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Lyrx [107]
3 years ago
10

What is the approximate area of a circle with a diameter of 56 cm? Use your calculator button for π. Round your answer FOUR deci

mal places. _________cm2
Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

The answer to your question is 2463.0086 cm²

Step-by-step explanation:

Data

Area = x

Diameter = 56 cm

π

Formula

A = πr²

Process

1.- Find the radius

radius = diameter/2

radius = 56/2

radius = 28 cm

2.- Find the area

Area = π (28)²

Area = 784π

Area rounded to four places = 2463.0086 cm²

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The sum of 1/3 and twice a number is equal to 2/3 subtracted from three the number.find the number
Zigmanuir [339]
The number = y

2y + 1/3 = 2/3 - 3y
(add 3y to both sides)
5y + 1/3 = 2/3
(subtract 1/3 from both sides to isolate y)
5y = 1/3
(divide by 5)
y = 1/15
4 0
4 years ago
What is the decimal multiplier for 5%? ​
timama [110]

Answer:

0,05

Step-by-step explanation:

5\% \\  \\  =  \frac{5}{100}  = 5 \div 100 \\  \\  ={ \boxed{ \bold{ 0,05}}}

4 0
3 years ago
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Solve sin x - (3sin x-1) = 0
soldi70 [24.7K]

Answer:

\large\boxed{x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}}

Step-by-step explanation:

\sin x-(3\sin x-1)=0\\\\\sin x-3\sin x+1=0\qquad\text{subtract 1 from both sides}\\\\-2\sin x=-1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}

\text{Equation:}\\\\\sin x=a\\\\\text{has solutions}\\\\x=\theta+2k\pi\ \vee\ x=(\pi-\theta)+2k\pi\\\\\text{Why}\ 2k\pi?\\\text{Because the sine function has a period of}\ 2\pi.

\text{look at the table}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\pi-\dfrac{\pi}{6}=\dfrac{5\pi}{6}

\text{Other solution:}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\sin^{-1}\dfrac{1}{2}\\\\x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi

3 0
3 years ago
What is the solution set for this inequality?
olasank [31]

Step-by-step explanation:

  • -9x+18<-27
  • -9x+18-18<-27-18
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6 0
3 years ago
Solve the system algebraically<br> x+3y=11<br> 4x-4y=7
ololo11 [35]

Answer:

x = 65/16,   y = 37/16

Step-by-step explanation:

solve the system algebraically

x+3y=11

4x-4y=7

Try substitution.

let  x =  11 - 3y

Plug in.

4(11 - 3y) - 4y = 7

44 - 12y - 4y = 7

44 - 16y = 7

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x = 11 - 3*y

x = 11 - 3*(37/16)

x = 11 -  111/16

x = 65/16

6 0
3 years ago
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