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2 years ago

The area of a circle is 80.86cm2. Find the length of the radius rounded to 2 DP.

Mathematics

1 answer:

weeeeeb [17]2 years ago

5 0

Answer:

Solution given:

The area of a circle =80.86cm²

we have:

The area of a circle =πr²

substituting value of area of circle we get

80.86cm=3.14*r²

dividing both side by 3.14

80.86/3.14=3.14*r²/3.14

25.75=r²

doing square root on both side

$\sqrt{25.75}=\sqrt{r²}$

r=5.07cm

The length of radius is 5.07cm

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A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece

Karo-lina-s [1.5K]

Answer: 7 inches

Step-by-step explanation:

If x is the first piece, and the second piece is twice as long, then the second piece is 2x.

If the third piece is three times as long as the first piece, x, then the third piece is 3x.

The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.

42 = x + 2x + 3x

42 = 6x

7 = x

The first piece is 7 inches long.

Learn more about your question here: brainly.com/question/20320071

5 0

1 year ago

the direction angle for vectors 135° the X component of the vector is -3 what is the Ywhat is what what is the Y component of th

blagie [28]

Well, the X component (assuming x is the horizontal) is equal to RCosZ

Where Z is the angle and R is the size of the resultant

Substitute into formula :

X component = RcosZ
-3 = Rcos135°
R = -3/cos135°
R = 4.24264...
R = 4.24 (2dp)

The vertical component (or Y component) is equal to RSinZ

Vertical component = RSinZ
= 4.24264... × Sin135°
= 3

The answer is 3

Please feel free to ask any questions you have

3 0

2 years ago

How do I solve this

sdas [7]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}$

$\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}$

3 0

3 years ago

Cereal A cost. $4.20 for a 14-ounce box and Cereal B costs $3.90 for a 12-ounce box. Which is better?

antiseptic1488 [7]

Cereal A is a better option...Need an explanation?

3 0

3 years ago

Read 2 more answers

Please help me literally need this to be answered in 2 hours P-L-E-A-S-E !!

Sonja [21]

Answer:

Yeah with that type of problem

Step-by-step explanation:

You aint getting answered for the next 4 hours <3

6 0

2 years ago