Answer:
17
Step-by-step explanation:
1) if to solve the first inequation, tnen 3x<52; ⇔ x<52/3;
2) if to solve the seconde inequation, then 2x≥24; ⇔ x≥12.
3) according to the items 1 and 2 x∈[12;52/3);
4) the largest prime number is 17.
Answer:
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
Substitute,
Simplify,
Inverse operations,
Answer:
x < 6/7
Step-by-step explanation:
Multiply both sides by 3 to get 7x < 6
Divide by 7
x < 6/7
<h3>
Answer: 9/41</h3>
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Explanation:
We have a triangle with these three sides.
Use the pythagorean theorem to find b
a^2+b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(82^2 - 80^2)
b = sqrt(324)
b = 18
This is the missing vertical leg of the triangle. And this is also the side opposite angle C.
We have enough information to compute the sine of the angle.
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 18/82
sin(C) = (9*2)/(41*2)
sin(C) = 9/41
