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Elodia [21]
3 years ago
13

A helicopter is hovering 450 feet above the ground. The angle of elevation

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

The distance of helicopter from the injured person is 542.82 feet  

Step-by-step explanation:

Given as :

The height of the hovering helicopter above the ground = h = 450 feet

The angle of elevation from injured person to helicopter = Ф = 56°

Or, Let the distance of of helicopter from person = x feet

Now, From Triangle

∵ Sin Ф = \dfrac{\textrm Perendicular}{\textrm Hypotenuse}

∴  Sin 56° = \dfrac{\textrm h}{\textrm x}

Or, 0.8290 = \dfrac{\textrm 450}{\textrm x}

Or , x = \dfrac{\textrm 450}{\textrm 0.8290}

I.e x = 542.82 feet

So, The distance from injured person to helicopter = 542.82 feet

Hence The distance of helicopter from the injured person is 542.82 feet  Answer

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A<br> 9x - 40<br> B<br> 3x + 20<br> x = [?]
Mrrafil [7]

Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

<u>9</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>x</u> - 40 = <u>3x - 3x</u> + 20

6x - 40 = 20

6x <u>-</u><u> </u><u>40</u><u> </u><u>+</u><u> </u><u>40</u> = <u>20</u><u> </u><u>+</u><u> </u><u>40</u>

6x = 60

<u>6x</u><u> </u><u>/</u><u> </u><u>6</u> = <u>60</u><u> </u><u>/</u><u> </u><u>6</u>

x = 10

Now plug the x value in the equation to make the statement true that A is parallel to B.

9x - 40

<u>9</u><u>(</u><u>10</u><u>)</u> - 40

<u>90</u><u> </u><u>-</u><u> </u><u>40</u>

50

3x + 20

<u>3</u><u>(</u><u>10</u><u>)</u> + 20

<u>30</u><u> </u><u>+</u><u> </u><u>20</u>

50

Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

7 0
3 years ago
Read 2 more answers
A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic ca
Ugo [173]

Answer: A. 664

Step-by-step explanation:

Given : A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic cable TV service.

But there is no information regarding the population proportion is mentioned.

Formula to find the samples size , if the prior estimate to the population proportion is unknown :

n=0.25(\dfrac{z*}{E})^2

, where E = Margin of error.

z* = Two -tailed critical z-value

We know that critical value for 99% confidence interval = z*=2.576  [By z-table]

Margin of error = 0.05

Then, the minimum sample size would become :

n=0.25(\dfrac{2.576}{0.05})^2

Simplify,

n=0.25\times2654.3104=663.5776\approx664

Thus, the required sample size= 664

Hence, the correct answer is A. 664.

5 0
3 years ago
Anyone help me please Thank you
Olin [163]
I have to say the answer is C
4 0
3 years ago
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3x power of 2+ 5x+2=0<br><br>what does x equal
In-s [12.5K]
Let's solve your equation step-by-step.
2+5x+2=0
Step 1: Simplify both sides of the equation.
2+5x+2=0
(5x)+(2+2)=0(Combine Like Terms)
5x+4=0
5x+4=0
Step 2: Subtract 4 from both sides.
5x+4−4=0−4
5x=−4
Step 3: Divide both sides by 5.
5x
5
=
−4
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x=
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Answer:
x=
−4
5


4 0
3 years ago
Please help! Will mark the brainliest!
NikAS [45]
Interval notation uses parenthesis ( or ) for points that are not included in the function (open circle) and brackets [ or ] for points that are included in the function (filled in circle).

Remember that the domain for a function is the range of x-values in a function.

Interval notation includes the numbers at the each end of a continuous function. For function F, the leftmost x-value is 0. The rightmost x-value is 8. Both points at x = 0 and x = 8 are included in the function (filled in circles), so you would use the brackets. The entire function is continuous between those two points.

That means the interval notation for the domain of F is:
[0, 8]

------

Answer: [0, 8]
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