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3 years ago

Draw a number line from 100 to 200.

Mathematics

1 answer:

Bad White [126]3 years ago

8 0

100<-------------150-------------->200

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Special Triangles

Ugo [173]

Answer:

see explanation

Step-by-step explanation:

Using the cosine and tangent trigonometric ratios and the exact values

cos30° = $\frac{\sqrt{3} }{2}$ and tan30° = $\frac{1}{\sqrt{3} }$ , then

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{6}{m}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

$\sqrt{3}$ × m = 12 ( divide both sides by $\sqrt{3}$ )

m = $\frac{12}{\sqrt{3} }$ ← rationalise by multiplying numerator/ denominator by $\sqrt{3}$ )

m = $\frac{12}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = $\frac{12\sqrt{3} }{3}$ = 4 $\sqrt{3}$

-------------------------------------------------------------------------------

tan30° = $\frac{opposite}{adjacent}$ = $\frac{n}{6}$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

$\sqrt{3}$ × n = 6 ( divide both sides by $\sqrt{3}$ )

n = $\frac{6}{\sqrt{3} }$ ← rationalise the denominator

n = $\frac{6}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = $\frac{6\sqrt{3} }{3}$ = 2 $\sqrt{3}$

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7 0

3 years ago

The LCM of two number is a multiple of 10 and 6. The two numbers are both less then 10.what is the LCM?

SCORPION-xisa [38]

This question doesn't make sense since the LCM of 10 and 6 is 30.

Hope i helped!!! :)

4 0

3 years ago

Solve the equation below:<br> 5x^2 - 55 = 90

Leno4ka [110]

X= √29, -√29

The answer to this question would be ^

3 0

3 years ago

Find the value of x that will make A||B 4x 3x+10 x=

Ede4ka [16]

Answer:

4x 3x+10 x= 10

Step-by-step explanation:

3 0

3 years ago

For which equation would x = 5 be a solution?

tresset_1 [31]

Answer:

The second option.

3x + 6 = 21.

Step-by-step explanation:

3x + 6 = 21.

If x = 5, plug it in.

3 · 5 + 6 = 21

15 + 6 = 21

Hope this helps,

Davinia.

7 0

3 years ago