All categories

2 years ago

Simplify each expression as much as possible, and rationalize denominators when applicable. . √36/√18= ?

Mathematics

1 answer:

tino4ka555 [31]2 years ago

7 0

Answer:

√2

Step-by-step explanation:

Solving the given expression step by step:

$\frac{\sqrt{36} }{\sqrt{18} } = \frac{6}{3\sqrt{2} }\ \ \ [\because \sqrt{36} = 6 \ and \ \sqrt{18} = 3\sqrt{2}] \\ = \frac{3 \times 2}{3\sqrt{2} } = \frac{ 2}{\sqrt{2} }= \sqrt{2}$

We rationalize denominator and change it into a simpler form as soon as possible.

You might be interested in

the area of rhode island is approximately 1200 square miles, and its population is approximately 1 million people. What is the b

devlian [24]

Answer: 1,083.3333

Step-by-step explanation:

The best estimate for the population density for Rhode Island is 1,083 people. I found this by dividing 1,300,000 by 1200.

Hope my answer helps you out :D

5 0

3 years ago

So I kinda forgot how to do this *nervous laughter* um help

natali 33 [55]

1) value of x =60

2) value of x = 3

Step-by-step explanation:

We need to use cross products to solve the proportions of x.

$1.\,\, \frac{3}{5}= \frac{x}{100}$

Solving:

$\frac{3}{5}= \frac{x}{100}\\Cross\,\,multiply\,\,:\\5x=3*100\\5x=300\\x=\frac{300}{5}\\x=60$

So, value of x =60

$2.\,\,\frac{x}{8}=\frac{7.5}{20}$

$\frac{x}{8}=\frac{7.5}{20} \\20x=7.5*8\\20x=60\\x=\frac{60}{20}\\ x=3$

So, value of x = 3

Keywords: Ratio and Proportions

Learn more about Ratio and Proportions at:

#learnwithBrainly

7 0

2 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

. Choose the correct means and standard deviations for the Sincere and Insincere conditions. Make sure to round to two decimal p

tensa zangetsu [6.8K]

Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is

x` Std. Dev

R. disagrees 4.16 0.854

P. disagrees 3.82 0.967

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97

8 0

3 years ago

Triangle ABC is located at A(-4,5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-1, 7), B’(-1, 1), a

astraxan [27]

Triangle ABC is translated 3 units right and 2 units up
by looking at point A (-4,5) which is translated to A'(-1,7)
we can tell by looking at the points that -4 is shifted by 3 units to the right ti reach -1 and 5 is shifted upwards by 2 units to reach 7

7 0

2 years ago