Assuming that no denominator equals zero, what is the simplest form of this expression?

The rate is the plane gaining altitude (y) is 300 m/sec and The horizontal component (x) of velocity for the plane is 400 m/sec.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees with the horizontal.

A.  The rate is the plane gaining altitude (y) will be

[tex]\rm y = v * sin \theta\\\\y = 500 *sin 37\\\\y = 300 \ m/sec[/tex]

The rate is the plane gaining altitude (y) is 300 m/sec

B.  The horizontal component (x) of velocity for the plane will be

[tex]\rm x = v * cos \theta\\\\x= 500 *cos 37\\\\x = 400 \ m/sec[/tex]

The horizontal component (x) of velocity for the plane is 400 m/sec.

More about the trigonometry link is given below.

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Answer:

54π

Step-by-step explanation:

The volume for a cone is πr²h/3, which if we replace the number in, we get :

π6²4,5/3, which is approximately 54π

Hope it helps :)

Answer:

YELLOW

Step-by-step explanation:

Just always keep this tip in mind:

A negative times a positive is a negative, and a negative times another negative cancels out to become a positive.

If there is an odd number of negatives multiplied together, the outcome will always be negative.

As a result of inflation, the worth of the house today is $619,149.51.

Inflation is the persistent rise in the general price levels. As a result of inflation, the value of the house would increase overtime.

The formula for calculating future value:

FV = P (1 + r)^n

Where:

FV = Future value

P = Present value

R = interest rate

N = number of years

$160,000x (1.07)^20 = $619,149.51

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Answer:7351

Step-by-step explanation:

Answer:

456566654

Step-by-step explanation:

Hi!

I can help you with joy!

How to Find the Reciprocal of a Number?

[tex]\star\bigstar[/tex] Simply flop the number over.

Example: Suppose we need to find the reciprocal of 2.

We flop it over and get

[tex]\displaystyle\frac{1}{2}[/tex]

Thus, the reciprocal of -3 is

[tex]\displaystyle-\frac{1}{3}[/tex]

Hope it helps!

Enjoy your day! :)

[tex]\bf{-MistySparkles^**^*[/tex]

Answer:

1. 50

2.40

3. 9

Step-by-step explanation:

1. in this u need u plus ten with number given

2. in this u need to plus 5 in all the above numbers but i have subtracted bcoz it was below

3. in this u need to multiply 3 with every number like 9*3 27

hope it helps

Answer:

(x,y) (-6,2)

Step-by-step explanation:

3x+11y =4

-2x-6y=0

3x+11y = 4

x= -3y ( add this for x)

3(-3y) +11y =4

-9 +11y =4

2y = 4

y = 2

slove for x now

x =3x2

x = -6

answer

(x,y)(-6,2)

Answer:

1,2,3,4,6,12

Step-by-step explanation:

Answer:

1,2,3,4,6,12

Step-by-step explanation:

1x12=12

2x6=12

3x4=12

4x3=12

6x2=12

12x1=12

Answer:

Step-by-step explanation:

how the heck are we supposed to know this?????

Answer:

You use multiplyers

Answer:

112.34

Step-by-step explanation:

The 2nd digit after the decimal point is in the hundredths position.

• If the digit following is ≥ 5 then round up

• If the digit following is < 5 then leave digit as it is

here the digit following the 3 in the hundredths position is 9 so round up

112.3398 ≈ 112.34 ( to the nearest hundredth )

The distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units

Orbital period is the time period, which is required for a planet or one astronomical body to revolve completely around the other body.

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula

[tex]P =a^{3/2}[/tex]

The orbital period of Saturn is 29. 5 years. To find the value of distance of Saturn from the Sun, put the values in the above formula as,

[tex]29.5=a^{3/2}\\a=29.5^{3/2}\\a=9.54732\rm[/tex]

Thus, the distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units.

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Step-by-step explanation:

The initial value of a function is the output value of the function when the input value is 0. For example, if your function is tracking how much money you made over a certain amount of time, then the initial value would be however much money you had to begin with on day 0.

[tex] \looparrowright \sf13x + 2 = 4x + 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf13x - 4x + 2 = 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x + 2 = 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x = 38 - 2[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x = 36[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = \dfrac{36}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = 4[/tex]

Answer:

Step-by-step explanation:

[tex]13x + 2 = 4x + 38 \\ 13x - 4x = 38 - 2 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]

The range of the given function is [-2,∞).

the range is the complete set of all possible values of the dependent variable say 'y'.

given function is:  f(x)=  |x – 12| – 2

f(x) = x-14  ∀ x≥12

f(x) = -x+10 ∀ x < 12

value of the above function at x=12 will be -2 means the minimum value of the function will be -2.

now, from the graph, we can see that f(x) is leading to infinity

so the range will be [-2,∞).

therefore, The range of the given function is [-2,∞).

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The range of the function is all real number of input value (y-value) grater than or equal to -2.

Range of a function is the set of all the possible output values which are valid for that function.

The function given in the problem is,

[tex]g(x) = |x - 12| - 2[/tex]

Lets, compare the above function with the vertex form of the absolute function. The vertex form of the absolute function with vertex (h, k) can be given as,

[tex]y=a|x-h|+k[/tex]

On comparing the vertex form with the given equation, we get,

[tex]h=12\\k=-2[/tex]

Now, as the tange of a function is the set of all the possible output values which are valid for that function.

Here, the function does not take the value which are less than -2. Hence, the range of the function is all real number of input value (y-value) grater than or equal to -2.

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Answer:

154in²

Step-by-step explanation:

4.5 ft = 54in

2(54 + 23) = 154in²

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

There we go :))

As per questions:-

Image 1:-

[tex]x = 15 \sqrt{3} \\ y = 30[/tex]

Image 2:-

[tex]x = 16 \\ y = 8[/tex]

Image 3:-

[tex]x = 8 \\ y = 4[/tex]

(Also check the attached 3 images for explanation.

If using Brainly app, please swipe the images to the right to see the remaining images.)

Answer/Step-by-step explanation:

In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line.

Brainliest?!

Answer:

b

Step-by-step explanation:

remember that m is the slope and b is the y intercept.

y is your output value and x is your input.

Answer: 3/14!

Your welcome!

Step-by-step explanation: The probability P is actually formulated as "the successful outcomes S" over "the total number of possible outcomes T," that is P = S/T You are expecting to draw a blue card. Therefore the probability will beP (one blue card) = 6/28 = 3/14!

Answer:

y=-6/10x+17/11

Step-by-step explanation:

1-5 keep it, change it, flip it. -6

12-2= 10

y=-6/10x+b

you can take one of the coordinates

I used (2,5) in the equation.

y is 5

m is -6/10

x is 2

-6/10x2 is -12/10

remember to drop down 5

5= -12/10+b

look for fluffy cloud -12/10 turn it to a positive and add it to five and the answer is 17/11 equals b.

Answer:

x=6

Step-by-step explanation:

3x+19=7x-5

First of all you have to group like terms

19+5=7x-3x

24 = 4x

4 4

6=x

The table on the left is arithmetic

This is because each term is increasing by the same amount (2) each time.

--------------------------------------------

The table on the right is geometric

Why? Because this time we are multiplying each term by the same value (2) to get the next term.

Both involve the number 2, but the first table uses addition while the second table uses multiplication.

1) Arithmetic

~3,5,7

common difference of 2

2)Geometric

~3,6,12

each term is found by multiplying the previous one by a fixed number

Hopefully this helped- have a good day)

Answer:

The equation can't use any number that isn't 2 and the answer can only have 4 twos. They have to have a combination of addition, subtraction, multiplication, and division. Not all of them have to be used though.

Step-by-step explanation:

Answer: 120

Step-by-step explanation: Jerry Would Seal 420 In 1 Hour, and Marco's would seal 300 in 1 hour, so Jerry sealed 120 more than Marco's.

Answer:

The answer is 120

Step-by-step explanation:

Answer:

  a) a +8a +3a = 180°

  b) 15°, 45°, 120°

  c) see attached

Step-by-step explanation:

Let 'a' represent the measure of the smallest angle. The largest angle is 8a, and the middle angle is 3a. The sum of angles, as always, is 180°.

  a +8a +3a = 180° . . . . . . equation modeling the relationship

__

  12a = 180° . . . . . . collect terms

  a = 15° . . . . . . . divide by 12

  3a = 3×15° = 45°

  8a = 8×15° = 120°

The angle measures are 15°, 45°, and 120°.

__

see attached. We have arbitrarily let the shortest side be 10 units.

The joining of each three, two penultimate points on the circumference

of the circle, without intersection gives an equilateral triangle.

Response:

The assumption can be taken that, the steps used to construct the

equilateral triangle inscribed in the circle by marking along the

circumference of the circle at 6 points using the radial length.

Therefore;

The lengths of the chords formed by joining a marked points to another point such that one marked point is between the two are equal.

Which gives;

The length of the chord, DF = The length of the chord, BF = The length of the chord, BD

Given that the joining DF, BF and BD forms a triangle, and DF = BF = BD, we have;

ΔBDF is an equilateral triangle, therefore;

To finish his construction, Zahid needs to draw segments DF;

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