Answer: 
Step-by-step explanation:
<h3>
The exercise is: " Evaluate 
when 
and 
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Given the following expression:
You can follow these steps in order to evaluate it:
1. Substitute and into the expression provided in the exercise:
2. Solve the multiplications. Remember that:
Then:
3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:
4. Solve the addition:
Since the number 21 has a denominator 1, the Least Common Denominator is:
Then, the sum is:
Answer: 164.53%
Step-by-step explanation:
105.3/64=1.6453125
1.6453125*100=164.53125
<u>164.53</u>125=164.53%
Notice the answer is greater than 100 percent. This is because 105.3 is greater than 64, meaning that 105.3 is greater than 100% of 64, so 105.3 will have a greater percent value.
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
Answer:
well, all you need to do is 8 x 3.14 so then you shall get your answer!
Step-by-step explanation:
Answer:
(x-2)2+(y-5)2=92
or
(x-2)2+(y-5)2=81
Step-by-step explanation: Center:(2,5)
The center of a circle is a point from which all points on a circle are the same distance.
Radius:9
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
Diameter:18
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter) = 2*π*R = 2*3.14*9 = 56.5486677646163
The circumference of a circle is the distance around it.
Area:254.469004940773
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.
The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x-2)2+(y-5)2=92
(x-2)2+(y-5)2=81
The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x-2)2+(y-5)2=92
(x-2)2+(y-5)2=81
x2-4x+4+y2-10y+25=81
x2+y2-4x-10y-52=0
