4 times a number less than 7 times the same number is 24. Find the number.
2 answers:
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Answer:
Nathan earned 100 points. he lost the trivia game by 5 points.
Step-by-step explanation
3 * 33 = 110 points earned
* 20 = 10 points lost
110-10 = 100
Nathan earned 100 points. he lost the trivia game by 5 points.
The area of the part of the plane 3x 2y z = 6 that lies in the first octant is mathematically given as
A=3 √(4) units ^2
<h3>What is the area of the part of the plane 3x 2y z = 6 that lies in the first octant.?</h3>Generally, the equation for is mathematically given as
The Figure is the x-y plane triangle formed by the shading. The formula for the surface area of a z=f(x, y) surface is as follows:
The partial derivatives of a function are f x and f y.
When these numbers are plugged into equation (1) and the integrals are given bounds, we get:
In conclusion, the area is
A=3 √4 units ^2
Read more about the plane
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Please note that dilation does not affect angles. Thus, if an image is dilated the angle remains the same and does not change.
Therefore, even if is dilated to
by a factor of 1.5 (or by any factor for that matter), the linear dimensions of the original triangle
will either get stretched or get shrunk by a factor of 1.5 but the angles of the original triangle will not be affected in any case.
Please note that this is true for all two dimensional geometric shapes.