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3 years ago

7

A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in

the N 15° W direction, find the resultant vector.

1 answer:

shutvik [7]3 years ago

4 0

Answer:

resultant vector = 25.2

Step-by-step explanation:

we apply cosine theorem

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shutvik [7]

First, take all the sides you already have, then add them up. (You should get 12) To find the other two sides, do some more simple addition. The 2+3+2 of the the top side add up to six (the bottom side) and sides equal each other so add another three. Total is 12+6+3=21

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3 years ago

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I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

<em><u>Ratio for the volumes of two cylinders</u></em>

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$

Substituting we get,

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}$

Hence, the ratio of volume of two cylinders is 8 : 27

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3 years ago

Javier bought a baseball card for 75% of its original shoes how much Javier paid for the baseball card?

Alex Ar [27]

3/4 X 10= $7.50

Because 3/4 is 75%, 10 is the original price. And 75% times 10 is 7.50<span />

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3 years ago

The function f(x) = -0.25x + 5 models the height of a candle x seconds after it is lit. Explain the

lbvjy [14]

Answer:

The y-intercept is the height of the candle before it was lit

Step-by-step explanation:

The y-intercept is at 0 on the x-axis meaning that not time has passed, so the candle is at its original height

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Help please i need this in less that 3 minutes. i just need the formula or what to do

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