the length of a diagonal of a square field is 220 m find the length of a side in metres and the area of the field in hectares​

Answers

Answer 1
Given area of square field =0.25 hectare
1 hectare =10,000m =0.25×10,000 =0.25×100 =2500 sq. m
Let side of square be 'a'
Area of square =a 2 a 2 =2500 ⇒a=50m
Diagonal of square = 2 a= 2 ×50=50 2 ​ m.
Answer 2

Answer:

155.56m

0.242 hectares

Step-by-step explanation:

[tex]L=\frac{220}{\sqrt{2} } =155.56m[/tex]

[tex]A=\frac{155.56^{2}}{10^{5} } =0.242[/tex]


Related Questions

There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?

Answers

Answer:

10 carrots

Step-by-step explanation:

So we have 6:8 which is 3:4, meaning that something needs to be changed

Solve for x assuming that we have 6 cabbages

1/3=6/x

x=18

Now we have 6:18, which is 1:3 simplified

There are already 8 carrots so subtract 8

18-8=10

Yesterday, Carmen had b baseball cards. Today, she gave 12 away. Using , write an expression for the number of cards Carmen has left.

Answers

hi,

So carmen has b baseball cards and she gives 12 away.= b-12

So let the cards left be x

So the expression is b-12=x.

hope it helps... :-)

Areceli is a chef for a catering company. The guests at a banquet had a choice of entrées: chicken or lasagna.

Areceli prepared three times as many chicken dinners as lasagna dinners, and there were 96 guests. How many chicken dinners were served?

Answers

Answer:

93x6=anser

Step-by-step explanation:

Answer:

72 Chicken Dinners and 24 Lasagna Dinners

Step-by-step explanation:

Since you know that chicken dinners are 3 times as much as lasagna, you know that you must divide 96 by 4. Why? Well we aren't just looking at the chicken dinners itself. IF we were, then we would divide 96 by 3. But in this situation, you have to divide by both the lasagna and the chicken. Adding the parts together, you get 1 and 3, or 4. So, dividing 96 by 4 you get 24. You now know that the amount of lasagna dinners is 24. Chicken dinners are 3 times as much meaning 24 x 3 = 72 chicken dinners.

Algebraic expression ish (x = lasagna dinners):

96 = 3x + x

96 = 4x   (divide both sides by 4 now)

24 = x

If I have 1/4 of a tank of gas what fraction represents the amount required to fill my tank
the rest of the way?

Answers

3/4 is required to fill up to fill ur tank

Answer:

1=1 whole full tank

4/4= 1

1/4 = the tank

4/4-1/4= 3/4

The amount required would be 3/4

Is landing on a number less then 10 on a 6 sided dice impossible?

Answers

Answer:yes

Step-by-step explanation:

if you have two dice one dice can land on a 4 and 6

Company paid out $60,000 in dividends. How will this be recorded in journal?

Answers

Answer: The answer is a debit to dividends and a credit to cash

Step-by-step explanation: just believe me lol

52,75,90,48,90 whats the range of these scores

Answers

Answer:

42

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is

90−48=42

Find the measure of each angle of the triangle HIJ. There will be three answers. (Hint: find the value of x first.)

Answers

= 3x - 2 + 3x - 9 + 4x - 9 = 180 ( Angle sum property )= 3x + 3x + 4x - 2 - 9 - 9 = 180 = 10x - 20 = 180 = 10x = 180 + 20 = 10x = 200= x = 200 / 10 = x = 20therefore the angle's are,58, 51, 71.HOPE IT HELPS !!!

Xy^3
What is the coefficient?

Answers

xy is the coefficient

Help pls quick it’s due today!!!!:((ISHOW WORK IF NEEDED

Answers

Answer:

The independent variable is b. The dependent variable is p. The equation that represents the relationship between the variable is b = 6p.

Step-by-step explanation:

If you read it carefully, it says that b is equal to 6 times p. Since p is time with 6 it is dependent and b is independent. Hope this helps, thank you :) !!

Please help me! "Which equation models this situation?" 24 more than a number is 31."

Answers

Answer:

x+24 = 31

Step-by-step explanation:

More than means addition

Let x be the number

x+24

is means equals

x+24 = 31

Hey! Do you mind helping me? ​

Answers

60 / 2 = 30 so that’s greater than ; 7 x 4 = 28 so that’s equal

Answer:

20 - x^2 + y = 28

y+9x > 28

60 / y > 28

Step-by-step explanation:

Answer all & show work! WILL MARK BRAINLIEST!
(Vertex Form to Standard Form)

[tex]y = (x+\frac{1}{2} )^{2} -2[/tex]
[tex]y = 18(x-\frac{1}{2} )^{2} +5[/tex]
[tex]y = -2(x + \frac{1}{2} )^{2}[/tex]
[tex]y = 12(x-2)^{2} + 15[/tex]
[tex]y = 2(x+8)^{2} +10[/tex]

Answers

Answer:

Step-by-step explanation:

1 12

2 19

3 10

4 28

5 2

what number is 22 more than another. Their product is -121. Find the numbers by solving the equation​

Answers

Answer:

what is the answers

Step-by-step explanation:

10 is 60% of what number

Answers

Answer:

16.7

Step-by-step explanation:

10 = 60% of x

10 = 0.6x

0.6x = 10

x = 10/0.6

x = 16.666...

Answer: 16.7

Population data from three towns is displayed in the tables below. Which town has grown that follows an exponential model?

Answers

Answer:

Step-by-step explanation:

there is no tables

Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.

Answers

Answer:

$3283.2

Step-by-step explanation:

Given data

Principal= $2700

Rate= 4%

Time= 5 years

Required

the final Amount A

The compound interest formula is

A=P(1+r)^t

Substitute

A=2700(1+0.04)^5

A=2700(1.04)^5

A=2700*1.216

A=$3283.2

Hence the balance in the account after 5 years is $3283.2

If you feed your puppy 8 ounces of dog food twice a day how many pounds of food do you feed in one day

Answers

Answer:

u add 8+8 or 8x2 and you get 16 onces then convert that to pounds and you get 1 pounds bc 16 onces = a pound

step-by-step explanation:

brainliest?

add the complex numbers: (4 + 8j) + (-2 - j)​

Answers

Answer:

7j+2 or 2+7j

Step-by-step explanation:

(4+8j)+(−2−j)

Subtract 2 from 4 to get 2.

2+8j−j

Combine 8j and −j to get 7j.

2+7j

Help due today ‼️‼️‼️‼️‼️

Answers

Answer:

SA = LA + 2B

Step-by-step explanation:

find the area of bases, 2(.5*6*8)=48

find area of rectangles (LA) , (17*8)+(17*8)+(17*10)

Add everything for SA

Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored

Answers

Given:

Some boxes are fully colored.

Each fully colored ten block represents 1 whole.

The number of colored boxes will be divided into 11 equal part.

To find:

The number of squares need to be colored on each of the 10 blocks.

Step-by-step explanation:

From the given figure, it is clear that,

Number of colored box = 55

The number of colored box will be divided into 11.

[tex]\dfrac{55}{11}=5[/tex]

Therefore, 5 squares need to be colored on each of the 10 blocks.

A builder places a 2.9m ladder on horizontal ground, resting against a vertical wall. to be safe to use, the base of this ladder must be 1.3m away from the wall. how far up the wall does the ladder reach? GIve ur answer to 1 decimal place

Answers

The answer is in the photo

The length up the wall does the ladder reach is 2.59 meter

What is Pythagorean theorem?

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

What is Right triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

Given,

Length of the ladder = 2.9 meter

Distance from base to wall = 1.3 meter

Draw the figure using the given data

Apply Pythagorean theorem

[tex]AB^{2}+BC^{2}= AC^{2}\\ AB^{2}=AC^{2}-AC^{2} \\ AB^{2}=2.9^{2}-1.3^{2}\\ AB^{2}=6.72\\ AB=\sqrt{6.72}[/tex]

AB=2.59 meter

Hence, the length up the wall does the ladder reach is 2.59 meter

Learn more about Pythagorean theorem and Right triangle here

https://brainly.com/question/13095504

#SPJ2

Faith wants to use the formula C(f) = 5\9(f - 32) to convert degrees Fahrenheit, f, to degrees Celsius, C(f). If Faith calculated C (68), what would her result be?

the 5\9 is not division its a fraction 5 over 9

Answers

Answer: 20

Step-by-step explanation: c(68) = 5/9 (68-32)


Use the half-angle formulas to find the exact value of the trigonometric function sin 15°

Answers

Answer:

sin 15° = 0.2588

Step-by-step explanation:

The half angle formula is:

[tex]\sin{(\frac{x}{2})} = \pm \sqrt{\frac{1 - \cos{x}}{2}}[/tex]

sin 15°

The double of 15º is 30º. First quadrant, so the sine is positive.

[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}}[/tex]

Since [tex]\cos{30} = 0.866[/tex]

[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}} = \sqrt{\frac{1 - 0.866}{2}} = 0.2588[/tex]

sin 15° = 0.2588

What is 0.574 rounded to the nearest hundredth?

Answers

Answer:

B .57

Step-by-step explanation:

hundredths place is the second decimal place. And because the thousandths place is less than 5, you round down.

Yolanda needs $300 to buy a TV for her room. She has already
saved $50. She earns $ 10 an hour at her job. Set up and solve an
equation to find how many hours she needs to work to buy the TV.
(Use X +
to set up the equation.)

Answers

Answer:

she will have to work 25 hours

Step-by-step explanation:    

$10 per 1 hour she has $50

$300-$50=$250

10 x 25 =250

Mohan is a farmer. He has a rectangular field of length 65m and width15m.

He digs a circular flower bed of radius of 7m at the field( π=22/7 ).

a) Find the area of the flower bed.


plese answer fast


b) Find the area of the remaining portion of the field.

c) Find the cost of levelling the remaining field at the rate of ₹5 per sq m.

Answers

Answer:

(a) [tex]Area = 154m^2[/tex]

(b) [tex]Remaining\ portion = 821m^2[/tex]

(c) [tex]Cost = 4105[/tex]

Step-by-step explanation:

Solving (a): The area of the flower bed

Given

[tex]r = 7m[/tex]

[tex]\pi = 22/7[/tex]

The area is:

[tex]Area = \pi r^2[/tex]

[tex]Area = 22/7 * 7^2[/tex]

[tex]Area = 154m^2[/tex]

Solving (b): The area of the remaining portion

Given

[tex]Length= 65m[/tex]

[tex]Width = 15m[/tex]

First, we calculate the field area

[tex]Area = Length * Width[/tex]

[tex]Area = 65m * 15m[/tex]

[tex]Area = 975m^2[/tex]

Subtract the area of the flower pot from the filed area to get the area of the remaining portion

[tex]Remaining\ portion = 975m^2-154m^2[/tex]

[tex]Remaining\ portion = 821m^2[/tex]

Solving (c): The cost of leveling the remaining field

Given

Rate = 5 per square meter

In (b) above, the area is 821m^2

So, the cost will be:

[tex]Cost = 821 * 5[/tex]

[tex]Cost = 4105[/tex]

Can you pls help me hurry thank you

Answers

Answer:

C = 188.4 cm

General Formulas and Concepts:

Math

π (pi) - 3.14159265

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Circumference Formula: C = 2πr

C is circumferencer is radius

Step-by-step explanation:

Step 1: Define

Radius r = 30 cm

Step 2: Solve for C

Substitute in r [Circumference Formula]:                                                      C = 2π(30 cm)[Circumference] Multiply:                                                                               C = 60π cm[Circumference] Multiply:                                                                               C = 188.4 cm

Math help! Answer pls?

Answers

Answer:

22 degrees

Step-by-step explanation:

Just do arccos(0.9272) on your calculator or just do 90 minus 68.

HELPPPPPPP PLEASEEEE I AM SO DESPERATE

Answers

Answer:

Select A, C, D, and F

Step-by-step explanation:

B is not multiplication

C is correct

D is shorter form, correct

F is correct

Plz mark as brainliest if correct! Have a nice day!!!

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