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2 years ago

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Mathematics

1 answer:

lesya692 [45]2 years ago

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The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.

Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: $A=\pi r^2$ where r is the radius

Plug in the area 43.25 cm²

$43.25=\pi r^2$

Divide both sides by π to isolate r²

$\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2$

Take the square root of both sides to isolate r

$\sqrt{\frac{43.25}{\pi}} =r\\3.71=r$

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

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2 years ago

What is the quotient?

Ivenika [448]

Answer:

436x

Step-by-step explanation:

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2 years ago

Maggie is building bird houses for all of her friends. she has 77.5 feet of wood planks. She makes 5 bird houses and has 12 feet

sladkih [1.3K]

Answer:

13.1 FEET OF WOOD FOR EACH HOUSE

Step-by-step explanation:

77.5-12=65.6

65.5/5= 13.1

hope this helps

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2 years ago

A large cube is made up of many small cubes. The volume of the large cube is 7.506×10^5mm^3. The volume of each small cube is 2.

irakobra [83]

Answer:

27 small cubes

Step-by-step explanation:

Given that,

The volume of the large cube is $7.506\times 10^5\ mm^2$

The volume of small cube is $2.78\times 10^4\ mm^2$

We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :

$n=\dfrac{7.506\times 10^5}{2.78\times 10^4}\\\\n=27$

So, there are 27 small cubes that make up of the large cube.

8 0

2 years ago

Point P lies on the line with the equation y-4=3(x-2). If the x-coordinate of P is 4, what is the y-coordinate of P

maw [93]

Let's start by tidying up that equation and put it into slope-intercept form (y = mx + b); from there, we can plug in coordinates.

$y - 4 = 3(x-2)$

Let's use the distributive property on the right side:
$y - 4= 3x - 6$

Now add 4 to both sides
$(y - 4) + 4 = (3x - 6) + 4$

Which simplifies to:
$y = 3x - 2$

Since that's the equation of our line, now we can plug in coordinates and see what it churns out.

We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:

$y = 3(4) - 2$
$y = 12 - 2$
$y = 10$

So the y-coordinate for point P = 10

6 0

2 years ago