Five less than a number is greater than 21five less than a number is greater than 21

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Sorry can u be more specific thank you

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A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?

den301095 [7]

Answer: 23 degrees

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Explanation:

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees, the formula we use is shown below

central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees

5 0

3 years ago

Simplifying exponents (picture provided)

Hitman42 [59]

Answer:

<em>3^2 ; Option B</em>

Step-by-step explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

$3^{ - 6 } * ( 3^{ 4 } / 3^{ 0 } )^{2} - take 3^{ 0 } as 1,\\\\3^{ - 6 } * ( 3^{ 4 } / 1 )^{2} - take 3^{4} to power of 2, ( * of exponents ),\\\\3^{ - 6 } * ( 3^{ 8 } ) - combine powers, adding exponents,\\\\3^{ - 6 + 8 } - add like terms,\\\\3^{2} \\\\Solution; 3^{2}$