a rectangle is such that its length and width are in the ration 3:4 if its perimeter is 28 cm what are its dimensions and what is its area

The ratio of the area of the smaller square to the area of the larger square, that have a perimeter ratio of 2:7 is 4:49

The ratio of the perimeter of the squares = 2 : 7

Required: The ratio of the area of the smaller square to the larger square.

Solution: The perimeter of a square of side x is 4•x

The comparative length of the side of each square are therefore;

2/4 and 7/4

The comparative area are therefore;

The ratio of the areas of the square is therefore;

(2/4)² : (7/4)² = 1/4 : 49/16

Multiplying both sides of the ratio by 16 gives;

16×1/4 : 16×49/16

4:49

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We can answer this question with help of an example:

For example, two squares are congruent because they have the same shape and size, while two rectangles that have the same basic shape but different lengths and widths are similar.

In geometry, congruent refers to the exact same shape and size, while similar refers to shapes that have the same basic shape but may be a different size.

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For the given question, we will match each trinomial to its factored form.

So, we will factor each given trinomial:

The factors of the trinomial will be:

And the second trinomial:

The third trinomial will be:

The fourth trinomial will be:

The area of the triangle is 31.54 square units

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

We have the following values

a = 7 units

c = 11 units

B = 55 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 7 * 11 * sin(55 degrees)

Evaluate

Area = 31.54

Hence, the area is 31.54 square units

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From the diagram shown, the algebraic expression representing the perimeter of the shape is 12x - 10

This is determined by substituting the values into the formula for perimeter.

The formula for determining the perimeter of an isosceles trapezoid is expressed as;

Perimeter = a + b + c + d

Note that none of the sides of an isosceles trapezoid are equal

Where;

Now, let's substitute the values into the formula for perimeter of an isosceles trapezoid

Perimeter = x + (2x + 5) + ( 3x + 2) + (6x - 17)

Now, expand the bracket

Perimeter = x + 2x + 5 + 3x + 2 + 6x - 17

collect like terms

We have;

Perimeter = x + 2x + 3x + 6x + 5 + 2 - 17

Add like terms

Perimeter = 12x + 7 - 17

Perimeter = 12x - 10

Thus, the algebraic expression representing the perimeter of the shape is 12x - 10

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Answer:

To find the percent increase between the average low and high temperatures in July, we need to calculate the difference between the average high and low temperatures and then divide that difference by the average low temperature. Finally, we multiply the result by 100 to get the percentage increase.

The difference between the average high and low temperatures is:

90°F - 69°F = 21°F

To find the percentage increase, we need to divide the difference by the average low temperature and multiply by 100:

Percentage increase = (21°F / 69°F) × 100%

≈ 30.4%

Therefore, the percent of increase between the average low and high temperatures in July is approximately 30.4%, rounded to the tenths place.

Answer:

2nd question 4y is a coefficient

Step-by-step explanation:

4y^2 - 18y + 2

4 is the coefficient 18 is also a coefficient, because of the y, 2 is the constant. when a number has a variable, or a letter, it is a coefficient. 4y^2 is a term, 18y is a term, and 7 is a term. 3 terms with a coefficient of 4. i hope you get it right

Answer:

57.5 milkshakes

Step-by-step explanation:

To find the number of milkshakes the ice cream shoppe sold in one hour, you can use the given information to set up the following equation: 15/4 = 71.25/X. Solving for X, we get X = 71.25 * 4/15 = 57.5. Therefore, the ice cream shoppe sold 57.5 milkshakes in one hour.

19

Step-by-step explanation:

15/4= 3.75

71.25 / 3.75=19

Answer:

you'll give BRAIN?????

Step-by-step explanation:

Answer:

\(c=\frac{5}{\cos35^{\circ}}\)

Step-by-step explanation:

Using basic trig for right tringles (\(\cos\theta =\frac{\text{adj}}{\text{hyp}}\)), we have the following equation:

\(\cos 35^{\circ}=\frac{5}{c},\\c=\boxed{\frac{5}{\cos 35^{\circ}}}\).

The value of c in the right triangle ABC is 5 / cos 35°

Right triangle has one of its sides as 90 degrees. The sides of a right triangle can be found using trigonometric ratios as follows;

cos 35 = adjacent  / hypotenuse

where

adjacent side = 5 inches

c = hypotenuse

Therefore,

cos 35° = 5 / c

cross multiply

c cos 35° = 5

divide both sides by cos 35°

c = 5 / cos 35°

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Answer:

x=\(\frac{8}{23}\)

Step-by-step explanation:

you have to  divide 23 into both sides and that gives you \(\frac{8}{23}\)  

The equation of P in the given equation is P = 100N/W

The equation is given as:

W = 100N/P

Multiply both sides by P

WP = 100N

Divide both sides by W

P = 100N/W

Hence, the equation of P in the given equation is P = 100N/W

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The integral we get: ∬dxyda = ∫[0,2] (x\((6-3x/2)^{2/2}\))dx

To evaluate the double integral ∬dxyda over the triangular region D with vertices (0,0), (2,0), and (0,6), we need to set up the integral in terms of x and y and determine the bounds of integration.

Since D is a triangular region, we can express it as follows:

0 ≤ x ≤ 2

0 ≤ y ≤ 6 - 3x/2

We need to integrate the function xy with respect to both x and y over the given bounds.

The double integral can be written as:

∬dxyda = ∫[0,2]∫[0,6 - 3x/2]xydydx

To evaluate this integral, we first integrate with respect to y and then with respect to x. The inner integral integrates xy with respect to y, giving \((xy^{2/2})\). Then, we integrate the resulting expression \((xy^{2/2})\) with respect to x over the bounds [0,2].

Evaluating this integral, we get:

∬dxyda = ∫[0,2] (x\((6-3x/2)^{2/2}\))dx

Simplifying and evaluating this integral will provide the final result.

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Answer:

(_1,_7),(_2,_6),(_3,_5),(_4,_4)(_5,_3)

The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

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Answer:

Asking four boys and four girls from each first period class which type of cake they prefer.

Step-by-step explanation:

cant really explain it just knew it off the top of my head.

Andrew can reach a maximum of \(24.6ft\) high up the wall.

The right-angled triangle formed can be solved using the \(sine\) ratio. that is

\(sin(72^\circ})=\dfrac{h}{20}\)

where \(h\) is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for \(h\), we get

\(0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft\)

Since Andrew can reach an extra \(5ft\) above the point where the ladder rests against the wall, the maximum height Andrew can paint is

\((19.632+5)ft=24.632ft\\\\\approx24.6ft\)

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The correct answer is B. Increase the sample size and modify the design of the survey to decrease the standard deviation.

The confidence level in statistics denotes the likelihood that the estimation of the position of such a statistical parameter (e.g., an arithmetic mean) in a survey study is also true for such population.

Some characteristics of confidence level are-

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The complete question is-

A researcher is conducting a survey for which she currently has 93% confidence level. What would be two actions that she could take that would be most likely to increase the confidence level in her survey result?

A. Increase the sample size and modify the design of the survey to increase the standard deviation.

B. Increase the sample size and modify the design of the survey to decrease the standard deviation.

C. Decrease the sample size and increase the randomness of the survey sample.

D. Modify the design of the survey to increase the standard deviation and decrease the randomness of the survey sample

Answer:

√2r

Step-by-step explanation:

Notice the following: √2r-√2r+√2r = (√2r-√2r) + √2r. What happens we you subtract two numbers that are the same? It becomes 0. So its just 0 + √2r = √2r

Answer:

4/9 x 3/8 = 1/6

Step-by-step explanation:

Answer:

B.2x-5=x+25

Step-by-step explanation:

2x+15=35            x = 10

4/5x=8                x = 10

2x-5=x+25          x = 30

2x+7=27             x = 10

4/3x=x+10/3       x = 10

Answer:

6.00475

Step-by-step explanation:

The probability of a subscriber not having internet service or cable tv service is P(NIS ∩ NCTV) = P(NIS) x P(NCTV) = 0.2 x 0.4 = 0.08.

The probability of a subscriber not having internet service or cable tv service can be calculated using the general probability formula P(A ∩ B) = P(A) x P(B). In this case, A is not having internet service and B is not having cable tv service. According to the given variables, the probability of not having internet service is 0.2 and the probability of not having cable tv service is 0.4. Therefore, the probability of a subscriber not having internet service and not having cable tv service is P(NIS ∩ NCTV) = P(NIS) x P(NCTV) = 0.2 x 0.4 = 0.08. This means that the probability a subscriber does not have internet service or has cable tv service is 8%.

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The 14th term of the geometric sequence 10, 20, 40, ... is 81920.

"A geometric sequence is a special type of sequence. It is a sequence in which every term (except the first term) is multiplied by a constant number to get its next term."

The geometric sequence formulas include the formulas for finding its nth term and the sum of its n terms. We will see the geometric sequence formulas related to a geometric sequence with its first term 'a' and common ratio 'r' (i.e., the geometric sequence is of form \(a, ar, ar^{2},ar^{3} ,.............\)). Here are the geometric sequence formulas.

\(a_{n}=ar^{n-1}\)

Given geometric sequence

10, 20, 40, .........

From the given sequence

\(a_{1} = 10\), \(a_{2} = 20\), \(a_{3} = 40\)

Using the formula \(a_{n}=ar^{n-1}\)

⇒ \(a_{4} = 10(2)^{3} =80\)

⇒ \(a_{5} = 10(2)^{4} =160\)

⇒ \(a_{6} = 10(2)^{5} =320\)

⇒ \(a_{7} = 10(2)^{6} =640\)

⇒ \(a_{8} = 10(2)^{7} =1280\)

⇒ \(a_{9} = 10(2)^{8} =2560\)

.

.

.

⇒ \(a_{14} = 10(2)^{13} =81920\)

Hence, the 14th term of the geometric sequence 10, 20, 40, ... is 81920.

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Answer:

1,500 points per minute

Step-by-step explanation:

You can tell it's 1500 points per minute because the lines meet up at (2,3) meaning that 3/2 = 1500, to double check you could do 9/6 where the points also meet up at the exit of the graph which is ALSO 1.5 meaning 1,500 points per minute

Answer:

D

Step-by-step explanation:

cos 30 = 9/x

x = 9/(\(\sqrt{3}/2\)) = 6\(\sqrt{3}\)

(6\(\sqrt{3}\))² - 9² = x²

x² = 27

x = 3\(\sqrt{3}\)

Answer:79°

Step-by-step explanation:

Given the 124° angle, the other angle formed by that line and the top side of the square must be 56°, as they are supplementary angles (they must add up to 180°). This means that the angle formed by that same line and the bottom side of the square is also 56° since it is a corresponding angle and the top and bottom sides of a square are parallel. The angle that a diagonal of a square forms with the sides of a square is always 45°.

So now we have a triangle (in red in my diagram) with angles of 45°, 56°, and x°. The sum of the angles of a triangle must always equal 180°, so we solve for x:

56 + 45 + x = 180

x = 180 - 56 - 45 = 79

So angle x must be 79°.

The season is the explanatory variable in this case and the number of visitors to the beach serves as the response variable in this instance.

The variable about which a researcher is posing a particular query is known as a response variable.

The variable in our illustration was the quantity of Halloween candy you gathered.

Numerous variables, referred to as explanatory variables, might have an impact on the response variable.

A response variable is what changes as a result of an explanatory variable being manipulated or seen to change (for example, the amount of caffeine consumed) (e.g., reaction times).

With other concepts used in research, the terms "explanatory variable" and "response variable" are sometimes used interchangeably.

So, get the explanatory and response variables in this case.

The independent variable is referred to as the explanatory variable. The variable itself has been changed.

The variable that changes as a result of manipulating the explanatory variable is referred to as the response variable.

Here, just the impending arrival of summer has changed.

As a result, it signifies that the response variable in this situation is the number of people, and the impending summer is the explanatory variable.

Therefore, the season is the explanatory variable in this case and the number of visitors to the beach serves as the response variable in this instance.

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