Answers
Answer:
[tex]\frac{20}{13}[/tex] + [tex]\frac{5}{13}[/tex] [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{4-\sqrt{3} }[/tex]
To rationalise the denominator, multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of 4 - [tex]\sqrt{3}[/tex] is 4 + [tex]\sqrt{3}[/tex]
= [tex]\frac{5(4+\sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3}) }[/tex]
= [tex]\frac{20+5\sqrt{3} }{16-3}[/tex]
= [tex]\frac{20+5\sqrt{3} }{13}[/tex]
= [tex]\frac{20}{13}[/tex] + [tex]\frac{5}{13}[/tex] [tex]\sqrt{3}[/tex]
Related Questions
Find the missing length indicated?
Answers
Answer:
D. 15
Step-by-step explanation:
Let the missing length be represented as x.
Thus:
(24 - x)/12 = x/20 => angle bisector theorem
Cross multiply
20(24 - x) = x(12)
480 - 20x = 12x
480 - 20x + 20x = 12x + 20x
480 = 32x
480/32 = 32x/32
15 = x
Missing length = x = 15
b divided by 8 equals 21
Answers
Answer:
what
Step-by-step explanation:
Answer:
b = 168
Step-by-step explanation:
8* 21 = 168
Which table of ordered pairs represents a proportional relationship
Answers
Rosnah gave 3/5 of a sum of money to her parents and divided
the remainder equally among her 4 brothers. Her parents
received $240. How much did each of Rosnah's brothers receive?
Answers
Answer:
$36 each
Step-by-step explanation:
240÷5=48
48x3=144
144÷3=36
Factor the polynomial: 8x^2 - 24x + 18
Answers
Y=-2x^2-12x+6
What are the points
Answers
Answer: Here ya go.
Step-by-step explanation:
choose all that are correct.
1. Random samples from the same population will vary from sample to sample.
2. as the sample size increases, the sample distribution more closely resembles the population distribution.
3. vallues of a sample statistic of different random samples of the same size from the same population will be the same
4. if a random sample is chosen from a population with a large cluster of points at the maixmum, the sample is likely to have at least one element neat the maximum
Answers
Answer:
ennenennenenenenenennnnnnnnnnnnn nn
Answer: the answer is 1, 2, and 4
Step-by-step explanation:
I know this cause my teacher told me
What do you do if a variable does not cancel out?
Answers
I NEED HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2.1
Step-by-step explanation:
What is £21,067 divided by 12 to 2 decimal places
Answers
Giving brainliest , easy question :)
Answers
Answer:
cos y deg= b/beta
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPP ME plz
Answers
Answer:
the answer is 1 or if you need a fraction 6/6
Step-by-step explanation:
HELP ME PLS I NEED HELP FOR THIS QUIZZ!!!
Answers
Good luck hope this helps you
1) Alexa won 80 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends.
She only has 8 remaining. How many friends does she have? 2) Jane spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $20. What is
her weekly allowance if she ended with $32? 3) 229 students went on a field trip. Six buses were filled and 5 students traveled in cars. How many students were in each bus?
Answers
Answer:1 is 36 friends. 2 is $24 as her weekly allowance. 3 is 37 students on each bus
Step-by-step explanation:1. 80-8 because 8 is the amount she has left. You would get 76 which is the amount she gave away. Then you divide 76 by 2 because she gave 2 balls to 1 friend. Then you get the amount of friends she has.
2. When we read the problem it says she spent half of her allowance on mini golf. The half is very important. She earns $20 from cleaning her parent’s car and ends up with $32 all you do is subtract the $20 from $32 because it’ll leave you with 1/2 the money she began with (32-20=12). Then she she already spent half of the money you can either add 12 or multiply the 12 by 2 to get your answer (12+12=24 or 12•2=24).
3.(229-5) you’re subtracting 5 from the 229 students because 5 of them traveled in car. Then you do 224 students divided by 6 buses and you should get 37 students per bus.
What is the slope of the line?
Answers
Answer:
3/4
Step-by-step explanation:
Solve and graph 12-3a>18a
Answers
Answer:
a = 0.57
Step-by-step explanation:
12 - 3a > 18a
+3a +3a
12 > 21a
divide by 21
a = 0.57
Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D
-Lil G
Divide. Give the exact answer, written as a decimal. 0.4) 399
Answers
Answer:
0.001002506
Step-by-step explanation:
:) hehe oml word limitttt
Answer:
997.5 if you mean 399 divided by 0.4
0.00100250626 if you mean 0.4 divided by 399
Step-by-step explanation:
Please help me if you are good at geometry! Thank you.
Answers
Ans:
TV = QS
Step-by-step explanation:
Because TV are parallel to QS
so TV is equals to QS
Answer:
1. angle PRS and angle VUW are supplementary - Given
2.m(angle PRS) + m(angle VUW) = 180. - Definition of supplementary angles
3. m(angle PRS) + m(angle SRU) = 180. - Angles forming a linear pair sum to 180 degrees.
4. m(angle PRS) + m(angle VUW) = m(angle PRS)
+ m (angle SRU) - Algebra
5. m(angle VUW) = m( angle SRU) - Transitive property of equality
6. Line TV || Line QS. - Converse of Corresponding Angles Postulate
What is the slope line ?
Answers
Answer:
-3.....
have a nice day
Answer:
Step-by-step explanation:
The slope of a line can be found with any two points from the line. Formally, slope, m, is defined as
m=(y2-y1)/(x2-x1), I’ll use points (1,4) and (4,-4) so
m=(-4-4)/(4-1)
m=-8/3
Priya bought two plants for a science experiment. When she brought them home, the first plant was 5 cm tall and the second plant was 4 cm. Since then, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week. Priya represents this situation with the equation 5+0.5w=4+0.75w, where w represents the end of week w. What does the solution to this equation, w=4 represent in this situation?
Answers
Answer:
7
Step-by-step explanation:
5+0.5x4=4+0.75x4
5+2=4+0.75x4
7=4+3
7=7
Please help me with 1 to 10 and show me how you get it
Answers
So you would rewrite the equation as
3•3 + 5 which is 14. i hope this helped..
What is the measure of each angle in a pentagon if the lengths of all five sides are equal?
A. 180
B. 120
C. 108
D. 60
Answers
Answer:
C (108)
Step-by-step explanation:
Angles in a pentagon must add up to 540 degrees.
All sides equal mean all angles are equal
so all you must do is divide 540 by 5, which gets you to 108.
You can use inverse operations to check the work
108 x 5 = 540
17 = 4x - 3
A. X = 5
B. X = 17
C. X = 10
D. X = -5
Answers
Answer:
D. = 5
Have a great day! Hope this helped!
x-2/x+4 = x-3/x+1 Find 5he answer
Answers
Answer:
Find the LCD of the terms in the equation. x
Multiply each term by x and simplify.
x²−2+4x=x²−3+x
Solve the equation.
x=−1/3
Step-by-step explanation:
Need help ASAP! Due soon please -15 points and brainliest
Answers
Answer:
Answer D
Step-by-step explanation:
Solve x/-4-(-8)=12
Is the Answer -80, 80, 16 or -16
Answers
whats yall zodiac signss ima pisces also dont report me thx <3
Answers
Answer:
I'm gemini
Step-by-step explanation:
I won't report u cause I need these points
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Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 14 hours and traveled 840 miles. At what rate did he travel on the first day, in miles per hour?
A.
60 miles per hour
B.
63 miles per hour
C.
58 miles per hour
D.
62 miles per hour
Answers
Answer:
A
Step-by-step explanation:
He traveled at a rate of 60MPH
Anyone know any of these for math?
Answers
I have attached my work and the rules of exponents
ill mark brainlist plss help
Answers
We will start by multiply both sides by 24 so we can cancel out the 24 on the left and get x by itself
Now we have
x = (9/72)*24
we can first multiply 24 by 9 to get 216
Now we have
x = 216/72
216 divided by 72 will get us 3
x = 3