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slamgirl [31]
3 years ago
5

Help! i’ll mark the right one as brainliest :)!

Mathematics
2 answers:
sineoko [7]3 years ago
7 0

Answer:

4a. 4 / 9

4b. 1 / 81

4c. 1

4d. 1024

4e. 1 / 25

4f. 64

Step-by-step explanation:

4a. (2/3)^2 = (2^2 / 3^2) = 4/9

4b. 3^-4 = 1 / 3^4 = 1/81

4c. 4^0 = 1

4d. 4^2 x 4^3 = 4^5 = 1024

4e. 5^2 / 5^4 = 1 / 5^2 = 1/25

4f. (2^2)^3 = 2^6 = 64

Hopefully this helps!

MariettaO [177]3 years ago
4 0

Answer:

I’ll tell you how to solve these so you can do it yourself easily. If you still don’t understand, tell me and I’ll help out more :)

The exponent—small number in the top corner of another number—means the number of times you multiply the number by itself.

Example:

3²

I have to multiply 3 by 3 twice, therefore I do 3x3 and get 9. 3² = 9!

The · is a multiplication sign and the parenthesis indicate you multiply as well.

I’ll do 4a for you:

I see the exponent is 2, so I have to write:

2/3 · 2/3

I solve that by multiplying the numerators (2x2) and the denominators (3x3).

2/3 · 2/3 = 4/9.

The answer is 4/9.

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blagie [28]

The missing figure is attached

The value of a is 5\frac{1}{3} ⇒ 2nd answer

Step-by-step explanation:

Let as revise the Pythagoras Theorem

In the right triangle ABC, where ∠B is a right angle (AC is the hypotenuse, Ab and BC are the legs of the right angle)

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If BD is drawn perpendicular to AC, we can use these rules

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In Δ WYZ

∵ m∠WYZ = 90°

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∴ (WZ)² = (WY)² + (YZ)²

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∵ WZ = c units

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In Δ XWZ

∵ m∠XWZ = 90°

∵ WY ⊥ XZ

- We can use the rule (WZ)² = ZY × ZX

∵ (WZ)² = ZY × ZX

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∴ (5)² = 3(3 + a)

∴ 25 = 9 + 3a

- Subtract 9 from both sides

∴ 16 = 3a

- Divide both sides by 3

∴ a = 5\frac{1}{3}

The value of a is 5\frac{1}{3}

Learn more:

You can learn more about the rules of the right triangle in brainly.com/question/14390928

#LearnwithBrainly

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