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Ostrovityanka [42]
3 years ago
14

Help this is due tmw

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0
Formula for circumference: 2πr
r=2x+1
C=2π(2x+1)
distribute
C=4πx+2π
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3 years ago
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; <u>John</u><u> drives a stake opposite the tree to establish a line between two points</u>

  • Step 2; <u>John uses a </u><u>compass </u><u>to walk away from the stakes at a right angle</u>

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

  • Step 4; <u>John drives a second </u><u>stake </u><u>in the ground</u>

  • Step 5; <u>John measures the the </u><u>distance </u><u>between the two stakes</u>

  • Step 6; <u>John </u><u>multiplies </u><u>the distance between the two stakes by</u><u> 1.7</u><u> to find the distance</u>.

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}}

<em>The possible question options are;</em>

<em>John measures the the distance between the two stakes</em>

<em>John uses a compass to walk away from the stakes at a right angle</em>

<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>

<em>John drives a second stake in the ground</em>

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

<em>John drives a stake opposite the tree to establish a line between two points.</em>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0
2 years ago
What is the volume of a cylinder with base radius 2 22 and height 9 99? Either enter an exact answer in terms of π πpi or use 3.
Lemur [1.5K]

Answer:

In this question, it is given that the base radius is 2 , height is 6 and the value of pi is 3.14 .

And we have to find the volume of the cylinder, and for that, we have to use the following formula

<em>V= π r² h</em>

Substituting the values of pi,r and h, we will get

<em>V= 3.14 (2)² * 6= 75.36 Cubic Units</em>

6 0
3 years ago
Help with solving for the variable in math problem: -3(3x)^2 + 3 = -6
lana66690 [7]

Answer

x = 1/√3  and   x = -1/√3 

or in decimals x = + 0.577350269  and 

                           = - 0.577350269


Explanation

-3(3x)² + 3 = -6

-3×9x² + 3 = -6

-27x² = -6-3

-27x² = -9


x² =-9/(-27)

    = 9/27


x = +√(9/27)   

 x = 3/√27

= 3/√9×3

= 3/3√3

= 1/√3

or in decimals x = 0.577350269

Also x = -√(9/27)

x = +√(9/27)   

 x = -3/√27

     = -3/√9×3

     = -3/3√3

    = -1/√3

or in decimals x = -0.577350269

6 0
3 years ago
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Please help with this
Romashka [77]

Answer:

It's equal to DOA. It's 48

Step-by-step explanation:

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