Find the third side in simplest radical form

Answer:

sin = opp/hyp

sin B = 12/13

sin B = 0.923

C

You should not believe her .

Given that,

You learn from an old friend that thirty years ago, she nailed a sign into the trunk of a tree at a height of one meter. She now claims that the sign is located 25 meters up a tree.

Meristems that are found at the tips of branches allow trees to grow taller. Apical meristems are the name for these meristems. Due to apical meristems, roots also spread into the soil by developing at their terminals. Apical meristems can be seen in every tree bud you can see. Another meristem, the vascular cambium, which was previously noted, is responsible for the expansion of trunk diameter. The trunk, branches, and roots continue to get bigger because the vascular cambium creates new xylem and phloem every year. Have you ever witnessed a fence board or wire transform into a tree?

The vascular cambium is responsible for that outcome. Height development prevents the fence wire or board from rising into the air.

Therefore, you should not believe her .

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The function h(t)= -t^2 + 4/3t + 1/4 is a quadratic function

The grasshopper lands on the ground after 1.5 seconds

The function is given as:

h(t)= -t^2 + 4/3t + 1/4

When the grasshopper lands on the ground, h(t) = 0.

So, we have:

-t^2 + 4/3t + 1/4 = 0

Multiply through by -12

12t^2 - 16t - 3 = 0

Expand

12t^2 + 2t - 18t - 3 = 0

Factorize

2t(6t + 1) - 3(6t + 1) = 0

Factor out 6t + 1

(2t- 3)(6t + 1) = 0

Split

2t- 3 = 0 or 6t + 1 = 0

Solve for t

t = 1.5 or t = -1/6

Time cannot be negative.

So:

t = 1.5

Hence, the grasshopper lands on the ground after 1.5 seconds

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the outward flux of F across the closed curve C is -5π/32 + √2π/72.

To find the outward flux of the vector field F = sin(6y)i + cos(4x)j across the closed curve C, we can apply Green's Theorem.

Green's Theorem states that for a vector field F = P(x, y)i + Q(x, y)j and a simple closed curve C with positively oriented boundary, the outward flux across C is given by the line integral of F along the curve C:

Flux = ∮C F · dr = ∬R (Qx - Py) dA,

where R is the region enclosed by C, Qx represents the partial derivative of Q with respect to x, and Py represents the partial derivative of P with respect to y.

In our case, the rectangle with vertices at (0,0), (π/6, 0), (π/6, π/4), and (0, π/4) can be denoted as R.

Let's calculate the partial derivatives of P and Q:

P(x, y) = sin(6y),

Q(x, y) = cos(4x).

Taking the partial derivative of Q with respect to x (Qx):

Qx = -4sin(4x).

Taking the partial derivative of P with respect to y (Py):

Py = 6cos(6y).

Now, we can evaluate the double integral using Green's Theorem:

Flux = ∬R (Qx - Py) dA

     = ∫[0, π/6]∫[0, π/4] (-4sin(4x) - 6cos(6y)) dy dx.

Integrating with respect to y first:

Flux = ∫[0, π/6] [∫[0, π/4] (-4sin(4x) - 6cos(6y)) dy] dx

     = ∫[0, π/6] [-4sin(4x)y - 6cos(6y)y]∣[0, π/4] dx

     = ∫[0, π/6] [-4sin(4x)(π/4) - 6cos(6(π/4))(π/4)] dx

     = -π/4 ∫[0, π/6] [sin(4x) + cos(9π/4)] dx

     = -π/4 [(-1/4)cos(4x) + (1/9)sin(9π/4)]∣[0, π/6]

     = -π/4 [(-1/4)cos(4(π/6)) + (1/9)sin(9π/4) - (-1/4)cos(0) + (1/9)sin(0)]

     = -π/4 [(-1/4)cos(2π/3) + (1/9)sin(9π/4) - (-1/4) + 0]

     = -π/4 [(-1/4)(-1/2) + (1/9)(-√2/2) + 1/4]

     = -π/4 [1/8 - √2/18 + 1/4]

     = -π/4 [5/8 - √2/18]

     = -5π/32 + √2π/72.

Therefore, the outward flux of F across the closed curve C is -5π/32 + √2π/72.

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complete question is below

Using Green's Theorem, find the outward flux of F across the closed curve C.  F=sin (6 y) i + cos (4 x) j C is the rectangle with vertices at (0,0), (π/6, 0), (π/6, π/4) and (0, π/4)

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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According to the Americans with Disabilities Act (ADA), when a parking lot or facility provides 25 or more total parking spaces, at least one of those spaces must be designated as a handicap parking space.

If the total number of spaces provided in the lot or facility falls between 26 and 50, then two of those spaces must be designated as handicap parking. For facilities with 51 to 75 total parking spaces, three handicap spaces are required. And so on, with the requirement increasing by one additional handicap parking space for every additional increment of 25 total parking spaces provided. It's important for businesses and organizations to adhere to these regulations in order to ensure accessibility for individuals with disabilities.

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Answer:

uhhhhhhhh so vampires

Step-by-step explanation:

werewolf ugly-_-

Answer:

Step-by-step explanation:

Vampires

Answer:

No

Step-by-step explanation:

This depends on many other things but in a basic tax bracket, both Joses and Mark both fall under the 12% tax bracket. This is for individuals who make a yearly salary between $9,876 to $40,125, in which the taxes would be 12% of the yearly salary. Since this is percent based, their taxes would not be the same, they would be close but Mark would still end up paying a little bit more since he made more money.

Answer:

No solution.

Step-by-step explanation:

Write the expression, combine like terms, and distribute.

-1+30x+24=6(5x+4)

30x+23=30x+24

Get rid of the variable first because they're both 30x (it makes it a lot easier).

30x+23=30x+24

-30x      -30x

23=24

23 is not equal to 24. When this happens, it means there is no solution, and that's just the answer.

Hope this helps you out!! Have a great day C:

Step-by-step explanation:

Today, we are going to be talking about the three-way principle of mathematics. Basically, there are three ways to solve a problem in math: verbally, graphically, or by example. In this lesson, we will discuss each of these principles by solving sample problems using each type.

Answer:

5 1/3 > 5.3

Step-by-step explanation:

1/3 = 0.333... so 5 1/3 > 5.3 as 5 1/3 = 5.333...

The fraction 5 1/3 is greater than 5.3.

A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. A fraction represented with its quotient and remainder is a mixed fraction.

For the given situation,

The decimal number is 5.3.

The mixed fraction is 5 1/3.

First, convert this fraction to a decimal number to check which is greater.

\(5\frac{1}{3}=\frac{16}{3}\)

⇒ \(5.33\)

On comparing these two decimals 5.33 and 5.3, we can conclude that    5 1/3 is greater than 5.3.

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Answer:

D. 36 to 24

Step-by-step explanation:

You can find this by comparing the ratio to the different options.

Write 3 fiction to 2 non-fiction as:

\(\frac{3}{2}\)

You can compare this to the last option, 36 to 24.

\(\frac{36}{24}\)

When you divide 36 by 3, and 24 by 2, you get 12 for both the answers.

\(36 / 3 = 12\)

\(24 / 2 = 12\)

This makes the ratios equivalent!

P(a number greater than 5 and an even number) = 1/6 or 0.167

Part 1 of 3 (a) To find the probability of getting an even number, divide the number of favorable outcomes (rolling a 2, 4, or 6) by the total possible outcomes (rolling any number between 1 and 6). There are 3 even numbers and 6 total possible outcomes.

P(an even number) = \(3/6 = 1/2 or 0.500\)

Part 2 of 3 (b) To find the probability of getting a number less than or equal to 4, count the favorable outcomes (rolling a 1, 2, 3, or 4) and divide by the total possible outcomes (6). There are 4 favorable outcomes and 6 total possible outcomes.

P(a number less than or equal to 4) =\( 4/6 = 2/3 or 0.667\)

Part 3 of 3 (c) To find the probability of getting a number greater than 5 and an even number, count the favorable outcomes (rolling a 6) and divide by the total possible outcomes (6). There is 1 favorable outcome and 6 total possible outcomes.

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The hypotenuse of the triangle if the legs are 7 and 5 is 8.6.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

Given that the sides of the triangle are 7 and 5.

The Pythagorean Theorem is given as follows:

a^2 + b^2 = c^2

Substituting the values of a = 7 and b = 5 we have:

(7)^2 + (5)^2 = c^2

49 + 25 = c^2

c^2 = 72

c = 8.6

Hence, the hypotenuse of the triangle if the legs are 7 and 5 is 8.6.

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Answer: The slope is -3

Step-by-step explanation: 12 / -4 = 3 / -1 = -3

I hope this helps! :)

Answer:

18

Step-by-step explanation:

We know that y is 1.5 times x, so when x = 12, y = (1.5)(12)=18

This directly proportional relationship between p and q is written as p∝q  where that middle sign is the sign of proportionality. The value of x is 8, when the value of y is 12.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

\(m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}\)

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

\(m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}\)

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

Given Variables y and x have a proportional relationship, therefore, we can write,

y ∝ x

y = k × x

21 = k × 14

21/14 = k

k = 1.5

Therefore, the equation for the relationship between x and y can be written as,

y = 1.5x

now, the value of x when the value of y is 12 is,

12 = 1.5 × x

x = 8

Hence, the value of x is 8, when the value of y is 12.

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The correct option would be -4...4.

The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.

By subtracting 4 from this random integer, we determine the range of possible values for the expression.

Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.

In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.

Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).

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Answer:

1/2x-2

Step-by-step explanation:

sise over run and then graph on desmos

Answer:

y = \(\frac{1}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (- 6, - 5 )

m = \(\frac{-5-1}{-6-6}\) = \(\frac{-6}{-12}\) = \(\frac{1}{2}\) , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 1 )

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = \(\frac{1}{2}\) x - 2 ← equation of line

Answer:

A. 4

Step-by-step explanation:

12 - 3 is 9

6^2 is 36

36/9 is 4

Answer:

1.2

Step-by-step explanation:

3. 0.3+0.2+0.1

Multiply 3 and 0.3 to get 0.9

0.9+0.2+0.1

Add 0.9 and 0.2 to get 1.1

1.1+0.1

Add 1.1 and 0.1 to get 1.2

1.2

Answer:

\(x=\frac{y-b}m\)

Step-by-step explanation:

We subtract b from both sides.

\(y-b = mx\)

We divide both sides by m  (as long as \(m\ne0\)) and read right to left.

\(x= \frac{y-b}m\)

Answer:

\(x=\frac{y-b}{m}\)

Step-by-step explanation:

\(\mathrm{Switch\:sides}\)

\(mx+b=y\)

\(\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}\)

\(mx+b-b=y-b\)

\(\mathrm{Simplify}\)

\(mx=y-b\)

\(\mathrm{Divide\:both\:sides\:by\:}m;\quad \:m\ne \:0\)

\(\frac{mx}{m}=\frac{y}{m}-\frac{b}{m};\quad \:m\ne \:0\)

\(\mathrm{Simplify}\)

\(x=\frac{y-b}{m};\quad \:m\ne \:0\)

[RevyBreeze]

The 15th term of the geometric progression is 9,565,94.

A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.

From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that

a1 r a1 r3 = 2 a1 r4

The r's and one a1 cancel leaving a1 = 2.

Now, plugging similarly into a1 + a2 + a3 + a4 = 80,

2 + 2r + 2r2 + 2r3 = 80

r3 + r2 + r + 1 = 40

In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.

So the geometric sequence here is an = 2 3n-1. The 15th term is then:

a15 = 2*3^14

a15 = 9,565,938.

Full question:

A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.

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Answer:

3

Step-by-step explanation:

Use Pythagorean theorem

Base²+ altitude² = hypotenuse²

Base² + (√3)²   = (2√3)²

Base² + √3 *√3 = 2√3 *2√3

Base² + 3           = 4*3

Base² + 3           = 12

              Base²  = 12 - 3

              Base²  = 9

              Base    = \(\sqrt{9}=\sqrt{3*3} =3\)

The solution to the equation for x is x = 1/6[e^2]

from the question, we have the following parameters that can be used in our computation:

ln 9+ln 4x^2=4

Combine the natural logarithm

So, we have the following representation

ln(9 * 4x^2) =4

This gives

ln(36x^2) = 4

Take the exponent of both sides

36x^2 = e^4

Divide both sides by 36

x^2 = 1/36[e^4]

Take the square roots

x = 1/6[e^2]

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Answer:

step 4

Step-by-step explanation:

4+2=6

The length of each side of the square is 280/4 = 70 feet.

The perimeter of a square is the total length of all the sides of the square added together. Since the perimeter of this square is 280 feet, this means that if we add up the length of all four sides, the total length is 280 feet. Therefore, we can divide the perimeter (280 feet) by the number of sides (4) in order to calculate the length of each side. This means that the length of each side of the square is 280/4 = 70 feet. Therefore, the length of each side of the square is 70 feet. By dividing the perimeter of the square by the number of sides, we can easily calculate the length of each side of the square.

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