3 years ago

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Mathematics

1 answer:

marusya05 [52]3 years ago

6 0

Answer:

8.86 > 8.65

Step-by-step explanation:

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4. A plane's average speed between two cities is 200 m/s. If the trip takes 2.5 hours, how far does the plane fly?

ioda

Step-by-step explanation:

Average speed (S) = 200 m/s

Time taken (t) = 2 .5 hours = 2.5 *60*60 = 9000 sec

Now distance travelled (d) = ?

We know

The distance travelled by a body per unit time is

speed so

S = d / t

200 = d / 9000

d = 9000 * 200

d = 1800000 meters.

The plane flies 1800000 meters.

3 0

3 years ago

Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

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3 years ago

Which ratio is proportional to 24 / 6 12/4 48/8 12/3 4/12

Diano4ka-milaya [45]

12/3 is proportional to 24/6.

6 0

3 years ago

Nari says, “The sum of 10 and one-third of a number is 25.” She uses the bar model to write an equation to represent her stateme

Burka [1]

It says the sum, which hints that the two numbers will be added

So we can start the equation with 10+(1/3n)

we are then told they add up to 25
So they will equal 25

So the equation is
10+(1/3n)=25

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4 years ago

Read 2 more answers

I sold 8 of which were ducks what the next donut sold will be a duck

qaws [65]

I do not understand the equation specify so i can answer.

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3 years ago

Compare using < or > 8.86_ 8.65​

Compare using < or > 8.86_ 8.65