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Snowcat [4.5K]
2 years ago
14

A boat is 10 miles away from a lighthouse that sits on top of a coral reef with a 4 mile radius. At what angle does the captain

need to steer his boat so that he avoids the boat from colliding with the underwater coral? Round to the nearest tenth degree.
Mathematics
1 answer:
lora16 [44]2 years ago
4 0

Answer:

n

Step-by-step explanation:

233

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a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is
Nikolay [14]

Answers:

length of rope = 2 meters

perimeter of meadow = 12.56 square meters

=========================================================

Explanation:

Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r

The area of the circle is pi*r^2 which is equal to 12.56 square meters

pi*r^2 = 12.56

3.14*r^2 = 12.56

r^2 = 4

r = sqrt(4)

r = 2

The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.

The perimeter of the circle is the same as the circumference

circumference = 2*pi*r

circumference = 2*pi*2

circumference = 4*pi

circumference = 4*3.14

circumference = 12.56

The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.

So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.

Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits

7 0
3 years ago
Read 2 more answers
The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?
zhenek [66]
8x²-8x+2-5+x = 8x² - 7x - 3 
Thus, g = 7 and h = 3

7 0
3 years ago
Read 2 more answers
3
Ivanshal [37]
Im not rlly that good at math but I believe in u smart ppl
4 0
3 years ago
Please help me anyone!
alexgriva [62]

Answer:

D

Step-by-step explanation

When it comes to negatives,The closer it is to zero, the higher it is.

Hope this helps, PXL

6 0
3 years ago
Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
gregori [183]

Answer:

(f-g)(x)=x^2-4x-21

Step-by-step explanation:

We are given the two functions:

f(x)=x^2-3x-28\text{ and } g(x)=x-7

And we want to find:

(f-g)(x)

This is equivalent to:

=f(x)-g(x)

Substitute:

=(x^2-3x-28)-(x-7)

Distribute:

=x^2-3x-28-x+7

Rearrange:

=(x^2)+(-3x-x)+(-28+7)

Hence:

(f-g)(x)=x^2-4x-21

6 0
2 years ago
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