Let the factors, a1, a2, … a9 of a9 be written in a square 3 by 3 array as indicated. Let a1 Help me plz

The ratio as decimal is sin C = AB/BC = 8/17 = 0.4706. cos C = AC/BC = 15/17 = 0.8824 tan B = AB/AC = 8/15 = 0.5333. tan C = AB/AC = 8/15 = 0.5333. cos B = BC/AC = 17/15 = 1.1333. sin B = AC/BC = 15/17 = 0.8824.

The origin (0, 0) of a coordinate plane serves as the center of the unit circle, which has a radius of 1. It is used in trigonometry to provide the values of trigonometric functions for angles of any measure, including sine, cosine, and tangent. The x-coordinate and y-coordinate of each point on the unit circle correspond to the cosine and sine values, respectively, for that point's specific angle measure. The unit circle is a popular visual tool for teaching students about the characteristics and behaviour of trigonometric functions.

Using the right triangle we have:

sin C = opposite/hypotenuse = AB/BC = 8/17 = 0.4706

cos C = adjacent/hypotenuse = AC/BC = 15/17 = 0.8824

tan B = opposite/adjacent = AB/AC = 8/15 = 0.5333

tan C = opposite/adjacent = AB/AC = 8/15 = 0.5333

cos B = adjacent/hypotenuse = BC/AC = 17/15 = 1.1333

sin B = opposite/hypotenuse = AC/BC = 15/17 = 0.8824

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Answer:

answer is 347.6

Step-by-step explanation:

21/7300= 347.6

Answer:

SSS: LM = AB and MN = AC

HL: AC = MN

Step-by-step explanation:

✔️Information that is necessary to prove that both triangles are congruent by SSS are:

LM = AB

MN = AC

This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.

✔️Information necessary to prove that the triangles are congruent by HL:

We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:

AC = MN

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:

Attaching answer for 1 below!!

2. C. -- y=2x+9

3. B. -- y=5/3x+3

Step-by-step explanation:

1.  First screenshot below

2. To convert standard equations (Ax+By=C)  to slope intercept (y=mx+b), what you do is preform inverse operations on A to both sides (modeled below).  Then, the equation will look like this; By= -Ax+C.  The last thing you need to do to cancel out B from the y is divide both sides by B, and you'll have your answer.  So, I did that exact process with the equation and that's how I got C.  Now, when you have no number next to the y, you don't need to divide, so it's a very simple process that way.

-2x+y=9

+2          +2

3.  Same process for 2, except this time we divided by 3.

Answer:

Step-by-step explanation:

\(24\div 6+2\times 9 =4+18=22\)

÷  and × first followed by + and -.  But otherwise work left to right.

Answer:  22

Step-by-step explanation:

1.)  Solve using PEMDAS.

Answer:

\(volume = x^3+3x^2+3x+1\)

Volume of a cube is given by a³ where a denotes side of a cube.

Here given side:

So, the volume:

Here, We are given a side of a cube.. Since, it is a cube alk the sides are equal amd the formula for volume of cube is:

\( \boxed{ \tt \: {side}^{3} }\)

\( \sf \longmapsto \: (x + 1)^{3} \)

\( \sf \longmapsto \: {x}^{3} + {3x}^{2} \times 1 + 3x \times {1}^{2} + {1}^{3} \)

\( \therefore \rm \: Area = {x}^{3} + {3x}^{2} + 3x + 1 \)

In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

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missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

Answer:

Step-by-step explanation:

The problem told you what all the variables represent, so all we have to do it fill them in accordingly and solve:

\(V=6440e^{(.068)(8)}\) and

\(V=6440e^{.544}\) and

V = 6440(1.7228846) so

V = $11,095.38

Answer:

n = -5

Hope it helps u mate

Answer:

Traditions represent a critical piece of our culture. They help form the structure and foundation of our families and our society.

Answer:

An example of tradition would be praying before eating. It's a tradition of the religious beliefs and practices your culture shares.

Step-by-step explanation:

Traditions are part of culture. Traditions are things that are passed down through culture from generations to generations.

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

e) SAS

f) Not enough information

Step-by-step explanation:

e) Sas because there is an angle in between two sides and for that angle is opposite angles

f) Not enough information because SSA is not a theorem

The surface area of a right square pyramid if the area of the base is 169 cm² and the slant height of the pyramid is 13 cm is 507 cm².

We know that the area of the square base is 169 cm², so we can solve for the length of one side.

To find the length, we use the formula for the area of a square:

Area = length x length

169 = length²

Taking the square root of both sides, we get:

length = √169

        = 13 cm

Now we can use the formula for the surface area of a square pyramid:

Surface area = area of base + (1/2)perimeter of base x slant height

The perimeter of the base is 4 times the length of one side, so it is:

perimeter of base = 4 x length = 4 x 13 cm = 52 cm

Plugging in the values we have:

Surface area = 169 cm² + (1/2)(52 cm)(13 cm)

Surface area = 169 cm² + 338 cm²

Surface area = 507 cm²

Therefore, the surface area of the right square pyramid is 507 cm².

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The probability of the event between two and five lines, inclusive, are in use is 0.85.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that,

x         0         1         2       3        4         5         6

p(x)   0.12    0.18   0.20  0.20  0.20   0.07   0.03

a) At most three lines are in use

Here we need to find the probability for x≤3.

P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)

= 0.12+0.18+0.20+0.20

= 0.70

b) Fewer than three lines are in use

Here we need to find the probability for x<3.

P(x<3)=P(x=0)+P(x=1)+P(x=2)

= 0.12+0.18+0.20

= 0.50

c) At least three lines are in use

Here we need to find the probability for x≥3.

P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)

= 0.20+0.20+0.07+0.03

= 0.50

d) Between two and five lines, inclusive, are in use

Here we need to find the probability for 2≤x≤5.

P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)

= 0.18+0.20+0.20+0.20+0.07

= 0.85

Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.

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Step-by-step explanation:

Number one, 743

× 63

2229

Number four is 2.5/3 (don't trust me too much with this one)

number five, multiply 8.5 by 3 and you'll get 25.5

Answer: 24.34 is his balance.

Step-by-step explanation:

well, we know they sell a total of about 1100 books monthly, and that nonfiction is 24% of that, what's 24% of 1100?

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{24\% of 1100}}{\left( \cfrac{24}{100} \right)1100}\implies 264\)

Answer:

2x ( -3x + 14)

Step-by-step explanation:

Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.

3x ( 2x - 8 ) + 4x

Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.

-3x · 2x + (-3x) · (-8) +4x

Simplify by multiplication:

-6x² + 24x +4x

Finally, we add:

-6x² +28x

Now, to simplify further, we can look for terms that show up in numbers.

We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:

x ( -6x + 28)

We can look and see that 2 is also a common factor between the two terms, so we can take that out too.

2x ( -3x + 14)

This is the most simplified it can get.

The slope of the line that passes through the graph is -1/3

From the graph, the points are given as

(6, 2) and (-6, 6)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (6, 2) and (-6, 6)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (6, 2) and (-6, 6)

Substitute the known values in the above equation

So, we have the following equation

Slope = (6 - 2)/(-6 - 6)

Evaluate

Slope = -1/3

Hence, the slope of the line is -1/3

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On solving the provided question we can say that - the equation we have are x + y = 2000 and 12x + 30y = 46140

an expression that shows how two expressions on each side of a letter are connected. There is often only one variable and an equals sign. Two expressions are combined by an equal sign to form a mathematical statement known as an equation. For instance, the equation is 3x - 5 = 16. The value of the variable x in this equation, as determined by its solution, is 7.

Allow x for the number of reserve seats and y for the number of box seats.

Currently, 2000 tickets have been sold in total.

As a result, x + y = 2000.

Seats with reservations are $12.

$30 for a box seat.

In perspective of the equations 12x + 30y = 46140

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Answer: Decay bc its less than 1.00 (proven by the exponential decay equation)

Step-by-step explanation:

percent would be 1.00-0.96= 0.04 , 4%

The value of this constant, by assuming that the pressure at some reference height y₀ is p₀, is p - p₀ = p.g(y₀ - y).

dp = -pg dy

At height y = y₀ and p = p₀

∫dp = ∫-pg dy

⇒p = -pgy + C        Eqn(1)

Where c is the constant of integration

We know that y = y₀ and p = p₀

⇒p₀ = -pgy₀ + C

⇒C = p₀ + pgy₀

Put the value of C in Eqn(1)

⇒p = -pgy + p₀ + pgy₀

⇒p - p₀ = -pgy + pgy₀

⇒p - p₀ = pg(y₀ - y)

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Answer:

x=-8

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

we have two equation and two variables:

Now we can substitude the first equation into the second equation:

Now we move all the terms with an x to the left and the constants to the right

and we simplify

Now with the value of x, we can substitude into any equation, I am going to use the first one: