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3 years ago

Is this right? I’ll mark brainliest if you’re correct

Mathematics

1 answer:

ira [324]3 years ago

7 0

Answer:

No its independent

Step-by-step explanation:

because you'll have to divide and stuff

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Two lighthouses are located 60 miles from one another on a north-south line. If a boat is spotted S 21o E from the northern ligh

jasenka [17]

Answer:

(A)The northern lighthouse is 8.2 miles closer than the southern lighthouse.

Step-by-step explanation:

The triangle attached represents the given problem.

First, let us determine the distance of the Boat from each of the lighthouse.

In Triangle ABC,

∠A+∠B+∠C=180 degrees

21+∠B+16=180

∠B=180-37=143 degrees.

Using Law of Sines

$\frac{a}{Sin A}=\frac{b}{Sin B}\\\frac{a}{Sin 21^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\a*sin143=60*sin21\\a=60*sin21\div sin143\\a=35.73 miles$

Similarly

$\frac{c}{Sin C}=\frac{b}{Sin B}\\\frac{c}{Sin 16^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\c*sin143=60*sin16\\c=60*sin16\div sin143\\c=27.48 miles$

Difference in Distance =35.73-27.48=8.25 miles

Therefore, the northern lighthouse is 8.2 miles closer than the southern lighthouse.

8 0

3 years ago

Not too sure about this one

elena-s [515]

Answer:

see explanation

Step-by-step explanation:

let y = f(x), then

y = 11x - 1

Interchange x and y and solve for y

x = 11y - 1 ( add 1 to both sides )

x + 1 = 11y ( divide both sides by 11 )

y = $\frac{x+1}{11}$ , hence

$f^{-1}$ (x) = $\frac{x+1}{11}$

3 0

3 years ago

MULTIPLE CHOICE HELP ASAP! Brainliest for correct answer.

N76 [4]

Answer:

An equation of the circle with centre (-2,1) and radius 3 is $\mathbf{(x+2)^2+(x-1)^2=9}$

Option D is correct.

Step-by-step explanation:

Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3

The equation of circle is of form: $(x-h)^2+(x-k)^2=r^2$ where (h,k) is centre and r is radius.

We have centre C (-2,1) so, we have h = -2 and k = 1

We have radius = 3 so, r = 3

Putting values in the equation and finding the required equation:

$(x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9$

So, an equation of the circle with centre (-2,1) and radius 3 is $\mathbf{(x+2)^2+(x-1)^2=9}$

Option D is correct.

7 0

2 years ago

Can I please have some HELP!!! (Brainllest)

Solnce55 [7]

Answer:

its the last one I think.

3 0

3 years ago

2. Students who wish to represent the school at a school board meeting are asked to stop

ella [17]

Answer: Biased sample

Step-by-step explanation:

This is a biased sample because only students with strong opinions are likely going to volunteer or show interest in representing the school at the board meeting. This sample is a voluntary type sample, and at such the conclusion is not valid. This sample is biased because a group or population of students have a higher or lower sampling probability.

3 0

3 years ago