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ipn [44]
2 years ago
9

On september 8, 2004, the genesis spacecraft crashed in the utah desert because its parachute did not open. the 210-kg capsule h

it the ground at 311 km/h and penetrated the soil to a depth of 81.0 cm. assume that just before the crash and in the soil the capsule moves vertically.
Mathematics
1 answer:
maw [93]2 years ago
6 0
311km/h = 86.389 m/s 
<span>Initial KE </span>
<span>= 0.5 * 210 * 86.389^2 J </span>

<span>work done by force of ground </span>
<span>= F * 0.81 J </span>

<span>0.5 * 210 * 86.389^2 = 0.81 F </span>

<span>F = 967433.58 N </span>

<span>capsule's weight W= 210 * 9.81 = 2060.1 N </span>

<span>F = 469.6 times capsule weight ---answer</span>
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In right triangle ABC, mC - 90° and AC BC. Which trigonometric ratio is cquivalent to sin b?
vaieri [72.5K]

Answer:

All trigonometric Ratios are  SinB = \frac{AC}{AB} ,  SinA= \frac{CB}{AB} ,  CosA= \frac{AC}{AB}

And  Cos B = \frac{CB}{AB}.

Step-by-step explanation:

Given that,

A right angle triangle ΔABC, ∠C =90°.

Diagram of the given scenario shown below,

In triangle ΔABC :-

                               Hypotenuse = AB\\Base = CB\\Perpendicular = AC

So,                            Sin\theta = \frac{perpendicular}{hypotenuse}

                                SinB = \frac{AC}{AB}

Now, for ∠A the dimensions of trigonometric ratios will be changed.

Here the base for ∠A is AC , perpendicular side is CB and hypotenuse will be same for all ratios.

                               SinA= \frac{CB}{AB}

Again,                    Cos\theta= \frac{base}{hypotenuse}

Then,                    CosA= \frac{AC}{AB}

And                      Cos B = \frac{CB}{AB}.

Hence,

All trigonometric Ratios are  SinB = \frac{AC}{AB} ,  SinA= \frac{CB}{AB} ,  CosA= \frac{AC}{AB}

And                      Cos B = \frac{CB}{AB}.

                               

8 0
2 years ago
The following table shows the number of miles a hiker walked on a trail each day for 6 days.
dedylja [7]

Answer:

i think the answer is either E. or B. i'm not sure if i'm right but if someone can correct me if i'm wrong .

Step-by-step explanation:

6 0
2 years ago
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain
anygoal [31]
In addition, from the response shown, using a graphical calculator brings the following benefits:
 1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
 2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
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5 0
2 years ago
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What integer is closest to 31/7
Sonja [21]

Answer:

31/7 = 4 3/7.....3/7 is less then 1/2....so the closest integer is 4

Step-by-step explanation:

Please mark me brainlist if this helped

4 0
2 years ago
Based on Pythagorean identities, which equation is true? sine squared theta minus 1 = cosine squared theta secant squared theta
Naddik [55]

Answer:

Cot^2\theta-Csc^2\theta=-1

Step-by-step explanation:

The only Pythagorean identities are:

1. \ Sin^2\theta+Cos^2\theta=1

2. \ 1+Tan^2\theta=Sec^2\theta

3. \ 1+Cot^2\theta=Csc^2\theta

4. \ Sin^2\theta=1-Cos^2\theta\\  \ \ Cos^2\theta=1-Sin^2\theta

 

Therefore,Cot^2\theta-Csc^2\theta=-1 is correct as it's one of the pythagorean identities.

4 0
2 years ago
Read 2 more answers
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