Answer:
286.97
Step-by-step explanation:
find the area of the rectangle first
14*15=210
Next
Find the area of a circle
πr^2=a
the radius of the circle is half the height of the rectangle
π*(7*7)=a
a=153.94
Now
Divide the area by two
153.94/2=76.97
Now add the two areas
76.97+210
The correct answer is: [D]: " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:
a² + b² = c² ;
in which: "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
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6² + 4² = c² ; Solve for "c" ;
↔ c² = 6² + 4² ;
= (6*6) + (4*4) ;
= 36 + 16 ;
= 52 ;
c² = 52 ;
Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;
√(c²) = √52 ;
c = √52 ;
At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;
The correct answer is: [D]: " 7.2 units" .
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However, let use a calculator:
c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
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Answer choice: [C]: " 7.2 units" .
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X= 7/93 or roughly 0.07526...
Answer:
14
Step-by-step explanation:
is not included as a rational number !
<u>Step-by-step explanation:</u>
Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:
We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !
Here Expressions are:
:
Let's evaluate this expression
⇒ 
⇒ 
Therefore , It is a rational number ! .
:
Let's evaluate this expression
⇒
Therefore , It is a rational number ! .
:
Let's evaluate this expression
⇒ 
⇒ 
Therefore , It is a rational number ! .
- :
Let's evaluate this expression
⇒
⇒ 
Therefore , It is not a rational number , as pi is included ! .
