the shape of a piece is pallelogram whose adjacent side are 12m and 9 m and the corresponding diagonal is 15 .find the area of land​

Answers

Answer 1

Answer: The area of land =108 m²

Step-by-step explanation:

In the given piece of land is in the shape of a parallelogram.

Diagonals divide it into 2 equal parts.

So, area of parallelogram = 2 x (Area of triangle with sides 12m and 9 m and  15 m)

Heron's formula :

Area of triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]s=\dfrac{a+b+c}{2}[/tex]

Let a= 12 , b= 9 and c = 15

[tex]s=\dfrac{12+9+15}{2}=18[/tex]

Area of triangle = [tex]\sqrt{18(18-12)(18-9)(18-15)}[/tex]

[tex]=\sqrt{18\times6\times9\times3}=\sqrt{2916}=54\ m^2[/tex]

Then, area of parallelogram= 2 x 54 = 108 m²

Hence, the area of land =108 m²

The Shape Of A Piece Is Pallelogram Whose Adjacent Side Are 12m And 9 M And The Corresponding Diagonal

Related Questions

look at the picture find the value of z

Answers

Answer:

Z=7.9

Step-by-step explanation:

20.4 + 20.4 = 40.8  

56.6 - 40.8 = 15.8

15.8/2 = 7.9

Answer:

z=7.9 cm

Step-by-step explanation:

So, what we have to do is gather all the information we already have. The length of the rectangle is 20.4 cm, and the perimeter is 56.6. To find the perimeter, you always add all the sides up. So 20.4+20.4 is 40.8. since 4+4 is 8, and 20+20 is 40. Then, you subtract that from the perimeter to get what is 2z(both sides). 56.6-40.8 is 15.8. So we know 2z is 15.8. To find z, we divide 15.8 by 2 which is 7.9. You can do this with a calculator or write it down.

z=7.9 cm

Tickets for a concert were $5 for each child and $8 for each adult. At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult

Answers

What do you want answered ? I don’t see a question .

Just answer question 3,4 and 5 only.. There will have a diagram because the question base on that. One thing, just show the working.

Answers

Answer:

Step-by-step explanation:

Atachment in 1 minute.

Question is the attached file.

Answers

Answer:

The critical points are 12 and 0.

Step-by-step explanation:

We have that the critical numbers are those values that result from equating the derivative of a function to zero. Also called roots or zeros of the derived function.

IF f is defined in x, it will be said that a is a critical number of f if f '(x) = 0 or if f is not defined in x.

Now the function is:

f (x) = x ^ 2 / (x -6)

we have that the derivative of the quotient is:

(f / g) '= (f' * g - g '* f) / g ^ 2

we replace and we have:

f (x) = [2 * x * (x-6) - 1 * x ^ 2] / (x -6) ^ 2

simplifying we have:

f (x) = [x ^ 2 - 12 * x] / (x -6) ^ 2

this must be equal to 0, like this:

 [x ^ 2 - 12 * x] / (x -6) ^ 2 = 0

we solve:

x ^ 2 - 12 * x = 0

x * (x - 12) = 0

Thus:

x = 0

x - 12 = 0 => x = 12

The critical points are 12 and 0.

A bucket holds, at most, 30 golf balls. How many buckets are needed to hold 96 golf balls?

Answers

Answer: 4

Step-by-step explanation:

Answer:

4 buckets

Step-by-step explanation:

number of buckets needed = 96 / 30

= 3.2

Since 3.2 is not a whole number (buckets cannot be split into small portions), and each bucket can only hold 30 golf balls, 4 buckets are needed to hold all golf balls.

Or else, if there is only 3 buckets, only 30x3 = 90 balls can be held, meaning there are 6 left.

Use the table to find the products of the polynomial

pls help i’m having so much trouble with this and i don’t understand

(x^2 + x - 2)(4x^2 - 8x)

Answers

Answer:

Step-by-step explanation:

Hello,

The table is as below

[tex]\begin{array}{c|c|c|c} &2&1&-2\\4&\boxed{4}&\boxed{4}&\boxed{-8}\\-8&\boxed{-8}&\boxed{-8}&\boxed{16}\\\ 0&\boxed{0}&\boxed{0}&\boxed{0} \end{array}[/tex]

It gives

[tex]4x^4+(4-8)x^3-(8+8)x^2+16x=4x^4-4x^3-16x^2+16x[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

A container has 250 liters of water in it. Some water evaporated and then the container had only 175 liters in it. What percentage of water evaporated?

Answers

Answer:

Hey there!

A total of 250-175, or 75 liters of water evaporated.

75/250=0.3, or 30%

30% of water evaporated.

Hope this helps :)

Hey there! I'm happy to help!

First, let's find out how much water evaporated. We have 175 left of the 250 after evaporation, so we need to subtract 175 from 250 to see how much water evaporated.

250-175=75

75 liters evaporated. Now, we want to find this as a percent out of 250. 75 is what percent of 250? Well, when talking about percents, the word "is" means "equals". So, we can turn this into an equation! We will use x to represent our percent as a decimal.

75= x·250

We simply divide both sides by 250 to isolate the x, giving us x=0.3

0.3 is 30% as a percent, so this means that 30% of the water evaporated.

I hope that this helps! Have a wonderful day!

On your own sheet of paper, make a stem-and-leaf plot of the following set of data and then find the range of the data.

Answers

Answer:

Step-by-step explanation:

The given set of data is 83, 71, 62, 86, 90, 95, 61, 60, 87, 72, 95, 74, 82, 54, 99, 62, 78, 76, 84, 92.

Now the stem - leaf plot will be,

5  4

6  0   1   2   2

7   1   2  4   6    8

8 2   3  4   6    7

9  0   2  5   5   9

Since range of the data = Highest term of the data - Lowest term of the data

                                       = 99 - 54

                                       = 45

Therefore, range of the data set is 45.

The range of the data is 45.

The calculation is as follows:

As we know that

Since range of the data = Highest term of the data - Lowest term of the data

= 99 - 54

= 45

Learn more: https://brainly.com/question/10046743?referrer=searchResults

Find the ordered pairs.

{Y=(x+1)^2-5
{Y=2x

PLEASE HELP!!!

Answers

Answer:

[tex]\large \boxed{\sf \bf \ \ \text{The solutions are }(2,4) \text{ and } (-2,-4) \ \ }[/tex]

Step-by-step explanation:

Hello, this is the same kind of question that you have already posted( brainly.com/question/17141820).

I would suggest that you check my previous answer and try to apply the same logic here. When you try it if you have any question please let me know. It will be the more efficient way for you to learn how to solve it by yourself.

As I have already provided details for the previous question I will be more succinct here.

Again we can write y = y and then we have to solve the following.

[tex](x+1)^2-5=2x\\\\x^2+2x+1^2-5-2x=0\\\\x^2-4=x^2-2^2=(x-2)(x+2)=0\\\\x=2 \ \ or \ \ x=-2[/tex]

The solutions are (2,4) and (-2,-4)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

If sinθ= 4/5 in quadrant II, what is cosθ?

Answers

Answer:

cos theta = -3/5

Step-by-step explanation:

Answer:  [tex]cos\theta=-\dfrac{3}{5}[/tex]

Step-by-step explanation:

[tex]sin\theta = \dfrac{y}{r}=\dfrac{4}{5}[/tex]

Step 1:  Use Pythagorean Theorem: x² + y² = r²  to find the x-value

x² + 4² = 5²

x² + 16 = 25

      x² = 9

       x = 3

Step 2: Use the Quadrant to determine the sign of the x-value

                 Quadrant II                          Quadrant I

                     (--, +)                                     (+, +)

                 Quadrant III                          Quadrant IV

                     (--, --)                                     (+, --)

x is negative in Quadrant II

[tex]cos\theta=\dfrac{x}{r}=\large\boxed{-\dfrac{3}{5}}[/tex]

R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} which is a domain

Answers

Answer:

Domain { -3, -1 ,1}

Step-by-step explanation:

The domain is the input values

We write them in order from smallest to largest with out repeating any numbers

Domain { -3, -1 ,1}

A population of values has a normal distribution with μ = 47.2 and σ = 22.8 . You intend to draw a random sample of size n = 176 . Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 45.1.

Answers

Answer:

22.8

Step-by-step explanation:

Consider the two functions given below. f(x)= -3x+5 g(x)= f(x)+9 What is the y-intercept of g? A. (0,9) B. (0,4) C. (0,14) D. (0,-5)

Answers

Answer:

C. (0, 14)

Step-by-step explanation:

g(x) = f(x) + 9

g(x) = -3x + 5 + 9

g(x) = -3x + 14

y = mx + b

b = 14

The value of y - intercept of the function are,

⇒ (0, 14)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

the two functions given below.

⇒ f(x) = -3x+5

And, g(x) = f(x)+9

Hence, We get;

g(x) = f(x) + 9

g(x) = -3x + 5 + 9

g(x) = -3x + 14

So, The value of y - intercept of the function are,

⇒ y = 14

⇒ (0, 14)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

A car is new at the beginning of a calendar year. The time, in years, before the car experiences its first failure is exponentially distributed with mean 2.Calculate the probability that the car experiences

Answers

Complete question is;

A car is new at the beginning of a calendar year. The time, in years, before the car experiences its first failure is exponentially distributed with mean 2. Calculate the probability that the car experiences its first failure in the last quarter of some calendar year.

Answer:

Probability = 0.2052

Step-by-step explanation:

I've attached the explanation to this answer.

A jar contains only pennies, nickels, and dimes. The number of dimes is one more than the number of nickles, and the number of pennies is six more than the number of nickels. How many of each denomination are in the jar, if the total value is $4.80?

Answers

Answer:

Nickels=29

Dime=30

Pennies=35

Step-by-step explanation:

Nickels=$0.05

Dime=$0.10

Pennies=$0.01

Total value=$4.80

Let quantity of

Pennies=p

Nickels=n

Dimes=d

d=n+1

p=n+6

0.01 *[n + 6] + 0.05n + 0.10*[n+1] =4.80

Open parenthesis

0.01n+0.06+0.05n+0.10n+0.10=4.80

0.16n+0.16=4.80

0.16n=4.80-016

0.16n=4.64

n=29

Pennies=n+6

=29+6

=35

Dime=n+1

=29+1

=30

Use the cubic model y = 10x3 − 12x to find the value of y when x = 9.

Answers

Answer:

7182

Step-by-step explanation:

All you shoud do is to replace x by 9

● y = 10 * 9^3 -12*9

● y = 7182

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a
$7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to
keep the delivery fee plus the cost of the pizzas under $60.
Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.
Let P represent the number of pizzas that Jacque buys.
1) Which inequality describes this scenario?
Choose 1 answer:
7.50 +14P < 60
B
7.50+ 14P > 60
14 + 7.50P < 60
D
14+ 7.50P > 60

Answers

Answer: A.    7.50 +14P < 60

Step-by-step explanation:

Let P represent the number of pizzas that Jacque buys.

Given, delivery fee =$7.50

Per pizza cost = $14

She wants to buy as many pizzas as she can, and she also needs to

keep the delivery fee plus the cost of the pizzas under $60.

i.e.  (delivery fee) + (Number of pizzas) x (Per pizza cost) < $60

i.e. 7.50 +14P<60

Required inequality :  7.50 +14P<60

Answer:

A.    7.50 +14P < 60  Answer: Jacque can only afford 24 slices of pizza

Step-by-step explanation:

3x - 17 = 46 . solve for x

Answers

Answer:

[tex]x = 21[/tex]

Step-by-step explanation:

We can simplify this equation down until we have x isolated.

[tex]3x - 17 = 46[/tex]

If we add 17 to both sides:

[tex]3x = 63[/tex]

Now we can divide both sides by 3:

[tex]x = 21[/tex]

So [tex]x = 21[/tex].

Hope this helped!

Answer:
x= 21

Explaination:
3x - 17 = 46
3x = 46 + 17
3x = 63
3x/3 = 63/3
x = 21

do side lengths 8,7 and 15 create a triangle ?

Answers

Answer:

Yes

Step-by-step explanation:

To make a triangle the 2 smaller sides must join together to become greater than or equal to the biggest side.

8+7=15

Therefore,

side lengths 8, 7, and 15 do create a triangle.

Hope this helps

Answer:

No, this can cannot create a triangle because to create a triangle you need two sides greater than one of the side and since 8+7=15 and 15 cannot be equal to 15 and it had to be more than 15 or so.

Possible ways to create triangle

a+b>c

a+c>b

b+c>a

Step-by-step explanation:

Drew likes to take the long way to school each morning. He walks 3 blocks west and then 3 blocks north to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 310 feet, how many feet will he travel if he goes directly to school? Round to the nearest tenth of a foot.

Answers

Answer:

Distance travel by Drew = 1,315.21 feet (Approx)

Step-by-step explanation:

Given:

Total block in north = 3

Total block in west = 3

1 block = 310 feet

Find:

Distance travel by Drew

Computation:

Total distance in north = 3 × 310 = 930 feet

Total distance in west = 3 × 310 = 930 feet

Distance travel by Drew = √Total distance in north² + Total distance in west²

Distance travel by Drew = √930² + 930²

Distance travel by Drew = √864,900 + 864,900

Distance travel by Drew = √1,729,800

Distance travel by Drew = 1,315.21 feet (Approx)

Help me with this I’m confused

Answers

ok                                                         its 11 sqrt 6                                    

because if sqrt 6 is x, and 5x +6x=11x

so its 11 sqrt 6              

please solve the volume of the triangular prism

Answers

Answer:

V = 225 cm²

Step-by-step explanation:

The volume of a prism is the product of the base's area and the height

the base of this prism is triangular

the area of a triangle is given by the formula :

A = [tex]\frac{b*h}{2}[/tex]  

b is the base(6cm) and h the height (5cm)

A = [tex]\frac{5*6}{2}[/tex] A = 15 cm²

So the volume is

V = 15*A V = 15*15 V = 225 cm²

Answer:

225 cm³

Step-by-step explanation:

Area of cross-section × length = Volume of a triangular prism

Area of cross-section is the area of the triangle section.

Area of cross section:

5 × 6 × 0.5

30 × 0.5

= 15

Calculate volume:

15 × length

15 × 15

= 225

find the hypo when the opposite is 36 and the adjacent is 27​

Answers

Answer:

45

Step-by-step explanation:

Given the legs of the right triangle.

Then using Pythagoras' identity

The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )

h = [tex]\sqrt{2025}[/tex] = 45

Answer:

45

Step-by-step explanation:

When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!

The formula is a^2 + b^2= c^2

Plugging in the values, your formula would now look like 36^2 + 27^2= c^2

Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y + 1 = 0?

4 x + y + 6 = 0
4 x + y - 6 = 0
4 x - y - 6 = 0

Answers

Answer:

The answer is

4x + y - 6 = 0

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

4x + y + 1 = 0

y = - 4x - 1

Comparing with the above formula

Slope / m = - 4

Since the lines are parallel their slope are also the same

That's

Slope of the parallel line is also - 4

Equation of the line using point ( 1 , 2) is

y - 2 = -4(x - 1)

y - 2 = - 4x + 4

4x + y - 2 - 4

We have the final answer as

4x + y - 6 = 0

Hope this helps you

Im stuck!! Help needed please, ill mark the right anwser as brainliest

Answers

Answer:

C and D

Step-by-step explanation:

A box plot display consist of a five-number summary. The five-number summary includes the following five values that is depicted in the box plot display:

1. Min value: the least value or smallest value indicated at the end of the whiskers to our left.

2. Max value: the largest value in the data set indicated at the end of the whisker to our right.

3. The median: this is a measure of center indicated by the vertical line that divides the rectangular box into 2.

4. The Upper quartile (Q3): this is indicated by at the end of the rectangular box at our far right.

5. The lower quartile (Q1): this is indicated at the beginning of the rectangular box from our left.

The interquartile range is the difference between the Q3 and the Q1, which can be used as a measure of spread of a data set.

Therefore, the most appropriate measures of center and spread for the data set above, are the median and the interquartile range respectively.

The correct choices are option C and D.

The owner of a health food store is developing a new product that consists of peanuts and raisins. Raisins cost \$2.50$2.50dollar sign, 2, point, 50 per pound and peanuts cost \$3.50$3.50dollar sign, 3, point, 50 per pound. The owner wants to create 202020 pounds of the product that cost \$3.03$3.03dollar sign, 3, point, 03 per pound. Which of the following systems of equations can be used to determine the number of pounds of peanuts, ppp, and the number of pounds of raisins, rrr, that should be combined?

Answers

Answer:

9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product

Step-by-step explanation:

The cost of raisins is $2.5 per pound and the cost of peanut per pound is $3.50.

Let r represent the number of raisin pound and p represent the number of peanut pound. Since 20 pounds of a new product that consists of peanuts and raisins need to be produced, it can be represented by the equation:

p + r = 20             (1)

The new product would cost $3.03, therefore:

3.5p + 2.5r = 3.03(20)

3.5p + 2.5r = 60.6          (2)

We have to solve equation (1) and (2) simultaneously. First multiply (1) by 2.5 to get 2.5p + 2.5r = 50. Subtract  2.5p + 2.5r = 50 from equation (2):

p = 10.6 pound

Put p = 10.6 in equation (1)

10.6 + r = 20

r = 20 - 10.6 = 9.4

r = 9.4 pound

9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product

Answer:

p + r = 20

[tex]\frac{3.50p+2.50r}{20}[/tex] = 3.03

Step-by-step explanation:

The total cost of the product when the peanuts and raisins are combined is:

3.50p + 2.50r

To obtain the per pound cost, this expression needs to be divided by the number of total pounds, 20.

[tex]\frac{3.50p+2.50r}{20} =3.03[/tex]

**KA's explanation**

1.) Which movie had the Lower Q3 as shown in the box plot?

Movie A

Movie B

Both about the same


Answers

Answer: Movie A

Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.

In this figure, and are parallel. is perpendicular to line segment . If the length of is a units, then the length of is units.

Answers

Answer:

is perpendicular to line segment  

GH

. If the length of  is a units, then the length of  is  

a

units.

Step-by-step explanation:

had to do it myself.

Answer:

Blank 1-
GH


Blank 2-
a

AB is perpendicular to line segment GH. If the length of EF is a units, then the length of GH is a units.

Step-by-step explanation:

I got it correct

I need help for this problem!

-9(x + 6) = 18 ​

Answers

Factor -9(x+6)

-9x - 54 = 18
+54 +54

-9x = 72
/-9x /-9x

The answer would be x = -8

Answer:

x = -8

Step-by-step explanation:

1. Divide both sides of the equation by -9 to get (x+6) = -2

2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8

Hope this helps

Plz help urgently i dont know how to do it

Answers

Answer:

11

Step-by-step explanation:

1650/15/10 = 11

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