Write in simplest form. Ysgrifennwch mewn ffurf symlaf. 15cm:12mm

In the given right triangle, the perimeter is 12 in.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the length of the two legs (a and b). Hence,

c^2 = a^2 + b^2

In the given triangle,

c = x in

a = 3 in

b = 4 in

Hence,

x^2 = 3^2 + 4^2

x^2 = 9 + 16

x^2 = 25

x = √25

x = 5

The perimeter of a geometric shape is the sum of all its side. Hence,

Perimeter = 3 + 4 + 5 = 12 in

Note: The question is incomplete. The complete question probability is: Using the Pythagorean theorem, find the perimeter of the triangle.

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A sequence is characterised as one that adheres to a predetermined pattern. The following term is created by increasing or decreasing the previous word by a certain amount.

On occasion, an expression is followed by every term in the series. The general formula for an AP is T n = a + (n - 1) d.

Understanding the underlying pattern or rule that creates the sequence is necessary for formulating the general term an of the sequence. Finding a formula for the overall term of a series can be done in a number of ways, including:

1) Finding a pattern: In some cases, a pattern can be found by examining the terms of the sequence and looking for a common ratio or difference. For instance, the formula for the general term can be written as a = a1 + (n - 1)d, where a1 is the first term and d is the common difference, assuming the terms of a sequence are rising by a constant amount.

2) Recurrence relations are used to characterise some sequences. These relations define the nth term in terms of the phrases that came before it. If the recurrence relation, for instance, is a = an-1 + an-2, then the general term's formula can be discovered by resolving the recurrence relation.

3) Making use of generating functions: Sequences can be represented mathematically using generating functions. A formula for the general term of a sequence can be discovered by fiddling with the generating function.

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Answer: 3.67

Step-by-step explanation:

3 2/3 is 3 + 2/3 (as a fraction is 0.66 recurring which is rounded to 0.67)

Answer:

0.96%

Step-by-step explanation:

10.39/10.93

Answer:

y = 3x - 3

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 )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 3x - 3 ← equation of line

Answer:

21

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

27-2(3)=21

Answer: √60

Step-by-step explanation:

Answer:

1.10

Step-by-step explanation:

i think

Answer:

4.20 ez

Step-by-step explanation:

The probability of drawing a number that is a perfect square is 5/30, which simplifies to 1/6.

To find the probability of drawing a number that is a perfect square from a pack of 30 cards numbered 1 to 30, we need to determine the total number of perfect square numbers in that range and divide it by the total number of cards.

The perfect square numbers from 1 to 30 are 1, 4, 9, 16, and 25. These are the numbers whose square roots are whole numbers.

So, there are 5 perfect square numbers in the range of 1 to 30.

The total number of cards in the pack is 30.

Therefore, the probability of drawing a number that is a perfect square is 5/30, which simplifies to 1/6.

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Observations consisting of pairs of variable data are required to construct a scatter plot chart. A scatter plot chart is a graphical representation of the relationship between two variables.

One variable is plotted on the horizontal axis, while the other variable is plotted on the vertical axis. Each point on the chart represents an observation or data point consisting of a pair of values for the two variables being plotted. The scatter plot chart is useful for identifying patterns, trends, and relationships between the variables. It can also be used to detect outliers or unusual observations that do not follow the general pattern of the data.

The scatter plot chart can be enhanced by adding regression lines or trend lines, which provide a visual representation of the linear relationship between the two variables. Overall, the scatter plot chart is a powerful tool for analyzing and understanding the relationship between two variables in a dataset.

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Observations consisting of pairs of variable data are required to construct a scatter chart.

A scatter chart is a graphical representation of a set of observations where one variable is plotted on the x-axis and the other variable is plotted on the y-axis. Scatter charts are useful in identifying patterns and relationships between the two variables. The strength and direction of the relationship between the variables can be determined by examining the pattern of the scatter chart. If the data points are tightly clustered around a straight line, then there is a strong linear relationship between the two variables. On the other hand, if the data points are scattered without any pattern, then there is no relationship between the two variables. Scatter charts are commonly used in scientific research, marketing analysis, and other fields where two variables need to be analyzed simultaneously.

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The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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Answer:

15.12 ÷ 12 = 1.26 per burger

Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

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Answer:is there any choices?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 0.0008

Please correct me if I'm wrong.

Answer: D

Step-by-step explanation: The part of the lawn that receive the new lawn food may also get more shade than other parts of the lawn. And the shade might also cause fewer weeds

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

Yes

Step-by-step explanation:

If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where a and b are the legs and c is the hypotenuse.

The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.

a=16

b=63

c=65

\(16^2+63^2=65^2\)

Evaluate each exponent.

16^2=16*16=256

\(256+63^3=65^2\)

63^2=63*63=3969

\(256+3969=65^2\)

65^2=65*65=4225

\(256+3969= 4225\)

Add 256 and 3969

\(4225=4225\)

The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.

Answer:

b=4

perimeter=12

Step-by-step explanation:

frist find b by using pythagory theorm

the a+b+c=perimeter

DI is generally considered to provide the highest level of control to investing firms compared to other modes of entry.

The mode of entry that offers the highest level of control to the investing firms is d. FDI (Foreign Direct Investment).

Foreign Direct Investment refers to when a company establishes operations or invests in a foreign country with the intention of gaining control and ownership over the assets and operations of the foreign entity. With FDI, the investing firm has the highest level of control as they have direct ownership and decision-making authority over the foreign operations. They can control strategic decisions, management, and have the ability to transfer technology, resources, and knowledge to the foreign entity.

In contrast, the other modes of entry mentioned have varying levels of control:

a. Contractual Agreements: This involves entering into contractual agreements such as licensing, franchising, or distribution agreements. While some control can be exercised through these agreements, the level of control is typically lower compared to FDI.

b. Joint Venture: In a joint venture, two or more firms collaborate and share ownership, control, and risks in a new entity. The level of control depends on the terms of the joint venture agreement and the ownership structure. While some control is shared, it may not offer the same level of control as FDI.

c. Equity Participation: Equity participation refers to acquiring a minority or majority stake in a foreign company without gaining full control. The level of control depends on the percentage of equity acquired and the governance structure of the company. While equity participation provides some level of control, it may not offer the same degree of control as FDI.

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The work needed to extend the spring to a length of 2 m is 1.875 Joules.

To find the work needed to extend the spring to a length of 2 m, we can use the concept of work done by a force in stretching a spring.

The work done is given by the formula:

Work =\((1/2)k(x^2 - x0^2)\),

where k is the spring constant, x is the final displacement, and x0 is the initial displacement (equilibrium length).

Given:

Equilibrium length (x0) = 1 m

Force applied (F) = 5 N

Final displacement (x) = 2 m

We need to find the spring constant (k) to calculate the work. The spring constant can be determined using Hooke's Law:

F = k * x

Substituting the values:

5 N = k * 4 m

Solving for k:

k = 5 N / 4 m = 1.25 N/m

Now we can calculate the work done to extend the spring to a length of 2 m:

Work = (1/2) * k * (x^2 - x0^2)

     = (1/2) * 1.25 N/m * ((2 m)^2 - (1 m)^2)

     = (1/2) * 1.25 N/m * (4 m^2 - 1 m^2)

     = (1/2) * 1.25 N/m * 3 m^2

     = (1/2) * 3.75 N*m

     = 1.875 J

Therefore, the work needed to extend the spring to a length of 2 m is 1.875 Joules.

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Answer:

Therefore if a regular polygon has exterior angles of 15 degrees then the number of sides must be 360/15 = 24.

Answer:

Step-by-step explanation:

Sum of exterior angles of regular polygons is 360°.

If each angle measures 15°, then the number of sides:

To write a program that prompts the user for a list of values, stores them in an array using dynamic memory allocation, and computes the average value, you can follow these steps:

Declare necessary variables, such as the size of the array, a pointer to the dynamically allocated array, and a variable to store the sum of values.

Prompt the user to enter the size of the array and read the input.

Allocate memory for the array dynamically using the size entered by the user.

Prompt the user to enter values for each element of the array and store them.

Calculate the sum of all values entered.

Compute the average value by dividing the sum by the size of the array.

Output the list of values entered by iterating over the array.

Display the calculated average value as an integer.

By following these steps, you can create a program that interacts with the user, dynamically allocates memory for the array, stores the entered values, calculates the average, and outputs the results. It's important to properly manage memory allocation and deallocation to avoid memory leaks and ensure efficient memory usage.

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An example of a compound interest problem and the solution problem is:

"Sarah deposits $10,000 into a savings account with a 5% annual interest rate compounded annually. How much will she have in the account after 3 years?"

Solution: Sarah will have $11,576.25 in the account after 3 years.

The compound interest on the same sum at the same rate for the same period, compounded annually, is:

$6,646.34

Sarah deposits $10,000 into a savings account with a 5% annual interest rate compounded annually. How much will she have in the account after 3 years?

To solve this problem, we can use the formula for compound interest: A = P(1 + r)^n, where A is the final amount, P is the principal amount, r is the annual interest rate, and n is the number of years.

To find the compound interest on the same sum at the same rate for the same period, we can use the same formula for compound interest: A = P(1 + r)^n.

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Answer:

y = 2x + 1

Step-by-step explanation:

If we consider the gradient m = 2 and point (1, 3) through which the line passes, we can use the equation y - y1 = m (x - x1) to express the equation of the line in the form y = mx + c.

y - 3 = 2 * (x - 1)

y - 3 = 2x - 2

y - 2x = -2 + 3

y - 2x = 1

y = 2x + 1

The equation of the line of best fit is ŷ = 0.06x + 2.57

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

Years Since 2000 0 1 2 3 4 5 6 7 8 9

Average Cost ($) 2.59 2.81 2.65 2.67 2.88 2.70 2.85 2.88 3.17 3.24

Next, we enter the above values in a graphing tool;

The calculation summary are as follows

The regression equation is represented as

ŷ = bx + a

Where

b = SP/SSX = 4.94/82.5 = 0.06

a = MY - bMX = 2.84 - (0.06*4.5) = 2.57

So, we have

ŷ = 0.06x + 2.57

Hence, the equation of the line of best fit is ŷ = 0.06x + 2.57

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