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3 years ago

Write the expression as a power. 3^12 * 27

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

<h3>Answer: 3^15</h3>

Work Shown:

3^12 * 27

3^12 * 3^3

3^(12+3)

3^15

I used the rule a^b*a^c = a^(b+c) on the third step.

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A rectangular field has an area of 162 m² the width of this field is 9m what is the perimeter of this field

Andru [333]

Answer:

54 m

Step-by-step explanation:

Alrighty, what have we here: an area of 162 m² and a width of 9m.

So: A=162m², W=9m, let's draw this: (see the screenshot attached)

Using the formula for area (Area = width x length) we see that:

$162m^{2} =9m*L$

Thus: (equating to L by dividing both sides by 9m)

⇒ $\frac{162m^{2} }{9m}=18m=L$

Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:

$perimeter=2W+2L=2*9m+2*18m=18m+36m=54m$

And there we have our answer.

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3 years ago

Calculate the number of roots of <br> 2sin^3x-5sin^2x+2sinx=0<br> in the interval 0<=x<=pi

natita [175]

Answer:

Which points are collinear?

G, A, and T

G, E, and T

A, T, and E

G, A, and E

Step-by-step explanation:

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3 years ago

Subtract the difference of a and 2 from 7

Luden [163]

Answer:

7-(a-2)

Step-by-step explanation:

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3 years ago

Work out the angle of elevation from the

insens350 [35]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30°$

____________________________________

$\large \tt Solution \: :$

Let the angle of elevation be " x "

$\qquad \tt \rightarrow \: \cos(x) = \dfrac{9 \sqrt{3} }{18}$

$\qquad \tt \rightarrow \: \cos(x) = \dfrac{ \sqrt{3} }{2}$

$\qquad \tt \rightarrow \: x = \cos {}^{ - 1} \bigg( \cfrac{ \sqrt{3} }{2} \bigg )$

$\qquad \tt \rightarrow \: x = 30 \degree \: \: or \: \: \cfrac{ \pi}{6} \: \: rad$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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2 years ago

Read 2 more answers

Caculate the slope between the points <br> (9, 12) and (4, 17)

Scilla [17]

To calculate the slope you need to do (y2-y1)/(x2-x1). So you would get:
(17-12)/(4-9)
5/-5
=-1
Hope this helps.

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3 years ago