Answer: 8^10
Add up the exponents 6 and 4 to get 6+4 = 10. This is using the rule a^b*a^c = a^(b+c). In this case, a = 8, b = 6, c = 4.
Answer:
600
Step-by-step explanation:
<h3>
Answer: 0.5</h3>
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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
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We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
Answer:
1: n > -75
2: n < -12
Step-by-step explanation:
1: n/-3 - 8 < 17
n/-3 (- 8 + 8) < 17 + 8
n/-3 < 25
n/-3(-3) < 25(-3)
n < -75
n > -75 (switch symbol when you divide or multiply by a negative number)
2: n/-2 + 11 > 17
n/-2 (+ 11 - 11) > 17 - 11
n/-2 > 6
n/-2(-2) > 6(-2)
n > -12
n < -12 (switch symbol when you divide or multiply by a negative number)
Answer:
5^(14)
Step-by-step explanation:
5^3 x 5^11
We know that a^b * a^c = a^(b+c)
5^3 x 5^11 = 5^(3+11) = 5^(14)
