Answer:
109 degrees
Step-by-step explanation:
Since we can see that the line on the top, the one across the yellow box, is the main one, and that one measures 180*, so that means that we have to just subtract 180 by 71, and that will be our answer!
180-71 =109
So, the angle of the missing angle is 109 degrees.
Another proof that this is your answer is that 109 degrees is obtuse, and we can easily say that the angle here is also obtuse.
? it’s already rounded, is there supposed to be a decimal?
Answer:
It goes up by 2.5
Step-by-step explanation:
Mean equation: (n₁ + n₂ + n₃ + ...)/n
Current mean: (2 + 4 + 7 + 6 + 3 + 6 + 7)/7 = 35/7 =<em> 5</em>
New mean: (2 + 4 + 7 + 6 + 3 + 6 + 7 + 25)/8 = 60/8 = <em>7.5</em>
Difference: 7.5 - 5 = 2.5
Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,
(xy)^a = (x^a)(y^a)
The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab
Check:
f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)
f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)
f(x) = 81^0.25x = 3^x
f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x
f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)
Therefore, the answer is third equation.
<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
<span>You are given volume of 6 US
quart. You are required to convert this into liters and be rounded off to the
nearest hundredth. Keep in mind that for
volume, every one liter is equal to 1.05669 US quart. So you need to divide the
6 US quart. This is equal to 6.34014 liters. To round of the nearest hundredth,
the ocation of the hundredth is the four in 6.3<u>4</u>014. since after four is
zero, the round off rule states that from 0-4, the preceding number remains
unchanged. So the final answer is 6.34 liters.</span>
