find the length of the third side of the right triangle!!!!

An equation which can not be used to find the value of x include the following: B. 11x + 25x = 180.

In Mathematics, a triangle can be defined as a two-dimensional (2D) geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

Furthermore, the sum of the angles in a triangle is equal to 180. This ultimately implies that, we would sum up all of the angles as follows;

m∠D + m∠E + m∠F = 180

Substituting the given parameters into the mathematical expression, we have the following;

(11x)° + (25x)° + (9x°) = 180°

(36x)° + (9x°) = 180° or (11x)° + (34x°) = 180°

45x = 180

x = 4.

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Using the triangle sum theorem, the equation that can NOT be used to find x is:

11x + 25x = 180

The triangle sum theorem says that all interior angles of a triangle is always equal to 180 degrees.

Therefore, to solve for the value of x, the equation below can be created by adding all angles in the triangle which gives 180 degrees:

11x + 25x + 9x = 180

36x + 9x = 180

45x = 180

x = 180/45

x = 4

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The set of vectors {x, cos(x)} is linearly independent as per the concept of linearity of vectors.

To determine if the set of vectors {x, cos(x)} in F(-∞, ∞) is linearly dependent, we need to check if there exist scalars c1 and c2, not all zero, such that c1x + c2cos(x) = 0 for all values of x in the given interval.

Let's consider a specific value of x, say x = 0.

Plugging this value into the equation, we have c1(0) + c2cos(0) = 0. Since cos(0) = 1, the equation simplifies to c2 = 0.

Now, considering another specific value of x, say x = π/2, we have c1(π/2) + c2cos(π/2) = 0. Again, cos(π/2) = 0, so the equation simplifies to c1(π/2) = 0. This implies that c1 = 0.

Since c1 = c2 = 0, the only solution to the equation c1x + c2cos(x) = 0 for all x in F(-∞, ∞) is the trivial solution. Therefore, the set of vectors {x, cos(x)} is linearly independent.

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The complete question:

By using appropriate identities, where required, determine which of the following sets of vectors in F(-∞, ∞) are linearly dependent.

a. x, cosx

Answer:

BE = 7.73

Step-by-step explanation:

All the angles in ΔABC are 60 because it's an equilateral triangle

AB = AE = 4

m∠BAE = 60 + 90 = 150

(1/2)m∠BAE = 150/2  = 75

sin75 = (1/2)(BE) / 4

1/2(BE) = sin75(4)

BE = sin75(4)(2) = 7.73

Answer:

x=-1

Step-by-step explanation:

5x-2x-7=-10

3x-7=-10

3x-7+7=-10+7

3x=-3

x=-1

\(\text{Hey \: there!}\)

\(\text{5x - 7 - 2x = 10}\)

\(\bf{(5x - 2x) \: which \: gives \: us \: 3x}\)

\(\text{3x - 7 + 7 = 10 + 7}\)

\(\bf{ - 7 + 7 \: because \: it \: gives \: you \: 0}\)

\(\bf{10 + 7 = 17}\)

\( \frac{3x}{3} = \frac{17}{3} \)

\(\text{we \: cant \: divide \: 17 \: from \: 3 \: because \: itll \: give \: us \: a \: decimal}\)

\(\boxed{\bf{thus \: your \: answer \: is \: \bf{ \frac{17}{3} }}}\)

~

\(\frak{loveyourselffirst:)}\)

Answer:

he started with 12 pencils

Step-by-step explanation:

lost 2.25 of his pencils

got 3 more

12 total

12-3=9

9 is 3/4 of the starting number

3,6,*9*,12

Answer:

There are 102 marbles in the jar

Step-by-step explanation:

16+18 = 34

34 = 1/3

3×34 = total marbles

3×34 = 102

The equation of the line that passes through ( -9, 7) and (4, 7) is y = 7.

Given that

( -9, 7) and (4, 7)

Since both points have the same y-coordinate of 7, we know that they lie on a horizontal line.

Using the point-slope formula, we can find the equation of the line that passes through (-9, 7) and has a slope of 0 (since it's a horizontal line):

y - y1 = m(x - x1)

y - 7 = 0(x - (-9))

y - 7 = 0

y = 7

So the equation of the line is y = 7.

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Equation of the line parallel to line y = -2/3x +5 and passing through point (4, -1) is

y = -2x/3 + 3

The expression for the line is solved by getting the slope of the line

slope of the new line is -2/3 since the slope of parallel  lines are equal

Using point slope formula for point (4, -1).

y - (-1) = -2/3 (x - 4)

y + 1 = -2x/3 + 4

y = -2x/3 + 3

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On solving the equations x + y = 104 and 0.05x + 0.25y = 22, the number of nickels and quarters Lenny has is 20 and 84 respectively.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The value of 1 nickel is = $0.05

The value of 1 quarter is = $0.25

The total amount of coins is = $22.0

The total number of coins is = 104

Let the number of nickel be = x

Let the number of quarter be = y

The equation for total number of coins =

x + y = 104 ....(1)

The equation for total amount of coins =

0.05x + 0.25y = 22 ...(2)

Multiply equation (1) by 0.05 -

0.05(x + y) = 104 × 0.05

0.05x + 0.05y = 5.2 ... (3)

Subtracting equation (3) from (2) -

0.05x + 0.25y - (0.05x + 0.05y) = 22 - 5.2

0.05x + 0.25y - 0.05x - 0.05y = 22 - 5.2

0.20y = 16.8

y = 84

Substitute the value of y in equation (1) -

x + 84 = 104

x = 104 - 84

x = 20

Therefore, the value for x and y is obtained as x = 20 and y = 84.

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Answer:

Hi there!

She used rounding to estimate the sum!

Answer:

hi

Step-by-step explanation:

hi

Answer:

C (the last one)

Step-by-step explanation:

The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.

Hope this helps!!!!

Answer:

They were supported by Federalists and not by Democratic-Republicans.

Step-by-step explanation:

I took the edge 2021 test

BRAILIEST?

Therefore, the integral ∫ (3cos(8x) - 2sin(4x) + 2sec(tan(x))) dx cannot be expressed in terms of elementary functions.

To evaluate the integral ∫ (3cos(8x) - 2sin(4x) + 2sec(tan(x))) dx, we can simplify each term and then integrate term by term.

Let's start by simplifying each term:

∫ 3cos(8x) dx - ∫ 2sin(4x) dx + ∫ 2sec(tan(x)) dx

To integrate each term, we can use standard integration formulas:

∫ cos(ax) dx = (1/a) sin(ax) + C

∫ sin(ax) dx = -(1/a) cos(ax) + C

∫ sec²(u) du = tan(u) + C

Applying these formulas, we have:

(3/8) ∫ cos(8x) dx - (2/4) ∫ sin(4x) dx + 2 ∫ sec(tan(x)) dx

= (3/8) (1/8) sin(8x) - (1/2) (-1/4) cos(4x) + 2 ∫ sec(tan(x)) dx

= (3/64) sin(8x) + (1/8) cos(4x) + 2 ∫ sec(tan(x)) dx

Now, we need to evaluate the integral of sec(tan(x)) dx. This integral does not have a simple closed-form expression, so we cannot integrate it directly. It is often denoted as "non-elementary" or "special" integral.

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A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer: Sorry if too late, but

24 letters in the alphabet excluding I and O= 22

22+9=31

(a)- 31x31x31x31x31x31=887,503,681

(b)- multiply 31 seven times (275,126,141 I think)

(c)- 31^7 divided by 31^6 = 31

Step-by-step explanation:

For more help use the last three slides on the link:

Answer:

Circumference is the length around the cylinder.

Step-by-step explanation:

Also, follow Sammy Revv on Spotify

Answer:

To find the circumference of a cylinder, you have to be aware that a cylinder's cross-section is a circle. If you know the cylinder's radius: Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the cylinder.

Step-by-step explanation:

it is 0.375

happy learning

Answer:

4th option

Step-by-step explanation:

The graph has a closed circle at x = 1 meaning x can equal - 1

Thus it must be an inequality involving ≤ or ≥

Since the arrow points to the left then it must be ≤

Then

3x + 1 ≤ 4 ( subtract 1 from both sides )

3x ≤ 3 ( divide both sides by 3 )

x ≤ 1

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer: 3 times

Step-by-step explanation:

Using trigonometric identities in terns of sinθ,  tan²θsin²θ = sin⁴θ/(1 - sin²θ)

Trigonometric identities are mathematical equations that contain trigonometric ratios.

Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.

Since we have tan²θsin²θ  (1)

Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ

Making tan²θ subect of the formula, we have that

tan²θ = sec²θ - 1

= 1/cos²θ - 1

So, substituting this into the given equation, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

Now using the trigonometric identity sin²θ + cos²θ = 1

⇒ cos²θ = 1 - sin²θ

So, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

= (1/(1 - sin²θ) - 1)sin²θ

= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)

= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)

= [0 + sin²θ )]sin²θ/(1 - sin²θ)

= [sin²θ]sin²θ/(1 - sin²θ)

= sin⁴θ/(1 - sin²θ)

So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)

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Answer:

The answer is D.) Quadrant IV

Step-by-step explanation:

I took a quiz on this before and Quadrant IV was correct but I don't know if it's true because some of you're answers are different from mine but on my quiz D was the answer

Answer:

jan spent 0.25, 1/4, or 25% of her money at the mall

any 3 of those answers are correct

Step-by-step explanation:

she spent $5 out of $20.

5/20 = 1/4

1/4 = 25% or 0.25

The research is expected to observe a sample with at least one pink unicorn in (1 - ((10 + 3) / 25)^11) samples.


To determine the number of samples that have at least one pink unicorn, we can use the concept of complementary events.
First, let's find the probability of selecting a sample without any pink unicorns. The total number of unicorns in the forest is 10 white + 3 blue + 12 pink = 25.
The probability of selecting a unicorn without pink color from the forest is (10 white + 3 blue) / 25.

To find the probability of selecting a sample without any pink unicorns, we multiply this probability by itself 11 times since we want to select 11 unicorns without any pink color.
The probability of selecting a sample without any pink unicorns is ((10 + 3) / 25)^11.

To find the probability of selecting a sample with at least one pink unicorn, we subtract the probability of selecting a sample without any pink unicorns from 1.
The probability of selecting a sample with at least one pink unicorn is 1 - ((10 + 3) / 25)^11.
Therefore, the research is expected to observe a sample with at least one pink unicorn in (1 - ((10 + 3) / 25)^11) samples.

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The distance in meters that was traveled is given as 300 meters

Acceleration = 60 / 40

= 3 / 2

When the velocity that we have in the graph is 30 m/s the time in seconds is twenty seconds

We have to use the formula s = 1 / 2 a t ^2

= 1 / 2 x 3 / 2 x 20^2

= 1200 / 4

= 300 meters

Hence the train traveled for a distance of 300 meters

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The length of the segment BE is 2 units.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

Quadrilateral ABCD is a rectangle.

BE=3x−7 and AC=8x−20.

E is the intersection point of the diagonals.

So,

AC/2 = BE

(8x−20)/2 = 3x−7

4x - 10 = 3x - 7

x = 3

So, BE = 2

Therefore, BE = 2 units.

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Answer:

Line t and line s are perpendicular

Line s is parallel to line u

Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

The correct answer is 4096.

Let me know if you need help