Can you simply these fractions?

Given:

A figure.

To find:

The value of x and y.

Solution:

In triangle ADC, all angles are equal, so it is an equilateral triangle.

We know that, all sides of an equilateral triangle are equal.

\(AD=AC\)       ...(i)

\(3x-5=5y-4\)                   ...(ii)

In triangle ABD,

\(\angle BAD=\angle ABD\)

Base angles are equal, so triangle ABD is an isosceles triangle.

\(AD=BD\)     ...(iii)

Using (i) and (iii), we get

\(AC=BD\)

\(5y-4=y+12\)

\(5y-y=4+12\)

\(4y=16\)

Divide both sides by 4.

\(y=4\)

Putting y=4 in (ii), we get

\(3x-5=5(4)-4\)

\(3x-5=20-4\)

\(3x-5=16\)

Adding 5 on both sides, we get

\(3x=16+5\)

\(3x=21\)

Divide both sides by 3.

\(x=7/tex]

Therefore, the value of x is 7 and the value of y is 4.

The probability distributions whose graphs can be approximated by bell-shaped curves are commonly known as normal distributions or Gaussian distributions.

These distributions are characterized by their symmetrical shape and the majority of their data falling within a certain range around the mean. The normal distribution is widely used in statistics and is a fundamental concept in many fields of study, including psychology, economics, and engineering. The normal distribution is also known for its many practical applications, such as predicting test scores, stock prices, and medical diagnoses. In summary, the bell-shaped curve is a useful tool in probability theory that can help us understand and make predictions about a wide range of phenomena. The probability distributions whose graphs can be approximated by bell-shaped curves are called Normal Distributions or Gaussian Distributions. They have a symmetrical shape and are characterized by their mean (µ) and standard deviation (σ), which determine the central location and the spread of the distribution, respectively.

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Answer:

B.

Step-by-step explanation:

So to make it look simpler, rewrite it as this:

\(\frac{4^{5} 7^{3} }{4^27^4}\)

Now, you can cross out the 4^2 and 7^3

You're left with:

\(\frac{4^3}{7}\)

Answer:

You do 2 times 5x, the simplify.

Answer: none of these

Step-by-step explanation:

The statement ''f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm '' is TRUE.

Let us assume that a is an m x n matrix that doesn't span rm. It means that the columns of a matrix don't contain all the vectors in the m-dimensional vector space that a is associated with. Therefore, it is not possible to find the linear combination of the columns of a that produces some vectors in rm.

We can also say that a matrix is inconsistent when there is no solution possible for the given linear equation. A system of linear equations is inconsistent when it has no solution.To prove the statement f, we need to prove that if a matrix doesn't span rm, then the given equation ax = b is inconsistent for some b in rm.

Here is a proof:

Let's assume that the columns of the matrix a don't span rm. It means that some vector in rm is not in the column space of a matrix.

Let's assume that vector is v.

Now, let's consider the linear equation ax = v. Since v is not in the column space of matrix a, there is no solution to this equation. It means that the equation ax = v is inconsistent.

Hence, we can say that the statement f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm is true

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Answer:

the formula of a trapezoid is

H(a+b/2)

A= side 1 (usually the two parallel sides, choose one)

b= side 2 (same thing as A but the second line)

The h is height

So we fot 10 and 9

10+9=19

19/2=9.5

9.5*6

57

the Area is 57

Also you drew it wrong (look at image)

Step-by-step explanation:

Four tosses of the coin result in 2^4 = 16 possible outcomes of which FOUR

will have ONE tails :

HHHT

HHTH
HTHH
THHH      so 4 out of 16  = 4/16 = 1/4    Not very unusual

The speed of the faster car is 40 miles/hr.

both cars travel for same time , so let that time be 't'

car 1 :

distance travelled = 75 miles

let the speed of the car be = x miles/hr

∴ time (t)  = distance / speed

              t  =   75 / x               .............(1)

car 2 :

distance travelled = 100 miles

speed of the car is = x + 10 miles/hr  ( already provided )

∴  time ( t) = distance / speed

            t  = 100/ (x+10)        ..............(2)

    now as the time for both the cases is same  , so we equate eqn (1) and eqn (2) .

∴ 75/x  =  100/ (x+10)

3x + 30 = 4x

x = 30

so the speed of the 1st car will be 30 miles / hr

and the speed of the 2nd car ( faster car ) will  be x + 10 = 40 miles/hr

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The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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The equation of a circle with center (-3, -5) and radius 4 is (x+3)^2+(y+5)^2=16.

In the given equation we have to find the equation of circle with center and radius.

The given center is (-3, -5).

Radius = 4

The standard equation of a circle with center and radius.

(x−a)^2+(y−b)^2=r^2

where a and b represent a point of center and r represent a radius.

So a=-3, b=-5 and r=4.

Putting the value in the standard equation.

(x−(-3))^2+(y−(-5))^2=(4)^2

Simplifying

(x+3)^2+(y+5)^2=16

Hence, the equation of a circle with center (-3, -5) and radius 4 is (x+3)^2+(y+5)^2=16.

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Answer:Variability

Step-by-step explanation:

There is a 35% chance that fund A rises and fund B does not rise in price.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

To calculate the probability that fund A rises and fund B does not rise in price, we need to multiply the probability of fund A rising (let's assume it is 50% for the sake of this example) by the probability of fund B not rising (which is 70%). So the probability would be:

0.5 (probability of fund A rising) x 0.7 (probability of fund B not rising) = 0.35 or 35%.

Therefore, there is a 35% chance that fund A rises and fund B does not rise in price.

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Answer:

5x-22

5×-2-7(3)-217+22+7×28​

yea its that i wrote the wrong thing last time

Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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Step-by-step explanation:

NP is the radius of the fictitious circle with center in P.

sin(P) = sqrt(55)/NP

Pythagoras gives us NP :

c² = a² + b²

so

NP² = 55 + 45 = 100

NP = 10

therefore,

sin(P) = sqrt(55)/10

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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Answer:

what

Step-by-step explanation:

??

Answer:

I believe it is x^2-9

Step-by-step explanation:

Since we don't have a specific "number" you use x. It says it's squared to put an exponent of 2. It also says that 9 is subtracted by it so put -9.

Answer:

45cm^2

Step-by-step explanation:

multiply 5 and 9 and thats the answer you end up with basically

To simplify the expression -p/3 + q/3 - 2p/3 - q, we can combine like terms.  the simplified form of the expression -p/3 + q/3 - 2p/3 - q is (-4p - 2q)/3.

By adding or subtracting the coefficients of the variables, we can simplify the expression to its simplest form.

The expression -p/3 + q/3 - 2p/3 - q can be simplified by combining like terms. The simplified form of the expression is (-4p - 2q)/3.

Given the expression: -p/3 + q/3 - 2p/3 - q

We can group the like terms together:

(-p - 2p)/3 + (q - q)/3

Simplifying each group separately:

-3p/3 - 2q/3

Since -3p/3 is equivalent to -p, and -2q/3 remains the same, the expression can be further simplified to:

(-p - 2q)/3

Therefore, the simplified form of the expression -p/3 + q/3 - 2p/3 - q is (-4p - 2q)/3.

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Answer:

390625

Step-by-step explanation:

Five multiplied by 5 8 times is rlly just 5^8

Answer:390,624

Step-by-step explanation:

5x5x5x5x5x5x5x5

Answer:

x = 33 - 2/3 y

Step-by-step explanation:

The sum of the interior angles of a triangle is 180

2y + 6 + 3x + 75 = 180  Combine like terms

2y + 3x +81 = 180  Subtract 2y from both sides

3x + 81 = 180 -2y  Subtract 81 from both sides

3x = 99 -2y  Divide by 3

x = 33 - 2/3y

Answer:

-2/5

Step-by-step explanation:

Answer:

x = -2/5 or -0.4

Step-by-step explanation:

The non-permissible replacement of the variable in a certain expression is the value of x that will make the denominator of the expression zero.

=============================================================

Then,

⇒ 5x + 2 = 0

⇒ 5x = -2

⇒ x = -2/5 or -0.4

The frequency of F will be 349.23 Hz, to the nearest hundredth of a hertz. If this F is lowered by an octave, the frequency will be 174.61 Hz, to the nearest hundredth of a hertz. We know that the frequency of C# is 277.18 Hz.

If we raise this frequency by a third, we get:

277.18 * 1.2599 = 349.23 Hz (to the nearest hundredth of a hertz) Therefore, the frequency of F, when C# is raised by a third, will be 349.23 Hz. If this F is lowered by an octave, the frequency will be: 349.23 / 2 = 174.61 Hz (to the nearest hundredth of a hertz)Therefore, the frequency of F when it is lowered by an octave will be 174.61 Hz (to the nearest hundredth of a hertz).

In Western music, there are 12 notes in each octave, with each note being a semi-tone away from the previous one. C# is the fourth note in the octave, and F is the sixth note in the same octave. As a result, if we raise the fourth note by a third, we reach the sixth note. This is why we go from C# to F. Using the formula f2 = f1 * (2^(n/12)), where f1 is the original frequency, n is the number of semi-tones we want to raise it by, and f2 is the new frequency, we can determine the new frequency of F. When we plug in 277.18 Hz for f1 and 4 for n,  Hence, the frequency of F will be 349.23 Hz if C# is raised by a third to F, and the frequency of F will be 174.61 Hz if F is lowered by an octave.

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Answer:

109 is 63% of 173.02(Rough estimate)

Step-by-step explanation:

X = Y/P%

X = 109/63% or 109/0.63

X = 173.02

Hope this helps!

Answer:

109 is 63% of 173.02

Step-by-step explanation:

Formula = Number x 100/Percent = 109 x 100/63 = 173.02

Answer:

-1.5

Step-by-step explanation:

m=-6/4

m=-3/2

-1.5

Answer:

-3/2

Step-by-step explanation:

[4-(-2)] / [1-5] = 6 / -4 = -3/2

Answer: (2.4, -12.8)

Step-by-step explanation: