If a rhombus is inside a regular hexagon, what is the size of x

Answer:

50º & 40º

Step-by-step explanation:

complementary anlges add up to 90º. so, we can make an equation:

x+x-10=90

2x=100

x=50

so the angles are 50º and 40º.

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Therefore, the sum of the distances traveled by the tips of both hands in one $24$-hour period is approximately $15.708$ meters.

To start, we need to find the length of each hand. The minute hand measures $10$ cm, which is equivalent to $0.1$ meters, and the hour hand measures $5$ cm, or $0.05$ meters.
Now, let's consider the distance each hand travels in one hour. The minute hand travels the circumference of the clock face, which has a diameter of $20$ cm or $0.2$ meters. The formula for the circumference of a circle is $2\pi r$, so the distance traveled by the minute hand in one hour is $2\pi(0.1) = 0.2\pi$ meters.
The hour hand travels the circumference of a circle with a diameter of $10$ cm or $0.1$ meters. Since the hour hand takes $12$ hours to complete one full revolution around the clock face, it travels $\frac{1}{12}$ of the circumference in one hour. Therefore, the distance traveled by the hour hand in one hour is $\frac{1}{12} \cdot 2\pi(0.05) = \frac{\pi}{120}$ meters.
To find the total distance traveled by both hands in $24$ hours, we can add up the distance traveled by each hand in one hour and multiply by $24$.
Total distance = $24\left(0.2\pi + \frac{\pi}{120}\right) \approx 15.708$ meters
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Answer:

Step-by-step explanation:

4-2<x<4+2

2<x<6

x = 3, 4  or 5

i assume u r talking about triangle

Therefore , the solution to the given problem of force comes out to be (-26.46i-52.92k) Nm.

It can push or pull. Acceleration is caused by unbalanced forces.

The Newton is the symbol for a force (abbreviation is N).The force required to cause a mass of one kilogramme to alter its velocity by one metre per second (m/s) per second is one Newton. The formula is: 1 N = 1 kg m/s2 (kilogram metre per second squared)

Here,

Given :

Along the diagonal of the parallelepiped, a force F acting at a magnitude of F = 165 N is present.

To Calculate moment of force F about point A.

MA=rBXF

={(-600) (-88.2i+132.3j+44.1k)}

=(-52920k - 26460i) Nm

=(-26.46i-52.92k) Nm

Therefore , the solution to the given problem of force comes out to be (-26.46i-52.92k) Nm.

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Answer:

21

Step-by-step explanation:

Answer:

12.2 cm

Step-by-step explanation:

we are going to use the formula (below).

Our a and b are going to be our two legs: 10cm and 7cm

\(C^{2} =10^{2} +7^{2} \\C^{2}=100+49\\C^{2}=149\\C=\sqrt{149} \\C=12.2cm\)

Answer:

i would like to say yes.

Step-by-step explanation:

Given,

The Fibonacci sequence is F(n) = F(n-1) + F(n-2).

F(8) = 21 and F(9) = 34

To find: Which of the following is true.

Solution:

In a Fibonacci series, the sum of first two terms is equal to the third term.

The next term will always be the sum of the previous two terms.

Hence, the given option D is correct.

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

# defining function to calculate total cost

def total_cost(units):

   if units <= 500:

       return units * 0.02

   elif units <= 1000:

       return (500 * 0.02) + ((units - 500) * 0.05)

   else:

       return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)

# Driver Code

consumptions = [200, 500, 700, 1000, 1500]

for i in consumptions:

   total = total_cost(i)

   print("Total cost of Electricity for", i, "units is", round(total + 5, 2))

Output:

Total cost of Electricity for 200 units is 9.0

Total cost of Electricity for 500 units is 15.0

Total cost of Electricity for 700 units is 25.0

Total cost of Electricity for 1000 units is 40.0

Total cost of Electricity for 1500 units is 90.0

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

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Answer:

1

Step-by-step explanation:

plug in e and f

12/4+2(1/2)-3

12/4 =3, 2(1/2) =1

3+1-3

3+1=4

4-3=1

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\(\frac{BC}{sinA}=\frac{AB}{SinC}\)

\(\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}\)

\(BC[sin(68.4)] = 646 [sin(18.6)]\)

\(BC = \frac{646*sin(18.6)}{sin(68.4)}\)

\(BC = \frac{646 * 0.3190}{0.9298}\)

\(BC = 221.63\)

\(BC = 222\) meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

a) The null and alternative hypothesis are defined as

\(H_0 : p = 0.80 \)

\(H_a : p > 0.80\)

So, right choice is option (iii) here.

b) The test statistic value is equals to the 1.25.

c) The p-value of distribution is equals to the 0.1056. So, option(b) is right one here.

d) Conclusion: a fail to reject the null hypothesis, that is p = 0.80. So, there is no evidence to support the claim.

The claim about the population proportion that the proportion is more than 80% is tested under the null and the alternative hypothesis at the 5% level of significance. To calculate the P-value and the test statistic value, we will use Z-test. . We have a random sample of 100 people. So, sample size, n = 100

Number of people who favored candidate from the sample = 85

level of significance, \( \alpha\)

= 0.05

Population proportion, \( \hat p\)

= 85% = 0.85

a) The null hypothesis is,

\(H_0 : p = 0.80\)

The alternative hypothesis is,

\(H_a : p>0.80\)

(Right-Tailed)

Therefore, Option (iii) is correct.

b)Now, we determine the z statistic value : z-test statistic is defiend as:

\(z= \frac{\hat p−p}{\sqrt{\frac{p(1−p)}{n}}}\)

=> \(z = \frac{0.85 - 0.80}{\sqrt{\frac{0.80(1 - 0.80)}{100}}}\)

=> z = 0.05/0.04 = 1.25

so, Z-statistic value is 1.25.

c) Using the Z-distribution table, the value of P( z = 1.25 ) is 0.1056.

d) As we see, p-value (0.1056) > 0.05, so we fail to reject the null hypothesis. There is no evidence to reject null hypothesis.

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Complete question:

a random sample of 100 people was taken. eighty-five of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 80%.

a) The correct set of hypothesis for this problem is I)H0:p=0.85 and

HA:p>0.85

ii. H0:p>0.80 and

HA:p=0.80

iii.) H0:p=0.80 and

HA:p>0.80

iv.) H0:p=0.80 and HA:p≥0.80

b) find out the Z-statistic value?

c)the p-value is ? group of answer choices 0.2112 0.05 0.1056 0.025

d) What is your conclusion?

Answer:

Brianna subtracted $12.50, even though you are not supposed to do that to find the price. You have to subtract $6.50, not $12.50.

The final answer is $7.04 because you subtract two initial prices.

Hope this helps you!

Answer:

The sample answer is :Brianna took both 25% discounts off the original amount. The second discount should have been calculated on the first reduced price of $9.38. The final sale price should have been $7.03.

Step-by-step explanation:

hope this helps :)

The surface area of the given cylinder is 112π cm².

Given is a cylinder.

Radius of the base = 4 cm

Height of the cylinder = 10 cm

Here there are two circular bases and a lateral face.

Area of the bases = 2 × (πr²)

                             = 2 × π (4)²

                             = 32π cm²

Area of the lateral face = 2π rh

                                      = 2π (4)(10)

                                      = 80π

Total area = 112π cm²

Hence the total surface area of the cylinder is 112π cm².

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Answer:

35$ : 1,25$ = 28 Trips

Step-by-step explanation:

From 29 Trips you have a better deal.

Step-by-step explanation:

To write the inequality, let x be the number of trips:

As we are finding how many rides until it is cheaper, we will be using the greater than sign:

0.90 * x > 24

To isolate x, we need to divide both sides by 0.9:

\(x > \frac{24}{0.9}\)

x > 26.66 or

x > 26 \(\frac{2}{3}\)

Rounding down as too little money will result in no trip:

x > 26

This means that it is cheaper to buy individual tickets until 26 rides which are when the monthly pass will be better.

Hope this helps!

The domain of g(x) is all real numbers, and the range is (61, ∞) and the range is (61, ∞).

The domain of a function is the set of all possible input values for which the function is defined, while the range is the set of all possible output values.

For the given function g(x) = -1/4 (x−17)² + 61, the domain is all real numbers since there are no restrictions on the input values.

To find the range, we can use the fact that the vertex of the parabola is at (17, 61) and the coefficient of the squared term is negative, indicating a downward opening parabola.

Thus, the maximum value of the function occurs at the vertex and is 61, which is also the minimum possible value. Therefore, the range is (61, ∞).

In summary, the domain of g(x) is all real numbers, and the range is (61, ∞).

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The probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie is 12 / 22C2.

The probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie can be calculated by dividing the number of ways to select two sugar cookies by the total number of ways to select any two cookies.
Step-by-step explanation:
1. Determine the number of ways to select two sugar cookies: There are 4 sugar cookies in the bag, so the number of ways to select the first sugar cookie is 4. After eating the first sugar cookie, there are 3 sugar cookies left, so the number of ways to select the second sugar cookie is 3. Therefore, there are 4 * 3 = 12 ways to select two sugar cookies.
2. Determine the total number of ways to select any two cookies: There are a total of 6 + 5 + 4 + 7 = 22 cookies in the bag. So, the number of ways to select any two cookies is calculated by choosing 2 cookies out of 22, which is denoted as 22C2.
3. Calculate the probability: To find the probability, divide the number of ways to select two sugar cookies by the total number of ways to select any two cookies.
  Probability = (Number of ways to select two sugar cookies) / (Total number of ways to select any two cookies)
  Probability = 12 / 22C2
So, the probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie is 12 / 22C2.

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Answer:

π(70)(√(70^2 + 50^2)) = π(700√74) m^3

= 18,918 m^3

Answer:

2

Step-by-step explanation:

because there are 2 x'S

Answer:

hiiii lol. so ganfNFnnq6mq6n1j

Let's begin by simplifying each of the terms in the expression on the left-hand side of the equation:

(x^m * x^n)^(m-n) = x^(m-n)*(m-n)

(x^p * x^(-n))^(n+p) = x^(n+p)*(p-n)

(x^p * x^(-m))^(p+m) = x^(p+m)*(p-m)

Now, let's substitute the given equation p^2 - n^2 = 1 into these expressions:

x^(m-n)*(p^2-n^2) = x^(m-n)

x^(n+p)*(p^2-n^2) = x^(n+p)

x^(p+m)*(p^2-n^2) = x^(p+m)

Simplifying each of these expressions using the given equation, we get:

x^(m-n) = x^(m-n)

x^(n+p) = x^(n+p)

x^(p+m) = x^(p+m)

Therefore, the left-hand side of the equation simplifies to:

x^(m-n) * x^(n+p) * x^(p+m) = x^(m-n + n+p + p+m) = x^(2m) = x^2^(m-n + n+p + p+m)

Thus, we have proved that:

(x^m * x^n)^(m-n) * (x^p * x^(-n))^(n+p) * (x^p * x^(-m))^(p+m) = x^2

which is the same as the given equation.

The function that converts an input of letters and numbers into an encrypted output of a fixed length is the hash function

From the question, we have the following highlights:

The mathematical function with the above features is a hash function

Hence, the function is the hash function

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The answer of the given question based on the finding the size of PRO is angle PRO = 180° degrees.

A circle is a closed two-dimensional shape that is formed by a set of points that are all equidistant from a single point called the center. The distance from the center to any point on the circle is called the radius of the circle. A circle can be defined as the locus of all points that are at a fixed distance from a given point in a plane.

Since P, Q, and R are points on a circle with center O, we know that the measure of angle POQ is equal to 360 degrees (the total angle measure of a circle).

Therefore, we have:

angle ∠POR + angle ∠ROQ + angle ∠OPQ = 360° degrees

Since angle ∠OPQ is given as 36° degrees, we can substitute this value in and simplify:

angle ∠POR + angle ∠ROQ + 36 = 360

angle ∠POR + angle ∠ROQ = 324

Now, we use the fact that angles formed by chords that intersect within a circle are equal.

Since PQ is a chord that intersects chord PR at point O, we know that angle ∠POR is equal to angle ∠OQP. Similarly, angle ∠ROQ is equal to angle ∠OPQ.

Substituting these equalities in, we have:

angle ∠OQP + angle ∠OPQ + angle ∠OPQ = 324

2(angle ∠OPQ) + angle ∠OQP = 324

But we also know that the sum of the angles in triangle OPQ is 180° degrees. Thus:

angle ∠OQP + angle ∠OPQ + angle ∠POQ = 180

angle ∠OQP + 36 + 180 = 180

angle OQP = 144° degrees

Therefore, the measure of angle ∠PRO is:

angle ∠PRO = angle ∠POR + angle ∠OQP

angle ∠PRO = angle ∠OQP + angle ∠POR

angle ∠PRO = 144 + 36

angle ∠PRO = 180° degrees

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The answer of the given question based on the finding the size of PRO is angle PRO = 180°.

A circle is a closed, two-dimensional object made up of a collection of points that are all equally spaced apart from the center. The distance from any point on the circle to its center is known as the radius of the circle. The center of every point in a plane that is isolated from another point by a certain distance is referred to as a circle.

Since P, Q, and R are points on a circle with center O, we know that the measure of ∠POQ is equal to 360° (the total angle measure of a circle).

Therefore, we have:

∠POR + ∠ROQ + ∠OPQ = 360°

Since ∠OPQ is given as 36°, we can substitute this value in and simplify:

∠POR + ∠ROQ + 36 = 360°

∠POR + ∠ROQ = 324°

Now, we use the fact that angles formed by chords that intersect within a circle are equal.

Since PQ is a chord that intersects chord PR at point O, we know that ∠POR is equal to angle ∠OQP. Similarly, ∠ROQ is equal to ∠OPQ.

Substituting these equalities in, we have:

∠OQP + ∠OPQ + ∠OPQ = 324°

2(angle ∠OPQ) + ∠OQP = 324°

But we also know that the sum of the angles in triangle OPQ is 180° degrees. Thus:

∠OQP + ∠OPQ + ∠POQ = 180°

∠OQP + 36 + 180 = 180°

∠OQP = 144°

Therefore, the measure of ∠PRO is:

∠PRO = ∠POR + ∠OQP

∠PRO = ∠OQP + ∠POR

∠PRO = 144 + 36

∠PRO = 180°

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The complete question and circle is attached below,

The area of the figure ( a regular hexagon ) is 314.37 square millimeters     .

A regular hexagon which is inscribed in a circle consist of 6 equilateral triangle. All angle is equal.

So side length of the regular hexagon will be same with the radius of circle.

From the question we have following information :

1. Regular hexagon inscribed in a circle

2. Radius of circle is 11 millimeters.

To find the area of the hexagon we can use following formula

A = (3√3) / 2 * \(r^{2}\)

Substituting r = 11mm into the equation for the area of the hexagon,

A = (3√3) / 2 * \(11^{2}\) = (3√3) / 2 * 121 = 314.367 square millimeters

So the area of the figure is approximately 314.37 square millimeters (rounded to two decimal places).

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Answer:

\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)

Explanation:

\(\sf Time \ taken : \dfrac{Distance}{Speed}\)

Here given:

Applying formula,

\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)

In a skewed distribution, the long tail pulls the mean toward it. In a density curve, the median is where everything level out.

The median, a statistician's measure of central tendency, divides a dataset into two equally sized half. When the data is organized from smallest to largest, it is the midway value (or largest to smallest). The median is the average of the two middle values when there are an even number of values. Since it is unaffected by extreme values, the median is frequently employed as a measure of central tendency when a dataset contains outliers or is skewed.

given

None of the claims are untrue.

The mean will be greater than the median if a density curve is tilted to the right.

The mean and median are equal in a density curve that is symmetric.

In a skewed distribution, the long tail pulls the mean toward it. In a density curve, the median is where everything level out.

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