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3 years ago

Which expression is equivalent to 4-2/2^-3 a.-16 b.-8 c.8 d.16

Mathematics

1 answer:

algol133 years ago

6 0

Answer:

First, solve the top and bottom independently:

Top portion - 4-2 = 2

Bottom portion - A number to the negative power (2^-3) is equal to one over the positive power (1/2^3) which also equals 1/8

Combine both portions now: 2/(1/8)

To remove the fraction at the bottom portion, you can multiple both the top portion and bottom portions by 8 which resolves the bottom portion to be 1/8 * 8 = 1 AND the top portion to be 2 * 8 = 16.

Write the resulting equation with both top and bottom portions again and solve: 16/1 = 16

Step-by-step explanation:

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Use the diagram, which is not drawn to scale to find AD if you know that AC=24 & BC=12

Firdavs [7]

Answer:

Option b. $AD=18\ units$

Step-by-step explanation:

step 1

In the right triangle ABC

Find the sine of angle CAB

$sin($ ---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)

substitute

$sin($

simplify

$sin($ ---->equation A

step 2

In the right triangle BDC

Find the sine of angle CBD

$sin($ ---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)

substitute

$sin($ ----> equation B

step 3

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and BDC are similar by AA Similarity Theorem

therefore

m∠CBD≅m∠CAB

equate equation A and equation B

$\frac{DC}{12}=\frac{1}{2}$

solve for DC

$DC=\frac{12}{2}=6\ units$

step 4

Find the value of AD

$AD=AC-DC$

substitute the values

$AD=24-6=18\ units$

4 0

3 years ago

Read 2 more answers

In two or more complete sentences, describe the steps necessary in completing the following sum. In your final answer, include t

tiny-mole [99]

Answer:

First, you would need to find a common denominator for the two, in this case it would be 6 which would make the equation 3/6 + 4/6=7/6. Then in order to make the answer a mixed number you would need to divide the numerator into the demonanator, write down the whole number answer (6 will go into 7 ONE time) then write down the "leftovers". The final answer would be 1 1/6

(i hope this helps! im not the best at explaining)

6 0

4 years ago

Which of the following statements is NOT true?

ira [324]

Answer:2nd

Step-by-step explanation:

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4 years ago

You have averaged $62,500.00 for the last five years of work. Your company has agreed to pay you a yearly pension of 75 %. What

Sergio [31]

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