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2 years ago

What is the fraction of 12 feet of rope cut into 1/3 pieces?

Mathematics

1 answer:

Fiesta28 [93]2 years ago

4 0

Answer:

1/4 hopefully this helps you with work

You might be interested in

7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?

loris [4]

Answer: a. Radius of circle = $\sqrt{85}$

b. The equation of this circle : $(x-3)^2+(y-10)^2=85$

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = $\sqrt{(12-3)^2+(12-10)^2}$

Radius of circle = $\sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}$

i.e. Radius of circle = $\sqrt{85}$

b. Equation of a circle = $(x-h)^2+(y-k)^2=r^2$ , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= $\sqrt{85}$ , we get

$(x-3)^2+(y-10)^2=(\sqrt{85})^2$

$(x-3)^2+(y-10)^2=85$

∴ The equation of this circle : $(x-3)^2+(y-10)^2=85$

6 0

3 years ago

What is the solution to the system of linear equations shown? picture attached

OLga [1]

Answer: C (0,3) because the two lines meet at the point (0,3)

7 0

2 years ago

Simplify. 1/4 (1 - 2/3)² + 1/3. The answer must be a simplified fraction.

loris [4]

Answer:

$\large\boxed{\dfrac{13}{36}}$

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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$\dfrac{1}{4}\left(1-\dfrac{2}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\left(\dfrac{3}{3}-\dfrac{2}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\left(\dfrac{3-2}{3}\right)^2+\dfrac{1}{3}\\\\=\dfrac{1}{4}\left(\dfrac{1}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\cdot\dfrac{1^2}{3^2}+\dfrac{1}{3}=\dfrac{1}{4}\cdot\dfrac{1}{9}+\dfrac{1}{3}=\dfrac{1}{36}+\dfrac{1}{3}\qquad(*)\\\\\text{the common denominator is}\ 36.\\\\36=3\cdot12\to\dfrac{1}{3}=\dfrac{1\cdot12}{3\cdot12}=\dfrac{12}{36}\\\\(*)\qquad=\dfrac{1}{36}+\dfrac{12}{36}=\dfrac{1+12}{36}=\dfrac{13}{36}$

4 0

2 years ago

4 pounds of tomatoes cost $8. How many pounds of tomatoes can you get with $14?

faust18 [17]

Answer:

7 pounds

Step-by-step explanation:

8 divided by 4 is 2 so $2 per pound

14 divided by 2 is 7 so therefore it would be 7 pounds

I had the wrong answer before sry haha

4 0

3 years ago

If a1 = 7 and an = An-1 – 3 then find the value of a4.

V125BC [204]

Answer:

-2

Step-by-step explanation:

If a1 = 7 and an = An-1 – 3

a4 = a3 - 3

Get a2;

a2 = a1 - 3

a2 = 7 - 3

a2 = 4

Get a3;

a3 = a2 - 3

a3 = 4 - 3

a3 = 1

GEt the required a4

a4 = a3 - 3

a4 = 1 - 3

a4 = -2

Hence the value of a4 is -2

8 0

2 years ago