Answer:
4
Step-by-step explanation:
The left side of the equation can be factored as the difference of squares:
(a -b)(a +b) = 105
The right side of the equation can be factored to 4 different pairs of factors:
105 = 1·105 = 3·35 = 5·21 = 7·15
For each of the factor pairs, we can match factors to get, for example, ...
a -b = 1
a +b = 105
The solution to this is a = (105 +1)/2 = 53, b = (105 -1)/2 = 52. Thus, we have ...
(a, b) = (53, 52)
For the other factor pairs, the solutions are ...
(a, b) = (19, 16), (13, 8), (11, 4)
There are a total of 4 positive integer solutions.
As regards if Triangles TUV and WXY are similar B. Yes, because there are two pairs of congruent corresponding angles.
<h3>Why are Triangles TUV and WXY similar?</h3>
Triangles TUV and WXY are can be said to be similar if they both have congruent corresponding angles.
Triangle TUV has an angle of 55° which is also found in Triangle WXY. The triangles are therefore similar thanks to these congruent corresponding angles.
Find out more on corresponding angles at brainly.com/question/2938476.
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Answer: x=20
Step-by-step explanation:
63-x=2x+3
-x-2x+63=3
-x-2x=3-63
-3x=3-63
-3x=-60
-3x/3=-60/3
X=20
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Answer:
1055.04 cm³
Step-by-step explanation:
Given that,
Height of a cylinder, h = 16 cm
Radius of the cylinder, r = 5 cm
The height of a cone, h' = 12 cm
The radius of a cone, r' = 4 cm
The volume of the cylinder will be :
The volume of a cone is given by :
Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³
Hence, the required answer is equal to 1055.04 cm³.
