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Nataliya [291]
3 years ago
8

Need help please on geometry

Mathematics
2 answers:
zimovet [89]3 years ago
4 0
To solve this we are going to use the formula for the area of a circle: A= \frac{1}{4} \pi d^2
where
A is the area of the circle 
d is the diameter of the circle 

We know from our problem that the area of our circle is 10 inches long, so d=10in. Lets replace that value in our formula to find A:
A=\frac{1}{4} \pi (10in)^2
A=78.54in^2

We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
mojhsa [17]3 years ago
4 0
The area of a circle is:

A = pi*r^2

given:
d = 10inches
r = 10/2 inches = 5inches

so the are of the given circle is 

A = pi*5^2 = 25pi in.sq

Convert inches to cm;

25pi in.sq ( 127cm / 50 inches )^2 = 161.29pi cm.sq
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A parallelogram has vertices E(1, 4), F(5, 3), G(−3, 1), and H(1, 0). What are the coordinates of the midpoint of each diagonal?
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Check the picture below.

now, the diagonals cut each other in two equal halves, thus, the midpoint of GF is the same coordinates as the midpoint for EH, so let's check what the midpoint for GF is then

\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
G&({{ -3}}\quad ,&{{ 1}})\quad 
%  (c,d)
F&({{ 5}}\quad ,&{{ 3}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{5-3}{2}~~,~~\cfrac{5-1}{2}  \right)\implies \left( \cfrac{2}{2}~~,~~\cfrac{4}{2} \right)\implies (1,2)

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One number is one more than a second number. Five times the first is 3 less than 6 times the second. Find the numbers.
TiliK225 [7]

The value of the first number is 9 , and

the value of the second number is 8 .

In the question ,

statements about two numbers is given ,

let the first number be x ,

let the second number be y .

According to the first statement " One number is one more than a second number "

translating it into the equation form , we get

x=y+1      ...(i)

According to the second statement which states " Five times the first is 3 less than 6 times the second "

translating it into the equation form , we get

5*x = 6*y - 3

5x = 6y - 3

Substituting the value of x from equation (i) , we get

5(y+1) = 6y - 3

5y + 5 = 6y - 3

6y-5y = 5+3

y = 8 ,

substituting  y=8 in the the equation (i) ,

x = 8 + 1

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hence the first number = 9  and the second number = 8 .

Therefore , the value of the first number is  9, and

the value of the second number is 8 .

Learn more about Equations here

brainly.com/question/24267899

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