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3 years ago

Seven less than two times a number is 29.

1 answer:

4 0

2x-7=29

"Seven less than" => minus 7.
"Two times <u>a number</u>" => 2x (x is the unknown number)
"is twenty-nine" => =29
Putting it all together,

-7 + 2x = 29
or
2x-7=29
(if you were wondering x is equal to 18)

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two airplanes are flying in the air at the same height: airplane a is flying east at $$ mi/h and airplane b is flying north at $

olga55 [171]

The distance between the airplanes changing is -390.

<h3>Calculation:</h3>

The miles from the airport to Airplane A can be calculated as follows: a = 30 -250t, where t is in hours.

<h3>Similar to airplane A, airplane B's distance from the airport can be expressed as...</h3>

b = 40 -300t

Using the Pythagorean theorem, one can calculate the separation (d) between the aircraft:

d^2 = a^2 + b^2

<h3>Depending on the passage of time, we have...</h3>

2dd' = 2aa' + 2bb', and d' = (aa' + bb')/d.

<h3>The values of its variables at t=0 must be determined in order to determine the numerical value of this</h3>

a = 30 -2500 = 30 a' = -250 b = 40 -3000 = 40 b' = -300

d = √(a²+b²) = √(900+1600) = 50

Then, d' = (30(-250) +40(-300))/50 = -19500/50 = -390

At a speed of 390 miles per hour, the space between the aircraft is closing.

<h3>How far apart are the equation's two planes?</h3>

The distance between the two planes is going to be the square root of six, therefore if we solve for d, multiply both sides of this equation by the square root of six, we obtain six is equal to negative d, or d is equal to negative six.

<h3>How widely apart are commercial airplanes?</h3>

For a commercial airliner, separation will typically be at least 3 miles laterally or 1,000 feet vertically (as stated in the question). The 5 mile rule is applied laterally in the enroute environment, at greater operating speeds over 10,000 feet, depending on the kind of radar and distance from the antennae.

To know more about Distance visit:-

brainly.com/question/15172156

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4 0

1 year ago

What is the length of chord XY

Sergeeva-Olga [200]

Answer:

$|XY|=18cm$

Step-by-step explanation:

Since the chord is a tangent to the smaller circle, it will meet the radius of the smaller circle at right angle.

Let $d$ be the length of half of the chord. See diagram in attachment.

Then from Pythagoras Theorem,

$d^2+12^2=15^2$

$\Rightarrow d^2+144=225$

$\Rightarrow d^2=225-144$

$\Rightarrow d^2=81$

We take the positive square root of both sides to obtain,

$d=\sqrt{81}=9$

The length of the chord is

$2d=2(9)=18cm$

The correct answer is A

7 0

3 years ago

5/13 as a decimal rounded to the nearest hundredth

motikmotik

Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

5 0

3 years ago

Read 2 more answers

Could someone please help me? Thank you and explain the work because I don’t get this

lesya [120]

Answer:

5.59 times per second.

Step-by-step explanation:

Direct variation is in the form:

$y=kx$

Where <em>k</em> is the constant of variation.

Inverse variation is in the form:

$\displaystyle y=\frac{k}{x}$

In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:

$\displaystyle f=\frac{k}{\ell}$

We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:

$\displaystyle 4.3=\frac{k}{0.65}$

Solve for <em>k: </em>

<em />

So, our equation becomes:

$\displaystyle f=\frac{2.795}{\ell}$

Then when the length is 0.5 meters, the frequency will be:

$\displaystyle f=\frac{2.795}{.5}=5.59\text{ times per second.}$

5 0

3 years ago

Whats equivalent to 14(8−6x+12)

iren2701 [21]

We can use the distributive property to set up an expression that is equal to this problem.

14 times 8 is 112
14 times -6 is -84x
14 times 12 is 168
(If you don't know the distributive property ask and I can explain it)

We can combine that together to get:

112 +168 -84x
Or, condense it further:

280-84x is equivalent to 14(8-6x+12)

8 0

3 years ago

Read 2 more answers