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katrin [286]
2 years ago
13

1

Mathematics
1 answer:
Setler79 [48]2 years ago
6 0

Answer:

1/4 + x = (-5)/4

x = -5/4 - 1/4

x = (-5)-1 /4

x = (-6)/4

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Simplify the expression \[\frac{6}{\sqrt{36} + \sqrt{27}} + \frac{6}{\sqrt{27} + \sqrt{18}} + \frac{6}{\sqrt{18} + \sqrt{9}}.\]
Viktor [21]

Answer:

= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

Step-by-step explanation:

6(\sqrt{36} +\sqrt{27}) + 6(\sqrt{27} +\sqrt{18}) + 6(\sqrt{18} + \sqrt{9} )\\= 6( {6} +\sqrt{9*3}) + 6( \sqrt{9*3}  +\sqrt{9*2}) + 6(\sqrt{9*2} + 3 )\\= 6( {6} +3\sqrt{3}) + 6(3\sqrt{3} +3\sqrt{2}) + 6(3\sqrt{2} + 3 )\\=36 + 18\sqrt{3} + 18\sqrt{3} + 18\sqrt{2}+ 18\sqrt{2} + 18\\= 36+18  +18( \sqrt{3}+ \sqrt{3} +\sqrt{2} + \sqrt{2})\\= 54 + 18 (2\sqrt{3} +2\sqrt{2})\\=54 + 36\sqrt{3}  + 36\sqrt{2}\\= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

7 0
3 years ago
A circle has a circumfernce of 13 it has a arc length of 11. What is the central angle of the arc in degrees
tatiyna

Answer: 304.6°

Step-by-step explanation:

First of all, using the circumference of the circle formula to find the radius of the circle.

Circumference of the circle = 13, ie

2πr = 13,

r = 13/2π ---------------------------- 1

Now getting the radius of the circle now, you now substitute for this in the formula for finding the length of an arc to get the central angle.

Arc length = 11 , ( 2πr0°/360) or (πr0°/180), so

πr0°/180 = 11 ------------------------ 2

Now solve for 0°, the central angle of the angle by making it the subject of the formula.

πr0° = 180 x 11

0° = 180 x 11

----------- ----------------- 3

πr

Now, put equation 1 in equation 3 and solve.

0° = 1980

--------

π x 13/2π

= 1980 x 2π

-----------

π.x. 13

= 1980 x 2

----------

13

= 3960/13

= 304.6°

Therefore, the central angle of the arc is 304.6°

Please be meticulous and understand the way I change the r in the denominator. It was the rule in fraction when dividing.

5 0
3 years ago
If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hour
snow_tiger [21]

Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Given that

Rachel can paint half of the living room in 1 hour

Fran can paint \frac{1}{5}th part of the living room in 1 hour

Let's assume together they paint the living room in x hours

⇒ together they can paint \frac{1}{x}th part of the living room in 1 hour

By proportions,

⇒\frac{1}{2}+\frac{1}{5}= \frac{1}{x} {using operation proportions and addition}

⇒\frac{7}{10}=\frac{1}{x}

⇒x=\frac{10}{7}        

⇒ together they can paint \frac{7}{10}th part of the living room in 1 hour

It means, Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Learn more about paint here:

brainly.com/question/15277377

#SPJ9

6 0
1 year ago
Factor x^2 - 5x - 4x<br><br><br> ..................................................
velikii [3]

Answer:

The factor is: x(x − 9).

7 0
3 years ago
1. Maya is selling bracelets and necklaces she made to make money for summer vacation. The bracelets cost $4 and the necklaces c
miv72 [106K]

Answer:

1. B

2.D

Step-by-step explanation:

x = $80 profit made if sold all carrots.

y = $120 if all tomatoes are sold.

3 0
3 years ago
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