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d1i1m1o1n [39]
2 years ago
10

A hot air balloon hovers above its launch site at an altitude of 100 meters. The pilot of the balloon sights a parking lot at a

12˚ angle of depression. To the nearest meter, what is the horizontal distance between the parking lot and the launch site?
Mathematics
1 answer:
IgorLugansk [536]2 years ago
6 0

Answer:

The horizontal distance between the parking lot and the launch site is 470 meters

Step-by-step explanation:

Let

x----->  the horizontal distance between the parking lot and the launch site

we know that

The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance

so

tan(12°)=100/x

Solve for x

x=100/tan(12°)=470 meters

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The front and back covers of a text book are each 0.3 thick between the cover are 200 sheets of paper each 0.008 cm thick how hi
shepuryov [24]

Answer: 1,000

Step-by-step explanation:

The height of 10 stacks of books would be a 1,000 because if it's 0.3 thick between covers of 200 sheets then 10 books would be a 1,000.

5 0
2 years ago
Help please can y’all please answer 4-6 please
Stels [109]

Answer:

4. the circumference = approx. 21.99

5. 30 feet

6. 150.8 feet

Step-by-step explanation:

4: 3.5*π*2= 21.99

5:. 1800÷60= 30

6. circumference equals approx. 37.7 feet and I multiplied that by 4 because the boy went around 4 times

hope this helps <3

7 0
3 years ago
A right triangle has a leg b of length 7 and a hypotenuse of length 11 what is the length of the other leg a?
N76 [4]
A^2 + b^2 = c^2
a^2 + 7^2 = 11^2
49= 121
121 - 49 = 72

Square root(72) = 8.49
or you can just keep the square root symbol with 72 under it
6 0
3 years ago
A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0
3 years ago
How do i deleted a question on here lol
shtirl [24]
I don’t think you can lol
8 0
3 years ago
Read 2 more answers
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