Are Quadrilaterals A and C congruent??​

The gradient of the stream is 1 meter per kilometre, which means that the stream drops 1 meter for every kilometre travelled. This is a relatively gentle slope and suggests that the stream is not flowing rapidly or eroding its bed very quickly.

The gradient of a stream is a measure of its steepness and is calculated by dividing the change in elevation by the distance travelled. In this case, the stream drops 15 meters in 15 kilometres, which means that the gradient can be calculated as follows:
Gradient = Change in elevation ÷ Distance travelled
Gradient = 15 meters ÷ 15 kilometers
Since we need to express the gradient in terms of meters per kilometre, we can simplify the above equation as follows:
Gradient = (15 meters ÷ 15,000 meters) × 1,000
Gradient = 1 meter per kilometer
Therefore,  understanding the gradient of a stream is important for a range of activities, including flood control, erosion management, and habitat restoration. By monitoring changes in the gradient over time, scientists and engineers can gain insights into the health and behaviour of streams and develop strategies to protect them.

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Answer:

Step-by-step explanation:

Volume of cylinder:  V = π×r² × h

r = 3.2 cm

h = 5 cm

Volume:

V = π×(3.2)²×5 = 51.2π cm³ = 160.8495.... cm³ ≈ 160.85 cm³

Answer:

Step-by-step explanation:

Lets write our equations

7 1/2 x ? = 2

We can substitute x for the ?

7 1/2x = 2

divide each side by 7 1/2

x/7 1/2 = 2/ 7 1/2

x = 2 / 7 1/2

2 / 7 1/2 = 0.266

x= 0.266

Now lets solve for the second equation!

2 * 7 1/2 = 15

Hope this helps! ^^

The required step that is not usually a problem-solving step that use to help to find the right answer is to write the question (given data).

Given that,
When tackling a difficult question, which is NOT usually a problem-solving step that you use to help you find the right answer is to be justified.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Step of the solution,
Step 1 = To write given data
Step 2 = approch
Step 3 = calculation
Step 4 = answer

Thus, The required step that is not usually a problem-solving step that use to htp to find the right answer is to write the question (given data).

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Answer:

c. Write a definition

Step-by-step explanation:

The charge on the K+ ion is 1.6 × 10⁻¹⁹ C. This can be calculated using the force and electric field strength, which are related to the mass and acceleration of the ion.

The mass and acceleration of a K+ ion are given as 6.5 × 10⁻²³ kg and 1.7 × 10⁶ m/s², respectively.

To calculate the charge on the K+ ion, we need to use the formula:

F = ma

Where F is the force, m is the mass, and a is the acceleration.

We can rearrange the formula to solve for the force:

F = ma

F = (6.5 × 10⁻²³ kg) × (1.7 × 10⁶ m/s²)

F = 1.105 × 10⁻¹⁶ N

Next, we can use another formula to calculate the charge on the K+ ion:

F = qE

Where F is the force, q is the charge, and E is the electric field strength. We can rearrange the formula to solve for the charge:

q = F/E

We are given the acceleration of the K+ ion, which we can use to find the electric field strength:

E = a/q

We can substitute the value of acceleration a = 1.7 × 10⁶ m/s² and solve for the electric field strength:

E = a/q

q = a/E

Mass of K+ ion m = 6.5 × 10⁻²³ kg

Acceleration a = 1.7 × 10⁶ m/s²

Charge on K+ ion q = 1.6 × 10⁻¹⁹ C

The charge on the K+ ion is 1.6 × 10⁻¹⁹ C. This can be calculated using the force and electric field strength, which are related to the mass and acceleration of the ion.

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Answer:

x=28, y=17

Step-by-step explanation:

x+y=45

x-y=11

x=28, y=17

28+17=45

28-17=11

Answer:

Let the numbers be a and b

Given that  

a+b=45 ....(1)

a−b=11 ....(2)

Adding these two equations, we get

2a=56

⇒a=28

Substituting value of a in equation (1), we get

28+b=45

⇒b=45−28

⇒b=17

We get a=28 and b=17

This question is incomplete because part of the information is missing; here is the complete question:

Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.

The answer to this question is $10.50

Explanation:

The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:

1. In an equation there is always an equality symbol = and mathematical expressions on both sides.

2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.

3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)

4. Solve the equation

5 (12) + 8x = 144 -Simplify using multiplication

60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol

8x = 144 - 60

8x = 84

x = 84 ÷ 8

x = 10.5

Answer:

Another name for angle 2 is angle DBC

Step-by-step explanation:

This is the only one in the answer choices that is correct. The order in which to follow the points to name an angle is from the endpoint, middle point, endpoint. So, D, B, C. You can also do C, B, D.

If you want to guarantee that two cards are from the same suit, you need only draw five cards (since there is no way you can draw five cards without at least two of them being the same suit)

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

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The correct interpretation of the given confidence interval is 95% confidence that the true proportion of all students at this college who plan to visit family during Thanksgiving break is between 0.83 and 0.93 .
Then the required answer to the given question is Option D.


Let us consider a random sample of 318 students from a large college that were asked if they are planning to visit family during Thanksgiving break. Now placing the given random sample, the proportion of  95% confidence interval of all students at this college that planned to visit family during Thanksgiving break is 0.78 to 0.98 .


The formula for evaluating the confidence interval is

CI = p ± z × √((p × (1 - p)) / n)

Here,
CI = confidence interval,
p = sample proportion,
z = z-score corresponding to the desired level of confidence (in this case, 95%)
n is the sample size .

Applying  the values

CI = 0.88 ± 1.96 × √((0.88 × (1 - 0.88)) / 318)
CI = 0.88 ± 0.05
CI = (0.83, 0.93)
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Answer:

15 boys

Step-by-step explanation:

Whatever number one side of the ratio is multiplied by, the other side has to be multiplied by that same number. So, we have to find the number that 4 is multiplied by to get 20. We can represent this as an equation, where the unknown number is x:

4x = 20

Divide both sides of the equation by 4 to find the value of x:

x = 5

4 was multiplied by 5 to get 20.

To find the number of boys, multiply 3 by 5:

3 * 5 = 15

If there are 20 girls, there will be 15 boys.

Answer:

I don't see any options for inequalities, so I wrote one based on the information.

Step-by-step explanation:

We'll assume that the drinks and cake ($17) are the only items Mr. Saslow needs to purchase and that the remainder may be used on whatever extras he wants.  In this case, candy.

He starts with $32 and spends $17.  The remainder may be spent on candy (all or none).  This can be expressed as an inequality.  Let C be the cost of the candy.

  C \(\leq\) ($32 - $17)

   C \(\leq\) ($32 - $17)

  C \(\leq\) ($15)

Answer:

24

Step-by-step explanation:

hello

8=2*2*2

6=2*3

so the next time they both croak all together is 2*2*2*3=24

hope this helps

Answer:

No its not

hope it helps.

A Type II error in this test of the water diet would be option C: Not concluding that the diet leads to weight loss when it does.

In hypothesis testing, a Type II error occurs when we fail to reject the null hypothesis when it is actually false. In this case, the null hypothesis would be that the water diet does not lead to weight loss, while the alternative hypothesis would be that it does lead to weight loss.

If the volunteers experienced weight loss after six weeks on the diet, but the test fails to detect this and does not conclude that the diet leads to weight loss, it would be a Type II error. This means that the study fails to provide sufficient evidence to support the claim that the water diet is effective for weight loss, even though it actually is.

It's important to note that the specific Type II error in this context may depend on the specific hypothesis being tested and the chosen significance level.

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Answer:

B

Step-by-step explanation:

I'm assuming the end point is to draw line CG parallel to AB. Question doesn't specify. Student A is drawing the line CG before the point G has even been determined yet

The correct option is (b) 88.97 mm^2. To find the area of a sector in a circle, we can use the formula: Area of Sector = (θ/360°) * π * r^2

where θ is the central angle of the sector, π is the mathematical constant pi, and r is the radius of the circle.

In this case, the radius of the circle is given as 10 millimeters and the central angle is 102°. Let's substitute these values into the formula:

Area of Sector = (102°/360°) * 3.14 * (10 mm)^2

Simplifying the expression:

Area of Sector = (0.2833) * 3.14 * 100 mm^2

Area of Sector ≈ 88.97 mm^2

Interpretation: The area of the sector with a central angle of 102° in a circle with a radius of 10 millimeters is approximately 88.97 mm^2. This means that if we were to shade the region corresponding to this sector on the circle, the shaded area would be approximately 88.97 square millimeters.

It's important to note that when using the formula for the area of a sector, we multiply the central angle by (π/360°) to convert it to radians before calculation. Additionally, we use the value of π as 3.14, but more precise values of π can be used for more accurate calculations if needed.

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Answer:

The answer is

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by \( \frac{\pi}{180} \)

From the question the value to be converted is - 420°

The value in radians is

\( - 420 \times \frac{\pi}{180} \\ = - \frac{420\pi}{180} \)

Reduce the fraction with 60

We have the final answer as

\( - \frac{7\pi}{3} \)

Hope this helps you

Answer:

d'accord est-ce moi ou pas la même chose que j'ai fait

Answer:

29.33333... feet per second

Step-by-step explanation:

20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280

105600÷60=1760  You divide 105600 by 60 because there are 60 minutes in an hour

1760 ÷ 60  You divide it by 60 again because there are 60 seconds in a minute

Your answer is 29.33333...

200+30+0+0.70+0.01

Hope it's right

Answer:

Expanded Notation Form:

 200  

+ 30  

+ 0  

+   0.0

+   0.07

+   0.001

Expanded Factors Form:

 2 × 100  

+ 3 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 7 ×   0.01

+ 1 ×   0.001

Expanded Exponential Form:

2 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 7 × 10-2

+ 1 × 10-3

Word Form:

two hundred thirty and seventy-one thousandths

Step-by-step explanation:

Using the limit value calculation rules and the knowledge that 1/n approaches 0 as n approaches infinity, we can determine the following limit values.

1. Let's consider the limit values of the form lim(n→∞) f(n), where f(n) is a function. When n approaches infinity, the limit of 1/n approaches 0. We can apply this knowledge to simplify the limit calculations.

2. For instance, if we have lim(n→∞) (3/n), we can rewrite it as (3 * 1/n). Since 1/n approaches 0, the limit becomes (3 * 0), which equals 0.  Similarly, if we have lim(n→∞) (5 + 1/n), we can rewrite it as (5 + 0), which simplifies to 5.

3. In general, when we have a constant 'c' added or subtracted to 1/n, the limit value is equal to 'c'. This is because the 1/n term dominates as n approaches infinity, reducing the contribution of 'c' to zero.

4. Therefore, using the limit value calculation rules and the fact that 1/n approaches 0 as n approaches infinity, we can justify that the limit values of expressions involving 1/n simplify to 0 or the constant 'c' depending on the context of the function.

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The radian measure of angle A is (16/9)π.

To convert degrees to radians, we use the conversion factor:

\(1\ degree = \pi /180\ radians\)

Given that angle A is 320 degrees, we can calculate its radian measure as follows:

Angle A in radians = (320 degrees) * (π/180 radians/degree)

                    = (320π)/180 radians

                    = (16/9)π radians

Therefore, the radian measure of angle A is (16/9)π.

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Answer:

Step-by-step explanation:

radius of semicircle =4.7/2 m

area of semicircle=1/2 πr²

=1/2 ×π×(4.7)²

≈8.67 m²

fertiliser=8.67×20

=173.4

≈173 gm

Answer:

9(x + 3)

Step-by-step explanation:

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The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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Answer:

The logical way is very simple:

Since you know that there are 5 digits and each must be different, start with the first digit and work your way up.

The first digit can be any of 10 digits (0–9).

However, the second digit can be any of only 9 digits as 1 digit has already been used and cannot be repeated.

Similarly, applying the same logic, there are only 8 options for the third digit, 7 for the fourth digit, and 6 for the fifth and final digit.

Now, multiply all these numbers together to get the total number of configurations like so:

10⋅9⋅8⋅7⋅6=30240

Answer:

I believe it is D

Step-by-step explanation: