6x-21>3
Add 21 to both sides
6x>24
Divide 6 on both sides
X>4
14x+11>-17
Subtract 11 from both sides
14x>-28
Divide 14 on both sides
X<-2
Answer:
Let's assign the variable x to cosA. The expression then becomes x² - 5x + 6. To factorize this we need to find two numbers that have a sum of -5 and a product of 6; these numbers are -2 and -3 so the expression becomes (x - 2)(x - 3). Since we know that x = cosA the final answer is (cosA - 2)(cosA - 3).
Answer:
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The set of side lengths that form a right triangle is 7, 24, 25
Explanation:
We can solve this using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2. We can plug each set of numbers into the equation, one by one, to see if the set of numbers is true in the equation. One thing to note is that the largest number out of the set is always the hypotenuse, or c. The other numbers are the legs (a and b.)
5, 11, 13
a^2 + b^2 = c^2
(5)^2 + (11)^2 = (13)^2
25 + 121 = 169
146 ≠ 169
Since 146 doesn't equal 169, this is NOT a right triangle
9, 24, 25
a^2 + b^2 = c^2
(9)^2 + (24)^2 = (25)^2
81 + 576 = 625
657 ≠ 625
Since 657 doesn't equal 625, this is NOT a right triangle
7, 24, 25
a^2 + b^2 = c^2
(7)^2 + (24)^2 = (25)^2
49 + 576 = 625
625 = 625
This equation is true, because 625 = 625. Therefore this IS a right triangle.
Answer:
1256 cm
Step-by-step explanation:
First we must find the perimeter, because the perimeter is equal to 1 revolution.
The perimeter of any circle is Pi(Diameter)
3.14*20
62.8 cm is the perimeter of the bike wheel.
Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:
1256 cm
