False, An example would be an equilateral triangle with 3 sides of 3 inches, and another with three sides of 5 inches. They will be similar but not congruent because their sides differ. because the sides and volumes differ they will not be congruent.
Answer: 17000000 ounces of gold were mined in that country that year.
Step-by-step explanation:
Let x represent the number of ounces of gold that were mined in that country that year.
Approximately 1,870,000 oz of gold went into the manufacturing of electronic equipment in a certain country in 1 year. This was 11% of all the gold mined in that country that year. This means that
11/100 × x = 1870000
0.11x = 1870000
x = 1870000/0.11
x = 17000000
Answer:
x² - 64
Step-by-step explanation:
Given
(x + 8)(x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 8) + 8(x - 8) ← distribute both parenthesis
= x² - 8x + 8x - 64 ← collect like terms
= x² - 64
Answer:
60
Step-by-step explanation:
Cot is the same as 1/tan so:

By rearranging the equation, we get:

By taking the inverse tan, we get:

9514 1404 393
Answer:
C. Obtuse
Step-by-step explanation:
The "form factor" I use for this is ...
a^2 + b^2 - c^2 = 6^2 + 8^2 - 11^2 = 36 +64 -121 = -21
The value is negative, indicating an OBTUSE triangle.
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<em>Additional comment</em>
In this expression, 'a' and 'b' are the two shortest sides (in no particular order) and 'c' is the longest side. The interpretation is ...
negative — obtuse
zero — right
positive — acute
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If you're familiar with Pythagorean triples, you know that the 3-4-5 right triangle triple can be doubled to give 6-8-10. The long side of 11 is longer than the hypotenuse for the right triangle, so would correspond to a largest angle greater than 90°. The 6-8-11 triangle would be OBTUSE.