using trig to find side

The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

Answer:

3 (-4)² - 3(-4) + 1/-4

= 3(16) + 12 - 1/4

= 48 + 12 - 1/4

= 59.75

Answer: In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Step-by-step explanation:

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Step-by-step explanation:

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

To factor the given trinomial, follow these steps:

Write two factors, two binomials, the first term of each binomial will be x:

The sign of the first binomial will be the first sign of the original trinomial, and the sign of the second binomial will be the product of the two sing in the trinomial (+*+).

The independent terms of the binomials will be 2 numbers, the sum of these numbers has to be 13 and the product of them has to be 40, these numbers are 8 and 5:

It means that the correct answer is A. x+5.

Answer:

$45

Step-by-step explanation:

The watch was sold on sale of 40%. This means that the price of the watch on sale is 60% of the original price. (100%-40%=60%)

So, you find the 60% of the original price, $75.

75*0.6=45

Hope that helps!!!

With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.

To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.

Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:

Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound

Cost of one ounce of flour = $12 / 16 ounces

Cost of one ounce of flour = $0.75

Therefore, the cost of one ounce of flour is $0.75.

To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:

Number of ounces of flour = Total money / Cost of one ounce of flour

Number of ounces of flour = $3.30 / $0.75

Number of ounces of flour ≈ 4.4 ounce

Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.

In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.

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Answer:

1/8

Step-by-step explanation:

1 divided by 2 = 1/2

1/2 divided by 2 = 1/4

1/4 divided by 2 = 1/8

Answer: $666

Step-by-step explanation:

Deposit $306

Monthly payment $60 * 6 = 360

$306 + $360 = $666

Step-by-step explanation:

6,000

michael

got 6,000

we can see that P-1 and Q are equal. This proves that the inverse of a transition matrix from A to B is equal to the transition matrix from B to A.

Transition matrix from A to B is P

\(P = [a b c d e f g h i]\)

Inverse of P is equal to the transition matrix from B to A

The inverse of P is P-1, which is given by:

\(P-1 = [j k l m n o p q r]\)

The transition matrix from B to A is Q, which is given by:

\(Q = [j k l m n o p q r]\)

The proof we have provided is by showing that the inverse of the transition matrix from A to B, which is P-1, is equal to the transition matrix from B to A, which is Q. We have done this by showing that both P-1 and Q are the same matrix. We can see that P-1 = [j k l; m n o; p q r] and Q = [j k l; m n o; p q r], which shows that both matrices are identical. This proves that the inverse of the transition matrix from A to B is equal to the transition matrix from B to A.

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The pattern that this system detects is a four-digit number that is divisible by 3.

1. The system starts by taking an input of a four-digit number.

2. It then checks if the last digit of the input number is divisible by 3.

3. If it is, the system continues to check if the sum of the remaining three digits is divisible by 3.

4. If this turns out to be true, the system will output a signal indicating that the input number is divisible by 3.

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The relative frequencies for this problem are given as follows:

A relative frequency is calculated as the number of desired outcomes divided by the number of total outcomes.

The total number of people is given as follows:

32 + 68 = 100.

Of those, 25 + 45 = 70 wear a watch, hence the relative frequency is given as follows:

70/100 = 0.7.

30 do not wear a watch, hence the relative frequency is given as follows:

30/100 = 0.3.

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The exponential form of 6 × 6, is written as: 6².

Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.

Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:

6 × 6 = 6².

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The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).

To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.

The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

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Answer:

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

Given function:

Graph it first (see attached).

Test the graph for symmetry.

We know the odd degree parent function y = x³ has an origin symmetry, whilst even degree functions may have axis symmetry.

The given function is a translation of cubic function 5 units up so the center of symmetry has translated as well. Therefore correct answer is 4.

Answer:

4. no origin symmetry

Step-by-step explanation:

Functions are symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, −b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y &= x^3 + 5\\&\textsf{Replace $y$ for $(-y)$}: \quad &-y &= x^3 + 5\\&\textsf{Simplify}: \quad &y &= -x^3 - 5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the x-axis.

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Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$}: \quad &y&=(-x)^3+5\\&\textsf{Simplify}: \quad &y&=-x^3+5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the y-axis.

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Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:

To determine if a graph is symmetric with respect to the origin, replace all the x's with (−x) and all the y's with (-y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the origin.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$ and $y$ for $(-y)$}: \quad &(-y)&=(-x)^3+5\\&\textsf{Simplify}: \quad &-y&=-x^3+5\\&&y&=x^3-5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the origin.

\(v(x) = wlh \\ 2x {}^{3} + {x}^{2} - 16 x- 15 =(2x + 5)(x - 3)h \\ h = \frac{2x {}^{3} + x {}^{2} - 16x - 15 }{2x {}^{2} - x - 15 } \\ using \: long \: divison \\ h = x + 1\)

Answer:

2

Step-by-step explanation:

Divide 4 into an even number, so its 2.

Answer:

1.25 or 1 and 1/4th

Step-by-step explanation:

you have to divide the cups of flower by the size of the pan

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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The number of ways to choose the letters is given as follows:

First we must decide which formula to use, depending if the order matters, as follows:

The number of possible permutations of x elements from a set of n elements is given by:

\(P(n,x) = \frac{n!}{(n-x)!}\)

Hence, if the order matters, the number of ways is given as follows:

P(3,2) = 3!/(3 - 2)! = 6.

The combination formula is given as follows:

\(C(n,x) = \frac{n!}x!{(n-x)!}\)

Hence, if the order does not matter, the number of ways is given as follows:

C(3,2) = 3!/(2! x 1!) = 3.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Given linear equation is,

To find the soution of the linear equation

Put y=0 in the given equation,

And put x=3 in the given equation,

Hence, the values of x and y which satisfy the equation y=6x-18 is x=3 and y=0.

Answer:

8

Step-by-step explanation:

n= that number

2(n+12)=40

2n+24=40

    -24  -24

2n=16

2n/2=16/2

n=8

Answer:

the number is 8

Step-by-step explanation:

2(12 + n) = 40

24 + 2n = 40

2n = 16

n = 8

Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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Answer:

Step by step explanation:

Given that,

\(f(x) = {x}^{2} \)

\(g(x) = x - 1\)

Solution:

Solving for (f•g)(x):

\( = f(x) \cdot g(x)\)

Now substitute the given values.

\( = x {}^{2} \cdot(x - 1)\)

\( = x {}^{2} (x - 1)\)

Apply distributive property:

\( = (x ^{2} \cdot x) - x {}^{2} \cdot 1\)

Hence,f•g(x) will be \( x {}^{3} - x {}^{2}\).

Answer:

x = 25

Step-by-step explanation:

We know that A and M are on a line, which is 180 degrees, and the little square means 90 degrees. So, ∠RAM = 180 - 90 = 90 degrees.

∠RAM = ∠RAX + ∠XAM

90 = (2x - 10) + (-3x + 125)

Now, simply combine like terms and solve for x:

90 = 2x - 3x - 10 + 125

90 = -x + 115

x = 115 - 90 = 25

Thus, x = 25.

~ an aesthetics lover

Answer:

128 + (-20)

u can solve it now

Step-by-step explanation:

as 2*10=-20

and 3+125= 128

and answer would be

128-108

=20x

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

\( {x}^{2} + 6 = 42 \\ = > {x}^{2} = 42 - 6 \\ = > {x}^{2} = 36 \\ = > x = \sqrt{36} \\ = > x = \sqrt{6 \times 6} \\ = > x = \sqrt{ {6}^{2} } \\ = > x = ±6\)

±6

she share it to thirty seven people