Find the area of the trapezoids

Answer:

To get maximum area, the dimensions will be;

l = 200 and b = 100

Step-by-step explanation:

Given the data in the question;

No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.

now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x

as shown in the image below;

so,

Area of rectangle = (400 - 2x) × x = 400x - 2x²

now, to maximize area 'A', we will make A' = 0

⇒ 400 - 2(2x) = 0

400 = 4x

x = 400/4 = 100

so

⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200

∴ Maximum area = ( 400 - 2x) × x

= 200 × 100

= 20000 m²

∴ To get maximum area, the dimensions will be;

l = 200 and b = 100

Answer:

6

Step-by-step explanation:

We use BODMAS/BIDMAS here.

First, we do 5 × 2, as multiplication comes before subtracting and adding.

5 × 2 = 10

Now we can just add and subtract.

5 - 10 = -5

-5 + 11 = 6

Answer:

alam ko ang tamat mali ngonit akot sabogna

Answer:

a.. 8% of ? = 20    240

b.75% of ? = 30    40

c. 20% of ? = 45   225

d. 150% of ? = 36  24

The steps of  answer is in attached file

Hope it helps..

Have a great day : )

Answer:

Yes, all four-sided figures are parallelogram.

Answer:

1/28

Step-by-step explanation:

The probability that a male student picks green is 5 / 17

The randomly selected participant is a male which means that you should be looking at the probability that a male picks green not that a student picks green.

The probability that a male picks green is:

= Number of males who prefer green / Number of males in total

There are 17 males in total and 5 of them prefer green. Probability that a male picks green is:

= 5 / 17

In conclusion, the probability that a male picks green is 5 / 17.

Find out more at https://brainly.com/question/14682217.

Answer:

Equation: 3x-5=10

Answer: X=5

Step-by-step explanation:

3 times a number (represented as X) and 5 (means subtract by 5)

3x-5=10

Add 5 on both sides

3x=15

X=5

Answer:

3(5) - 5 = 10  

15 - 5 = 10  

10 = 10 x = 5

Step-by-step explanation:

Three times a number is 3x because you do not know the number.  

Add five to both sides of the equation.  

Divide both sides of the equation by 3 and the solution is x = 5

Answer:

xa^2

Step-by-step explanation:

I thought about it for a bit and came up with this:

if you expand a^(b+2) it becomes a^b * a^2

so replace a^b with x.

xa^2

Answer:

Step-by-step explanation:

C = 90° (right angle)

A = 27°

3 angles are added to result in 180° (property of triangle)

Therefore B =

180 - (90 + 27) =

180 - 117 =

63°

E = 90° (right angle)

D = 31°

3 angles are added to result in 180° (property of triangle)

Therefore F =

180 - (90 + 31) =

180 - 121 =

59°

____________________

#IndonesianPride - kexcvi

Answer:

B= 63

F= 59

Step-by-step explanation:

a+ b+ c= 180

27+b+ 90=180

117+b=180

180-117=b

B= 63

D+E+F=180

31+ 90+ F=189

121 +F=180

180-121= F

F= 59

Answer:

Just Plus the 2 Given and Minus in the 360 Because 360 It has a Fourside The Answer is 168degrees

Answer:

Rounded to the nearest cubic unit, the tank can hold 8,139 cubic meters of water.

Step-by-step explanation:

Given that a water storage tank has a cylindrical shape, and the base has a diameter of 18 m and the tank is 32 m high, to determine how much water can the tank hold, the following calculation must be performed, knowing that the volume of a cylinder is obtained by multiplying the number pi by the radius squared of the cylinder, and this result by its height:

V = Pi x (radius x radius) x height

Radius = 1/2 diameter = 9

V = 3.14 x (9 x 9) x 32

V = 3.14 x 81 x 32

V = 254.34 x 32

V = 8,138.88

Thus, rounded to the nearest cubic unit, the tank can hold 8,139 cubic meters of water.

9514 1404 393

Answer:

  sin(∅) = -√65/65

Step-by-step explanation:

The identities that relate the cotangent, the cosecant, and the sine are ...

  csc² = 1 +cot²

  sin = 1/csc

_____

For the given values, we find ...

  csc(∅)² = 1 +cot(∅)² = 1 +8² = 65

  csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign

  sin(∅) = -1/√65 = (-√65)/65

Answer:

i think its a trick question

Step-by-step explanation:

theres no way theres a righr answer the 20$ on is always ahead

Answer:

yes

Step-by-step explanation:

Sugar and water amounts used change proportionately.

Answer:

hello your question is poorly written attached below is the complete question

answer

a)  ( 1.9802 , 1.9998 )

b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.

c)  A single value of 2.02 is not unusual

d)   (1.9602, 1.9798)

Step-by-step explanation:

A) set up 95% confidence interval estimate

std = 0.05 liter

average ( mean ) X = 1.99 liters

n = 100

95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )

                                         = 1.99 ± 1.96 ( 0.05 / √100 )

                                         = ( 1.9802 , 1.9998 )

B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X  is required instead

C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )

D) when the sample average ( X )  = 1.97

confidence interval =  X ± [tex]Z_{95%}[/tex] ( std / √n )

                                = 1.97 ± 1.96 ( 0.05 / √100 )

                                =  (1.9602, 1.9798)

There are four sub-parts in the question, whose answers are mentioned below:

Given information:

Mean of sample = [tex]\overline{x}[/tex] =1.99

Standard deviation of population= [tex]\sigma[/tex] = 0.05

Size of sample = n = 100

Part a: Setting 95% confidence interval

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]

Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.

Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.

Part d: If sample average be 1.97, then CI will be as follows:

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]

Learn more here:

https://brainly.com/question/2396419

Answer:

9

Step-by-step explanation:

Answer:

The correct answer is 5.

Step-by-step explanation:

Answer:

Constant

Step-by-step explanation:

there numbers with no variables next to them and coefficient's do. :)

Answer:

constant

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

5(a - b) =

= 5(-4 - (-2))

= 5(-4 + 2)

= 5(-2)

= -10

Answer:

Where are the dimensions?

Answer:

1) Jackson Heights population = 100,000

2) Elmhurst population = 64,000

Step-by-step explanation:

1) 80,000 x 1.25 = 100,000

2) 80,000/1.25 = 64,000

Answer:

AMEN

Step-by-step explanation:

.

Answer:

It will look like this

Step-by-step explanation:

The equation of line y = 4 / 5x + 8 / 5 can be represented on the basis of coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph attached below.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

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.

Given:

-4x + 5y = 8

Write the line in slope intercept form as shown below,

5y = 4x + 8

y = 4 / 5x + 8 / 5

Put the random values of x and find y,

y = 4 / 5 × 0 + 8 / 5   (when x = 0)

y = 8 / 5

y = 4 / 5 × 1 + 8 / 5  (When x = 1)

y = 12 / 5

y = 4 / 5 × 10 + 8 / 5  (When x = 10)

y = 48 / 5

Plot the coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph and mark the points, joining all the points to get the line.

To know more about equation:

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#SPJ2

Answer:

3

Step-by-step explanation:

15 - 12 = 3

12 + 3 = 15

15 - 3 = 12