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2 years ago

How far are Gustavo and Aiden away from each other

Mathematics

1 answer:

allsm [11]2 years ago

7 0

Answer: Gustavo is 261.96 meters away from Aiden. Or Aiden is 261.96 meters away from Gustavo.

Step-by-step explanation: From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.

Therefore, Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.the total angle between them is 23 + 33 = 56°. Therefore, let the distance between them be c and we can calculate that using the cosine law.c² = a² + b² – 2ab cos θ. Therefore, let the distance between them be c and we can calculate that using the cosine law.c² = a² + b² – 2ab cos θ.

Therefore, they are 261.96 meters apart.

c² = 300² + 250²– 2(300) (250)cos 56

c² = 90000 + 62500 - 83878.9355

c² = 68621.0645

c = √68621.0645

c = 261.96 m

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Can someone help me out with these two problems having trouble please !!

eimsori [14]

Answer:

x=-10

x=-6

x=10

x=-3

Step-by-step explanation:

to find the zeros of a function you need to set it equal to zero:

x^2+16x+60=0

then you factor

(x+10)(x+6)=0

then you have to finish factoring/simplifying

x+10=0

-10

x=-10

x+6=0

-6

x=-6

and the same thing for number 2

x^2-7x-30=0

(x-10)(x-3)=0

x=10, x=3

3 0

1 year ago

Read 2 more answers

Charlotte reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?

sukhopar [10]

$8\frac{1}{3} = \frac{25}{3}$

25/3 pages of a book in 10 minutes

Multiply both numbers by the reciprocal of 10, which is 1/10

$\frac{25}{3} \times\frac{1}{10} = \frac{25}{30}=\frac{5}{6}$

$10\times\frac{1}{10}= 1$

So, Charlotte reads 5/6 pages of a book in 1 minute.

8 0

3 years ago

Suppose the correlation between height and weight for adults is 0.80. What proportion (or percent) of the variability in weight

gulaghasi [49]

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
Coefficient of determination, $r^2$ , is a measure of variability in one variable can be explained variation in the other.

Here, r= 0.80

$\Rightarrow\ r^2= (0.80)^2=0.64$

That means 64% of the variability in weight can be explained by the relationship with height.

8 0

2 years ago

Write an equation for the nth term of the geometric sequences. Then Find a6

love history [14]

Answer: The nth term of a geometric progression is Tn = ar^(n-1)

A. 12

B. 3.6

C. -3/4

D. 0.6

Step-by-step explanation:

The nth term of a geometric progression is Tn = ar^(n-1)

Where Tn= nth term

a = first term

r = common ratio

n = number

A. a6 = (2*6) = 12

B. a6 = (0.6*6) = 3.6

C. a6 = (-1/8*6) = -3/4

D. a6 = (0.1*6) = 0.6

6 0

2 years ago

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003

Dvinal [7]

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

3 0

2 years ago