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2 years ago

HELP!!!! Position and label the triangle on the coordinate plane

Mathematics

1 answer:

Darya [45]2 years ago

4 0

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

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How many perfect cube divisors does 160,000 have?

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

16,000 = (2^7)(5^3)

So, the number of positive divisors of 16,000 = (7+1)(3+1)

= (8)(4)

7 0

2 years ago

12k+5=k+49 what's the answer

dybincka [34]

The answer is k=4 you're welcome

3 0

3 years ago

(Full question above)

zlopas [31]

Answer:

B. 300

Step-by-step explanation:

Final figure volume = big cuboid volume - small cuboid volume

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Final figure = (6 x 6 x 15) - (4 x 4 x 15)

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3 years ago

Using addition formula solve tan 15

salantis [7]

Answer:

2 - $\sqrt{3}$

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = $\frac{tanA-tanB}{1+tanAtanB}$ and the exact values

tan45° = 1 , tan60° = $\sqrt{3}$ , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= $\frac{tan60-tan45}{1+tan60tan45}$

= $\frac{\sqrt{3}-1 }{1+\sqrt{3} }$

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + $\sqrt{3}$ is 1 - $\sqrt{3}$

= $\frac{(\sqrt{3}-1)(1-\sqrt{3}) }{(1+\sqrt{3})(1-\sqrt{3}) }$ ← expand numerator/denominator using FOIL

= $\frac{\sqrt{3}-3-1+\sqrt{3} }{1-3}$

= $\frac{-4+2\sqrt{3} }{-2}$

= $\frac{-4}{-2}$ + $\frac{2\sqrt{3} }{-2}$

= 2 - $\sqrt{3}$

3 0

2 years ago

Determine the value of x in the diagram where lines a and b are parallel

Yakvenalex [24]

If lines a and b are parallel, the two angles given would be the same.
2x - 5 = x + 20
x = 25

6 0

3 years ago