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3 years ago

What number should both sides of the following equation be divided by to solve for x?

Mathematics

2 answers:

erik [133]3 years ago

7 0

You have to divide 6.4 to both sides

iVinArrow [24]3 years ago

5 0

The number that should be used is 6.4

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In an election, ethan got 5 fewer votes than christohper,who got 3 more votes than olivia, who got 4 fewer votes than Ava.

Zina [86]

Answer:

110 votes

Step-by-step explanation:

110 votes

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3 years ago

Solve the proportion for t 15:75=30:t

Dominik [7]

The answer is 150.
15(2)=30 so
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5 0

3 years ago

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 $\sqrt{3}$

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

7 0

3 years ago

The leg of a right triangle are 3 units and 10 units. What is the length of the hypotenuse? Round your answer to the nearest hun

Andreas93 [3]

Hey there! This is gonna require the Pythagorean Theorem which is<span> a^2 + b^2 = c^2
</span>
a and b in this case are the legs while c is the hypotenuse! So, we can just plug in the numbers we know!

3^2 + 10^2 = c^2

9 + 100 = c^2

109 = c^2

And then take the square root of 109 to get the hypotenuse.

<span>10.4403065089 = c
</span>
Since we need to round to the nearest hundredth, though, it would be 10.44

I hope that helps! Feel free to let me know if you have any questions!

- mathwizzard3

6 0

3 years ago

According to the National Center for Health Statistics, in 1990, 28 % of babies in the United States were born to parents who

AfilCa [17]

Answer:

76 % of babies will be born out of wedlock in the $81^{st}$ year