at (2, negative 1).

What is the kite?

A quadrilateral is called a kite with two pairs of equal adjacent sides but unequal opposite sides.

Firstly calculating the length of the sides of the kite using the following formula;

[tex]\rm Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For a kite quadrilateral,  HIJK will be a kite, if it's siding IJ = IH

From the graph length of I H = 4 - 1 = 3 units

Length of IJ = 0 - (-3) = 3 units

Therefore, IJ = IH = 3 units

Sides HK should be equal to JK

Length of HK is;

[tex]\rm HK =\sqrt{(1-(-1))^2+(2-(-3))^2} \\\\HK=\sqrt{(1+1)^2+(2+3)^2} \\\\HK=\sqrt{(2)^2+(5)^2\\} \\\\ HK =\sqrt{4+25} \\\\HK= \sqrt{29}[/tex]

Hence, the statement proves that quadrilateral HIJK is a kite is  IH = IJ = 3 and JK = HK = [tex]\sqrt{29}[/tex] and IH ≠ JK and IJ ≠ HK.

To know more about quadrilateral click the link given below.

https://brainly.com/question/1751208

Answer:

B.

IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK.

What is the height of the tree?
57°
30 feet

Answers

Answer:

  46.2 feet

Step-by-step explanation:

In the right triangle model, you are given the angle, the adjacent side, and you want to find the opposite side. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(57°) = height/(30 ft)

Multiplying by the denominator gives ...

  height = (30 ft)tan(57°) ≈ 46.2 ft

The height of the tree is about 46.2 feet.

A triangle has two sides of length 16 and 20. What is the smallest possible whole-number
length for the third side?

Answers

Answer: 4

Step-by-step explanation: Subtract the largest given side from the smallest given side to find the smallest possible length of the third side.

Matthew made a total of $396.50 in a school candy fundraiser. If each box of candy cost $0.50, how many boxes did Matthew sell?

Answers

793 Boxes

$396.50/0.5=793 Boxes

Factor: 10x^3-35x^2-12x+42

I'll give brainliest :) but please show all work.

Answers

Answer:

[tex]\left(2x-7\right)\left(5x^2-6\right)[/tex]

Explanation:

[tex]\hookrightarrow\sf 10x^3-35x^2-12x+42[/tex]

using associative property, separate

[tex]\hookrightarrow\sf \left(10x^3-35x^2\right)+\left(-12x+42\right)[/tex]

take common term, factorise

[tex]\hookrightarrow\sf 5x^2\left(2x-7\right)-6\left(2x-7\right)[/tex]

final answer

[tex]\hookrightarrow\sf \left(2x-7\right)\left(5x^2-6\right)[/tex]

Answer:

[tex](5x^2-6)(2x-7)[/tex]

Step-by-step explanation:

[tex]10x^3-35x^2-12x+42[/tex]

Rewrite:

[tex]\implies (10x^3-35x^2)-(12x-42)[/tex]

Factor parentheses:

[tex]\implies 5x^2(2x-7)-6(2x-7)[/tex]

Factor out common term [tex]2x-7[/tex]:

[tex]\implies (5x^2-6)(2x-7)[/tex]

Help please this is confusing and also show your work

Answers

Answer:

B

Step-by-step explanation:

Volume is length · width · height, so you can add another column with the volumes:

8

9

6

3

Then you see that 9 is the highest volume.

HELP ME PLEASEKDKCJDJEJF

Answers

She spent a hour and a half

Can you do question c for me?

Answers

Answer:

28.2

Step-by-step explanation:

91 × 18 = 1638

1638 ÷ 58 = 28.2413793103

rounded to 1 significant figure = 28.2 as 4 rounds down

hope this helps

Find the area of the semicircle. Round your answer to the nearest hundredth.

Answers

Answer: 452.57in^2

Solution: (in the pic below)

answer quick plsss!!!

Haley had 90 pieces of candy. She gave 3 pieces each to 9 friends. How many pieces of candy does Haley have left?

Answers

Answer:

63

Step-by-step explanation:

DO 9x3=27

90-27=63.

IS IT A B C D (pls help me i am desprite

Answers

Answer: C

Step-by-step explanation: the x value increases by one while the y value increases by 3. And the y intercept is (0,-6)

Write an equation in slope-intercept form that contains the points (0,-5), (1,-3), and (2,-1).

Answers

Answer:

y=1/2x-5

Step-by-step explanation:

Okay so first we do y2 - y1

-1 - (-3)

a negative minus a negative is just adding so its actually

-1 + 3 = 2

now we do x2 - x1

2 - 1 = 1

The slope is 1/2

If you look at the (0, -5) since x is a y the -5 is our y intercept

now we can make the equation

y=1/2x-5

Which line is the graph of y = 1/2 x + 2?

line a
line c
line d
line b

Answers

Answer:

the answer is line A

Step-by-step explanation:

:3 why do i have to write at least 20 characters :/

but Hope its correct

Answer:

Line A

Step-by-step explanation:

By graphing the equation y = 1/2x + 2 you will see that the line intersects at 2. Hence + 2, while all of the other given lines do not intersect at 2.

To further prove the answer, you could also see that line A intersects at -4 when you graph the equation y = 1/2x + 2 you can also see that the line intersects at -4 on the x axis and 2 on the y axis.

Your answer is the first option or "line A."

Hope this helps.

if 7 + y equals to 35 find y ​

Answers

Answer:

y=28

Step-by-step explanation:

28+7=35

I will give you brainliest but please help

Answers

The answer is B: 2p -4

Answer:

2p - 4

Step-by-step explanation:

Hello!

Let's start by deciphering what the wording is saying.

So we see he reads 4 less than 2 times the number of pages he read yesterday.

Note the words I put in bold. They're in bold because they signal our operations.

Note the fragment I underlined. It is underlined because that underlined portion refers to our variable, p.

So the amount of pages read is 4 less than 2 times p.

Well, 2 times p is 2p, and 4 less than 2p is 2p - 4

Let me know if you have any questions.

What fraction is between 3/4 and 1 ?

Answers

7/8 is between 3/4 and 1

please help I’m stuck and I need help

Answers

Answer:the 2nd

Step-by-step explanation:

The order is 4, 2, 1, 3

Solve the following equation, identifying the domain restrictions, and checking your answers. Must show check for each solution

Answers

Answer: 4, 5

Step-by-step explanation:

The domain restrictions are [tex]x \neq 1[/tex] and [tex]x \neq -3[/tex] since those are the values of x for which the denominators equal 0.

To solve, we can start by cross multiplying:

[tex](x+3)(x+2)=7(2x-2)\\x^{2}+5x+6=14x-14\\x^{2}-9x+20=0\\(x-4)(x-5)=0\\x=4, 5[/tex]

HURRY ITS DUE RIGTH NOWWWW

Answers

Answer:

0.9

Step-by-step explanation:

you do 1.6 x 4= 6.4

so we know that we have to do 3.6 divided by 4 = 0.9

so 0.9 is x

You are given a line that has a slope of 4 and passes through the point (3/8, 1/2). Which statements about the equation of the line are true? Check all that apply.

The y-intercept is -1.
The slope-intercept equation is y = 4x - 1.
The point-slope equation is y - 3/8 = 4(x - 1/2).
The Point (3/8, 1/2) corresponds to (x1, y1) in the point-slope form of the equation.

Answers

Step-by-step explanation:

the point-slope form is

y - y1 = a(x - x1)

with "a" being the slope, (x1, y1) being a point on the line.

so, we have here

y - 1/2 = 4(x - 3/8)

simplifying this gives us then the slope-intercept form

y = ax + b

with b being the y-intercept.

so, we get

y - 1/2 = 4x - 4×3/8 = 4x - 3/2

y = 4x - 3/2 + 1/2 = 4x - 2/2 = 4x - 1

so,

the first, second and forth statements are true, the third is false.

evaluate x=3 for 2x
x2
1x
x1
12x

Answers

Answer:

x2

Step-by-step explanation:

it's the same both ways. It's still 2 x 3 = 6

I hope this is correct

A car factory takes 6 hours to produce 60 cars. How many hours does the factory take to produce 300 cars?

Answers

Answer:

30 hours

Step-by-step explanation:

Ok, since it can make 60 cars in 6 hours we take the 300 divided by the 60 to get 5. Then, multiply the 5 by the 6 to get 30 hours.

.Answer:

The answer is 30 hours

Step-by-step explanation

60 x 5 = 300 cars produced

6 x 5= 30  hours it takes to produce 300 cars

Jenny has $2525 and she earns $1010 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $6565. Enter the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket.

Answers

Answer:

6565 = 1010(4) + 2525

Step-by-step explanation:

so the equation would be

6565 = 1010x + 2525

x = 4 because

1010 (4) = 4040

and 4040 + 2525 = 6565, so

6565 = 1010(4) + 2525


Alice wants to make 7 curtains. Each curtain uses 4 3/4 yards of cotton. How many yards of cotton does
Alice need to make 7 curtains ?

Answers

Answer:

33 1/4 yard OR 33.25 yard

Step-by-step explanation:

4 3/4 x 7 = 33 1/4 yards = 33.25 yards

Find the X and Y intercepts of the graph x+7y=9 State each answer as an integer or improper fraction in simplest form

Answers

I hope this helps!
(9,0)
(0,9/7)
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