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3 years ago

Simplify the following surd expressions-

Mathematics

1 answer:

galben [10]3 years ago

8 0

Answer:

$\sqrt{2}$ and 4 $\sqrt{11}$

Step-by-step explanation:

To simplify like surds, add/ subtract the coefficients.

(a)

$\sqrt{2}$ (6 - 5)

= $\sqrt{2}$ (1)

= $\sqrt{2}$

(b)

$\sqrt{11}$ ( 1 + 3)

= $\sqrt{11}$ (4)

= 4 $\sqrt{11}$

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P= 14413.49 R= 0.0015 T= 36 What is I= Prt

tamaranim1 [39]

Answer: I = 778. 33

Step-by-step explanation:

P= 14413.49

R= 0.0015

T= 36

The formula for calculating interest is given as :

I = PRT

substituting the given values , we have :

I = 14413.49 x 0.0015 x 36

I = 778.32846

I = 778. 33

6 0

3 years ago

Monday What time is 5 3/4 hours after 11:32 pm?

Marina86 [1]

bearing in mind that the an hour has 15 + 15 + 15 + 15 = 60 minutes, so 15 minutes in 1/4 of an hour, thus 45 minutes is 3/4 of an hour.

now, from 11PM, if we add the 5 hours first, we'll be at 4AM, pass midnight of course.

now let's add the minutes, 32 and then 45, that gives us 77 minutes.

so the time will be 4AM plus 77 minutes, since 60 minutes is 1 hr, so 4AM plus 1 hr and 17 minutes, that'd be 5:17AM.

6 0

2 years ago

Correct answer get the BRAINLIEST ANSWER!

OLga [1]

Here is how I completed the problem:

I started by creating a ratio:

$\frac{x}{0.18} + \frac{360}{0.10} = \frac{x+360}{0.15}$

Where 'x' is the desired amount of the 18% solution of sulfuric acid.

From here, I solved for 'x':

 $\frac{0.10x}{0.018} + \frac{360(0.18)}{0.018} = \frac{x+360}{0.15}$
$\frac{0.10x}{0.018} + \frac{64.8}{0.018} = \frac{x+360}{0.15}$
$\frac{0.10x+64.8}{0.018} = \frac{x+360}{0.15}$
$0.15(0.10x+64.8) = 0.018(x+360)$
$0.015x+9.72 = 0.018x+6.48$
$0.003x = 3.24$
$x = 1080$

∴You will need to add 1080ml of 18% Sulfuric Acid in order to obtain a 15% solution.

8 0

3 years ago

Geometry it's about relations within triangles. need help solving for variables

elena-14-01-66 [18.8K]

Answer:

`18. x=9

19. x=4

20. x=25,5

21. x=3

22. x=3,5

23. x=10

Step-by-step explanation:

5 0

1 year ago

Chelsea deposits $600.00 into a bank account and is earning 8.5%simple interest. She decides to keep the account for 4 years. a)

snow_lady [41]

Answer:

$204 in interest

Step-by-step explanation:

Plug in each variable into the simple interest formula: I = PRT

P = $600

R = 8.5% (0.085)

T = 4 years

3 0

3 years ago