1. A coin is tossed once, what is the probability of getting a head​

Answer:

2sin^2(3x)

Step-by-step explanation:

The given expression is equivalent to [tex]2\sin^{2}{3x}[/tex].

What is trigonometry identity?

When trigonometric functions are used in an expression or equation, trigonometric Identities come in handy.

One of the trigonometry identity is  [tex]\cos2x=2\cos^{2} x-1[/tex].

What is the simplified expression for given expression?

In the given expression [tex]\cos6x[/tex] can be break as [tex]\cos(2\cdot3x)[/tex].

Now use the identity [tex]\cos2x=2\cos^{2} x-1[/tex] in the given expression.

[tex]1-\cos6x=1-2\cos^{2}{3x}+1[/tex]

[tex]=2(1-\cos^{2}{3x})[/tex]

Now use the identity [tex]1-\cos^{2}x=\sin^{2}x[/tex].

[tex]1-\cos6x=2\sin^{2}{3x}[/tex].

Therefore, the given expression is equivalent to [tex]2\sin^{2}{3x}[/tex].

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Answer:

8x-8

Step-by-step explanation:

P=s+s+s+s or in this case P= 2l+2w

P= 2(x-5)+2(3x+1)

P=(2x-10)+(6x+2)

P=8x-8

8x-8 will be the perimeter of a rectangle with length (x-5) and width (3x+1).

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Given that,

Length of rectangle = x - 5

Width of rectangle = 3x + 1

Now,

Perimeter of rectangle = 2(width + length)

Perimeter of rectangle = 2(3x + 1 + x - 5)

The perimeter of the rectangle = 8x - 8

Hence "8x-8 will be the perimeter of a rectangle with length (x-5) and width (3x+1)".

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Answer:

the triangle is right

Step-by-step explanation:

The Pythagorean theorem dictates that a^2 +b^2=c^2

6^2+8^2=10^2

36+64=100

100=100

Answer:

we dont know how much liquid it is

Answer:

80 + 20

Step-by-step explanation:

4(20 + 5)

4×20 + 4×5

80 + 20

Answer:

d

Step-by-step explanation:

right on edge, the one talking abt: devon SHOULD FAIL TO REJECT....... more than 72%

Answer:

B.  6Fx + 6Gy = 6H

   Qx + Ry = S

Step-by-step explanation:

Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.

_____

Comments on other choices

A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.

B: the correct choice

C: see A.

D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.

Answer:

6Fx + 6Gy = 6H

  Qx + Ry = S

Step-by-step explanation:

Answer:

A rectangle.

Step-by-step explanation:

The shape of the data distribution is a rectangle.

Answer:

Step-by-step explanation:

The following is a right angle

If this helped you a Brainliest would be much appreciated!

Answer:

it is a right angle which is 90 degrees

Answer:2750 milliliters

Step-by-step explanation:

because 0.55Lx5=2.75L.and if we put it into  milliliters it would be 2750 milliliters

Answer:

Step-by-step explanation:

Angles EBC and EDC are the same. and straight lines equal 180

so now to solve for x

[tex]180=134+10x+6\\180-134=134+10x+6-134\\46=10x+6\\46-6=10x+6-6\\40=10x\\40/10=10x/10\\4=x[/tex]

Answer:

60

Step-by-step explanation:

calculated it with scientific calculator

Answer: $53.24

Step-by-step explanation:

Find the sales tax:

9.5*63.00=598.5

Then divide 598.5 by 100: 598.5/100= 5.985

Round: $5.99 ( sale tax amount )

Now we find the discount: 25*63.00= 1,575

Then divide it by 100 : 1,575/100= $15.75 ( discount amount )

Take the original price of the game and subtract it by the discount amount, then add the sales tax amount: 63.00-15.75= 47.25+5.99= $53.24

Answer: $53.24

Your welcome :)

Answer:

x<3

Step-by-step explanation:

let us solve this inequality step-by-step

2x+7<13

step 1: subtract 7 from both sides

2x+7−7<13−7

2x<6

step 2: divide both sides by 2

2x/2<6/2

step 3: simplify

x<3

good luck :)

i hope this helps

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have a nice day!

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

Answer:

2/24

Step-by-step explanation:

This is because there are chance of getting the other colors.

Answer:

according to the question value got less 12% each year

first of all the 12% of 29000$ = 29000÷100×12= 3480 $

in one year truck value deprecates 3480$

in 10 years it will 3480$×10 =34800$

now truck cost will be = 29000-34800$= -5000$

Answer:

Mean: 16.6 | Median: 17 | Mode: 17

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

There is 2.887 quarts of oil in the funnel

Step-by-step explanation:

Complete question

A funnel is in the shape of a cone with a radius of 4 inches and a height of

10 inches. The funnel is filled with oil. How many quarts of oil are in the funnel?

Solution

As we know, volume of the cone is given by

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

Here,

V = volume of the cone

r is the radius of the base of the cone

h is the height of the cone

Substituting the given values in above equation, we get -

[tex]V = \frac{1}{3} *3.14*4*4*10\\V = 167.467[/tex] Cubic inch

As given

1 quarts = 58 cubic inch

Total number of quarts of oil

[tex]\frac{167.467}{58} \\2.887[/tex]

There is 2.887 quarts of oil in the funnel

Answer:

12

0.6/0.05

(0.6 x 100) / (0.05 x 100)

= 60/5 = 12

Step-by-step explanation:

number of pieces = total weight of the cheese / weight of each piece

0.6 / 0.05

to divide easily, convert the decimals to whole number by multiply both the denominator and numerator by 100

(0.6 x 100) / (0.05 x 100)

= 60/5 = 12

Answer:

80 Strawberries

Step-by-step explanation:

If she picked 120 strawberries in 6 hours

Then in 1hour she picked 120/6 = 20 strawberries

Then in 4 hours she picked 20×4 = 80 strawberries

If possible is to impossible then certain is to uncertain..

Answer:

its easy answer is certain

Answer: Is correct trust me.

Step-by-step explanation:

The root is the x intercepts or the zeros of the problem

If I were to graph

(x-5)(x+4)=0

We need a number for x which makes this equation 0

The numbers are 5 or -4

These are the x intercepts of the parabola or roots

Answer:

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Step-by-step explanation:

Answer: W=15

Step-by-step explanation: The equation you set up is 2(L) + 2(W)=74

2(22) + 2W=74

44+2W=74

Subtract 44 from both sides

2W=30

Divide both sides by 2

W=15