To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B,then turns 75 degrees and walks 220 meters to point C (see figure). Approximate the length AC of the marsh. (Round your answer to one decimal place. )

Answers

Answer 1

Applying the law of cosine, b² = a² + c² - 2ac(cos B), the length of AC of the marsh, to one decimal place, is: 522.1 meters

What is the Law of Cosine?

The Law of Cosine is given as, b² = a² + c² - 2ac(cos B).

From the diagram given, we have the following:

B = 180 - 75 = 105°b = AC (length of the marsh)a = 220 mc = 420 m

Plug in the values into the law of cosine formula:

b² = 220² + 420² - 2(220)(420)(cos 105)

b² = 272,629.8

b = √272,629.8

b = 522.1 meters. (Length of AC of the marsh)

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To Approximate The Length Of A Marsh, A Surveyor Walks X=420 Meters From Point A To Point B,then Turns

Related Questions

Need help ASAP !!!!!!!!!!

Answers

Answer:

y =1/2x + 2

Step-by-step explanation:

Rise/run and then the y intercept

For the table, enter an equation that expresses y in terms of x.



x 12 11 10

y 9 8 7

Answers

Answer: y= X-3

Step-by-step explanation:

I plugged it into the calculator. You can also use the formula y2-y1 all over x2-x1. Then use the formula y-y1=m(x-x1).

what is 90 by 25% decreased

Answers

Answer:

- 22.5

Step-by-step explanation:

Answer:

90 decreased by 25% = 67.5

Absolute change (actual difference):

67.5 - 90 = - 22.5

Answer: 67.5

Step-by-step explanation:

Determine whether a triangle with the given side lengths is a right triangle.

Answers

Answer:

1st one is not a right triangle.

2nd one is not a right triangle.

3rd one is not a right triangle.

4th one is a right triangle.

Step-by-step explanation:

1, 2, and 3 could also be "not enough information".

5. Gina performed an experiment by rolling small steel balls of different masses down a
ramp and recording the distance that each ball rolled.
Gina wants to draw a line of best fit to represent the data. Through which two points
should she draw the line?

Answers

Answer:

the answer is h and L

Step-by-step explanation:

What is the rate of change of the function y = − 1/4 x + 1

Answers

Answer:

-1/4

Step-by-step explanation:

Hello!

The rate of change is also known as the slope.

Standard equation of a line: y = mx + b

y: outputm:  slopex: inputb: y-intercept

So, if we match the standard form to the given function:

y = mx + by = -1/4x + 1

-1/4 is m, or the rate of change.

20) Angel asked some of her friends to write down the types and number of pets they own. The bar graph shown here displays the information she received.
Angel predicts that the next friend she asks will not own a rabbit.
Which statement justifies Angel's prediction?

A) None of Angel's friends owns a rabbit.

B) There are more rabbits owned than birds.

C) There are fewer rabbits owned than any pet.

D) There are just as many birds owned as rabbits.

Answers

Answer: c

Step-by-step explanation: Its most likely rabbit was very few compared to other pet on the graph

Expand the brackets
a. 3(p-q-r)
b. -11(8a-2b)
c. 2(y-1)

Answers

Answer:

a. 3p-3q-3r

b. -88a+22b

c. 2y-2

Answer: Here are your answers...

a.) 3p - 3q - 3r

b.) -88a + 22b

c.) 2y - 2

Step-by-step explanations:

For A: 3 × p - 3 × q - 3 × r

For B: -11 × 8a -11 × -2b

For C: 2 × y - 2 × 1

I hope this helped you!

What’s the standard form of a circle?

Answers

Answer: (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units.

Step-by-step explanation:..hope this helps uwu have a great day xlXCherryColaXlx..(pls mark me brainliest)

How many protons, neutrons, and electrons are found in a neutral atom of carbon-13?

Answers

Since both are neutral, we know that each has 6 electrons as well. The sum of protons plus neutrons equals the mass number 12 in 12-C, so carbon-12 has 12 – 6 protons = 6 neutrons. The sum of protons plus neutrons equals the mass number 13 in 13-C, so carbon-13 has 13 - 6 protons = 7 neutrons.

In rectangle ABCD, find x and y.

Answers

Answer: x=5 y=6

Step-by-step explanation: 6y=3× +21
6y-6=2× +20
Opposite sides of the rectangle are equal
Substitute 3x +21 into 6y in the second equation.



50 POINTS PLS ANSWER QUICK!!

Which of the following equations is not a linear equation?
(LOOK AT PHOTO!!!)

Answers

Answer:

I think that B is not a linear equation.

Step-by-step explanation:

Linear eqautions can not contain exponents in them. B has x to the power of 3 and y to the power of 2, ruling it out to be a linear equation.
I hope this helps! :)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Linear equation has a degree of 1, that means the maximum power of a variable in a linear equation/expression should be 1. if an equation doesn't satisfy this condition then it's not a linear equation.

So, by Observing the choices, we get to the conclusion that the one which isn't a linear equation is B

[tex]\qquad \sf  \dashrightarrow \: {x}^{3} - 5 {y}^{2} = 4[/tex]

Here, the variables have greater powers tham one, and degree is 3. so it's the required Answer ~

Find the value of x. Segments that appear to be tangent are tangent. Round your answer to the nearest tenth. Do not include "x=" in your answer.

Answers

The square of the hypotenuse is equal to the sum of the square of other two sides. The value of x from the given diagram to the nearest tenth is 11.2

Pythaogram theorem

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the diagram

hypotenuse = 5.6 + 8.4 = 14

Other sides are x and 8.4

According to the theorem:

14^2 = x^2 + 8.4^2

x^2 = 14^2 - 8.4^2

Simplify

x^2 = 196 - 70.56
x^2 = 125.44

x = 11.2

Hence the value of x from the given diagram to the nearest tenth is 11.2

Learn moreon Pythagoras theorem here: https://brainly.com/question/18811544

Answer:

11.2

Step-by-step explanation:

just did it

In triangle ABC, m∠A=23° and m∠B=33°. What is m∠C?

Answers

The measure of angle C is 122 degrees.

We have given that,

In triangle ABC, m∠A=23° and m∠B=33°

We have to determine the remaining angle of the triangle.

What is the sum of the angle of the triangle?

The sum of the angles in a triangle is 180 degrees.

Therefore we get

angle A+ angle B+ angle C= 180 degrees

23+33+angle C=180

angle C=180-56

angle C=122

Therefore the measure of angle C is 122 degrees.

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Help I will give brainlist

Answers

the answer is B and B and B and B and B

Answer:

D

Step-by-step explanation:

21+16=37, so 37 gallons.

1+2=3, so 3 quarts.

Tritium is a radioactive isotope of hydrogen that decays by about 5% per year. A large bottle of water that contained 450,000 tritium atoms remained undisturbed for 11 years. How much tritium does the bottle contain now?
If necessary, round your answer to the nearest whole number

Answers

Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem:

The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.The amount decays by about 5% per year, hence r = 0.05.

Thus, the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 450000(1 - 0.05)^t[/tex]

[tex]A(t) = 450000(0.95)^t[/tex]

After 11 years, the amount is given by:

[tex]A(11) = 450000(0.95)^{11} = 255960[/tex]

The bottle contains 255,960 atoms of tritium after 11 years.

More can be learned about exponential functions at https://brainly.com/question/25537936

In the diagram below, lines X and Y are parallel and cut by a transversal. The measure of ∠1 is 65°.



Which argument explains why the measure of ∠3 is also 65°?

Answers

I don’t see a picture but based on the description you gave it’s because they’re vertical angles. This means they’re directly across from each other meaning they have the same measure.

I will mark brainiest

Answers

Answer:

C

Step-by-step explanation:

Got it right on edge 2022

Answer:

B is the correct answer because this is stem and leaf

Step-by-step explanation:

the range of it ranges from 61, 92 because it starts at 61 and ends at 92.

help me please please

Answers

Answer:

81.7 in (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

Given:

r = 13 in

Substituting given value into the formula:

[tex]\begin{aligned}\implies \textsf{Circumference} & =2 \pi \cdot 13\\ & = 26 \pi\\ & = 81.7\: \sf in\:(nearest\:tenth)\end{aligned}[/tex]

. Connor sells pretzels for
$1.50 each. The pretzels cost $0.45 each to
make. How much profit will Connor make
if he sells 40 pretzels?
0.2

Answers

Answer:

$42.00 . . .

Step-by-step explanation:

Answer: Connor will only make 42 dollars.

Step-by-step explanation: multiply the 40 by 1.50. After you do that u then multiply 40 by 0.45. Then when you have your two answers subtract then there.

Help will give brainliest!!!!

Answers

Part - 9
Whole - 60
Percentage - 15%
Part is 9 . whole is 60 . The percentage is 15%


I need help please......

Answers

Answer:

Sorry the picture isn't clear, click it again

SBC is an isosceles triangle with main vertex S.
→ Let D be the symmetric of B with respect to C and A the symmetric of C with respect to B.
1) Compare AB and CD
2) Compare the angles SBA et SCD.
3) Deduce that the triangles SBA and SCD are congruent.
4) What is the nature of the SAD triangle?
Help me if u help me u get points I’m poor help me I don’t have much time :(

Answers

Answer + Step-by-step explanation:

1) D be the symmetric of B with respect to C then CD = BC

A the symmetric of C with respect to B then AB = BC

We obtain :

CD = BC

AB = BC

Then AB = CD

2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD

3) we have :

BA = CD

BS = CS

m∠SBA = m∠SCD

Then

the triangles SBA and SCD are congruent

4)

the triangles SBA and SCD are congruent Then SA = SD

Therefore SAD is an isosceles triangle.

Answer:

its SAD

Step-by-step explanation:

I did the test

Please help will give 5 stars on your answers.

Answers

Answer:

it's the third one

Step-by-step explanation:

( ) means multiple

$80 x 12months plus the original 375

I like you pf picture bye

AB is tangent to circle O find the length of radius r to the nearest tenth please answer ASAP will mark as brainlist

Answers

Answer:

7.62

Step-by-step explanation:

Using Phythagoras' theorem...

Hyp^2 = a^2 + b^2

that is:

8^2 = 11^2 + r^2

64 = 121 + r^2

64-121 = r^2

58 = r^2

therefore r = sqrt of 58

NB: Not sure but there you go.

Answer:

r ≈ 3.6

Step-by-step explanation:

∠ OAB is right ( angle between tangent and radius at point of contact )

then Δ OAB is a right triangleΔ

using Pythagoras' identity in the right triangle

with hypotenuse OB = r + 8 , then

OB² = OA² + AB² , that is

(r + 8)² = r² + 11²

r² + 16r + 64 = r² + 121 ( subtract r² from both sides )

16r + 64 = 121 ( subtract 64 from both sides )

16r = 57 ( divide both sides by 16 )

r = [tex]\frac{57}{16}[/tex] ≈ 3.6 ( to the nearest tenth )

How many framed prints did mr. carandang sell? 329 475 517 1,034

Answers

Using the table that describes the amounts, it is found that Mr. Carandang sold 517 framed prints.

What does the table state?


Researching the problem on the internet, it is found that:

A total of 1790 prints were sold.Of those, 1273 were unframed and the remainder was framed.

Hence:

1790 - 1273 = 517, hence Mr. Carandang sold 517 framed prints.

More can be learned about tables at https://brainly.com/question/26621851

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Answer:

C. 517

Step-by-step explanation:

I just took the test


A rectangular carpet is 2 times as long as it is wide. Its width is 5
yards. What is the perimeter of the carpet?

Answers

Answer:

30 units

Step-by-step explanation:

If the w=5 and we know that the length is 2(5)=10

For perimeter, there are two sides.

2(10)+2(5)=30 units

I would say 30 units

Manny drew a scale diagram of his classroom. His real classroom is 20 feet wide. Manny's drawing is 4 centimeters (cm) wide. What is the scale factor of the drawing?

Answers

Answer:

1 cm : 5 feet

Step-by-step explanation:

4 cm : 20 feet

1 cm : 5 feet

20 has been divided by 4.

0.551567 round to the nearest tenth

Answers

Answer:

0.6

Step-by-step explanation:

0.551567

You look at the hundredth value to see if you can find it up to the tenth.

If it's at least between 5-9 then round anything below between1-5 you can not found.

Answer:

0.6

Step-by-step explanation:

The volume of this cube is 125 cm³. What is the length of each side?

Answers

Answer: 5

Step-by-step explanation: A cube has all lengths equal.

Volume is 125 find the cube root

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