[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the question asks us to rationalise the given expression !
so let's start ~
[tex] \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \\ \\ \implies \: \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \: \times \: \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} } = \frac{(6 - 4 \sqrt{3}) {}^{2} }{6 {}^{2} - 4 \sqrt{3} {}^{2} } \\ \\ \implies \frac{\: 6 {}^{2} + 4 \sqrt{3} {}^{2} - (2 \times 6 \times 4 \sqrt{3} )}{36 - 48} \\ \\ \implies \: \frac{36 + 48 - 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{84 + 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{ \cancel{- 12}(7 - 4 \sqrt{3} )}{ \cancel{ - 12} } \\ \\ \implies \: 7 - 4 \sqrt{3} [/tex]
hope helpful :D
Answer:
-7+4√3.
Step-by-step explanation:
6-4√3 / 6+4√3 Multiply top and bottom by 6-4√3:-
= (6-4√3)( 6-4√3) / (6+4√3)(6- 4√3)
= (36-24√3- 24√3+48) / (36-48)
= (36-48√3+48) / (-12)
= -3 +4√3 - 4
= -7 + 4√3.
please help due today!! I really need this!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Nate - I can't fold my invitation at all. The parts won't match.
Hector - I can fold my invitation more than one way.
Daniel - I can fold my invitation along only a horizontal line.
Micheal - I can fold my invitation along only a vertical line.
please help me solve this
what is the value of (-2)6
with the six as a small number like ³
Answer:
64
Step-by-step explanation:
(-2)^6
6 is an exponent and basically it tells us to multiply the base, -2 by itself 6 times
so (-2)^6 is the same as saying -2 × -2 × -2 × -2 × -2 × -2
-2 × -2 × -2 × -2 × -2 × -2 = 64 so the value of (-2)^6 is 64
How does understanding the history of credit make you think
differently about credit cards and other forms of debt? Please helpppp!!!
Knowing the history of credit cards makes you understand why credit cards were created and the reason they were necessary for human societies.
What is the focus of history?History teaches you about the origin of specific elements, in this case, credit cards, and their evolution over time.
Why is history important?History is about both origin and evolution; due to this:
History explains why credit cards emerged and the reason they were necessary.History shows you the way credit cards have changed or stayed the same due to different causes.Learn more about history in: https://brainly.com/question/3583505
#SPJ1
Which is the expression is equivalent to 27/125
a (3/5)3
b 3/5'3
c (3/4)2
d(3'3/5'5)
Answer:
a
Step-by-step explanation:
(3/5)^3= 27/125
So a is the correct answer
Answer:
Answer option D.
I'm assuming you meant (3/5)'3 for option A.(3/5)^3 also known as (3/5)'3 in your case.If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.
Numerator:
3 cubed(3^3) would result in
= 9
Denominator:
5 cubed(5^3) would result in
= 125
Hence, you'll get 9/125.
So your answer is;
A, (3/5)'3Evaluate.
3^2 + 12 ÷ (6 - 3) x 8
Answer:
38 is your answer :)
Step-by-step explanation:
So what you want to do is P.E.M.D.A.S (parenthesis, exponets, multiplication/division, addition/subtraction) * whatever comes first always do it in order*
3^2+12/ (6-3) x 8
6-3 = 3
3^2+12/(3)*8
3^2+4*8
6+4*8 =32 and 32+6 = 38
X-3/18=12/9 solve for x
Answer:
X= 3/2
Step-by-step explanation:
hope this helps
Tom pays $528.90 for a computer in a sale. The original price had been reduced by 18%. Calculate the original price of the computer
Answer:
624.102
Step-by-step explanation:
pls give brainliest im new and need points
Form NOON to
1:23 A.M. how much time has passed?
Answer:
13 hours and 23 minutesStep-by-step explanation:
We know that:
⇒ When it is noon, the time is 12:00 pm⇒ When it is midnight, the time is 12:00 amTherefore,
The provided time is 1 hour 23 minutes ahead than 12:00 am. It will also take 12 hours for midnight from noon.Thus, we obtained:
⇒ Passed time: 12 hours + 1 hour + 23 minutes⇒ Passed time: 13 hours + 23 minutes⇒ Passed time: 13 hours and 23 minutesHow many quartiles does a data set have?
Answer: Four (4)
Step-by-step explanation:
We have four quartiles. They can be labeled as Q1, Q2, Q3, and Q4. I have attached an example, this comes from mathbitsnotebook.com.
As shown in the example, the quartiles are broken up by the median, and then the median of the medians.
so SU All wealthy people travel by air. Everyone who does not travel by air travels by road. Therefore, poor people always travel by road. Is the argument valid.
Answer:
no, its not because its showing an ad hominem fallacy.
Step-by-step explanation:
brainliest?
Answer:
wealthy people travel by plane
other people travel by road
poor people travel by road
is the argument valid ANS:no
other people who do not travel on plane travel on car
and people who are poor travel on feet
Dominik uses 20 grams of filling for each dumpling he makes. He has 1500 grams of dumpling filling.
Answer:
Step-by-step explanation:
If you are asking how many dumnplings he can make well this is the answer:
1) 1500÷20= 75
So he can make 75 dumplings
What is the volume of the figure below, which is composed of two cubes with side lengths of 7 units?
A.
343 cubic units
B.
686 cubic units
C.
490 cubic units
Answer:
B) 686 cubic units
Step-by-step explanation:
If one cube has a side length of 7, then it equals to 343 cubic units. Since there are 2 cubes, this translates to 686 cubic units.
How many faces does a solid with 8 vertices and 12 edges have?
8
12
6
22
Answer:
6
Step-by-step explanation:
Look at the cube or find one at your house. There are 8 vertices (corners) and 12 edges.
-(-4)(-6)-3/5(10+15) divided by 1/3
Answer:
-117
Step-by-step explanation:
-(-4)(-6)-3/5(10+15)
=4(-6)-3/5(25)
=-24- 15
=-39
-39÷1/3
=-117
helppppppppppppppppp meee
Answer:
Given
Step-by-step explanation:
As I can see, in the question the statement is already given.
If sin p =3/5 and p is an acute angle, what is the value of tan p?
Answer:
sin x + cos x = 5/13 + 12/13
Step-by-step explanation:
Given that tan x = 5/12, what is the value of sin x + cos x?
draw a triangle with opposite leg=3 and hypotenuse=5
tan p = opposite/adjacent = 3/4
similarly, in a 5-12-13 right triangle
sin x + cos x = 5/13 + 12/13
so if yo have 1 hundred and 2 tens +n +1 hundred 4 tens
Answer:
260+n
Step-by-step explanation:
1hundred and 2 tens +n +1 hundred 4 tens
=120+n+140
=260+n
For each figure, find x. Then find the perimeter.
i need help with 9 and 10
Answer:
Step-by-step explanation:
PLEASE HELP ASAP
Geometry Unit 7 Homework 2
1-20
Right Triangles and Trigonometry
Special Right Triangles
Answer:
1. [tex]x=13,\,y=13\sqrt{2}[/tex]
2. [tex]x=y=\frac{30\sqrt{2}}{2}[/tex]
3. [tex]x=6,\,y=3\sqrt{3}[/tex]
4. [tex]x=17\sqrt{3},\,y=17[/tex]
5. [tex]x=y=10[/tex]
6. [tex]x=50,\,y=25[/tex]
7. [tex]x=y=2\sqrt{7}\,\,(\mathrm{because}\,\,\frac{2\sqrt{14}}{\sqrt{2}} = \frac{2\sqrt{2}\sqrt{7}}{\sqrt{2}} = 2\sqrt{7} )[/tex]
8. [tex]y = \frac{24\sqrt{3}}{3} = 8\sqrt{3},\,x = 16\sqrt{3}[/tex]
9. [tex]x = 11\sqrt{3},\,y=11\sqrt{3}\cdot\sqrt{3} = 33[/tex]
10. [tex]y = 2\sqrt{6},\,x = \sqrt{6}\cdot\sqrt{3} = 3\sqrt{2}[/tex]
11. [tex]x = \sqrt{10},\,y=\sqrt{10}*\sqrt{2} = 2\sqrt{5}[/tex]
12. [tex]x = \frac{4\sqrt{21}}{\sqrt{3}} = 4\sqrt{7},\,y=8\sqrt{7}[/tex]
13. [tex]x = 17\sqrt{3},\,z = 34,\,y =34\sqrt{2}[/tex]
14. [tex]x = 27\cdot\frac{2}{\sqrt{3}}=18\sqrt{3},\,h=9\sqrt{3},\,z=9,\,y=18[/tex]
Step-by-step explanation:
Please ask for explanation on specific numbers, as doing it all is a lot of writing. From the parially-written aswers I assume you know the rules for 90-45-45 triangles and 90-60-30 triangles, which are the only ones in the task sheet.
If f(x) = 2x² - 4, find (-5) f(x).
A. -5x²-4
B. 2x²-20
C. -7x²-9
D. -10x² +20
Answer:
D
Step-by-step explanation:
(- 5)f(x)
= - 5(2x² - 4) ← multiply terms in parenthesis by - 5
= - 10x² + 20
30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer choices:
42, 24, 4, 16
Answer: 16
Step-by-step explanation:
What is the slope of the line that passes through the points (8, -6) and (-4,-6)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
→ Find the change in y coordinates
-6 --6 = 0
→ As the change in y is 0, the gradient is 0
Step-by-step explanation:
Here,
(8,-6)=(x1,y1)
(-4,-6)=(x2,y2)
we know, solpe of any line passing throgh (8,-6)&(-4,-6) be
slope(m)=(y2-y1)/(x2-x1)
m={-6-(-6)}/(-4-8)
m=o/-12
m=o
Which inequality best represents the phrase?
A number less then 0
A. n=0
B. n greater than n 0
C. n greater then n with a underscore on the bottom 0
D. n greater than 0 with a underscore 0
Im not sure what it is but my best bet would be on A because the rest of them all say greater than 0 and you are trying to find the least.
Answer:
n < 0
Step-by-step explanation:
Given that:
A number less than 0
Solve:
Since it saying that A number (n) is less than 0 it means it can't be greater.
From the following answer chioce:
[A] n=0
[B] n greater than n 0
[C] n greater then n with a underscore on the bottom 0
[D] n greater than 0 with a underscore 0
We can see that [B], [C], and [D] all saying greater than. While only [A] has a equal sign to 0.
I'm guess that [A] meant to be put as n < 0. Since the other are saying greater than. But if not. None of the above are correct.
< → less than
> → greater than
A number less than 0 ⇒ n < 0
Kavinsky
The radius of a circle is 5.9 centimeters. Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth.
Answer:
the answer is 18.53.... hope this helps
Step-by-step explanation:
how you find the area of a circle is the radius times pi which pi is 3.14
Pls help quick i need it soon
Answer:
Area = 32m^2q
Step-by-step explanation:
Area = bh
Area = 8mq · 4m
Area = 32m^2q
express 194720 in standard form correct to 3 significant figures
Answer:
1.95 x 10^5
Step-by-step explanation:
First look at the 4th digit in the number 194720 as the the question said to round to 3 significant figures. If the 4th digit is more than 5, then add 1 to the third digit which results in 195000. Now the question also said to express in standard form. Look for the first non-digit number in 195000. After 1 put a decimal point and remove all the zeros after the point which results in 1.95. Now count how many digits you moved to the left which comes as 5. Write the answer as 1.95 x 10^5.
Hope you can understand this!!
The probability of an event is P(A) = 0.05 What is the complement of P(A)?
Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically:
Probability = expected outcome/total outcome
Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:
P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95
Hence the complement of the probability will be 0.95
Learn more on probability here: https://brainly.com/question/24756209
Please help me with this math problem!! Will give brainliest if correct!! :)
Answer:
2.98
Step-by-step explanation:
Tan(40) = 2.5/x
x = 2.5/Tan(40)
x = 2.98
will give brainlist I'm not going to waste my time in this multiple question
Answer:
What's the question?
Step-by-step explanation:
You haven't shown me a question.
Answer:
The answer is A.[tex]98\beta \pi[/tex]
Step-by-step explanation:
Take the transactions of the polynomials and apply the quadratic formula.