in square , point is the midpoint of side and point is the midpoint of side . what is the ratio of the area of triangle to the area of square ? express your answer as a common fraction.

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

for such more question on scale factor

https://brainly.com/question/3381225

#SPJ8

The best answer to submit for (515 x 0.0025) + 24.57 is 25.8575.

A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. Decimal notation is the name for the method used to represent numbers in the decimal system. The Hindu-Arabic numeral system has been expanded to include non-integer values.

To find the answer to the expression (515 x 0.0025) +24.57, we can simplify it by performing the multiplication and addition in the correct order:

(515 x 0.0025) + 24.57 = 1.2875 + 24.57 = 25.8575

Therefore, the best answer to report is C. 25.8575.

For more questions on Decimal Numbers

https://brainly.com/question/28579947

#SPJ4

Answer:

75.615 m^3

Step-by-step explanation:

volume is length x width x height

7.1*7.1*1.5

75.615 m^3

Answer:

POINTS

Step-by-step explanation:

Table A represents a function.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Functions are crucial instruments in the creation of mathematical models because we continually develop beliefs about connections between variables in nature and society. Typically, functions in school mathematics contain numerical inputs and outputs and are frequently specified by algebraic expressions.

Given,

Table A represents a function,

A visual table with columns and rows that shows the function in relation to the input and output is called a function table. Function tables are frequently referred to as function machines by younger students. Each function has a rule that governs how the input and output are related to one another.

To learn more about function, visit:

https://brainly.com/question/12431044

#SPJ13

Just add the two numbers that make the big circle.

36 plus 26 which is 62

is that an awnser?

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

Explanation:

Check out the diagram below to see what's going on.

Use the pythagorean theorem to find b

\(a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\\)

The length is roughly 3.7 feet.

Answer:

Step-by-step explanation:

read the question it says

a 10 mile bike rade is DIVIDED into 4 equal sections

10 DIVIDED BY 4

10÷4=104 miles

By using the law of exponent the value of (24)⁻¹ is equal to  1/24.

To simplify (24)⁻¹, we can apply the rule for negative exponents.

The rule states that any non-zero number raised to the power of -n is equal to the reciprocal of that number raised to the power of n.

Applying this rule to (24)⁻¹, we have,

(24)⁻¹

= 1 / (24)¹

= 1 / 24

Therefore, applying the law of exponent (24)⁻¹ simplifies to 1/24.

Learn more about laws of exponent here

brainly.com/question/28834295

#SPJ4

The above question is incomplete, the complete question is:

Using laws of exponents with integer exponents ,simplify (24)⁻¹.

one over two raised to the power of negative four one over two raised to the fourth power .

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Learn more about null hypothesis

brainly.com/question/29387900

#SPJ11

Answer:

no

if you Let 3x be the number of boys

Let 2x be the number of girls

3x + 2x = 24

5x = 24

x = 4.8

3(4.8) = 14.4 boys

2(4.8) = 9.6 girls

There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense

Answer:

A. The slope is  \(\frac{3}{2}\)

B.  the slope of the tangent line at x = 1 is also the instantaneous rate of change at that point.

Step-by-step explanation:

PART A: Slope

Given tangent line;

\(y = \frac{3x}{2} + \frac{9}{2}\)

The slope of the tangent line is equal to the derivative of the function;

\(\frac{dy}{dx} =\frac{3}{2}\)

the slope = \(\frac{3}{2}\)

PART B: Correct statement that describe the slope of a tangent line:

A secant line is a straight line joining two points on a function and the slope of the function is equal to average rate of change of the function between the two points.

A tangent line is a straight line that touches a function at only one point, and the slope of the function is equal to the instantaneous rate of change of the function at that one point.

Thus, the correct statement is " the slope of the tangent line at x = 1 is also the instantaneous rate of change at that point".

Answer:

Pythagorean Theorom: a^2+b^2=c^2

Take the largest number of each as C (hypotenuse)

3,4,5

(3)^2+(4)^2= (5)^2

25=25

Therefore it is a Pythagorean Triple.

8,15,17

(8)^2+(15)^2=(17)^2

289=289

Therefore it is a Pythagorean Triple.

The total surface area and volume of prism are:

Volume = 576 in³

Total Surface Area = 336 in²

The volume of the prism is calculated as:

Volume = Base Area * Height

Thus, we have:

Volume = (12 * 8) * 6

Volume = 576 in³

The total surface area is the sum of the surface area of all individual surfaces and as such we have:

Total Surface Area = (8 * 12) + (12 * 6) + (12 * 10) + 2(0.5 * 8 * 6)

Total Surface Area = 96 + 72 + 120 + 48

Total Surface Area = 336 in²

Read more about surface area and volume at: https://brainly.com/question/30794567

#SPJ1

According to the unitary method, the amount of clay required to make one piece of the game is 3/8 ounces (option a).

The unitary method is a method of solving a problem by finding the value of one unit, and then using that value to find the value of another unit. In this case, we need to find the value of one piece of the game, given the total amount of clay used and the number of identical pieces made.

To solve this problem using the unitary method, we first need to find the value of one unit, which in this case is the amount of clay used to make one piece of the game. To do this, we will divide the total amount of clay used (9 ounces) by the number of pieces made (24):

Value of one unit = Total amount of clay used / Number of pieces made

= 9 ounces / 24 pieces

= 3/8 ounces per piece

Therefore, option A in the given choices is correct.

To know more about unitary method here

https://brainly.com/question/28276953

#SPJ4

The height of the flag pole which is described as in the task content is; 8.2m.

The horizontal distance between the 6m house and the flagpole in discuss can be evaluated by means of the angle of depression and trigonometric identity, tan as follows;

tan 22° = 6/x

x = 6/tan 22 = 14.9m.

Consequently, the horizontal distance from the top of the house to the top of the flagpole is therefore;

tan 9° = y/14.9

y = 14.9 tan 9° = 2.2m

Ultimately, the height of the flagpole is; 6+2.2 = 8.2m.

Read more on trigonometric identities;

https://brainly.com/question/24349828

#SPJ1

The sketches of the vector PQ and the equivalent vector are added as an attachment

Given that

Initial point, P = (0, -4)

Terminal point, Q = (4, -1)

To sketch the vector PQ, we can plot the initial point P(0, -4) and the terminal point Q(4, -1) in a coordinate plane and draw an arrow from P to Q.

See attachment for the sketch such that the arrow represents the vector PQ, which starts at P and ends at Q.

To sketch the equivalent position vector, we can place the initial point of the vector at the origin (0,0) and draw an arrow from the origin to the terminal point Q(4, -1).

See attachment for the sketch

Read more about vectors at

https://brainly.com/question/3184914

#SPJ1

Answer:

51..................................................................................

Step-by-step explanation:

ggs bad anwser

Answer:

Sales tax is $5.6    Total cost is $75.6

Step-by-step explanation:

It's called math :D

We can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

Based on the line of best fit for the data, we can estimate the number of servings of kakigori Cho will sell on a day when the high temperature is 29° Celsius.

From the scatter plot, we can see that the line of best fit is increasing as the temperature increases.

By estimating the value on the line of best fit for the temperature of 29° Celsius, we can approximate the number of servings sold. Based on the scatter plot, it appears that the number of servings sold is around 100 when the temperature is 29° Celsius.

Therefore, we can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

Learn more about Scatter Plot here:

https://brainly.com/question/29231735

#SPJ1

Answer:

A e f

Step-by-step explanation:

Hope this was helpful!!!

By cross multiplication, we have found the following results:

a) 20 miles are equal to 32.180 kilometers.

b) 64 kilometers are equal to 39.776 miles.

In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.

First, we must convert a distance of 20 miles to kilometers by cross multiplication:

x = 20 mi × (1.609 km / 1 mi)

x = 32.180 km

Second, we must convert a distance of 64 kilometers to miles by cross multiplication:

x = 64 km × (1 mi / 1.609 km)

x = 39.776 mi

The graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.

To learn more on conversion factors: https://brainly.com/question/13259295

#SPJ1

Answer:

here is the answer⬇️

Answer:

15.71 cm

Step-by-step explanation:

Equation for the circumference of a circle: 2πr or dπ where r is the radius & d is the diameter.

5*π = 15.71

Answer:

15.71 cm

Step-by-step explanation:

Use the circumference formula, C = 2\(\pi\)r

Since the radius of half of the diameter, the radius will be 2.5 cm

Plug in the radius into the formula and solve:

C = 2\(\pi\)r

C = 2\(\pi\)(2.5)

C = 15.71

So, the circumference of the circle is approximately 15.71 cm

Answer:

82.89 cm to the nearest hundredth.

Step-by-step explanation:

Volume = πr^2h     where r = radius, h = height of the water.

r = 1/2 * 48 = 24 cm and the volume = 150 * 100 = 150,000cm^3 (as there are 1000 cm^3 in 1 litre).

So, substituting, we have:

150000 = π*24^2*h

h = 150000/π*24^2

  =  82.893 cm

Answer:

\(5 \times 5 = 25 \)

\(25 \times 30 = 750\)

Answer:

2/3

Step-by-step explanation:

0.6666667 as a fraction is 2/3

Answer:

Part A = 2/3

Part B = 12

Step-by-step explanation:

2/3 of 18 would be 12

Hope this helped, have a great day

The probability associated with failing to reject the null hypothesis when it is false is called the Type II error rate.

This error rate is the likelihood of incorrectly accepting the null hypothesis when the alternative hypothesis is actually true. It is denoted as beta (β) and is often calculated before conducting a hypothesis test. The probability of making a Type II error depends on several factors, including the sample size, the significance level, and the effect size.
It is important to minimize the Type II error rate in order to increase the power of a hypothesis test, which is the probability of correctly rejecting the null hypothesis when it is false. A higher power means that the test is more likely to detect a true effect and avoid false negative results. However, reducing the Type II error rate usually requires increasing the sample size or relaxing the significance level, which may not be feasible or desirable in some cases. Therefore, it is crucial to carefully consider the trade-offs between the Type II error rate, the power, and the practical implications of the hypothesis test before making any conclusions.

Learn more about null hypothesis here:

https://brainly.com/question/28920252

#SPJ11

The length of line segment DE is 10 units

A line CE is given, on which three points  C, D and E lies in such a way that

length of line segment CD = 20

length of line segment CE = 32

We need to find the length of line segment DE

We know from the property of a straight line that, sum of all the length of line segments of a line is equal to the total length of the straight line

Therefore, CD + DE = CE

Putting values, we will get

20 + DE = 32

DE = 32 -20

DE = 10

Hence, the length of line segment DE is 10 units

To learn more about, line, here

https://brainly.com/question/2696693

#SPJ1

A) H0: μ = 8mg, Ha: μ ≠ 8mg.

B) \(t = (x̄ - μ) / (s / sqrt(n)) = (10.3 - 8) / (2 / sqrt(25)) = 5.5\).

C) Degrees of freedom = n - 1 = 24, two-tailed t-test, α = 0.01, critical values are  ±2.492. p-value < 0.01.

D) We reject the null hypothesis and conclude that there is strong evidence that the mean amount of active ingredient in all dosages produced is different from 8 mg. The sample mean is significantly higher than 8 mg, indicating that the production process needs improvement.

(A) The null hypothesis is that the population mean of the active ingredient is equal to 8 mg, while the alternative hypothesis is that it is different from 8 mg. In symbols, H0: μ = 8 vs. Ha: μ ≠ 8.

(B) We apply the t-test formula to determine the value for the test statistic:

\(t = (xbar - μ) / (s / sqrt(n))\)

where Î14 is the estimated population mean, n is the number of samples size, x bar represents the sample mean, and s is the standard deviation of the sample. Plugging in the values from the problem, we get:

\(t = (10.3 - 8) / (2 / sqrt(25)) = 3.25\)

(C) To determine the critical value or the p-value, we look up the t-distribution with 24 degrees of freedom ( df = n - 1) and a two-tailed significance level of 0.01. The critical values are  ±2.492, while the p-value is less than 0.01.

(D) Based on the results, we reject the null hypothesis and conclude that the mean amount of active ingredient in all dosages produced is different from 8 mg at the 1% significance level. In practical terms, this means that the drug production process needs to be investigated and improved to ensure that the correct amount of active ingredient is consistently delivered in each dosage.

To know more about mean visit :

https://brainly.com/question/30727743

#SPJ4

Answer:

Yes

Step-by-step explanation:

13 x 2 = 26

12 x 3 = 39