Please help! 10 pts

In a rectangle, a diagonal forms a 36° angle with a side. Find the measure of the angle between the diagonals, which lies opposite to a shorter side

The answer is 80, because if you work backwards, you add 30 by 10, which equals 40, 40*2 equals 80.

On solving the provided question we can that - the answer ig the given expressions are \((4x^2 + 5x + 6)/(x + 3)x\\\) and  \((x^2 + 11x + 6)/(x + 2)(x + 5)\\\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.

On solving the below equation -

\(2x/(x + 2) - (x - 3)/(x + 5)\\= {2x(x + 5) - (x - 3)(x + 2) }/(x + 2)(x + 5)\\= { 2x^2 + 10x - (x^2 - x -6)}/(x + 2)(x + 5)\\= (x^2 + 11x + 6)/(x + 2)(x + 5)\\\)

And also,

\(3x/(x + 3) + (x + 2)/x\\= (3x^2 + x^2 + 5x + 6)/(x + 3)x\\= (4x^2 + 5x + 6)/(x + 3)x\\\)

To know more about equations visit:

https://brainly.com/question/29657988

#SPJ4

It is highly likely that Jamie's family stopped to rest during their 4.5 hour trip to the campsite in the mountains. As their average speed was 1.78 miles per hour, which is slower than the average walking speed, it is likely that Jamie's family stopped to rest during their trip to the mountain campsite.

Walking 8 miles is not an easy feat, especially in a mountainous area where the terrain can be challenging and the altitude can make it harder to breathe. It is natural to feel fatigued and need to take breaks during such a trip.

camping trips often involve carrying heavy backpacks and other gear, which can make the journey even more strenuous. Jamie's family would likely need to take breaks to catch their breath and rest their muscles along the way. It is also possible that they stopped to enjoy the scenery or have a snack.

Therefore, it is highly probable that Jamie's family stopped to rest during their 4.5 hour trip to the campsite in the mountains. Walking 8 miles in a mountainous area is a challenging task, and breaks are necessary to ensure that the family arrives at the campsite safely and without any injuries or exhaustion.

During their summer break, Jamie's family took a trip to go camping in the mountains. They had to hike 8 miles to reach their campsite, as there were no roads available. The journey took them about 4.5 hours to complete on foot. Based on the given data, it is possible that Jamie's family stopped to rest during the trip.

calculate their speed, divide the distance (8 miles) by the time taken (4.5 hours):

8 miles / 4.5 hours = 1.78 miles per hour.

As their average speed was 1.78 miles per hour, which is slower than the average walking speed, it is likely that Jamie's family stopped to rest during their trip to the mountain campsite.

Learn more about miles here:

brainly.com/question/12665145

#SPJ11

Answer:

15,6....................

Answer:

£15.6

Step-by-step explanation:

78/5=15.6

Answer:

1200 centimeters

Step-by-step explanation:

if you have 100 centimeters in 1 meter and there are 12 meters you can just multiply the number of centimeters by 12 or whatever number is needed in this case 12 so when you multiply 12 x 100 you get 1200

The given ratio of yes votes to no votes is 3:4

Then,

The ratio of yes votes: to no votes = 3:4  

Yes votes = 2721,

Now,

2721/3 = 907

907 × 4 = 3628.

Hence, there were 3628 no votes.

To calculate the ratio, use this formula:

Ratios equate two numbers, usually by dividing them. If you are comparing one data point (x) to any other data point (y), your formula would be x/y. This means you are dividing information x by information y.

For example, if A is 50 and B is 100, your ratio will be 50/100 the ratio will be 1:2.

Learn more about ratios:

brainly.com/question/2328454

#SPJ4

Answer:

y-intercept is (18/5,0)

x-intercept is (0,-2)

Step-by-step explanation:

hope that helps

Answer:

x-intercept: \(\frac{18}{5}\)

y-intercept: -2

Step-by-step explanation:

\(5x-9y=18\)

Step 1: Plugin 0 for x

\(5(0)-9y=18\\-9y=18\\y=-2\)

So, you get the ordered pair (0, -2). Making -2 the y-intercept

Step 2: Plugin 0 for y

\(5x-9(0)=18\\5x=18\\x=\frac{18}{5}\)

So, you get the ordered pair (\(\frac{18}{5}\), 0). Making \(\frac{18}{5}\) the x-intercept

Step-by-step explanation:

Here Is Your Answer........ please Make me as brainliest

Using a system of linear equation, the value of one blackberry pie is $10 and one blueberry pie is $18

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

To solve this problem, we can write two equations which will model the problem and solve both of them.

Let;

6x + 14y = 312 ...eq(i)

12x + 12y = 336 ...eq(ii)

solving for x and y in the system of linear equation;

x = 10, y = 18

The cost of blueberry and blackberry pies are $10 and $18 respectively

Learn more on system of linear equation here;

https://brainly.com/question/13729904

#SPJ1

Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

Answer:

245g of oats

980ml of milk

49g of sugar

Step-by-step explanation:

350÷10=35

1,400÷10=140

70÷10=7

35×7=245

140×7=980

7×7=49

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

The ∠BAC is 58° and ∠CAD is 32° for the given figure.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given,

∠BAD = 90°

Since,

∠BAD =  ∠BAC + ∠CAD

15x - 2 + 7x + 4 = 90°

22x = 88 ⇒ x = 4

So,

∠BAC = 15(4) - 2 = 58°

And

∠CAD = 7(4) + 4 = 32°

Hence "The ∠BAC is 58° and ∠CAD is 32° for the given figure".

For more about the angle,

brainly.com/question/13954458

#SPJ2

The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.

Given data:

Side a = 18

Side c = 27

Angle A = 29 degrees

Step 1: Find angle B using the law of sines:

sin(B)/c = sin(A)/a

sin(B)/27 = sin(29°)/18

sin(B) = (27sin(29°))/18

B = arcsin((27sin(29°))/18)

Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 29° - B

Step 3: Find side b using the law of sines:

sin(C)/c = sin(A)/a

sin(C)/27 = sin(29°)/18

sin(C) = (27 × sin(29°))/18

b = (sin(C) × a)/sin(A)

Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:

B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees

C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees

b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8

Learn more about the triangle at

https://brainly.com/question/2773823

#SPJ4

The question is -

Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th

Given data: side a = 18, side c = 27, angle A = 29 degrees.

The p-value is 0.0057 and at the 5% level of significance, the null hypothesis should A. be rejected.

It should be noted that the p-value is used to validate a hypothesis against the observed data.

In this case, the p-value is 0.0057 and at the 5% level of significance, the null hypothesis should be rejected. This is because there's no enough evidence to conclude that there's a significant difference.

Learn more about p-value on:

https://brainly.com/question/4621112

Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

Answer:

∠ FGH = 125°

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, then

∠ FGH + ∠ GHJ = 180° , that is

∠ FGH  + 55° = 180° ( subtract 55° from both sides )

∠ FGH = 125°

Answer: m∠FGH = 125°

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary (add up to 180°).

From the diagram, we can see that m∠GHJ and m∠FGH are adjacent.

This means that:

m∠GHJ + ∠FGH = 180° where ∠FGH is ∠x and ∠GHJ = 55°

55° + m∠x = 180° (subtract 55 from both sides)

m∠x = 125°

Answer:

W: B: S = 1.5 : 1: 2

Step-by-step explanation:

Water 1.5

Buterr 1

Sugar 1

Flour 2

The a)estimated error in area is 21.352\(cm^2\), b)relative error is 0.0235 and c)percentage error is 2.35%.

Given,

radius of disk, r=17cm

maximum error=0.2cm

a)estimation of maximum error in calculated area,

area of disk,

\(A=\pi\ r^2\)

differentiating on both sides

\(dA=2\pi\ rdr\\\)

here dr = 0.2cm which is error

\(dA=2\pi\(17)(0.2)\\\\\\dA=21.352\ cm^2\)

b)To find relative error use formula,

Relative error=\(\frac{dA}{A}\)

\(=\frac{21.352}{\pi*17^2}\\\\=\frac{21.352}{907.46}\\\\=0.0235\)

c)then percentage error will be

percentage error=0.0235*100=2.35%

Thus, the estimated error in area is 21.352\(cm^2\),relative error is 0.0235 and percentage error is 2.35%.

To learn more about different errors refer here

https://brainly.com/question/15293526

#SPJ4

Answer:

The answer would be x =10

Step-by-step explanation:

Fill in 10

You welcome

The value of x in the figure ABCD is 10.

We know that rhombuses are a particular type of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal.

Since the side lengths of a rhombus are equal, so the lengths of AB and DC are equal.

Now, 3x - 11 = x + 9

i.e. 3x - x = 9 + 11

i.e. 2x = 20

i.e. x = 10

Therefore the value of x in the figure ABCD is 10.

Learn more about rhombus here -

https://brainly.com/question/14393368

#SPJ2

Answer:

same

Step-by-step explanation:

same bro same

Answer:

4

Step-by-step explanation:

To find the remainder when 2^2222 is divided by 7, we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) is congruent to 1 modulo p. In this case, p = 7 and a = 2, so we have:

2^6 is congruent to 1 modulo 7 (by Fermat's Little Theorem)

Dividing 2222 by 6 gives a quotient of 370 with a remainder of 2. Therefore:

2^2222 = (2^6)^370 * 2^2

Since 2^6 is congruent to 1 modulo 7, we can simplify the expression:

2^2222 is congruent to 1^370 * 2^2 modulo 7

2^2222 is congruent to 4 modulo 7

Therefore, the remainder when 2^2222 is divided by 7 is 4.

Teen awareness refers to the level of knowledge, understanding, and consciousness that teenagers have about various issues, including but not limited to social, environmental, health-related, and global concerns.

1) In Colorado, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

2) In Nevada, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

3) The result of changes in teen seat belt use is unclear as you did not provide any specific information or data to analyze.

To know more about Awareness VISIT:

https://brainly.com/question/32640467

#SPJ11

There are 210 ternary strings with exactly seven 0's, five 1's, and four 2's.

To solve this problem, we can use the formula for combinations. The total number of strings is the number of ways we can arrange all 16 digits, which is 16!. However, since there are 7 identical 0's, 5 identical 1's, and 4 identical 2's, we must divide by the number of ways to arrange those identical digits. This gives us:

16! / (7!5!4!) = 51,090,480 / (5,040 * 120) = 210

Therefore, there are 210 ternary strings with exactly seven 0's, five 1's, and four 2's.

For more questions like Ternary strings click the link below:

https://brainly.com/question/29413370

#SPJ11

Answer:

it's the point (3, 2)

Step-by-step explanation:

Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)

Answer:

✔(3, 2)

Step-by-step explanation:

E-2021

The easiest way to solve a system of equations is by using the substitution method.

The substitution method requires you to solve for one variable in one of the equations, substitute the answer into the other equation, and then solve for the remaining variable.

The easiest way to solve a system of equations is to use the substitution method. This method works by substituting one equation into the other to solve for one of the variables. Once the variable is found, it is then substituted back into the other equation to solve for the other variable. For example, if you have two equations: 3x + 2y = 5 and 4x - 2y = 6, you would solve the first equation for y and substitute the answer (y = (5 - 3x)/2) into the second equation. Then, you would solve the second equation for x (x = (6 + 2y)/4). Once you have the values for x and y, you can substitute them into either equation to check your answer.

Learn more about substitution method here:

https://brainly.com/question/30284922

#SPJ4

Answer:

"Spin the spinner 5 times with 4 equal segments. One of the segment represents vanilla on either the spinner as well as three parts reflect certain flavors" would be the right answer.

Step-by-step explanation:

The actual probability of the given scenario will be:

⇒  \((1-\frac{1}{4})^5\)

⇒  \((1-0.25)^5\)

⇒  \((0.75)^5\)

On solving the power, we get

⇒  \((0.237304)\)

Now on multiplying the above value in 100, we get

⇒  \(23.73\)%

Approximately 23.73% chance vanilla was not chosen by either of the five. So that the above is the right answer.

Answer:

Spin a spinner with four equal sections five times. On the spinner, one section represents vanilla and three sections represent other flavors.

Notice that the relation between the first two figures is that the outside figure becomes the inside figure, and the inside figure becomes the outside figure.

Therefore the triangle inside the square corresponds to the square inside the triangle.

Answer: Option A.

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

To learn more about Stock split, visit:

https://brainly.com/question/29754813

#SPJ11

Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.