what is the area of rectangular region r ? each diagonal of r has length 5. the perimeter of r is 14.

Answers

Answer 1

The area of rectangular region r is = 12.

Given:

each diagonal of r has length 5. the perimeter of r is 14.

Let l and b be the length and breadth of a rectangle.

we know that

perimeter of rectangle = 2 ( l + b )

2 ( l + b ) = 14

divide by 2 on both sides

( l + b ) = 14/2

l + b = 7

l = 7 - b

l^2 + b^2 = d^2

( 7 - b )^2 + b^2 = 5^2

7^2 + b^2 - 2 * 7 * b  + b^2 = 25

49 + 2b^2 - 14b = 25

2b^2 - 14b + 24 = 0

on solving b = 4,3

Take any one value

b = 4

l = 7 - 4

l = 3

Area of rectangle = l * b

= 4 * 3

= 12

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Related Questions

p l e a s e h e l p
(Only spaced it cus I needed 20 characters, danke)

p l e a s e h e l p (Only spaced it cus I needed 20 characters, danke)

Answers

Answer:

y = 63

Step-by-step explanation:

A straight line is equal to 180 degrees.

180 = 2y - 18 + y + 9

180 = 3y -9

189 = 3y

189/3

y = 63

Answer:

63

Step-by-step explanation:

2y-18+y+9=180 degrees

3y-9=180 degrees

3y=189 degrees

y=63 degrees

PLS HELP ME PLSSSSSS

 PLS HELP ME PLSSSSSS

Answers

Answer:

A

Step-by-step explanation:

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?

Answers

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

What are scatterplots?

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlation

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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Three friends are going to split the cost of a birthday gift. The gift cost $25. How much will each person have to pay (round to the nearest cent – which means nearest hundredth)?

Answers

Each person will have to pay $8.33

what are the answers to thissss? HELP PLS !

only answer if you know! any other answers will be reported !

what are the answers to thissss? HELP PLS !only answer if you know! any other answers will be reported

Answers

Answer:

  see attached

Step-by-step explanation:

You want an amortization schedule for a loan of $55,000, repaid in 36 years with 3.9% interest compounded quarterly.

Payment amount

We assume the payments will be made quarterly. The amount of the payment is computed using the amortization formula:

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount of the loan, r is the annual interest rate, n is the number of payments and compoundings per year, and t is the number of years.

For this loan, the payment amount is ...

  A = $55,000·(0.039/4)/(1 -(1 +0.039/4)^(-4·36)) = $712.42

Interest

The amount of interest is the quarterly interest rate multiplied by the balance. The interest due on the first payment is ...

  (0.039/4)·($55,000) = $536.25

Principal amount

The amount of the payment left after paying interest is applied to the principal amount. The balance of the loan is reduced by that amount.

For the first payment, the amount used to reduce the principal is ...

  $712.42 -536.25 = $176.17

New balance

As we said, the principal amount reduces the outstanding balance, so the balance after the first payment is ...

  $55,000 - 176.17 = $54,823.83

These calculations are repeated for each row of the table, so it is convenient to let a spreadsheet do them.

what are the answers to thissss? HELP PLS !only answer if you know! any other answers will be reported

Which source would be most relevant for an essay with the following
research question:
"Why should volunteering be a graduation requirement for high
schoolers?"
A. An article that describes how students who play sports excel at
teamwork and problem-solving
B. A book describing how volunteering is the best way for young
people to build character
C. A county website that lists all the different volunteer
opportunities available in the community
O D. Results from a survey showing that parents think there are too
many demands on high schoolers

Which source would be most relevant for an essay with the followingresearch question:"Why should volunteering

Answers

I'm not 100% sure but B sounds the most correct.

Answer:

A book describing how volunteering is the best way for young people to build character

Step-by-step explanation:

Ap3x

Can someone please help me

Can someone please help me

Answers

The rate of change of y with respect to x is -1.5. Please give brainliest!!!

Answer these please!!!

Answer these please!!!

Answers

The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

Answer these please!!!

Who's a les bian here? Can we be friends?

Answers

Answer:

mmmmmeeeeeeeeeeeeeeeeeeeeee

hey

Step-by-step explanation:

Kathy is paid $7.50 per hour for babysitting. If she babysits for 5 hours on Friday night, write an equation to represent how much she will be paid. Explain your reasoning. Then solve the equation​

Answers

Answer:

$37.5

Step-by-step explanation:

$7.50=in one hr

$? =in five hr

since you can cross each other

therefore the resalt it will give $37.50 right

Answer:

$7.50(1h.)

7.50×5=37.5

what is the value of the following expression tan (-5pi/6)

Answers

The value of the expression tan(-5π/6) can be determined using trigonometric properties and  identities.

First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.

The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.

In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.

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If p 2, show that exactly half the nonzero elements in GF(p) are squares. 21

Answers

We can conclude that exactly half of these nonzero elements (i.e., 10 out of 20) are squares in GF(21).

To show that exactly half the nonzero elements in the finite field GF(p) are squares, where p is a prime number, we can use the fact that the nonzero elements in GF(p) form a cyclic group of order p-1 under multiplication.

Let's consider GF(2) as an example, where p = 2. In this case, the nonzero elements are {1}, and 1 is the only square element since 1² = 1. Thus, half of the nonzero elements (i.e., 1 out of 2) are squares.

Now let's consider a prime number p > 2. The nonzero elements in GF(p) are {1, 2, 3, ..., p-1}. We know that the order of the multiplicative group of GF(p) is p-1, and this group is cyclic. Therefore, we can write the elements as powers of a generator α: {α⁰, α¹, α², ..., \(\alpha ^{p-2}\)}.

To determine whether an element x is a square, we need to find another element y such that y² = x. Let's consider the element \(\alpha ^{k}\), where 0 ≤ k ≤ p-2. We can write \(\alpha ^{k}\) = \(\alpha ^{i^{2} }\), where 0 ≤ i ≤ (p-2)/2.

Now, if \(\alpha ^{k}\) is a square, then there exists an i such that \(\alpha ^{k}\)= \(\alpha ^{i^{2} }\). Taking the square root of both sides, we get \(\alpha ^{k}\) = \(\alpha ^{2i}\). This implies that k ≡ 2i (mod p-1), which means k and 2i are congruent modulo p-1.

Since 0 ≤ k ≤ p-2 and 0 ≤ i ≤ (p-2)/2, there are exactly (p-1)/2 possible values for k. For each of these values, we can find a corresponding i such that \(\alpha ^{k}\) = \(\alpha ^{i^{2} }\). Thus, exactly half of the nonzero elements in GF(p) are squares.

In the case of p = 21, we have a prime number. The nonzero elements in GF(21) are {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}. Following the same reasoning, we can conclude that exactly half of these nonzero elements (i.e., 10 out of 20) are squares in GF(21).

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Graph the image of this figure after a dilation with a scale factor of 12centered at the point (−3, 0)

Answers

Answer:

bro tbh just use like or

Step-by-step explanation:

its not that deep

how tall is a bridge if a 6-foot-tall person standing 100 feet away can see the top of the bridge at an angle of 30 degrees to the horizon

Answers

Answer:

R. 6+100 tan30∘=6+1003√3 feet tall.

Susan made a pizza in the shape of a rectangle.Then she cut it into N smaller pieces by 7 straight cuts.Each cut was parallel to aside of the pizza.Which number can't be the number N of the pieces

Answers

Answer:

Hello your question lacks the required options hence i will give you a general answer.

answer : 29 pieces

Step-by-step explanation:

To determine the number of pieces that can be cut out by 7 straight cuts

we will apply the relation below

F(n) = 1/2 ( n^2 + n + 2 )

where n = 7

F(7) = 1/2 ( 49 + 7 + 2 )

therefore N  = 1/2 ( 58 ) =  29 pieces

Mariah is drawing a picture on a square sheet of paper. The paper has an
area of 49 square inches. What is its perimeter?
Show your work.

Answers

Answer:

28 inches.

Step-by-step explanation:

The side length of the square can be found by taking the square root of the area, which is 7 inches.

The perimeter of a square is simply 4 times the length of one of its sides, so the perimeter of this square paper is:

4 x 7 inches = 28 inches

Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)?
Subtract 7 from –5.
Multiply 8 and 3.
Divide 7 by 2.
Add 6 and –5.

Answers

do you mean

6+(-5-7)/2-8(3)?

-5-7= -12

6+-12/2-8(3)

8(3)=24

6+-12/2-24

-12/2=-6

6+-6-24

6+-6=0

0-24= 24

Answer:

Subtract 7 from –5.

Step-by-step explanation:

Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.



Write an equation to represent the relationship between the dollar amount Kiran is spending and the number of games, x, and the number of rides, y, he could do.

Answers

Answer:

.25x+1y=12

Step-by-step explanation:

there is no step by step

If p(a) is 0.6, p(b) is 0.5, probability of both the events happening together is 0.25> What is the probability of either event occurring?

Answers

To find the probability of either event occurring, we can use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B).

Given that P(A) = 0.6, P(B) = 0.5, and P(A and B) = 0.25, we can substitute these values into the formula.

\(P(A or B) = P(A) + P(B) - P(A and B)\)
\(P(A or B) = 0.6 + 0.5 - 0.25\)
\(P(A or B) = 0.85 - 0.25\)
\(P(A or B) = 0.60\)
The probability of either event occurring is 0.60 or 60%.

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The probability of either event occurring can be found by adding the probabilities of the individual events and subtracting the probability of both events happening together. In this case, the probability of either event A or event B occurring is 0.6.

The probability of either event occurring can be calculated using the principle of addition. To find the probability of either event happening, we need to sum the individual probabilities of the events and subtract the probability of both events happening together.

Given:

p(a) = 0.6 (probability of event A occurring)
p(b) = 0.5 (probability of event B occurring)
p(a and b) = 0.25 (probability of both events happening together)

To calculate the probability of either event occurring, we can use the formula:

p(a or b) = p(a) + p(b) - p(a and b)

Substituting the given values into the formula:

p(a or b) = 0.6 + 0.5 - 0.25

p(a or b) = 0.85 - 0.25

p(a or b) = 0.6

Therefore, the probability of either event A or event B occurring is 0.6.

To understand this concept better, let's consider an example. Suppose event A represents rolling a fair six-sided die and getting an even number (2, 4, or 6). The probability of event A occurring would be 0.5. Now, let event B represent flipping a fair coin and getting heads. The probability of event B occurring would be 0.5.

If we want to find the probability of either rolling an even number or flipping heads, we can use the formula mentioned earlier. The probability of rolling an even number is 0.5, the probability of flipping heads is 0.5, and the probability of both happening together is 0.25. Plugging these values into the formula, we get:

p(A or B) = 0.5 + 0.5 - 0.25

              = 0.75

Therefore, the probability of either rolling an even number or flipping heads is 0.75.

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Tom's bedroom door is 8 feet tall and 4 feet wide. A new door would cost $5.00 per square foot. How much would a new bedroom door cost in total?

Answers

The area of the door is 8 feet x 4 feet = 32 square feet.

So a new door would cost 32 square feet x $5.00 per square foot = 160.00

plz help with this (pic)

plz help with this (pic)

Answers

The answer is h=7

Step-by-step explanation:

plz help with this (pic)
plz help with this (pic)

One-third of the students in Mrs. Hayko's class walk to school. Of the students who do not walk to school, four-fifths take the bus.

a.) What fraction of the students in Mrs. Hayko's class take the bus to school?

b.) How many students might be there in her class?​

Answers

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

PLEASE HELP DUE TODAY! MARKING BRAINILIEST!!

PLEASE HELP DUE TODAY! MARKING BRAINILIEST!!
PLEASE HELP DUE TODAY! MARKING BRAINILIEST!!
PLEASE HELP DUE TODAY! MARKING BRAINILIEST!!

Answers

Answer:

I guess your answer would be sqaures!

Step-by-step explanation: The other categories can vary on the types of shapes and all but a square is always the same shape! :)

All monkeys are good chess players. All wookies are monkeys. All wookies are good chess players. what is the conclusion?

Answers

The average conclusion is that since they are monkeys, all wookies are good chess players.

Two premises form the basis for the conclusion. All monkeys are skilled chess players, according to the first postulate. The idea that all Wookies are monkeys is the second premise. The first assumption indicates that all monkeys are brilliant chess players, and since the second premise states that all wookies are monkeys, it follows that all wookies must likewise be good chess players. The conclusion is that since they are monkeys, all wookies are good chess players. This conclusion comes logically from the two supplied premises. The conclusion is also presumptively true because the premises are believed to be true.

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What value of x is in the solution set of the inequality –2(3x 2) > –8x 6? –6 –5 5 6

Answers

The value of x in the solution set of the inequality: - 2(3x+2) > -8x + 6 is x>5.

- 2(3x+2) > -8x + 6

Let's solve the inequality by isolating the variable x.

or, - 6x -4 > -8x + 6

Add 4 on both sides

or, - 6x - 4 + 4 > -8x + 6 + 4

or, -6x > -8x + 10

Add 8x on both sides

or, -6x + 8x > -8x +8x +10

or, 2x > 10

Divide both sides by 2

or, 2x/2 > 10/2

0r, x > 5

Hence, the value of x in the solution set of - 2(3x+2) > -8x + 6 is x>5.

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The complete question is :

What value of x is in the solution set of the inequality -2(3x+2) > -8x + 6?

Answer:

5

Step-by-step explanation:

how much rainfall, on average, does the nile delta in lower egypt receive each year?

Answers

Answer: 100 to 200 mm

Step-by-step explanation:

here are 12 crayons in a box. How many boxes will be needed for 8 children if each child gets 7 crayons?

Answers

Answer:

5 boxes

Step-by-step explanation:

multiply the crayons (7) by the number of children (8) to see how many crayons are need (56). Then dived that by how may crayons come in a box(12). that gives you 4.6 so round that up and your are left with the answer 5 . 5 boxes

For her job, Carrie earns 20% commission on her total sales. To pay for an upcoming vacation, Carrie needs to earn $200 in commission. What must Carrie’s sales total for the week?

Answers

Answer: sorry i do not know

Step-by-step explanation:

The total sales for the week are $1000.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10


We have,

Commission percentage = 20%

Total sales = T

Now,

Commission earned = $200

This means,

20% of T = 200

(20/100) x T = 200

T = (200 x 100)/20

T = 1000

Thus,

Carrie's total sales are $1000.

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what is the equation for the regression line that predicts home equity using credit score as the explanatory variable?

Answers

The regression line that forecasts home equity using the FICO credit score as the explanatory variable has the equation Y' = 1798X + 0.

Due to the fact that this linear regression model includes two parameters that need to be estimated from training data, it has two degrees of freedom. One additional column in the data (one additional input variable) would provide the model one extra degree of freedom.

An equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable, represents a linear regression line. A line's intercept (the value of y when x = 0) is equal to the slope of the line, which is b.

Hence we get the required answer.

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45 divided by 855 show your work!

Answers

Answer:

45 divided by 855 is a very odd number however 855 divided by 54 is 19 ... because 45 multiply by 19 is 855

The answer is 19. You can use long division or a calculator.
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