A bookcase contains these books. 36 cookbooks 17 autobiographies
39 novels 22 reference books One book is selected at random from the bookcase. Based on the information, which statement is true?
A The book is twice as likely to be a cookbook as a reference book.
B The book is just as likely to be a novel as it is to be an autobiography or a reference book.
C. The book is more likely to be a cookbook than a novel.
D. The item is half as likely to be a reference book as a novel.

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:

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:

Step-by-step explanation:

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:

d

Step-by-step explanation:

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

Answer:

89 degrees

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

180 - 91 = 89

Answer: Is correct trust me.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

2/24

Step-by-step explanation:

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

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:

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!

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:

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:

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

Answer:

[tex]86[/tex]

Step-by-step explanation:

The remaining part forms 360. so

[tex]233 + 41 + x = 360[/tex]

[tex]274 + x = 360[/tex]

[tex]x = 86[/tex]

Answer:

if you’re looking for b,

B = 86

sorry if wrong

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:

80 + 20

Step-by-step explanation:

4(20 + 5)

4×20 + 4×5

80 + 20

Responder:

3 * 10²

4 * 10³

5 * 10⁴

7 * 10 ^ 5

Explicação passo a passo:

Expressando o seguinte como um produto de um número natural e uma potência base de 10.

Lembrar :

10 = 10¹

100 = 10 * 10 = 10²

1000 = 10 * 10 * 10 = 10³

Portanto,

300 = 3 * 100 = 3 * (10 * 10) = 3 * 10²

4000 = 4 * 1000 = 4 * (10 * 10 * 10) = 4 * 10³

50000 = 5 * 10000 = 5 * (10 * 10 * 10 * 10) = 5 * 10⁴

700000 = 7 * 100000 = 7 * (10 * 10 * 10 * 10 * 10) = 7 * 10 ^ 5

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:

we dont know how much liquid it is

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:2750 milliliters

Step-by-step explanation:

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

Answer:

60

Step-by-step explanation:

calculated it with scientific calculator

Answer:

A rectangle.

Step-by-step explanation:

The shape of the data distribution is a rectangle.

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

Answer:

its easy answer is certain

Answer:

Mean: 16.6 | Median: 17 | Mode: 17

Step-by-step explanation: