In a rectangle CALM, LD =15cm. Find the length of diagonal CL. A. 15cm C. 25cm B. 20cm D. 30cm
Answers
In a rectangle, opposite sides are equal in length. Therefore, in rectangle CALM, CL is equal to AD, the diagonal of the rectangle.
Since LD is given as 15 cm, and LD is the same as AD, the length of diagonal CL is also 15 cm.
So, the correct answer is:
A. 15 cm
Final answer:
The length of diagonal CL in rectangle CALM, with LD=15cm, was calculated on the assumption that CALM is a square. Using the Pythagorean theorem, we derived approximately 21.21cm for the diagonal length, although none of the provided alternatives matched this result.
Explanation:
In rectangle CALM, if LD is 15 cm, we can solve for the length of diagonal CL using the Pythagorean theorem. The theorem relates the lengths of the sides and diagonal (hypotenuse) of a right triangle, which is formed by the diagonal and two sides of the rectangle. In this case, if LD is 15 cm and assuming that the rectangle is a square (both sides equal), we would have a right triangle with two sides of 15 cm.
Using the Pythagorean theorem, we can calculate the diagonal: a² + a² = d², where a represent the length of the sides and d stands for the diagonal. Using the equation, we get 15^2 + 15^2 = d^2, after solving it we get d=approximately 21.21.
However, none of the provided alternatives (15cm, 20cm, 25cm, 30cm) match this result, indicating that the rectangle may not be a square or that a different side (not LD) might define the diagonal length. It is crucial to have all required measurements to accurately solve the problem.
Learn more about Pythagorean theorem here:
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Answers
vf = g * t
where
g = 9.8 m/s^2
t = time
From the problem given, the final velocity of the stone is
vf = g * t
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b.-1+-/19i
c. 1+-2/19i
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Answers
Answer:
The last option is the correct one
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
x² + 20 = 2x
which can be rewritten as:
x² - 2x + 20 = 0
By comparison:
a = 1
b = -2
c = 20
The quadratic formula used to get the roots is shown in the attached image
We now substitute to get the roots as follows:
x =
or x =
Hope this helps :)