The greatest possible value of x is the largest value that satisfies all of these inequalities. The largest value of x that satisfies all three inequalities is 6.4 .
In an obtuse triangle, the longest side is opposite the obtuse angle. To determine the greatest possible value of x, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the longest side measures 20 cm, and the two shorter sides are x cm and 3x cm. So, we have the following inequalities:
x + 3x > 20 (sum of the two shorter sides must be greater than the longest side)
20 + x > 3x (sum of the longest side and the shorter side must be greater than the other shorter side)
20 + 3x > x (sum of the longest side and the other shorter side must be greater than the remaining shorter side)
Let's solve these inequalities:
4x > 20
x > 5
20 + x > 3x
20 > 2x
10 > x
20 + 3x > x
20 > -2x
-10 < x
So, the greatest possible value of x is the largest value that satisfies all of these inequalities. The largest value of x that satisfies all three inequalities is 6.4 (rounded to the nearest tenth). Therefore, the greatest possible value of x is 6.4 cm.
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Answer:
7.1
Step-by-step explanation:
because pythagorean theorem
c² > a² + b²
20² > x² + 3x²
400 > 4x²
÷4 ÷4
100 > x²
10 > x 400 > 4(7.1)²
400 > 4(50.41)
400 > 201.64
cannonballs, as shown in the illustration. On an idle afternoon you decide to
calculate the number of cannonballs in the stack. What is the number of
cannonballs?
650 is the number of cannonballs. It typically fires a projectile propelled by an explosive chemical.
A cannon constitutes a large-caliber gun that belongs to the artillery category. It typically fires a projectile propelled by an explosive chemical. Prior to the development of smokeless powder in the late 19th century, gunpowder (sometimes known as "black powder") served as the main propellant.
Depending on their intended purpose on the battlefield, different types of gun combine and balance these characteristics to differing degrees. Cannons differ in gauge, effective range, mobility, rate of fire, angle of fire, and firepower. A large artillery weapon is a cannon.
By utilizing the formula of a square pyramid,
n(n+1)(2n+1)/6
12(12+1)(2(12)+1)/6
12(13)(25)/6
2*13*25
=650
Therefore, 650 is the number of cannonballs.
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Answer: The correct answer would be 164(c)
Step-by-step explanation:
You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish
Army in Sevilla in the year 1842. Outside your barracks window is a stack of
cannonballs, as shown in the illustration. On an idle afternoon you decide to
calculate the number of cannonballs in the stack. What is the number of
cannonballs?
Answer:
Step-by-step explanation:
-2x + 5y = -15
5x + 2y = -6
-10x + 25y = -75
10x + 10y = -30
35y = -105
y = -3
5x + 2(-3) = -6
5x - 6 = -6
5x = 0
x = 0
(0, -3)
one solution
Answer:
one solution
Step-by-step explanation:
took the test
Answer:
Euros
Step-by-step explanation:
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