= a^21b^24c^10
use the product rules for each set of () then multiply them together. when multiplying variables with exponents you just add them together like for a^3 * a^5 = a^8. (a^3 b^12 c^2)^2 = (a^6 b^24 c^4)
Applying the law of sines, the approximate length of side YZ is: A. 15.7 units.
<h3>How to Apply the Law of Sines?</h3>
Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.
Given the following:
- x (YZ) = ?
- X = 32°
- z = 24
- Z = 180 - 32 - 94 = 54°
Plug in the values
x/sin 32 = 24/54
x = (sin 32 × 24)/sin 54
x ≈ 15.7 units.
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Lim x->1 (x^2+8x-2)
substitute x =1
= 1^2 +8(1)-2
= 1 +8 -2
= 7
So the limit = 7
Hello!
8c - 3c + 3 = 13
Begin by combining like terms:
5c + 3 = 13
Subtract 3 from both sides:
5c + 3 - 3 = 13 - 3
5c = 10
Divide both sides by 5:
5c/5 = 10/5
c = 2.
Answer:
175 ways
Step-by-step explanation:
5 balls are red, and 7 balls are blue making a total of 12 balls.
4 balls are drawn from the box,
1 ball is red and 3 balls are blue out of the 4 drawn from the box.
We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.
Since the order is not essential we use combinations to find out
5C1 * 7C3= 5*35 = 175 ways
