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3 years ago

ANYONE GOOD AT MIDPOINT?

Mathematics

1 answer:

Vladimir79 [104]3 years ago

3 0

The coordinates of the midpoint of two points A and B are the averages of the corresponding coordinates of A and B.

So if one point is (a, b) and another point is (c, d), the point exactly between them has coordinates ((a+b)/2, (c+d)/2).

In this example, the points

A(-3a, b)

B(3a, b)

have midpoint

F((-3a+3a)/2, (b+b)/2) = F(0, 2b/2) = F(0, b)

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1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°

slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation $sin (68) = \frac{18}{h}$ .

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. $sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\$

And finally we have $h=\frac{18}{sin (68)}$ . We input to calculator.

$h=\frac{18}{0.92718} \\h=19.4 feet$

See the attached picture below showing the shore with the boat out at sea and the position of the person.

8 0

3 years ago

Somebody please help me with this!

andreyandreev [35.5K]

8/x + 2 is equal to 8/4 + 2.

8/4 = 2

2 + 2 = 4

ANSWER: 4

5 0

3 years ago

Read 2 more answers

the first box measures 18 inches by 8 inches by 15 inches. the second box is 10 inches tall and the area of the base measures 19

Mandarinka [93]

Answer:

Box 1 has the greater volume, by 200 in³

Step-by-step explanation:

The largest of two volumes can be found by computing each volume and comparing the results.

The volume is computed from dimensions by ...

V = LWH

V = (18 in)(8 in)(15 in) = 2160 in³

The volume is computed from area and height by ...

V = Bh . . . . . where B is the base area, and h is the height

V = (196 in²)(10 in) = 1960 in³

<h3>Comparison</h3>

The units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.

Box 1 has a greater volume

The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:

2160 in³ -1960 in³ = 200 in³

Box 1 is larger by 200 in³

_____

<em>Additional comment</em>

The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:

200/1960 × 100% ≈ 10.2%

Box 1 is about 10% larger than Box 2.

3 0

2 years ago

Read 2 more answers

What is 4.58+y=2.5? Thanks!

zhenek [66]

Isolate the y. Note the equal sign. What you do to one side, you do to the other. Subtract 4.58 form both sides

4.58 (-4.58) + y = 2.5 (-4.58)

y = 2.5 - 4.58

y = -2.08

-2.08 is your answer

hope this helps

4 0

3 years ago

What is the gcf of 21 30 anwhat is the gcf of 21 , 30 ,and 44?

Ymorist [56]

Find the prime factorization of each value.

21 is 7*3

30 is 3*10 which can be further broken down into 3*2*5

44 is 4*11 which can be further broken down into 2*2*11

What do they share in common?
21 and 30 each have a 3 in common.
Therefore the GCF(21, 30) = 3.

21 and 44 share a 2 in common.
But if we're looking at all three of them together, they share nothing in common.

5 0

3 years ago

ANYONE GOOD AT MIDPOINT?​

ANYONE GOOD AT MIDPOINT?