Difference between revisions of "AMC 12C 2020 Problems"

Revision as of 12:56, 21 April 2020

Problem 1

What is the sum of the solutions of the equation $(x + 4)(x - 5)(x + 6) = 0$ ?

$\textbf{(A)}\ -5 \qquad\textbf{(B)}\ 0 \qquad\textbf{(C)}\ 5 \qquad\textbf{(D)}\ 12 \qquad\textbf{(E)}\ 14$

Problem 2

What is the numerical value of the sum $\sum_{k = 1}^{11}(i^{3} + i^{2})$

$\textbf{(A)}\ 4000 \qquad\textbf{(B)}\ 4608 \qquad\textbf{(C)}\ 4862 \qquad\textbf{(D)}\ 5792 \qquad\textbf{(E)}\ 6100$

Problem 4

A lamb is tied to a post at the origin $(0, 0)$ on the real $xy$ plane with a rope that measures $5$ units. $2$ wolves are tied with ropes of length $5$ as well, both of them being at points $(5, 5)$ , and $(-5, -5)$ . What is the area that the lamb can run around without being in the range of the wolves?

Revision as of 12:56, 21 April 2020 (view source) Shiamk (talk \| contribs) (→‎Problem 3) ← Older edit		Revision as of 12:56, 21 April 2020 (view source) Shiamk (talk \| contribs) (→‎Problem 3) Newer edit →
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−	==Problem 3==	+	==Problem 4==

	A lamb is tied to a post at the origin <math>(0, 0)</math> on the real <math>xy</math> plane with a rope that measures <math>5</math> units. <math>2</math> wolves are tied with ropes of length <math>5</math> as well, both of them being at points <math>(5, 5)</math>, and <math>(-5, -5)</math>. What is the area that the lamb can run around without being in the range of the wolves?		A lamb is tied to a post at the origin <math>(0, 0)</math> on the real <math>xy</math> plane with a rope that measures <math>5</math> units. <math>2</math> wolves are tied with ropes of length <math>5</math> as well, both of them being at points <math>(5, 5)</math>, and <math>(-5, -5)</math>. What is the area that the lamb can run around without being in the range of the wolves?

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Difference between revisions of "AMC 12C 2020 Problems"

Revision as of 12:56, 21 April 2020

Problem 1

Problem 2

Problem 4