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vesna_86 [32]
2 years ago
15

26. If x:3 = 12:x, calculate the positive value of x.​

Mathematics
2 answers:
nydimaria [60]2 years ago
6 0

Answer:

Answer ::+-6

Step-by-step explanation:

x:3=12:x

or, x/3 = 12/x

Doing cross multiplication,

x^2=36

Putting sqare root on both sides,

x= sqrt. 36

x= +- 6

Therefore x=+-6.

9966 [12]2 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

Express the ratio in fractional form, that is

\frac{x}{3} = \frac{12}{x} ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = ± \sqrt{36} = ± 6

Thus x = 6 is the positive value

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the $700 you put into the bank is being continuously at 1.2%. how much will it be worth after 3 years?
Olin [163]

Answer:

$983.45

Step-by-step explanation:

Given data

Principal= $700

Rate= 1.2%

Time= 3 years

The compound interest expression is given as

A= P(1+r)^t

A= 700(1+0.12)^3

A= 700(1.12)^3

A= 700*1.404928

A=$983.45

Hence the balance will be $983.45

7 0
3 years ago
A video game sets the points needed to reach the next level based on the function g(x) = 8(2)x + 1, where x is the current level
Liula [17]
For us to determine the number of points that is needed in order to surpass or succeed the hardest setting of the game level 5, we use first the function g(x) to determine the total points required for the lower level.
             g(x)  = 8(2)(x) + 1
We substitute the x of the function with 5 since we are in level 5.
             g(5) = 8(2)(5) + 1 = 81

Then, to determine the points for the hardest setting, we multiply the points by 3 as given in function h(x).
              h(x) = 3(81) = 243

Hence, to succeed the hardest setting of level 5, one needs a total of 243 points.
7 0
3 years ago
Is the answer <br> “A” <br><br> * just checking*
aalyn [17]
Yes you are correct the answer is A
5 0
3 years ago
Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ&lt;2π0≤θ&lt;2π (a)(9,0
DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

x=r  \cos \theta, y= r \sin \theta

r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )

a) converts (9, 0) to polar coordinates  ( r , θ)

r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9

\theta= \tan^-^1 (\frac{0}{9} )\\\\=0

b) Convert (18,\frac{18}{\sqrt{3} } ) to polar coordinates ( r, θ)

r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}

\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}

c)  converts (-5, 5) to polar coordinates  ( r , θ)

r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}

\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}

d)  converts (-1, √3) to polar coordinates  ( r , θ)

r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2

\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}

= \frac{2\pi}{\sqrt{3} }

6 0
3 years ago
I NEED HELP ASAP PLEASE!!!!
givi [52]

Answer:

Hello!

An irrational number is all the real numbers which are not rational numbers.

M = \sqrt{2 is a irrational number.

N = \sqrt{5} is a irrational number.

S = 2 is not irrational, and is actually a whole number.

T = 5 is not irrational, and is actually a whole number.

Have a great day!

I hope this helps! <33

4 0
2 years ago
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