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Vikentia [17]
3 years ago
8

Type the correct answer in the box. Assume that pi=3.14 and round to the nearest hundredth.

Mathematics
2 answers:
Virty [35]3 years ago
7 0
<h2>Answer:</h2>

The area of shape is: 48.38 square centimeters

<h2>Step-by-step explanation:</h2>

The area of the shape is the area of the square minus the sum of the area of four half semicircles.

We know that four half semicircles will be equal to one circle.

Hence, the area of shape is:

Area of square-Area of circle.

We know that the area of a square with side length s is calculated by:

\text{Area\ of\ square}=s^2

Also, the area of a circle with radius r is calculated by using the formula:

\text{Area\ of\ circle}\pi r^2

Here the side length of the square i.e. s=15 cm.

and the radius of the circle i.e. r=15/2 cm

Hence,

\text{Area\ of\ square}=(15)^2

i.e.

\text{Area\ of\ square}=225\ cm^2

and

\text{Area\ of\ circle}=3.14\times (\dfrac{15}{2})^2

i.e.

\text{Area\ of\ circle}=176.625\ cm^2

Hence, The area of shape is:

\text{Area\ of\ shape}=225-176.625

i.e.

\text{Area\ of\ shape}=48.375\ cm^2

ikadub [295]3 years ago
4 0
White area = \[\frac{15^2\pi}{4}\] Shaded area = \[15^2-\frac{15^2\pi}{4}\]
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Consider 8x2 - 48x = -104.
ki77a [65]

Answer:

3+ 2\mathbf{i}

3- 2\mathbf{i}

Step-by-step explanation:

<u>Quadratic Equation Solving</u>

We have the equation:

8x^2-48x=-104

Divide by 8:

x^2-6x=-13

Now complete the squares so the left side is a perfect square of a binomial:

x^2-6x+9=-13+9=-4

Factoring the perfect square:

(x-3)^2=-4

Taking the square root:

x-3=\sqrt{-4}

The square root of a negative number is an imaginary number:

x-3=\pm 2\mathbf{i}

Solving for x:

x=3\pm 2\mathbf{i}

The solutions are:

3+ 2\mathbf{i}

3- 2\mathbf{i}

7 0
2 years ago
PLS PLS HELP FIND THE VOLUME!!! PLS PLS I GIVE U ALL MY POINTS
ICE Princess25 [194]

Answer:

1232

Step-by-step explanation:

Step 1: 8x14 to find the base

Step 2: Base times Height

Good Luck! And have a great day!

5 0
3 years ago
Read 2 more answers
Which is a factor of 54xy+45x+18y+15?<br> a) x-5<br> b)6y+5<br> c)6y+1<br> d)3y+5 ...?
tia_tia [17]
If you will simplify this expression you will get this (9x + 3)(6y + 5)
and the factor, which is <span>b)6y+5. </span>
4 0
3 years ago
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Solve for x.<br> 2x² +21x-61 = (x+7)²<br><br> Please
Ymorist [56]

Answer:

x = \frac{-7 +\sqrt{489} }{2}

x = \frac{-7 - \sqrt{489} }{2}

Step-by-step explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

x² + 7x - 12 = 0

use quadratic formula

x = \frac{-b +- \sqrt{b^{2}-4ac } }{2a}

plug in the values

x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}

solve

x = \frac{-7 +- \sqrt{49-4(1)(-110) } }{2}

x = \frac{-7 +- \sqrt{49 + 440 } }{2}

x = \frac{-7 +- \sqrt{489} }{2}

7 0
2 years ago
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I seef(x)  between 0 to 1 is goes to xfinity but in the negative direction
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