Consider quadrilateral ABCD shown.

Consider Quadrilateral ABCD Shown.

Answers

Answer 1

Answer:

a=(2,8) b=(8,8)

c=(8,2) d=(2,2)

Step-by-step explanation:

Answer 2

Answer:

this quadrilateral would be a square because all of the sides are equal.


Related Questions

Compare the values of the following numbers, using the symbols > (greater than), < (less than), and = (equal to).
0.5 _____0.500

Answers

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Heeeelp please, Can be zero or not?
with all steps and explanay.​

Heeeelp please, Can be zero or not? with all steps and explanay.

Answers

The value of integral is 3.

Let's evaluate the integral over the positive half of the interval:

∫[0 to π] (cos(x) / √(4 + 3sin(x))) dx

Let u = 4 + 3sin(x), then du = 3cos(x) dx.

Substituting these expressions into the integral, we have:

∫[0 to π] (cos(x) / sqrt(4 + 3sin(x))) dx = ∫[0 to π] (1 / (3√u)) du

Using the power rule of integration, the integral becomes:

∫[0 to π] (1 / (3√u)) du = (2/3) . 2√u ∣[0 to π]

Evaluating the definite integral at the limits of integration:

(2/3)2√u ∣[0 to π] = (2/3) 2(√(4 + 3sin(π)) - √(4 + 3sin(0)))

(2/3) x 2(√(4) - √(4)) = (2/3) x 2(2 - 2) = (2/3) x 2(0) = 0

So, the value of integral is

= 3-0

= 3

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Answer:

\(3-\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3 \sin x}}\; \text{d}x\approx 0.806\; \sf (3\;d.p.)\)

Step-by-step explanation:

First, compute the indefinite integral:

\(\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x\)

To evaluate the indefinite integral, use the method of substitution.

\(\textsf{Let} \;\;u = 4 + 3 \sin x\)

Find du/dx and rewrite it so that dx is on its own:

\(\dfrac{\text{d}u}{\text{d}x}=3 \cos x \implies \text{d}x=\dfrac{1}{3 \cos x}\; \text{d}u\)

Rewrite the original integral in terms of u and du, and evaluate:

\(\begin{aligned}\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=\int \dfrac{\cos x}{\sqrt{u}}\cdot \dfrac{1}{3 \cos x}\; \text{d}u\\\\&=\int \dfrac{1}{3\sqrt{u}}\; \text{d}u\\\\&=\int\dfrac{1}{3}u^{-\frac{1}{2}}\; \text{d}u\\\\&=\dfrac{1}{-\frac{1}{2}+1} \cdot \dfrac{1}{3}u^{-\frac{1}{2}+1}+C\\\\&=\dfrac{2}{3}\sqrt{u}+C\end{aligned}\)

Substitute back u = 4 + 3 sin x:

                            \(= \dfrac{2}{3}\sqrt{4+3\sin x}+C\)

Therefore:

\(\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x= \dfrac{2}{3}\sqrt{4+3\sin x}+C\)

To evaluate the definite integral, we must first determine any intervals within the given interval -π ≤ x ≤ π where the curve lies below the x-axis. This is because when we integrate a function that lies below the x-axis, it will give a negative area value.

Find the x-intercepts by setting the function to zero and solving for x in the given interval -π ≤ x ≤ π.

\(\begin{aligned}\dfrac{\cos x}{\sqrt{4+3\sin x}}&=0\\\\\cos x&=0\\\\x&=\arccos0\\\\\implies x&=-\dfrac{\pi }{2}, \dfrac{\pi }{2}\end{aligned}\)

Therefore, the curve of the function is:

Below the x-axis between -π and -π/2.Above the x-axis between -π/2 and π/2.Below the x-axis between π/2 and π.

So to calculate the total area, we need to calculate the positive and negative areas separately and then add them together, remembering that if you integrate a function to find an area that lies below the x-axis, it will give a negative value.

Integrate the function between -π and -π/2.

As the area is below the x-axis, we need to negate the integral so that the resulting area is positive:

\(\begin{aligned}A_1=-\displaystyle \int^{-\frac{\pi}{2}}_{-\pi} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=- \left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{-\frac{\pi}{2}}_{-\pi}\\\\&=-\dfrac{2}{3}\sqrt{4+3 \sin \left(-\frac{\pi}{2}\right)}+\dfrac{2}{3}\sqrt{4+3 \sin \left(-\pi\right)}\\\\&=-\dfrac{2}{3}\sqrt{4+3 (-1)}+\dfrac{2}{3}\sqrt{4+3 (0)}\\\\&=-\dfrac{2}{3}+\dfrac{4}{3}\\\\&=\dfrac{2}{3}\end{aligned}\)

Integrate the function between -π/2 and π/2:

\(\begin{aligned}A_2=\displaystyle \int^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&= \left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\&=\dfrac{2}{3}\sqrt{4+3 \sin \left(\frac{\pi}{2}\right)}-\dfrac{2}{3}\sqrt{4+3 \sin \left(-\frac{\pi}{2}\right)}\\\\&=\dfrac{2}{3}\sqrt{4+3 (1)}-\dfrac{2}{3}\sqrt{4+3 (-1)}\\\\&=\dfrac{2\sqrt{7}}{3}-\dfrac{2}{3}\\\\&=\dfrac{2\sqrt{7}-2}{3}\end{aligned}\)

Integrate the function between π/2 and π.

As the area is below the x-axis, we need to negate the integral so that the resulting area is positive:

\(\begin{aligned}A_3=-\displaystyle \int^{\pi}_{\frac{\pi}{2}} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&= -\left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{\pi}_{\frac{\pi}{2}}\\\\&=-\dfrac{2}{3}\sqrt{4+3 \sin \left(\pi\right)}+\dfrac{2}{3}\sqrt{4+3 \sin \left(\frac{\pi}{2}\right)}\\\\&=-\dfrac{2}{3}\sqrt{4+3 (0)}+\dfrac{2}{3}\sqrt{4+3 (1)}\\\\&=-\dfrac{4}{3}+\dfrac{2\sqrt{7}}{3}\\\\&=\dfrac{2\sqrt{7}-4}{3}\end{aligned}\)

To evaluate the definite integral, sum A₁, A₂ and A₃:

\(\begin{aligned}\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=\dfrac{2}{3}+\dfrac{2\sqrt{7}-2}{3}+\dfrac{2\sqrt{7}-4}{3}\\\\&=\dfrac{2+2\sqrt{7}-2+2\sqrt{7}-4}{3}\\\\&=\dfrac{4\sqrt{7}-4}{3}\\\\ &\approx2.194\; \sf (3\;d.p.)\end{aligned}\)

Now we have evaluated the definite integral, we can subtract it from 3 to evaluate the given expression:

\(\begin{aligned}3-\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3 \sin x}}\; \text{d}x&=3-\dfrac{4\sqrt{7}-4}{3}\\\\&=\dfrac{9}{3}-\dfrac{4\sqrt{7}-4}{3}\\\\&=\dfrac{9-(4\sqrt{7}-4)}{3}\\\\&=\dfrac{13-4\sqrt{7}}{3}\\\\&\approx 0.806\; \sf (3\;d.p.)\end{aligned}\)

Therefore, the given expression cannot be zero.

Heeeelp please, Can be zero or not? with all steps and explanay.

The quantity y varies directly with the square of x. If y=24 when x=3, find y when x is 4

Answers

Answer:

\(y = \frac{384}{9}\)

Step-by-step explanation:

Given

\(y\ \alpha\ x^2\) --- direct variation

\((x,y) = (3,24)\)

Required

y when x = 4

\(y\ \alpha\ x^2\)

Express as an equation

\(y = kx^2\)

Substitute: \((x,y) = (3,24)\)

\(24 = k*3^2\)

\(24 = k*9\)

Solve for k

\(k = \frac{24}{9}\)

To solve for y when x = 4, we have:

\(y = kx^2\)

\(y = \frac{24}{9} * 4^2\)

\(y = \frac{24}{9} * 16\)

\(y = \frac{24 * 16}{9}\)

\(y = \frac{384}{9}\)

A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)

Answers

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.

Answers

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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PLEASE HELP
The table of values represents an exponential function.

What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO

PLEASE HELPThe table of values represents an exponential function.What is the y-coordinate of -3f(x-1)

Answers

The y-coordinate of -3f(x-1) when x = 0 is -63

What is the y-coordinate of -3f(x-1) when x = 0

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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What is the area of a rectangle with a length of Four and two-fourths meters and a width of Seven and five-sixths meters?

Answers

Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

if a=5, b=-2 and c=3 find the value of abc​

Answers

Answer:

-30

Step-by-step explanation:

the order of multiplication doesn't matter

a*b*c = 5*-2*3 = -30

1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?

1. Brady had 432 Legos. Owen hasthree times as many. How many Legosdoes Owen have?Howmany dothey have

Answers

Total legos = Brady’s legos + Owen’s legos. Brady has 432 legos and Owen has three times that amount. This means Owen has 432 X 3 legos: this will give you the answer that Owen has 1296 legos. To find the number of legos they have all together, use the equation in the beginning (Brady’s legos + owens legos). 432 + 1296 = 1728(the total number of legos they have altogether)
They have 1296 legos all together

A contact center provides incentives based on the number of sales achieved by its
representatives. Ross made 27 sales in 3 days. His colleague, Mona secured 49 sales in
one week. Who achieved a higher sales target per day?

HELP and please explain your thinking

Answers

Answer:

3 xhcni k ibohfpnconcfufuk

Which number sentence is true?
§ > }
Done →

Which number sentence is true? &gt; }Done

Answers

The 3rd one that says 2/3 < 6/5

A water tower 30 m tall is located at the top of a hill. From a distance of D = 125 m down the hill, it is observed that the angle formed between the top and base of the tower is 8°. Find the angle of inclination of the hill. Round your answer to the nearest tenth degree.

Answers

Answer:

the angle of inclination of the hill is 46.56°

Step-by-step explanation:

  Given the data in the question;

Just as illustrated in the diagram below

so to find the angle of inclination of the hill;

sinA/30 = sinB/125

since angle BAC  is 8°

we substitute

sin8°/30 = sinB/125

sinB = ( sin8°/30 ) × 125

B = sin⁻¹ ( ( sin8°/30 ) × 125 )

B = sin⁻¹ ( 0.004639 × 125 )

B =  35.44°

so since the some of a the angles of a triangle is 180;

A + B + C = 180

8° + 35.44° + C = 180

C = 180 - ( 8° + 35.44° )

C = 136.56°  

Hence, Angle of inclination x will be;

x = 136.56° - 90°

x = 46.56°

Therefore, the angle of inclination of the hill is 46.56°

A water tower 30 m tall is located at the top of a hill. From a distance of D = 125 m down the hill,

assuming equal population standard deviations for the two groups, give a 95% confidence interval for the

Answers

Answer: Give more info pls

Step-by-step explanation:

solve for h h and 26 is −52

Answers

Answer:

If you mean h multiplied by 26 is -52 then h is -2

If it is added to 26 then h is -78

If it is subtracted then h is -26

Step-by-step explanation:

Convert 0.45 to a percent. Remember to add the percent sign.
0.45%
4.5%
45%
50%

Answers

45% is the answer to this question

Answer:

45%

Step-by-step explanation:

a patient is advised to supplement her diet with 3g of calcium per day. The calcium tablets she purchases 300mg per tablet. How many tablets should the patient take per day?​

Answers

Answer:

Number of tablet needed = 1 tablet

Step-by-step explanation:

Given:

Amount of calcium per day needed = 3 gram

Amount of calcium in a tablet = 300 mg

Find:

Number of tablet needed

Computation:

Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet

Number of tablet needed = 3gram / 300 milligram

Number of tablet needed = 300 milligram / 300 milligram

Number of tablet needed = 1 tablet

Plot the points on your graph paper to answer the question.

Are the paired points in a proportional relationship?



Drag and drop the correct answer into the box.

The paired points Response area in a proportional relationship.



x 0 1 2 3 4
y 0 3 6 9 12

Plot the points on your graph paper to answer the question.Are the paired points in a proportional relationship?Drag

Answers

Answer:

The answer is "are".

Step-by-step explanation:

I know this because i just took the quiz nd got a 100% so if you need anymore help you can ask me!

if lin has already run 19.6 miles of the marathon how many miles does she have left

Answers

Answer:

6.6 miles she has to run

Step-by-step explanation:

the marathon actual race distance is 26.2 now that Lin has already ran 19.6 miles so now we should subtract this two decimal numbers so that were get 6.6


There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

Answers

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

What is the sum?

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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31 is what percent of 37?

Answers

Answer:   The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.

whats the whole number of 222+2022+2202+2220​

Answers

Answer:

6666

Step-by-step explanation:

222+2022+2202+2220=6666

The answer would be 6,666 -_-

Colin pays £766.45 a year on his car insurance.
The insurance company increases the price by 5.4%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.

Answers

766.45x(1+5.4%)
=766.45x(1+0.054)
=766.45x1.054
= 807.8383
=807.84

Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8.
-
Use matrices to solve the equation and determine the cost of a t-shirt and the cost of a notebook. Show or explain all necessary:

Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event.

Answers

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

How to solve the simultaneous equation using matrices

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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What is the solution to 4 x + 6 less-than-or-equal-to 18?

Answers

im pretty sure its x less-than-or-equal-to 3

Answer:

a

Step-by-step explanation:

edge 2020-2021 <3333

(have an amazing day lovely)

cost of a sweater is 3395 markup is 70% what is the original price

Answers

Since we have that 3395 represent the 70% of the total, we now want to know how much the 100% is, for that we do as follows:

First we multiply the total ammount we are given ($3395) times the percentage we want to know (100%) and divide by the percentage we are given (70%):

\(x=\frac{3395\cdot100}{60}\Rightarrow x=4850\)

x represents the original cost.

Originally since we have:

\(70->3395\text{ \& 100 }->x\)

Now we need to solve for x, and since we have that when 70 represents 3395, then, how much does 100 represent?

For that we multiply the percentage we want to know (100%) times the total ammount we are given ($3395) and divide by the percentage we are given that represents the total ammount (70%):

\(x=\frac{100\cdot3395}{70}=>x=4850\)

The basics go more or less like this:

If "a" represents "b", then "c" represents "d", is called "The rule of three", and with it you know that with 3 values you can infer the fourth on, as long as they are related in some way.

In the case of your problem, an ammount of money is represented by a percenage, and there is another percentage that is going to represent another ammount of money that we don't know. So we use this relationship to determine the ammount of money that the given percentage is representing.

\(a->b\text{ \& c}-d\)

Now if we have a, b & c, we can calculate d:

\(d=\frac{c\cdot b}{a}\)

And in the same fashion, as long as we have another set of 3 values we can determine the value of the fourth.

Use an induction proof to prove this statement:
For n≥1, 4^n+5 is divisible by 3.

Answers

Answer:

See below

Step-by-step explanation:

We shall prove that for all \(n\in\mathbb{N},3|(4^n+5)\). This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let \(n=1\), then we have \(4^{1}+5=9\), and evidently, \(9|3\).

Assume that \(4^n+5\) is divisible by \(3\) for \(n=k, k\in\mathbb{N}\). Then, by this assumption, \(3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}\).

Now, let \(n=k+1\). Then:

\(4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)\)

Since \(3|(4^k+m)\), we may conclude, by the axiom of induction, that the property holds for all \(n\in\mathbb{N}\).

What is 8 x 7/8 in a fraction ​

Answers

Answer:

7/8 x 8 = 56/8 as simplified as 7/1 in fraction form.

Step-by-step explanation:

Hope it helps :)

Question
The Portland Trail Blazers won 41 games in the by the end of the 2017 season and 49 games by the end of the 201
season. Calculate the absolute and relative change in number of games won from the 2017 season to the 2018 se
Round your answer for relative change to the nearest hundredth of a percent.
Do not round until your final answer.
Provide your answer below:
Absolute Changes
Relative Change - %,

Answers

Answer: The absolute change in the number of games won from the 2017 season to the 2018 season is 49 - 41 = 8 games.

To calculate the relative change in the number of games won, we can use the formula:

Relative Change = ((New Value - Old Value) / Old Value) * 100

Plugging in the given values:

Relative Change = ((49 - 41) / 41) * 100 = (8 / 41) * 100 = 19.51 %

Round up to the nearest hundredth of a percent, The relative change is 19.51%.

So the absolute change in number of games won from the 2017 season to the 2018 season is 8 and relative change is 19.51%

Step-by-step explanation:

A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answers

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Andy buys a rectangular rug that is 92 centimeters long and 80 centimeters wide. What is the area of the rug?

Answers

Answer:

7360² cm.

Step-by-step explanation:

area=length(width)

Other Questions
If you were a seismologist,what could you do in order to improve on how we can predict an earthquake? CUNTOS SEGUNDOS TIENE PARA SACAR UN PORTERO? What is the common difference between the elements of the arithmetic sequence below? 1. 18, 22. 2. 5, 27, 31. 3. 5, 36. If million people are insured, then the price elasticity of demand for health insurance is? Which of the following about futures contracts is not true? They are standardized lots with standard expiration dates There is major counterparty risk They require margin Both buyers and sellers have an obligation All of these are true Isabella has been transferred to an office overseas. She is going to need to learn about this new culture and new business customs. This is an example of what challenge/opportunity that faces organizations today At 1 atm, how much energy is required to heat 59.0 g H2O(s) at 22.0 C to H2O(g) at 141.0 C? STRATEGY: Calculate the energy needed for each temperature change or phase change individually. a. The energy needed to heat 59.0 g H2O(s) from 22.0 C to its melting point. b. The energy needed to melt 59.0 g H2O(s) at its melting point. c. The energy needed to heat 59.0 g H2O(l) from the melting point to the boiling point. d. The energy needed to boil 59.0 g H2O(l) at its boiling point. e. The energy needed to heat 59.0 g H2O(g) from the boiling point to 141.0 C. Sum the energies from each step and convert to kilojoules. Step 1. a. Going from 22.0 C to the melting point of H2O (0 C) is a temperature change of 22.0 C. How much energy is needed to heat 59.0 g H2O(s) by 22.0 C if its specific heat is 2.087 J/(g C)? Please Help! I started to write a book would anyone like to read it? and what are some things I should know about writing a book? I'll message you the link to the book :). it would mean the world if someone reads it. Write the simple present negative in the following sentencesI play the game very well.She writes a lesson.She has a pen.They go to school. Which point on the graph represents the y-intercept? Phenylketonuria is an inherited disease that results from the lack of the enzyme phenylalanine hydroxylase (PAH), which catalyzes Quadratic Function QuestionYou are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is overspeeding.In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast-moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain.You will prepare an observation report highlighting whether it is necessary to come up with more stringent implementation of traffic rules based on the outcome of your analysis of the problem that you encountered on the road. Find the height h of the solid. B = 30 ft2 Volume = 35 ft3 what is the hight? Make analysis of at least 5 problems of your company and describe how with the help of marketing this problems were sold. problem-1? problem-2? a good place to learn about ancient civilization is Pls hurry 98 points!!!! Cron plants may be tall (TT or Tt) or short (tt). The breeding of two parent corn plants results in offspring that are all tall. What is the probability that both of the parents in this example are homologous recessive. A movie theater sold tickets to dramas andcomedies in the ratio of 5:7. If the theater sold atotal of 288 drama and comedy tickets, howmany more comedy tickets did it sell than dramatickets? Which of the following ideas did the author develop the LEAST in this article about the U.S. Postal Service? Compare and contrast Shakespeare's perspective to those of Machiavelli, Confucius, and Tzu in 2-3 paragraphs. Be sure to include applicable quotations to support your answer. Remember, every quotation needs a sentence to explain why you put it in your response.