A rectangular field, 360 m of length and 150 m of width, is divided in smaller square-size plots. The area of each of these plots is the biggest possible. What is the length of the side of a square plot?

Answers

Answer 1

Answer:

60

Step-by-step explanation:

Greatest common factor of 360 and 150 is 30

that means one side of square-size plots will be 30 m

our total area is 360x150

area of square-size plot is 30x30

360x150/30x30 = 12x5 = 60


Related Questions

The line passing through points (5,) and (2,−3) is parallel to a line with a slope of 4/3. What is the value of y?

Answers

Answer:

Step-by-step explanation:

Parallel lines have same slope

Slope = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\dfrac{-3-y}{2-5}=\dfrac{4}{3}\\\\\\\dfrac{-3-y}{-3}=\dfrac{4}{3}\\\\\\-3-y=\dfrac{4}{3}*(-3)\\\\\\[/tex]

-3-y = 4*(-1)

-3 - y = -4

- y = - 4 + 3

-y = -1

Divide both sides by (-1)

y = 1

please help me on questions 19-21 using this diagram attached
and no links
and only 19-21

Have a good day!!

Answers

Vas happenin!!

19. TX
20. O and I can’t see the other bottom of the cube
21. WS
Hope this helps *smiles*
Sorry if it’s wrong

100 POINTS! PLEASE ANSWER ONLY IF YOU KNOW
Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.

Answers

Answer:

#4

Area of rectangle:

A = lw = 10*20 = 200 m²

Shaded area:

A = 2πr² = 2π(10/2)² = 157.079 m²

Probability:

P = 157.079/200 ≈ 0.785 or 78.5%#5

Area of bigger circle:

A = πr² = π(20)² = 1256.637 m²

Shaded area:

A = π(10² - 5²) = 235.619 m²

Probability:

P = 235.619/1256.637 ≈ 0.187 or 18.7%

Answer:

4

We know that

Area of rectangle = lb

Area = 10(20)

Area = 200 m²

Shaded region = πr²

=> 2 × 22/7 × (10/2)²

=> 2 × 22/7 × 10/4

=> 157 m²

Probability = 157/200 = 78.5%

5.

Area of the biggest circle = πr²

= 22/7 × (20)²

= 1256.6

Area of shaded region

π(10² - 5²)

π(100 - 25)

3.14(75)

235.6

Probability = 235.6/1256.6 = 18.7%

. Cathy is playing a game with a set of 52 cards. The cards are different
colors and each show a number.
• The probability of randomly selecting a black card is.
• The probability of randomly selecting a red card is.
If Cathy randomly selects a card, what is the probability that her card is
black OR red?

Answers

Answer:

something missing here... is this a regular deck of cards Hearts, spades, clubs , and diamonds ? 1/2 red and 1/2 black ... if so....

then.....

P(black) = .5

P(red) = .5

P(red or black) = 1 (100%)

Step-by-step explanation:

-3 5/9 as a fraction

Answers

Answer:

-22/9

Step-by-step explanation:

If b is the midpoint of ac
Ab = 2x and ac = 5x + 8
Find bc

Answers

Answer:

3x+8

Step-by-step explanation:

2x+bc=5x+8

bc=5x-2x+8

bc=3x+8

Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b.
4^-4

Answers

Answer:

1/256

Step-by-step explanation:

4^-4

~Use negative exponent rule [ a^-b = 1/a^b ]

1/4^4

1/256

Best of Luck!

Solve for W.
4w=5.12

Answers

Answer:

x =1.28

Step-by-step explanation:

4w=5.12

Divide each side by 4

4w/4 = 5.12/4

x =1.28

The answer is w=1.28

-3x cubed equals -81

Answers

Answer:

(-3x)³ = -81x³

so answer wud be -81x cubed

100 POINTS PLS HELP!!!!!!!!!!!
Simplify the expression. 3 + 22 5 7 10 25

Answers

Answer:

25

Step-by-step explanation:

3+22=25

Im guessing this was a joke question but idc answered anyways

Answer:

The answer is 25

Step-by-step explanation:

3 + 22 = 25

The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is

(≧▽≦)( ◜‿◝ )♡​
no spamming symbol​

Answers

Answer:

(a+b+c)(x+y+z)

Step-by-step explanation:

PLEASE HELP MEEE!!!!​

Answers

Answer:

13. 150 degrees

14. 55 degrees

15. 63 degrees

16. 325 degrees

Step-by-step explanation:

A rectangle has a height of 5% and a width of 2 + 2.
Express the area of the entire rectangle.
Expression should be expanded.
2
2
w
5.2

Answers

Answer:

A rectangle has a height of 5 and a width of x² + 2

To find out:

Express the area of the emotive rectangle?

Formula used:

Area of rectangle = Length × Breadth.

Solutions:

Length = 5 and Breadth = x² + 2

We know that:

Area of rectangle = Length × Breadth.

Substitution the value of Length × Breadth.

= 5 × (x² + 2)

= 5x² + 10

Hence, the area of the emotive rectangle is 5x² + 10

Additional informational:

•Monomials: expressions with single terms are called monomials.

• Binomial: expressions with two terms are called binomials.

• Trinomial: expressions with 3 terms is called trinomial.

• Multinational: expression with Tu are mo terms are called Multinational.

RJ trips over his shoe laces every 15 steps. Matthew says "gottem" every 6
seconds. If the boys both start walking down the hall at the same time,
how many seconds will pass before RJ trips & Matthew says "gottem" at
the same time? *

Answers

Answer:

69 seconds, or 1 minute and 9 seconds

Step-by-step explanation:

If l=5 and b=3 ,find the values of L*B

Answers

Answer:

The value of L×B is 15

Step-by-step explanation:

L×B

5×3

15

Answer:15

Step-by-step explanation:

one third of a number plus 6 is 12

Answers

I think it’d be 2? You think about this and see if you agree. 6+6 is 12 and 1/3 of 6 is 2. Therefore I think the answer would be 2

A milk hauler picked up the following amounts of milk from three dairy farmers: 4,638
pounds; 6,209 pounds; and 5,206 pounds. What total weight of milk was in the tanker?

Answers

the total weight of milk was 16653 pounds

√ 9 + √ 2 is it rational?

Answers

Answer:

NO ! IT ISN'T

THANK YOU !!

how many integers are between 4/3 and 26/5

Answers

Answer:

4 integers

Step-by-step explanation:

4/3=1.33 and 26/5=5.2

The integers lying between these two rationals are 2, 3, 4 and 5.

Translate the sentence into an inequality

The Product of c and 6 is at least 27

Answers

Answer:

[tex]6c \geqslant 27 \\ thank \: you[/tex]

Hey there!

The answer is:

[tex]c.6 \: \geqslant 27[/tex]

Hope it help you

NEED HELP WITH THIS ASAP

Answers

Answer:

D

Step-by-step explanation:

f(x) = x^3 + 2x^2 + 4 for x<0

2^x - 4 for x >0

6 + 4w = 2w − 6
Solve for W

Answers

Answer: w= -6

When we subtract 2w from both sides we get 2w on the left and 0 on the right. The equation becomes 6+2w=-6. Then we subtract both sides by 6 making it 2w=-12 and when we divide each side by 2 we get w=-6

Answer:

W=-6

Step-by-step explanation:

6+4w=2w-6

Collect Terms

4w-2w=-6-6

2w=-12

now divide both sides by 2

2w/2=-12/2

w=-6

Use the following function to find r(0) r(x)=-x+1

Answers

Answer:

If r(x) = -x+1

then,

r(0) = -(0) + 1

=1

8a=4(a-9)
Show work I need help

Answers

Answer:

a = -9

Step-by-step explanation:

8a=4(a-9)

Divide each side by 4

8a/4=4(a-9)/4

2a = a-9

Subtract a from each side

2a-a = a-9-a

a = -9

Answer:

-9

Step-by-step explanation:

8a = 4(a-9)

Use the distributive property (Multiply 4 times a, and 4 times -9)

8a = 4a - 36

Bring the 4a to the other side

8a - 4a = -36

Add like terms

4a = -36

Divide both sides by 4 to get a by itself

a = -9

Which numbers are 9 units from −5 on this number line?

Drag and drop the two numbers that are 9 units from −5 to their correct position on the number line.

Answers

Answer:

4 and -14

Step-by-step explanation:

easily compute by -5+9 and -5-9 (9 is 9 units far from -5)

-5+9= 4-5-9= -14

How to write 4.651 in expanded form with decimals?

Answers

Answer:

[tex]0.4651 \times {10}^{1} [/tex]

Solve. x/8 + 2 = 27

Answers

x/8+2=27
Multiply 8 to both sides:
x+16=216
Subtract 16 to both sides:
x=200

find the HCF
eg. first expression = 4a -8
=4(a-2)

Answers

Answer:

Step-by-step explanation:

ab² + 2a²b + a³ = a(b² + 2ab + a²)

Here variable 'a' is common in all the terms. HCF = a

2) 2ab² = 2 * a * b *b

   4a²b = 2 * 2 *a * a * b

6a³        = 2 * 3 * a * a * a

HCF = 2a

2ab² - 4a²b - 6a³ = 2a(b² - 2ab - 3a²)

barbara and jeff ate out for dinner the total came to &15.00. they left a 15% tip how much was the tip and the meal together?

Answers

Answer:

$17.25

Step-by-step explanation:

The tip is 15% of $15.00, or 0.15 * 15 = $2.25

We add that to the meal's cost, which is $15.00

15.00 + 2.25 = 17.25

Select all expressions that are equivalent to x2 - 4x - 32.
(x - 16)(x + 2)
(x + 2)(x - 16)
(x - 8)(x + 4)
(30+8)(x – 4)
(x + 4)(x - 8)
(x – 4)(x + 8)

Answers

Answer:

(x - 8)(x + 4)

(x + 4)(x - 8)

Step-by-step explanation:

(x - 16)(x + 2)

= x2 + 2x - 16x - 32

= x2 - 14x - 32

(x + 2)(x - 16)

= x2 - 16x + 2x - 32

= x2 - 14x - 32

(x - 8)(x + 4)

x - 8)(x + 4) = x2 + 4x - 8x - 32

x - 8)(x + 4) = x2 + 4x - 8x - 32 = x2 - 4x - 32

( 30 + x)(x - 4)

= 30x - 120 + x2 - 4x

= x2 + 26x - 120

(x + 4)(x - 8)

(x + 4)(x - 8) = x2 - 8x + 4x - 32

(x + 4)(x - 8) = x2 - 8x + 4x - 32 = x2 - 4x - 32

(x - 4)(x + 8)

= x2 + 8x - 4x - 32

= x2 + 4x - 32

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