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wlad13 [49]
3 years ago
8

Simplify the square root of 27x^12/300x^8

Mathematics
1 answer:
serg [7]3 years ago
7 0

Answer:

(3/10) * (x ^ 2)

Step-by-step explanation:

The first thing we are going to do is rewrite the expression correctly.

We have:

root (27x ^ 12 / 300x ^ 8)

Rewriting:

root ((27/300) * (x ^ 12 / x ^ 8))

root ((9/100) * (x ^ (12-8)))

root ((9/100) * (x ^ (4)))

root ((9/100) * (x ^ (4)))

3 * x ^ 2 * root ((1/100)

(3 * x ^ 2) / 10

(3/10) * (x ^ 2)

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PLEASE NEED HELP ASAP WILL GIVE 50 POINTS
iogann1982 [59]

Answer:

x = 32

Step-by-step explanation:

This is an equilateral triangle, all three sides equal.  Since all three sides are equal, all three angle are equal.  180/3 = 60.  That means each angle is equal to 60 degrees.

2x-4 = 60

Add 4 to each side

2x-4+4 = 60+4

2x =64

Divide each side  by 2.

2x/2 = 64/2

x = 32

7 0
3 years ago
I put $500 in a saving account that warns 7% interest compounded quarterly. How much will be in the account after 1 year? Rounde
Fantom [35]
\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$500\\
r=rate\to 7\%\to \frac{7}{100}\to &0.07\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &1
\end{cases}
\\\\\\
A=500\left(1+\frac{0.07}{4}\right)^{4\cdot 1}\implies A=500(1.0175)^4\implies A\approx 535.92951564
5 0
3 years ago
One side of trapezoid is 10 inches. The side parrellel to this is twice as long as this side. The height is half as long as the
madam [21]
The first side is 10 inches
the side parallel to this is (10×2)= 20 inches
Height is half the length=1/2×20=10 inches
The area of trapezium is given by:
Area=1/2×h×(a+b)
where a and b are the sides, h is the height. Thus the area will be:
Area=1/2×10×(20+10)
=1/2×10×30
=150 sq. inches
7 0
3 years ago
What is the modulus of |9+40i|?
Talja [164]

Answer:

41

Step-by-step explanation:

We know that complex numbers are a combination of real and imaginary numbers

Real part is x and imaginary part y is multiplied by i, square root of -1

Modulus of x+iy = \sqrt{x^2+y^2}

Here instead of x and y are given 9 and 40

i.e. 9+40i

Hence to find modulus we square the coefficients add them and then find square root

|9+49i| =\sqrt{9^2+40^2} =\sqrt{1681}

By long division method we find that

|9+40i| =41


6 0
3 years ago
Read 2 more answers
What number has a 9 with a value ten times as many as the 9 in 39,154
Tomtit [17]

Answer:

Any number with 9 in the ten-thousands place. 90,000 is one such number.

Step-by-step explanation:

The 9 in 39,154 is in the thousands place. Its value is 9,000. In order for the 9 in a number to have a value 10 times that, or 90,000, the 9 must be in the ten-thousands place.

There are an infinite number of such numbers. We suspect you have a list you are to choose from. Pick the number with 9 where it is in the number 90,000.

8 0
3 years ago
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