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3 years ago

Evaluate:

lt="27^{\frac{2}{3} }" align="absmiddle" class="latex-formula">

(An explanation would be appreciated.)

Mathematics

1 answer:

Mazyrski [523]3 years ago

4 0

$\displaystyle\\27^\frac{2}{3}}=\left(\sqrt[\b3]{27}\right)^2=3^2=9\\\\OR\\\\27^\frac{2}{3}}=\sqrt[\b3]{(27)^2}=\sqrt[\b3]{729}=9$

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yawa3891 [41]

Answer:

A, the probability is 1/9. you get this because you multiply the probabilities

in this example its 1/3 times 1/3 so you get 1/9

Step-by-step explanation:

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3 years ago

The distance around a circle is 37.7 meters long. what is the diameter of the circle?

aksik [14]

Ok so we know that the distance around the circle (or circumference) is equal to the diameter times pi.
This means that
$37.7 = \pi \times d$
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= 12.00028271
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3 years ago

I don't get this hw problem

r-ruslan [8.4K]

Answer:

Step-by-step explanation:

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7 0

3 years ago

Which equation has the solution x = 3?

arsen [322]

Well, let's first solve each equation:

1.) -4x + 6 - 3x = 12 - 2x - 3x

To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):

-7x + 6 = 12 - 5x

Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:

-7x + 6 = 12 - 5x
+5x +5x
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Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:

-2x + 6 = 12
-6 -6
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-2x = 6

Finally, divide by -2 on each side, to find out what the value of 'x' is:

-2x = 6
÷-2 ÷-2
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x = -3

So, the answer is not 'A.'
_________________________________________

Now, we test out the rest of the equations, the exact same way:

2.) 4x + 6 + 3x = 12 + 2x + 3x

Combine your like-terms, on each side of the equal sign:

7x + 6 = 12 + 5x

Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:

7x + 6 = 12 + 5x
-5x -5x
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2x + 6 = 12

Next, subtract 6 from both sides:

2x + 6 = 12
-6 -6
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2x = 6

Finally, divide by 2, on both sides:

2x = 6
÷2 ÷2
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x = 3

So, the answer is 'B.'
_________________________________________

3.) 4x + 6 - 3x = 12 - 2x - 3x

Again, we combine the like-terms, on both sides of the equal sign:

x + 6 = 12 - 5x

Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:

x + 6 = 12 - 5x
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6x + 6 = 12

Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:

6x + 6 = 12
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Now, divide by 6, on both sides:

6x = 6
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So, the answer is not 'C.'
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4.) 4x + 6 - 3x = 12x + 2x + 3x

First, we combine the like-terms:

x + 6 = 17x

Next, we get both terms, with the variable, 'x,' to the same side:

x + 6 = 17x
-x -x
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6 = 16x

Now, divide by 16, on both sides:

X = 3/8

So, 'D,' is not the answer.
_______________________

The answer is, 'B.'

I hope this helps!

8 0

3 years ago

Mr.Hall stands 200 meters from the base of the water tower. He finds the angle of elevation to the top of the water to be 27 deg

love history [14]

Height of the tower = 101.9 m

Solution:

Given data:

Angle θ = 27°

Adjacent side = 200 m

Opposite side = Height

Let height be taken as h.

The given image shows it is a right triangle.

Using basic trigonometric ratio formulas,

$$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}$

$$\tan27^\circ =\frac{{ h}}{200}$

The value of tan 27° = 0.5095

$$0.5095 =\frac{{ h}}{200}$

Do cross multiplication, we get

0.5095 × 200 = h

101.9 = h

Height of the tower = 101.9 m

8 0

3 years ago