what is the exact value of cos(11pi/21)cos(pi/7)-sin(11pi/21)sin(pi/7)?

a. -squr3/2
b. -1/2
c. 1/2
d. squr3/2​

Answer:

No, he won't

Step-by-step explanation:

Given

Target = 480 pages in 28 days

Rate = 60 pages in 4 days

Required:

Determine if he'll reach his target

The rate can be expressed using:

[tex]Rate = \frac{Pages}{Days}[/tex]

So, we have:

[tex]Rate = \frac{60\ pages}{4\ days}[/tex]

Multiply the fraction by [tex]\frac{7}{7}[/tex]

[tex]Rate = \frac{60\ pages}{4\ days} * \frac{7}{7}[/tex]

[tex]Rate = \frac{60\ pages * 7}{4\ days * 7}[/tex]

[tex]Rate = \frac{420\ pages}{28\ days}[/tex]

This can be interpreted as: 420 pages in 28 days

And his target is 480 pages in 28 days

Hence, he wont finish the book at that rate

Answer:

2

Step-by-step explanation:

because their is 2 x's

Answer:

false

Step-by-step explanation:

There were 30 boys in Orchestra.

We have,

Total students in Orchestra= 75

Ratio of Girls to Boys = 3 :2

So, Number of Girls in Orchestra

= 3/5 x 75

= 3 x 15

= 45

and, Number of Boys in Orchestra

= 2/5 x 75

= 2 x 15

= 30

Thus, 30 Boys were in Orchestra.

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Answer:

X<5

Step-by-step explanation:

Divide by 2

Answer=5

Step-by-step explanation:

You can solve this question step by step as follows;

here

2x<10

place 2 to another side and you know it divides 10

or, x<10/2

or,x<5

therefore the answer is 5

Answer:

3

Step-by-step explanation:

Given that:

Weight of shipment = 40 1/2 kg

Weight per bag = 13 1/2 kg

The value of 40 1/2 divided by 13 1/2 will be ;

40 1/2 ÷ 13 1/2

81 /2 ÷ 27 /2

81/2 * 2/27

= 162 /54

= 3

Answer:

Step-by-step explanation:

One zettabyte is equal to 1, 000 exabytes or 1021 or 1, 000, 000, 000, 000, 000, 000, 000 bytes. A zettabyte is a little bit smaller than zebibyte that contains 1, 180, 591, 620, 717, 411, 303, 424 (2^70) bytes, and is abbreviated as “ZB”.

Answer:

m = -3

Step-by-step explanation:

-2m=6

Divide both sides by (-2).

m = 6 ÷ (-2)

m = -3

Answer:

B. -2 *4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

charged = $40 call fee

additional charges= $15 per mile

let the number of miles be m

and let the total charges be c

Required, the linear function which represents the total charges

Step two:

the equation for the charges in slope-intercept form is

c=15m+40

Answer: 6

Step-by-step explanation: The y-intercept is 6 and the slope is -2.

First, we subtract 10x.

5y = -10x+30

Then we divide by 5.

y = -2x + 6

Now we have everything we need!

So the y-intercept is 6.

Hope this helps! :)

The y-intercept is "6".

Given:

[tex]10x+5y=30[/tex]

y-intercept

[tex]10x+5y=30[/tex] y-intercepts

When y-intercepts the value it indicates that x=0 then

[tex]\to 10x+5y=30\\\\\to 10(0)+5y=30\\\\\to 5y=30\\\\\to y=\frac{30}{5}\\\\\to y=6[/tex]

When the y-intercept is value will be "6".

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Answer:

For a line:

y = a*x + b

where a is the slope, and b is the y-intercept.

Any other line with the same slope but different y-intercept will be parallel to this line.

Then if we have two lines like:

y1 = a*x + c

and

y2 = a*x + k

Both of them are parallel to our first line, and as you can see, both of them have the same slope and different y-intercept, then these lines are also parallel.

Now, the statement says that:

"If two lines are parallel to the same line..."

Then we can have the lines:

y1 = a*x + k

y2 = a*x + k

Both of them are parallel to our first line (same slope)

Buth these lines are the same line, then these lines are not parallel to each other (a line is not parallel to itself, because it intersects itself in infinity points), then the actual statement should be:

"If two different lines are parallel to the same line, then they are parallel to each other".

Now, this theorem does not have a particular name, just call it as the above statement.

Answer:

[tex]\displaystyle \frac{x^2+3x+2}{1-x}<0[/tex]

Step-by-step explanation:

Rational Inequality

We are given the solution of rational inequality:

(-2,-1) U (1,∞)

The first set suggests a limited zone than can be obtained by a quadratic equation of the form:

[tex](x-a)(x-b)<0[/tex]

Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:

[tex](x+2)(x+1)<0[/tex]

Operating:

[tex]x^2+3x+2<0[/tex]

The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.

Thus, one possible inequality is:

[tex]\mathbf{\displaystyle \frac{x^2+3x+2}{1-x}<0}[/tex]

The solution to the inequality (-2,-1)U(1, ∞) is (-2, ∞)

An inequality is an expression used to show the relationship between two or more numbers and variables.

A rational inequality is an inequality that contains a rational expression.

Given the inequality (-2,-1)U(1, ∞).

The solution to the inequality is (-2, ∞)

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Answer: you add 1/6 each time and add the hour until you get 2/3

Step-by-step explanation: 1/6=1 1/3=2 and you keep going

Answer:

You can use the number line to find how many hours it will take the company to build the fence by multiplying whatever number you land on by 6

Step-by-step explanation:

If they build one mile of fence, it took 6 hours to build that much

If they build three miles of fence, it took them 18 hours to build that much

And so on and so forth

Answer:  0.0386

Step-by-step explanation:

Given: The population of 400 tall women has a mean height[tex](\mu)[/tex] of 179.832 cm and a standard deviation[tex](\sigma)[/tex] of 12.192 cm.

Let X be a random variable that represents the height of woman.

Sample size : n= 50

The probability that the mean for this sample group is above 182.88 will be :

[tex]P(\overline{X}>182.88)\\\\=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{182.88-179.832}{\dfrac{12.192}{\sqrt{50}}})\\\\ =P(Z>1.7678)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z<1.7678)\\\\=1-0.9614\ \ \ [\text{By p-value table}]\\\\= 0.0386[/tex]

Hence, Required probability =  0.0386

Answer:

9x^2-3x - 12

Step-by-step explanation:

(9x^2 + 6x - 7) + (-9x -5)

Simplify the expression:

9x^2 - 3x - 12

Factor:

Add and subtract the second term to the expression and factor by grouping.

3( x + 1 ) ( 3x - 4 )

Standard form:

9x^2 - 3x - 12

I hope this helps :)

Answer:

For a, the machine depreciates 20% of its current value each year.  So, It will lose 20% of its value in the first year.  Then in the second year, it will lose 20% of THAT value (not of the original value) and so on.

b) Since the machine loses 20% of its value each year, it retains 80% of its value each

Answer:

x = 24

Step-by-step explanation:

Here, The Right angled triangle is given

So, The sum of angles of right angled triangle is 180

Now,

2x + 42 + 90 = 180

2x + 132 = 180

2x = 180 - 132

2x = 48

x = 48/2

x = 24

2x + 42 + 90 = 180

2(24) + 42 + 90 = 180

48 + 42 + 90 = 180

180 = 180

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

504 m³

Step-by-step explanation:

The volume of the rectangular prism is V = 504 m³

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Let the volume of the prism be represented as V

Now , the value of V is

Let the height of the rectangular prism be H = 9 m

Let the length of the rectangular prism be L = 7 m

Let the width of the rectangular prism B = 8 m

where the base area of prism B = L x W = 7 x 8 = 56 m²

Now , the volume of the prism V = B x H

The volume of prism V = 56 x 9 = 504 m³

Hence , the volume of the rectangular prism V = 504 m³

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Answer:

Wouldn't it be just 2 since it's already solved

Answer: 0.27

Step-by-step explanation:

Given that :

Probability of being a strike ; p(strike) = 0.3

Note : the probability of each pitch Beau is independent :

Probability that next three will be a strike :

p(strike) * p(strike) * p(strike)

= 0.3 * 0.3 * 0.3

= 0.27

Answer:

4602

Step-by-step explanation:

Answer:75 × 62 - 58 + 68 - 58 = 4602

Step-by-step explanation:

Answer:

A EDGE 2021!

Step-by-step explanation:

Answer:

x=-64/11

Step-by-step explanation:

3x-14x-42=22

-11x-42=22

-11x-42+42=22+42

-11x=64

Answer:

[tex] - 5 \frac{9}{11} [/tex]

Step-by-step explanation:

[tex]3x - 7(2x + 6) = 22 \\ \\ 3x - 14x - 42 = 22 \\ \\ - 11x = 22 + 42 \\ \\ - 11x = 64 \\ \\ x = \frac{64}{ - 11} \\ \\ x = - 5 \frac{9}{11} [/tex]

Answer:

y = x + 4

Step-by-step explanation:

For a line to be Parallel it has to have the same slope but different y intercept

Answer:

1

Step-by-step explanation:

This equation is written in the

y = mx + b,

where "m" is the slope, and "b" is the y-intercept.

In this case, m=1, hence the "x" has no coefficient; therefore, the slope of the given line is 1.

When 2 lines are parallel, they run next to each other, for infinitely long, yet they never touch. This means that 2 parallel lines have the same slope. Hence a line running parallel to the given one will also have a slope of 1.

Answer:y-10=5/2(x-4) (the third choice)

Step-by-step explanation:

Point slope form is

y-y1=m(x-x1)

So y-10=5/2(x-4)

The result of 392,196 divided by 87 is 4,508.

Long division is a mathematical process to divide numbers by using multiple steps. This process is applied to big numbers because it facilitates the process of dividing without using a calculator.

Here are the steps you need to follow:

1. Identify the divident and the divisor.

Divident: 392,196

Divisor: 87 (number that divides)

2. Start dividing using one number at a time.

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