3 years ago

Solve for x. A) 11 B) 9 C) 6 D) 7

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

Angle BCA is inscribed in that circle. The rule is that the inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is arc AB which measures 96 degrees. That means that

$4x+4=\frac{1}{2}(96)$ and

4x + 4 = 48 and

4x = 44 so

x = 11

Choice A is the one you want.

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Given the exponential equation 3x = 243, what is the logarithmic form of the equation in base 10?

weeeeeb [17]

The answer is $x= \frac{log_{10} (243 )}{log_{10} (3 )}$

$3^{x} =243$
Logarithm both sides of the equation:
$log_{10} (3^{x} ) = log_{10} (243 )$
Since: $log (a^{b}) = b*log(a)$ , then: $log_{10} (3^{x} ) =x*log_{10} (3 )$
Back to our equation:
$log_{10} (3^{x} ) = log_{10} (243 ) \\ 
x*log_{10} (3 ) = log_{10} (243 ) \\ 
x= \frac{log_{10} (243 )}{log_{10} (3 )}$

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3 years ago

18. At my son's birthday party, we had a piñata that we filled with 140 pieces of candy. If there were 42 Hershey

creativ13 [48]

Answer:

18. 30%

19. 62.5%

Step-by-step explanation:

42/140 mult by 100 30%

25 + 15 = 40

25/40 mult by 100 62.5%

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