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Harman [31]
2 years ago
12

A circle is drawn within a square as shown.

Mathematics
1 answer:
Vinil7 [7]2 years ago
7 0
<h3>Area of shaded region is 21.5 square centimeter</h3>

<em><u>Solution:</u></em>

The area of the shaded region is equal to the area of the square minus the area of the circle

<em><u> Find the area of the square</u></em>

Area\ of\ square = a^2

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2

<em><u>Find the area of circle </u></em>

The area of the circle is given as:

Area\ of\ circle = \pi r^2

Where, "r" is the radius of circle

Diameter = 10 cm

r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5

Thus,

Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2

<em><u>Find the area of the shaded region</u></em>

Area of shaded Region = Area of Square - Area of Circle

Area of shaded Region = 100 - 78.5 = 21.5

Thus area of shaded region is 21.5 square centimeter

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Like terms and unlike terms
vaieri [72.5K]

Answer:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.

Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz2 and −5xyz2 are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all

5 0
3 years ago
Read 2 more answers
PLEASE HELP!!! 15 POINTS!!
tankabanditka [31]

Answer:

23.4 cm

Step-by-step explanation:

If the base of the triangle is half of that of a given side, then we need to divide the given side by 2 to get the base.

46.8

---------2

23.4

There is your answer

Hope it helped

Bye

7 0
2 years ago
Read 2 more answers
PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1
marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

,

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}

Comparing the given line with the form above:

y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}

The y-intercept of L is at (0,5), therefore:

y-intercept,b=5

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}

The equation of line L is:

y=-3x+5

7 0
11 months ago
Math problem I need help please it will be great if you help btw don't take this question down its is a school question
Maksim231197 [3]
The first question’s answer is the last option. And the range is 104
7 0
2 years ago
A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas
tankabanditka [31]

Answer:

\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

h(0)=-16\cdot 0^2+128 \cdot 0+2=2

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as ax^2+bx+c, it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   \dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{  seconds}}

And the maximum height of the baseball is h(4).

h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
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