Answer:
100.26
Step-by-step explanation:
You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.
This is what that would look like:
1. Divide 6 (the diameter) by 2 because 
2. plug into the formula 
3. square the 3
4. multiply 9 by 3.14 (pi)
This means the area of both the semi circles added together would equal 28.26
Then you would use the formula 
to find the area of the rectangle
1. plug in the numbers given
· 
2. solve
Then add the area of the semicircles to the area of the rectangle
to get the area of the entire figure:
The answer is 15/100 x 45 =6.75 minutes <span />
The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.
<h3>What is the solution of the equation?</h3>
The solution of the equation means the value of the unknown or variable.
The equation is given below.
x – 2 = √(2x – 1)
Square on both side, then we have
(x – 2)² = 2x – 1
x² – 4x + 4 = 2x – 1
x² – 6x + 5 = 0
x² – 5x – x + 5 = 0
x(x – 5) – 1(x – 5) = 0
(x – 5)(x – 1) = 0
x = 1, 5
The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.
More about the solution of the equation link is given below.
brainly.com/question/545403
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Answer:
In order to tell if these are congruent triangles we would need to know if angles Y and V were congruent, angles X and W are congruent or if segments XU and WU were congruent.
Step-by-step explanation:
Any of these would work because you can use two different methods to telling that these are congruent triangles.
The first method is called side-angle-side. In it you need two side lengths that are congruent with a congruent angle in the middle. Since we already know that the right angle in the middle is congruent, and we know YU and VU are congruent, we would just need to know the additional side to prove congruence.
The second method is called angle, angle side. In this we need to know that two angles in a row are congruent followed by a side. Since we know the middle angle is the same, knowing either other angles would give us this method as well.
Answer:
The values of 
and 
are 
and 
, respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
(1)
By definition of the perfect square trinomial:
And by direct comparison we have the following system:
(2)
(3)
By (3), we solve for :
The values of and are and , respectively.
