Can someone help me?

Answer:

okay i'll keep this in mind

Step-by-step explanation:

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

For more such questions on triangle.

https://brainly.com/question/17335144

#SPJ8

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

Step-by-step explanation:

m= 25 and b= 450

y= 25x+450

I believe proportional

positive slope

please correct me if I am wrong

The value of x and the unknown angles of the triangle are as follows;

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore, let's find the value of x using the exterior angle theorem.

Hence,

37 + 3x + 47 = 5x + 62

3x - 5x + 37 + 47 = 62

-2x = 62 - 37 - 47

-2x = -22

x = -22 / -2

x = 11

Therefore, the angles are as follows:

3x + 47 = 3(11) + 47 = 33 + 47  = 80 degrees

5x + 62 = 5(11) + 62 = 55 + 62 = 117 degrees

learn more on angles here: https://brainly.com/question/29641033

#SPJ1

Answer:

Step-by-step explanation:

Assume each player get x cards. Total number of cards now is 4x+24=52.

Therefore, 4x=52-24=28.

Then, x= 28/4=7.

Answer:

5,6,7 because they are in line with the letter

The number, n which is 24% of 100 as required in the task content is; n = 0.24 × 100.

It follows that the required number is to be 24% of 100, hence, the number can be represented as follows;

24% of 100

= (24/100) × 100

= 0.24 × 100

Read more on percentages;

https://brainly.com/question/16865197

#SPJ1

Answer:

75

Step-by-step explanation:

4:3

4x25=100

3x25=75

Answer:

90

Step-by-step explanation:

since mean = sum of terms / number of terms, we can find the total sum of the tests currently to see how much it needs to be raised

76 * 6 = 456

x = score of the new test

(456 + x)/7 = 78

x =90

Answer:

D. $30

Step-by-step explanation:

All you have to do is multiply 15 by 2 and you'll get 30.

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

The sketch of the front elevation and the side elevation of the prism are added as an attachment

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

Read more about prism at

brainly.com/question/23178481

#SPJ1

the proof by mathematical induction involves establishing the basis step, proving the inductive step, and using mathematical induction to show that the formula holds true for all non-negative integers.

The problem asks us to determine whether each of the proposed recursive definitions is a valid definition of a function f from the set of non-negative integers to the set of integers. If it is well defined, we are asked to find a formula for f(n) when n is a non-negative integer and to prove that the formula is valid.    

After finding the formula for f(n), we are asked to prove its validity using mathematical induction. To do this, we first need to establish the basis step and the inductive step.

The basis step is the first step in the proof by mathematical induction. We need to prove that the formula holds true for the smallest value of n, which is usually 0 or 1. In this case, we need to prove that P(0) and P(1) are true.

Next, we need to prove the inductive step. This involves assuming that the formula holds true for some arbitrary value of n and using that assumption to prove that the formula also holds true for n+1.

To prove that the formula holds true for all non-negative integers, we need to show that the basis step and inductive step are both true. We can then conclude that the formula is valid for all non-negative integers by mathematical induction.

The proof of the inductive step can be completed by assuming that P(1) ∧ P(2) ∧ ... ∧ P(k) is true, and then using this assumption to prove that P(k + 1) is true. This is usually done by manipulating the formula for f(n) and using algebraic properties to show that the formula holds true for n+1.

In summary, the proof by mathematical induction involves establishing the basis step, proving the inductive step, and using mathematical induction to show that the formula holds true for all non-negative integers.

To know more about mathematical induction click here:

brainly.com/question/31244444

#SPJ4

Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

For such more questions on Sustainable Energy Bill Study

https://brainly.com/question/3159537

#SPJ8

Answer:

11/15

Step-by-step explanation:

17/8 is to 17/20 as 11/6 is to x.

(17/8) / (17/20) = (11/6) / x

(17/8)x = 17/20 * 11/6

(17/8)x = 187/120

(8/17) * (17/8)x = 8/17 * 187/120

x = 11/15

Answer:

11/15

Step-by-step explanation:

just got it right !! :)

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

Q (2,4) and R (-3,9)

The distance between them is

\( |QR| = \sqrt{ ({2 + 3})^{2} + ( {4 - 9})^{2} } \\ = \sqrt{ {5}^{2} + ( { - 5})^{2} } \\ = \sqrt{25 + 25} \\ = \sqrt{50} \\ = 5 \sqrt{2} \\ = 7.0710678...\)

We have the final answer as

Hope this helps you

Answer:pls brainliest :D

Step-by-step explanation:

To find the average daily balance for January, we need to find the total balance for the month and divide by the number of days in the month.

Starting balance: $700

Sofa purchase: $1100

Payment on January 14th: $550

Lamps and household items purchase: $475

Total balance: $700 + $1100 + $475 - $550 = $1825

There are 31 days in January, so the average daily balance is: $1825 / 31 = $58.87.

a. We can start by factoring out the greatest common factor of the three terms, which is 2: 2(x² - 3x - 10)

b. 2x² - 6x - 20 can be factorized as 2(x - 5)(x + 2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

a. To fill in the gaps, we need to factorise the quadratic expression 2x² - 6x - 20. We can start by factoring out the greatest common factor of the three terms, which is 2:

2(x² - 3x - 10)

b. To factorise 2x² - 6x - 20 into a(x+b)(x+c), we need to find values for a, b, and c such that:

a(x+b)(x+c) = 2x² - 6x - 20

Expanding the right-hand side of the equation gives:

a(x² + bx + cx + bc) = 2x² - 6x - 20

We can simplify the left-hand side by grouping the "x" terms together:

a(x² + (b+c)x + bc) = 2x² - 6x - 20

Since this equation must hold for all values of x, we can equate the coefficients of x², x, and the constant term separately:

Coefficient of x²: a = 2

Coefficient of x: a(b+c) = -6

Constant term: abc = -20

From the first equation, we know that a = 2. Substituting this into the second equation gives:

2(b+c) = -6

b + c = -3

To solve for b and c, we can use the third equation:

2bc = -20

We need to find two values of b and c that multiply to -10 (since 2 is already determined) and add up to -3. One possible pair of values is -5 and 2, since (-5)(2) = -10 and (-5) + 2 = -3. Therefore, we have:

b = -5, c = 2

Substituting these values into the factored form, we get:

2x^2 - 6x - 20 = 2(x - 5)(x + 2)

Therefore, 2x² - 6x - 20 can be factorised as 2(x - 5)(x + 2).

Learn more about fatorization on:

https://brainly.com/question/26923098

#SPJ1

Answer:

$102.80

Step-by-step explanation:

First, find the amount of money she used. To find that, you multiply 5.25 by 6.20 which equals to 32.55. Maria spent $32.55 on meat. Then, subtract 135.35 (her starting amount) by 32.55 (the amount she spent on meat). This equals to 102.80 meaning she has $102.80 dollars left.

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

For similar questions on De Morgan's law

https://brainly.com/question/28735989

#SPJ8

Answer:

x > -2

Step-by-step explanation:

3x>-6

Divide each side by 3

3x/3 > -6/3

x > -2

Answer: 15 bookmarks and 5 posters

Step-by-step explanation:

The ways to translate the figure include:

It doesn't change its orientation.

It also doesn't change its size or shape.

When a geometric figure glides up, down, left, or right on the coordinate plane, this is referred to as translation. The figure changes its location but not its orientation. It also retains its size and shape. When you translate a figure, you slide it left or right, up or down.

When you translate a figure, you slide it left or right, up or down. This indicates that the coordinates for the figure's vertices will vary on the coordinate plane. To graph a, make the same modification at each point. The variations in coordinates of a reflection can be used to identify it.

Learn more about translation on:

https://brainly.com/question/1046778

#SPJ1

Answer:

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Answer:

All real numbers.

Step-by-step explanation:

So we have the equation:

\(6y-8=2(3y-4)\)

First, distribute the right side:

\(6y-8=6y-8\)

As we can see, both expressions on both sides of the equation are the exact same. In other words, every value of y will make the equation true. Thus, the answer is all real numbers.

Answer:

infinite solutions

Step-by-step explanation:

1 solution means that only 1 number can replace that variable

No solution means that no numbers can replace that variable. If the 2 sides of the question cannot be solved or they are different, then that equation has no solutions.

Infinite solution means that any number can replace that variable. If the 2 sides of the equation the same, then it is an infinite solution.

6y - 8 = 2(3y - 4)

=> 6y - 8 = 6y - 8

Since both sides of the equations are the same, "y" can be any number.

So, this equation has infinite solutions.