Answer:
The ordered pair which makes both the inequalities true is = (–2, 2)
Step-by-step explanation:
inequalities are the relationships between two expressions which are not equal to one another.
Inequalities are represented by the following relations:
- ≤: "less than or equal to"
- ≥: "greater than or equal to"
an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
so, the option B(-2,2) satisfies the inequalities expressions given in the question
therefore we can conclude that (-2,2) is the ordered pair which ,makes both the given inequalities true.
so the correct answer is (-2,2)
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Vcyl = Vcone
pi×x^2×y = 1/3×pi×(3x)^2 (h)
pi's cancel--> x^2•y = 3x^2 (h)
h = y/3
Answer:
-15/17
Step-by-step explanation:
One method is to use Pythagorean identity.
sin² θ + cos² θ = 1
sin² θ + (-8/17)² = 1
sin² θ + 64/289 = 1
sin² θ = 225/289
sin θ = ±15/17
Since θ is in the third quadrant, sin θ < 0. So sin θ= -15/17.
Another method is to draw a triangle in the third quadrant, with angle θ, adjacent side -8, and hypotenuse 17. Use Pythagorean theorem to find the opposite side:
c² = a² + b²
17² = (-8)² + b²
b = -15
Therefore, sin θ = -15/17
Answer:
y = 3/4x -2
Step-by-step explanation:
Rise 3, run 4. Slope 3/4. Y intercept at -2.
Answer:
31.42 cm (rounded up to two decimal places)
Step-by-step explanation:
We first find the circumference of the semi-circle segment:
The circumference will be given by;
× π × D (where D is the diameter)
The diameter is 6 cm so circumference is;
× π × 6 cm = 9.42 cm (rounded up to two decimal places)
The perimeter of the figure therefore is;
8cm + 6 cm + 8 cm + 9.42 cm = 31.42 cm