Work out the area of the shape drawn below.
Give your answer correct to 2 decimal places.

Answer:

8 cm

Step-by-step explanation:

:)

Answer:

56 degrees

Step-by-step explanation:

180-68=112

112/2=56

hope i could help!

Answer:

112

Step-by-step explanation:

The sum of the other two angles is 112 degrees (180-68 = 112).

But the question is, what triangle is it?

Two other angles could be:

1) 90 and 22 degrees;

2) two equal angles of 56 degrees

3) any that would satisfy the condition in the amount of 112 degrees.

To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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The inflation rate is -4.0%. Option B is correct: O.-4.0%.

The Consumer Price Index (CPI) is a measure of inflation. Inflation rate refers to the percentage change in the CPI over time. Therefore, the formula for calculating the inflation rate is:

(CPI in the current year - CPI in the previous year) ÷ CPI in the previous year

To calculate the inflation rate for the given scenario where the CPI was 125 last year and 120 this year, we plug in the values into the formula as follows:(120 - 125) ÷ 125= -0.04 or -4.0%

The rate of inflation measures how much a currency devalues over a given time period. The fact that the consumer price index (CPI) is rising over this period is clear evidence of this devaluation. In other words, it refers to the rate at which the value of the currency is declining, which causes an increase in the overall cost of consumer products.

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Answer:

a repeating decimal repeats while a terminating decimal ends

Step-by-step explanation:

Answer:

12π or 37.7 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr or πd. In this case, r represents the radius, a segment from the center of the circle to any point on the circle. The d stands for diameter, a line running through two endpoints on the circle with the center point in the middle. This means that the diameter is twice the radius (imagine a line cutting across half a pizza and then a line cutting across only a quarter, this is diameter and radius at work!).

To solve for the circumference, I will use both formulas (although πd is easier since the diameter is already given)

2πr

2π(12/2)

2π(6)

12π ≈ 37.7 cm

πd

π(12)

12π ≈ 37.7 cm

-3(n+6)+10=-8

Use distributive property:

-3n -18 +10 = -8

Combine like terms:

-3n -8 = -8

Add 8 to both sides:

-3n = 0

Divide both sides by -3:

n = 0

Answer:

n=0

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

\(\frac{63}{c}\) + d ( substitute c = 7 , d = 1 into the expression )

= \(\frac{63}{7}\) + 1 ← evaluate division before adding

= 9 + 1

= 10

Answer:

5200

Step-by-step explanation:

\(\huge {\red{5.2 \times {10}^{3}}} = \orange {5200} \)

Answer:

D) is your correct answer

Answer:

- 16.2

Step-by-step explanation:

You can just divide it XD

-8.1 ÷ 0.5

= - 16.2

The slope in improper fraction form is 10/11, in integer form 0.91.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

We have an equation of a line;

y+3= 10/11 (x+7).

Rearranging,

y+3 = 10x/11 + 70/11

y = 10x/11 + 70/11 - 3

y = 10x/11 + 67/11 {equation 1}

And we have the slope-intercept form

y = mx +b

Comparing the equation 1 to standard form

we have the slope m = 10/11

Therefore, the slope in improper fraction form is 10/11, in integer form 0.91.

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Answer:

486

Step-by-step explanation:

area of a cube =6x²

length= 9

area=6×9²

=6×81

=486

Answer:

y = 36

Step-by-step explanation:

(9×y)×4 = 9× (y × 4)

36 × 4y = 9y × 36

36 × 36 = 4y × 9y

1296 = 36y

36 = y

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

so basically you have to look for the opposite side of what they give you. then just plot it in

The system of equations that would be used to find the number of boxes of printer paper, represented by p, and the number of printer ribbons, represented by R, that Denny plans to purchase is 11.99p+5.95R = 65.72 and 12.25p+5.80R = 65.75.

According to the question,

We have the following information:

At ACE computers ,a box of paper cost $11. 99 each while printer ribbons cost $5. 95 each. This would result in a total cost of $65. 72. At better computer, a box of paper cost $12. 25 each while printer ribbons cost $5.80 each. This will result in total cost of $65. 75.

Now, the number of boxes of print paper is p and the number of printer ribbons is R.

So, we have the following equations for each case respectively:

11.99p+5.95R = 65.72

12.25p+5.80R = 65.75

Hence, the system of equations that would be used to find the number of boxes of printer paper, represented by p, and the number of printer ribbons, represented by R, that Denny plans to purchase is 11.99p+5.95R = 65.72 and 12.25p+5.80R = 65.75.

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Therefore, the probability that at least half of them must wait for more than 10 minutes is approximately \(1.137 x 10^-13.\)

Additionally, using relevant terms from the question in the answer is helpful.

Explanation:Given that waiting times at a service counter in a pharmacy are exponentially distributed with a mean of 10 minutes, we are to approximate the probability that at least half of the 100 customers must wait for more than 10 minutes.P(X > 10) is the probability of a customer waiting for more than 10 minutes.\(P(X > 10) = 1 - P(X < 10)P(X < 10) = 1 - P(X > 10) = 1 - e^(-10/10) = 1 - e^-1 = 0.632\)

Therefore, \(P(X > 10) = 1 - 0.632 = 0.368\)Thus, P(at least 50 customers wait for more than 10 minutes) =

\(P(X > 10)50 = 0.368^50 = 1.137 x 10^-13.\)

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Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

The system of equations when solved by calculator is (x, y) = (3.304, -0.478)

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

2x - 5y = 9

3x + 4y = 8

Rewrite them in intercept form

So, we have

5y = 2x - 9

4y = -3x + 8

This gives

y = 2/5x - 9/5

y = -3/4x + 2

Solving the system of equations by calculator, we have the following solutions

(x, y) = (3.304, -0.478)

Hence, the solution is (x, y) = (3.304, -0.478)

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Answer:

2052

Step-by-step explanation:

36 X 57 = 2052

brainliest plz? tysm

Answer:

2052

Step-by-step explanation:

Got it on freckle

The ideal way to organize electronically the raw data for a study is to create a structured database or spreadsheet that can easily and efficiently store, sort, and analyze the data.

This will allow for easy retrieval and manipulation of the data, as well as the ability to perform statistical analysis and generate reports. It is important to ensure that the data is accurately recorded and labeled to prevent errors and ensure consistency. Additionally, proper data security measures should be in place to protect the confidentiality and integrity of the data.

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The ideal way to organize electronically the raw data for a study is to use a standardized format, such as a spreadsheet or database, with clear and consistent labeling for each variable.

It is important to ensure that the data is accurate, complete, and easily accessible, and to maintain appropriate security and privacy measures to protect the confidentiality of study participants. Additionally, it is recommended to create a data management plan outlining the procedures for data collection, storage, and sharing throughout the study. This plan should be reviewed and updated regularly to ensure that it remains effective and compliant with relevant regulations and ethical standards. The ideal way to organize electronically the raw data for a study is to use a structured and systematic approach, such as creating a well-designed database or spreadsheet. This allows for efficient data management, easy access, and accurate analysis.

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The distance between the height of the platform and the depth below water is 47ft . The concept of depth describes how far something extends.

A deep area in a body of water is what the word "DEPTH" means.

Ocean depth is most frequently and quickly measured using sound. Sonar, which stands for sound navigation and range, is a technique that allows ships to map the topography of the ocean below. The instrument uses sound waves to send to the ocean's bottom and time how long it takes for an echo to come back.

Water depth is the distance in feet between the ocean's surface and bottom, as determined by mean lower low water.

Use the following formula for measuring ocean depth.

D = V Times 1/2 T D

Depth (in meters) T= Time (in seconds) V = 1507 m/s (speed of sound in water)

In the question we have,

Platform to surface of water = 33ft

Platform to depth below water = 33+14 = 47ft

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A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.

To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.

Here's how the distribution of the various sub-populations can be maintained in the final sample:

1. Determine the proportion of each subgroup in the population:

  - Asian: 500 / 2000 = 0.25 (25%)

  - Hispanic: 1000 / 2000 = 0.5 (50%)

  - Native American: 500 / 2000 = 0.25 (25%)

2. Calculate the number of samples to be chosen from each subgroup:

  - Asian: 0.25 * 200 = 50 samples

  - Hispanic: 0.5 * 200 = 100 samples

  - Native American: 0.25 * 200 = 50 samples

3. Randomly select the specified number of samples from each subgroup.

By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.

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