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ipn [44]
3 years ago
9

Find the length of line segment KH if K(-1,2) and H(3,5). Round to the nearest tenth if needed

Mathematics
1 answer:
Molodets [167]3 years ago
7 0

   i think that that the answer is 13   Step-by-step explanation:

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Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

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

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

6 0
3 years ago
PLEASE help me out? Thank you! Have a great day!
Leya [2.2K]
You are trying to figure out 1/6 of her weight. Since her weight is 19 pounds, you would put it over one to create a fraction and times is by 1/6 which would give you 19/6.

8 0
3 years ago
Can you walk me through this problem i dont understand it AREA OF POLYGONS
Mamont248 [21]
The area of a paralellogram is bh

each dimention is multiplied by n
b turns to bn
h turns to hn

bh turns to (bn)(hn) or bnhn or bhn²

expression is bhnn or bhn² or bhn^2 (depends if the program will let you enter the exponent)
6 0
3 years ago
Complete the general form of the equation of a sinusoidal function having an amplitude of 4, a period of π , and a phase shift t
alex41 [277]

Answer:

4 sin (2x - 4).

Step-by-step explanation:

The amplitude of  sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.

Our formula is  4 sin (2(x - 2))

= 4 sin (2x - 4).

8 0
3 years ago
Find the domain of the function shown. Write the answer in interval notation.
lara31 [8.8K]

( - ∞, 3) ∪ (3, ∞ )

The domain is the set of values of x which make f(x) defined

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 3 = 0 ⇒ x = 3

domain : (- ∞, 3) ∪ (3, ∞ )


7 0
3 years ago
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