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3 years ago

On a special right triangle if the sides are 6 and 6 then what is the hypothinus

1 answer:

4 0

We are talking about a right triangle so the phytagoras equation can be used:
$a^{2} + b^{2} = c^{2}$
$6^{2} + 6^{2} = 36 + 36 = 72 = c^{2}$
$\sqrt{ c^{2} } = \sqrt{72} =8.48528...$
So the hypothinus is equal to approximately 8.49

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A jet travels 4680 miles against the wind in eight hours and 5720 miles in the wind in the same amount of time what is the rate

Kryger [21]

9514 1404 393

Answer:

jet: 650 mph
wind: 65 mph

Step-by-step explanation:

The speed against the wind is ...

4680 mi/(8 h) = 585 mi/h

The speed with the wind is ...

5720 mi/(8 h) = 715 mi/h

The speed of the airplane in still air is the average of these speeds:

(585 +715)/2 = 650 mi/h . . . speed in still air

The speed of the wind is the difference between the airplane speed and the speed in the wind:

715 -650 = 65 mi/h . . . speed of the wind

_____

<em>Additional comment</em>

If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...

p + a = with

p - a = against

If we average these, we get ...

((p +a) +(p -a))/2 = (with + against)/2

p = (with + against)/2 . . . . . . . the formula we used above

8 0

2 years ago

In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop

babymother [125]

Answer:

The rate at which the total income is increasing is$1627415600

Step-by-step explanation:

From the given data

Population in the area=P=961400

The rate of increase in population=dP/dt=9200

The Average Income=I=$30593

The rate of increase in Average Income=dI/dt=$1400

Now the total income is given as

Total Income=TI=PI

So the rate of increase of total personal income is given as $\frac{d}{dt}(PI)$

From the product rule of derivatives

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}$

Here

I is the Average Income which is given as $30593

dI/dt is the rate of increase of income which is given as $1400.

P is the population of the area which is given as 961400

dP/dt=9200 is the rate of increase of population which is given as 9200

By substituting the values,

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}\\\frac{d}{dt}(P*I)=30593*9200+961400*1400\\\frac{d}{dt}(P*I)=\$1627415600$

So the rate at which the total income is increasing is$1627415600

8 0

3 years ago

Please Help I Don't Understand!

Irina18 [472]

Answer:

D) None of the choices are correct.

Explanation:

Given triangles AHL and NKG

Sides which are congruent:

AH and NK

HL and KG

AL and NG

So, AHL ≅ NKG. There are no such options.

7 0

1 year ago

Please help thank you.

alekssr [168]

Hello!

First you have to find BO

BC = 27
AO = CO
CO = 24

BO = 27 + 24

BO = 51

Now we use the Pythagorean Theorem

24^2 + b^2 = 51^2

Square the numbers

576 + b^2 = 2601

Subtract 576 from both sides

b^2 = 2025

Take the square root

b = 45

The answer is A) 45

Hope this helps!

6 0

3 years ago

Which of the following graphs is the solution set of -10 < 3x - 4<8?

TEA [102]

Answer:

The third one

Step-by-step explanation:

The image above is the explanation, hopefully its help

5 0

2 years ago