You empty a 2-liter bottle every 8 seconds into tanks that hold 50 gallons. How long will it take you to fill 11 tanks? (3.8 l = 1 gallon)(Convert 11 tanks to hours)

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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As we know,

and

now, let's add them as shown ~

Answer:

\(y = (x-2)^{2} -4\)

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so \(2^{2}\)

\(y + ? = x^{2} - 4x + ?\)

\(y + 2^{2} = x^{2} - 4x + 2^{2}\)

\(y + 4 = x^{2} - 4x + 4\)

Now we can factor the expression

\(y + 4 = (x-2)^{2}\)

Move the 4 to the other side to isolate y which changes the sign

\(y = (x-2)^{2} - 4\)  

Answer:

\(x=\sqrt{15,} -5\)

Step-by-step explanation:

Here's the complete chart:

Month  Balance Interest Payment New Balance

0  $1,357.56     -            -          $1,357.56

1 $1,383.54 $23.98 $150 $1,257.52

2 $1,409.62 $26.08 $150 $1,266.06

3 $1,435.81 $27.19 $150 $1,473.61

Percent is a way of expressing a fraction or a ratio as a number out of 100. The word "percent" comes from the Latin per centum, which means "per hundred." Percentages are commonly used in many areas, including finance, economics, and statistics. For instance, interest rates, inflation rates, and stock market returns are often expressed as percentages. In addition, percentages are used to calculate discounts, markups, and taxes.

Here,

To calculate the new balance by the end of the 3rd month, we need to use the formula for the balance after n months with monthly payments:

B(n) = (1 + r)ⁿ * B(0) - (PMT/r) * [(1 + r)ⁿ-1]

where B(0) is the initial balance, r is the monthly interest rate, PMT is the monthly payment, and n is the number of months.

In this case, we have:

B(0) = $1357.56

r = 1.7% per month = 0.017

PMT = $150

n = 3 months

Plugging these values into the formula, we get:

B(3) = (1 + 0.017)³ * $1357.56 - ($150/0.017) * [(1 + 0.017)³ - 1]

= $1473.61

Therefore, the new balance by the end of the 3rd month is $1473.61.

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The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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Answer:

A = 25π square feet

Step-by-step explanation:

C = 2πr

10π = 2πr

10π = 2πx

10π / 2π = 2πx / 2π

5 = x

This means 5 is the radius of the circle. We now need to find the area:

A = πr\(r^{2}\)

A = π(5)²

A = π(25)

A = 25π

Answer:

Step-by-step explanation:

A coin of 25 grams contains 16 grams of copper.

Then a coin hundred grams contains (100×16)/25 = 64 grams of copper.

Hence the percentage of copper in the coin is 64%.

*I hope that this answer will help you.

Step-by-step explanation:

nickel is  9 grams out of (9 + 16) = 25 grams by weight

    9 is what percent of 25?

            9 / 25  * 100% =    36%

Answer:

where is the spinner at least attact an attachment so i can see the spinner and how the odds of likely it can turn out

Step-by-step explanation:

The probability of any day being rainy last year is 21/73 .

In the question ,

it is given that ,

In past year ,

the number of days it rained in last past year = 105 days

total number of days in past year = 365 days .

So , the probability of any day being rainy last year is = (number of days it rained )/(total number of days ) .

Substituting the values , we get

probability of any day being rainy last year = 105/365

Simplifying further , we get

= 21/73

Therefore , The probability of any day being rainy last year is 21/73 .

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Combining similar terms:

Answer:

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Step-by-step explanation:

3 dozen chocolate chip cookies

3 cups of flour

1 cup of sugar

2 cups of chocolate chips

The recipe is for 3 dozen cookies as stated above.

If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.

That means you need 2/3 of all the ingredients.

2/3 × 3 dozen chocolate chip cookies

2/3 × 3 cups of flour

2/3 × 1 cup of sugar

2/3 × 2 cups of chocolate chips

We simplify the amounts to:

2 dozen chocolate chip cookies

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

The measure of the side EH from the give figure is 8m

Figures are known to be similar if the ratio of their similar sides are equal. The given figures isa quadrilateral wit 4 sides.

Using the similarity theorem;

AD/EH = AB/EF

Substitute the given parameters

16/s = 28/14

Cross multiply the expression to determine the value of s

28s = 16 * 14

2s =16

Divide both sides by 2

2s2 = 16/2

s = 8

Hence the measure of the side EH from the give figure is 8m

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The roster method of the set A' = {14, 15, 20}

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

A typical example of the roster method is to write the set of numbers from 1 to 5 as {1, 2, 3, 4, 5}.

Therefore,

U = universal sets = {14, 15, 16, 17, 18, 19, 20}

A = {16, 17, 18, 19}

Therefore, let's find A' as follows:

A' is the value not in A. Hence, in roster method.

A' = {14, 15, 20}

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Here are the completed tables for each sequence:

Sequence 1 Sequence 2 Ordered Pair

5                    15                   (5, 15)

6                        14               (6, 14)

7                        13             (7, 13)

8                    12                 (8, 12)

9                   11                (9, 11)

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x.

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x. This means that the two sequences are increasing at the same rate.

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Given,

The expression of the function is,

The value of h(-5) is,

The value of h(2) is,

The value of h(4) is,

The required sample sizes are given as follows:

a) Previous estimate of 0.52: n = 1839.

b) No previous estimate: n = 1842.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of 0.995, so the critical value is z = 2.575.

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

For an estimate of 0.52, the parameters are given as follows:

\(M = 0.03, \pi = 0.52\)

Hence the sample size is obtained as follows:

\(0.03 = 2.575\sqrt{\frac{0.52(0.48)}{n}}\)

\(0.03\sqrt{n} = 2.575\sqrt{0.52 \times 0.48}\)

\(\sqrt{n} = \frac{2.575\sqrt{0.52 \times 0.48}}{0.03}\)

\((\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.52 \times 0.48}}{0.03}\right)^2\)

n = 1839.

Without a previous estimate, the sample size is given as follows:

\(0.03 = 2.575\sqrt{\frac{0.5(0.4)}{n}}\)

\(0.03\sqrt{n} = 2.575\sqrt{0.5 \times 0.5}\)

\(\sqrt{n} = \frac{2.575\sqrt{0.5 \times 0.5}}{0.03}\)

\((\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.52 \times 0.5}}{0.03}\right)^2\)

n = 1842.

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Answer:

7 inches

Step-by-step explanation:

Now the area of a rectangle equals to length by width or in this scenario, height by base.

Therefore, we take a look at what we already have.

We got 5 inches for height and 35 squared inches as the area.

h= 5 inches a=35squared inches b=?

*Therefore, 5 x b =35

Through substitution this becomes:

*35/5= b

*Therefore b=7 inches

Given the total pound of pretzels, max has to be 1/3 of a pound

To obtain what max's friend will get

Divide the total max has by 2

Hence, max's friend will receive 1/6 pound of pretzels

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

21 dollars

Step-by-step explanation:

like my answer pls :)

Kevin will have to pay the amount of $21 for the necklace when the necklace is 40% off.

The percentage is defined as a ratio expressed as a fraction of 100.

Kevin wishes to purchase a $35 necklace for his mother. If the necklace is on sale for 40% off,

If the necklace is 40% off, Kevin will have to pay 60% of the original price, since 100 - 40 = 60.

To find out how much Kevin will have to pay, you can multiply the original price of the necklace by 60% and then divide the result by 100 to convert it to a dollar amount.

For example, if you multiply $35 by 60% and then divide by 100, you get:

($35 × 60%) / 100 = $21

Therefore, he will have to pay $21 for the necklace.

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Answer:

The number of shaded squares changes by 2 in each figure

Therer will be 90 squares shaded in the 50th figure

Step-by-step explanation:

Brainliest PLS

Answer:

1. I'm not exactly sure but I would say that you add two to every square.

2. 90

Step-by-step explanation:

To find the first answer, you just add and count the squares.

To find the second answer, you just add two to every square, up to 50 squares.

Answer:

3.5

Step-by-step explanation:

because 7÷4 is 3.5 because seven division of 4 is three point five

The solution set to the inequality is y < 3

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

15 y minus 9 less-than 36

So, we have

15y - 9 < 36

We can simplify it by adding 9 to both sides:

15y < 45

Then, we can isolate y by dividing both sides by 15:

y < 3

Hence, the solution is y < 3

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Answer: 3

Step-by-step explanation:

A term is a group of numbers and variables.

A coefficient is just the number attached to the variable.

A constant is just a number.

Hope this helps :)

Answer:

Here's an interesting project idea for mathematics that can relate three different topics:

Topic 1: Fractals

Topic 2: Chaos Theory

Topic 3: Differential Equations

Research Question: Can fractals be used to model chaotic systems described by differential equations?

In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.

Your research paper can cover the following areas:

Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.

Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.

Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.

Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.

Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.

Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.

Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.

Step-by-step explanation:

The correct answer is (b) 54 in.², which Matches just performed.

The area of a triangle, we use the formula:

Area = (1/2) * base * height

Given that the base (b) is 9 inches and the height (h) is 12 inches, we can substitute these values into the formula:

Area = (1/2) * 9 * 12

Simplifying the equation:

Area = (1/2) * 108

Area = 54

Therefore, the area of the triangle with a base of 9 inches and a height of 12 inches is 54 square inches.

Among the options given:

(a) 90 in.²

(b) 54 in.²

(c) 10.5 in.²

(d) 162 in.²

The correct answer is (b) 54 in.², which matches the calculation we just performed.

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The image of the figure after the dilation is added as an attachment

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

Scale factor = 2 centered at the origin.

The coordinates of the figure are

(2, 2), (2, 5), (-2, 2) and (-2, 5)

When dilated by 2 centered at the origin, we have

Image = Points * 2

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

Image = (2, 2), (2, 5), (-2, 2) and (-2, 5) * 2

Evaluate

Image = (4, 4), (4, 10), (-4, 4) and (-4, 10)

The graph is added as an attachment

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