What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5. 4 cm?

John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite

otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

Step 1; John drives a stake opposite the tree to establish a line between two points

Step 2; John uses a compass to walk away from the stakes at a right angle

Step 3; On the path John walks until he finds a line of sight to the tree that equals 60 degrees

Step 4; John drives a second stake in the ground

Step 5; John measures the the distance between the two stakes

Step 6; John multiplies the distance between the two stakes by 1.7 to find the distance.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$

The possible question options are;

John measures the the distance between the two stakes

John uses a compass to walk away from the stakes at a right angle

John multiplies the distance between the two stakes by 1.7 to find the distance

John drives a second stake in the ground

On the path John walks until he finds a line of sight to the tree that equals 60 degrees

John drives a stake opposite the tree to establish a line between two points.

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0

2 years ago

Use a rectangular array to write the product in Standard form 2(x+10=?

Sladkaya [172]

Hello there!

I hope you and your family are staying safe and healthy during this winter season!

See the attached picture for the answer!

Thanks!

~Garebear

7 0

2 years ago

5) BRAINLIEST AND 10+ POINTS! :)

yKpoI14uk [10]

Answer:

b) 1000x + 115

Step-by-step explanation:

C = 20y + 15

= 20(50x + 5) + 15

= 1000x + 100 + 15

= 1000x + 115

4 0

3 years ago

Read 2 more answers

Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio

Scorpion4ik [409]

Answer:

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.

Step-by-step explanation:

The probability, in this case, has to be calculated using the sum rule because the events are independent.

P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.

Facts:

P(men) = 60% = 99/165

P(non-fiction) = 40% = 66/165

P(men non-fiction) = 40/165

P = P(men) + P(non-fiction) – P(men non-fiction)

P = 99/165 + 66/165 – 40/165

P = 125/165

P = 0.758 or 75.8%

3 0

2 years ago

Find the accumulated value of an investment of $7000 at 12% compounded semiannually for 12 years.

Mashcka [7]

Answer:

$28,342.54

Step-by-step explanation:

The value of an account earning compound interest is found using the formula ...

A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

You have P=7000, r=0.12, n=2, t=12.

Using these values in the formula, we find the accumulated value of the investment to be ...

A = 7000(1 +0.12/2)^(2·12) = 7000(1.06^24) ≈ 28,342.54

The value after 12 years is $28,342.54.

_____

Additional comment

The time-value-of-money functions of your calculator or spreadsheet can find this for you.

7 0

1 year ago