Question 4 of 10
Which set of values could be the side lengths of a 30-60-90 triangle?

Answer:

Solution:

(See the solution in the photo)

Answer:

[tex]\sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]

explanation:

[tex]\sf y = sin(x) * cos(2x)[/tex]

[tex]\rightarrow \sf \frac{d}{dx}\left(sin\left(x\right)\ * \:\:cos\left(2x\right)\right)[/tex]

[tex]\sf \bold {Apply\:the\:Product\:Rule}:\quad \left(f\cdot g\right)'=f\:'\cdot g+f\cdot g'[/tex]

[tex]\rightarrow \sf \frac{d}{dx}\left(\sin \left(x\right)\right)\cos \left(2x\right)+\frac{d}{dx}\left(\cos \left(2x\right)\right)\sin \left(x\right)[/tex]

[tex]\sf \bold{ Apply \ differentiation \ rule \ \ \ : } \ \ \ sin(x) = cos(x) \ \ and \ \ cos(x) = -sin(x)[/tex]

[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)+\left(-\sin \left(2x\right)\ * \:2\right)\sin \left(x\right)[/tex]

[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)\left-2\sin \left(2x\right)\sin \left(x\right)[/tex]

[tex]\sf \bold {use \ the \ formulae \ : \ cos(2x) = 2cos^2(x) - 1} \ {and} \ \ \sf \bold{sin(x) = 2 sin x cos x}[/tex]

[tex]\rightarrow \sf cos(x) (2cos^2 (x) -1) -2(2sin(x)cos(x)sin(x))[/tex]

[tex]\rightarrow \sf 2cos^3 (x) - cos(x) - 4sin^2(x) cos(x)[/tex]

[tex]\rightarrow \sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]

Answer:

(7, 3)

Step-by-step explanation:

If we reflect a point/figure across the y-axis, the rule is (x, y) -> (-x, y).  

Now, let's reflect it against the y-axis again.

As you can see, we're back to where we started- at (7, 3). Thus, we can conclude that reflecting across the y-axis twice will result in the original point/figure.

Answer:

0.878787 as a fraction equals 878787/1000000

Answer:

Step-by-step explanation: Thomas is very beautiful and he come to my house to visite it.

Answer:

The answ is 20 7/8

Step-by-step explanation:

Answer:

44 7/8

Step-by-step explanation:

Hope this helps!

And just to make sure do you mean twelve and seven eighths?

Answer:

25

Step-by-step explanation:

Answer: h(t)=[tex]16x^{2} \\\\[/tex]+80t+4

Step-by-step explanation:

80 if feet per second so it's 80*seconds where seconds equals t

this gets you 80*t or 80t.

You need to add 4 because that's the initial height to start with so 16x^2+80t+4

Answer:

The answer is A

Step-by-step explanation:

[tex] \: \: \: [/tex]

[tex] = \rm \large \frac{3 \frac{1}{2} - 9 \frac{3}{4} }{ - 2.5} [/tex]

[tex] \: \: [/tex]

[tex] = \rm \large \frac{ \frac{7}{2} - 9 \frac{3}{4} }{ - 2.5} [/tex]

[tex] \: \: [/tex]

[tex] = \rm \large \: \frac{ \frac{7}{2} - \frac{39}{4} }{ - 2.5} [/tex]

[tex] \: \: [/tex]

[tex]= \rm \large \: \frac{ \frac{25}{4} }{ - 2.5} [/tex]

[tex] \: \: \: [/tex]

[tex]= \rm \large \: \frac{5}{2} [/tex]

[tex] \: \: \: [/tex]

The probability (in percentage form) is 3.6%, so the correct option is the last one.

First, Janet is assigned to a car. We want to find the probability that it is a red car. All the cars have the same probability of being assigned, then the probability of getting a red car is equal to the quotient between the number of red cars and the total number of cars:

p = 2/(8) = 1/4

Now there is 1 red car left and 7 cars in total left.

Sarah is next on line, the probability that she gets a red car will be:

q = 1/7

The joint probability (the probability of both of these events happening) is given by the product of the two individual probabilities, so we get:

P = (1/4)*(1/7) = 0.036

If we multiply this by 100%, we get:

P = 100%*0.036 = 3.6%

So the correct option is the last one.

If you want to learn more about probability, you can read:

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What, do you want that thing to be answered? There is a app that does your math for you in a few seconds i hope ya know. I dont think anyone here could figure that out either.

Answer:

See below.

Step-by-step explanation:

x-5=7

 +5 +5

x=12

You would use the addition property of equality.

-hope it helps

The equation which shows the one way to determine the factors of provided equation by grouping is,

[tex]2x^2(6x-1)+3(6x-1)[/tex]

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The provided polynomial equation is,

[tex]12x^3 - 2x^2 +18x - 3[/tex]

To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.

[tex]12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)[/tex]

Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,

[tex]2x^2(6x-1)+3(6x-1)[/tex]

Learn more about factor of polynomial here;

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Answer:

c) (-3,1)

Step-by-step explanation:

See, the turning point here is the maximum point. The coordinates of the turning point will give you the maximum value of g.

Now, how will you know if it's maximum or minimum by seeing a graph? It's simple, a smiley curve has a minimum point and a sad curve has a maximum point.

I hope it helped.

the quadrilateral is also a rectangle as the rectangle and the quadrilateral have 4 sides.

The length of the guy wire (rounded to the nearest foot) is 20 ft. Then the correct option is A.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A guy wire supports a cell phone tower.

The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower.

Base = 34 ft.

The length of the wire will be given as

[tex]\rm Wire \ length = 34 * cos\ 55^o\\\\Wire \ length = 19.5 \approx 20 \ ft[/tex]

The length of the wire is 20 ft. Then the correct option is A.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

is 59ft

Step-by-step explanation:

just took the test

The fixed charge is about 5 pound. For extra 6 km, extra cost is about 9 pound

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value of y.

From the graph:

The fixed charge is about 5 pound.

Using the point (0, 5) and (20, 35)

Charge per mile = (35 - 5) / (20 - 0) = 1.5 pound per mile

For extra 6 km, extra cost = 1.5 * 6 km = 9 pound

Find out more on linear equation at: https://brainly.com/question/2972832

Answer:

Step-by-step explanation:

Note:

Circumference of a circle = [tex]\pi d[/tex]

Where d = diameter

We are given the diameter is 20cm, d = 20

Circumference of circle = [tex]\pi d[/tex] = 20 [tex]\pi[/tex]

Also, perimeter of a rectangle = 2 times length + 2 times width

We are told the length = 18 , width = x

Perimeter of rectangle = 2 times 18 + 2 times x

Perimeter of rectangle = 36 + 2x

The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:

So this means:

Since Circumference of circle = 20[tex]\pi[/tex]  ,

Perimeter of rectangle = 36 + 2x .

We can write:

Circumference of circle = perimeter of rectangle

20[tex]\pi[/tex]   = 36 + 2x

Subtract 36 from both sides

20[tex]\pi[/tex] - 36   = 2x

Divide both sides by 2 to solve for "x".

x = [tex]\frac{20\pi - 36 }{2} = ?[/tex]

Plug it into your calculator and then just round it to 1 decimal place.

[tex] - 1 - 5x + 6 - 30x \leqslant - 65[/tex]

[tex] - 35x + 5 \leqslant - 65[/tex]

Factoring -5

[tex] - 5(7x - 1) \leqslant - 65[/tex]

Divided sides by -5

##############################

Point :

If the sides of an inequality are multiplied by or divided by a negative number, the direction of the inequality changes and returns.

##############################

[tex] \frac{ - 5}{ - 5}(7x - 1) \geqslant \frac{ - 65}{ - 5} \\ [/tex]

[tex]7x - 1 \geqslant 13[/tex]

Plus sides 1

[tex]7x - 1 + 1 \geqslant 13 + 1[/tex]

[tex]7x \geqslant 14[/tex]

Divided sides by 7

[tex] \frac{7}{7}x \geqslant \frac{14}{7} \\ [/tex]

[tex]x \geqslant 2[/tex]

Done ♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

Answer:

n= -5

Step-by-step explanation:

1-n/5 = 12

cross 1 to the other side.

new equation :

-n/5 = 11

Multiple 5 on both sides

divide the negative sign on n on both sides

n = -55

what do you mean help? Help with what ask a question

Answer:2,286:L

Step-by-step explanation: you just round .

The 32000 divided by decimal 14 does not yield a whole number.

To determine if 32000 divided by 14 results in a whole number, to check if 14 is a factor of 32000. If it is, then the division will yield a whole number.

Let's divide 32000 by 14:

32000 ÷ 14 = 2285.7142857142857...

The division does not result in a whole number. The result has decimal places, indicating that 14 is not a factor of 32000.

To know more about decimal here

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#SPJ6

Answer: A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a geometrical object that is a three-dimensional analog to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the center of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians.

Step-by-step explanation: The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… The volume of Sphere. Enter the volume contained within a sphere. The radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.

Answer:

The maximum revenue is $320,000

Step-by-step explanation:

To find the maximum of a function f, the procedure is as follows:

The revenue function for a bicycle shop is

R(x)=xp(x), where p(x)=800-0.5x. Substituting:

[tex]R(x)=x(800-0.5x)=800x-0.5x^2[/tex]

Find the first derivative of R:

R'(x)=800-x

Equate to 0:

800-x=0

Solve:

x=800

There is only one critical point. Substitute it into the revenue function:

[tex]R(800)=800(800)-0.5(800)^2=320,000[/tex]

The maximum revenue is $320,000

A possible practical domain for the function is T > 12500

The domain are the input values for which a function exist.

Given the function relating the metal bar is L cm long when its temperature is T◦C as:

L(T) = 0.002T + 25

The domain of the expression is the point where 0.002T + 25 is greater than zero.

0.002T + 25 > 0

0.002T > -25
T > 12,500

Hence  a possible practical domain for the function is T > 12500

Learn more on domain here: https://brainly.com/question/26098895

Answer:

finde the equation exponent statment for the foollwing

The number 4 siblings are least likely to be selected

Probability is the likelihood of an event occurring or not. Probability value ranges from  impossibility(0) to certainty(1).

The lower the value, the less likely the event is bound to occur.

From the probability distribution table, the probability of having 4 siblings at the game is 0.

This is the lowest out of all the given values in the probability distribution table. Therefore, it is the least likely event.

Thus the number 4 siblings are least likely to be selected

To know more about probability follow

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Answer:
With respect to angle A, a is opposite, b is adjacent, c is the hypotenuse

With respect to angle B, b is opposite, a adjacent, and c is the hypotenuse.

Step-by-step explaination:

To find the opposite side of an angle of a right triangle - look at the side that is directly across from that angle.  For example, angle A shows that the side directly across from it is side a.

To find the adjacent side of an angle of a right triangle - look at the side that is right next to it and connected to the 90 degree angle.  For example, angle B shows that the side that is next to it and connected to the 90 degree angle is side b.

The hypotenuse will always be the longest side opposite the 90 degree angle.

n<DEH =

Exact form:

x = 29/2

Decimal form:

x = 14.5

Mixed number form:

x = 14 1/2

Total:

(12x+6) = 180

n<HEG =

Exact form:

x = 179/7

Decimal form:

x = 25.57142857

Mixed number form:

x = 25 4/7

Total:

(7x+1) = 180

n<GEF =

Exact form:

x = 91/3

Decimal form:

x = 30.3

Mixed number form:

x = 30 1/3

Total:

(6x-2) = 180

Answer:

the Mindanao part of the Philippines they have MUSIC OF MINDANAO that originates from the people living there. They have names for the different music that they play and perform. One of these is the CHANT(S), which is the lyrical rendition of different improvised text. Every culture differs and possess a very good way of performing their own and unique music. An example of this is LUGU which is a Chant that they use in reading his Qur'an and other books they use in his Islam religion.

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