1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saveliy_v [14]
4 years ago
9

Rationalize the denominator and simplify. StartFraction 5 minus StartRoot 3 EndRoot Over 4 plus 2 StartRoot 3 EndRoot EndFractio

n
Mathematics
1 answer:
nasty-shy [4]4 years ago
5 0

Answer:

\frac{13-7\sqrt{3}}{2}

Step-by-step explanation:

We need to rationalize the denominator of = \frac{5-\sqrt{3}}{4+2\sqrt{3}}. For rationalizing we multiply the equation by \frac{4-2\sqrt{3}}{4-2\sqrt{3}}

So, solving

= \frac{5-\sqrt{3}}{4+2\sqrt{3}}*\frac{4-2\sqrt{3}}{4-2\sqrt{3}} \\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{4+2\sqrt{3}*4-2\sqrt{3}}\\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{(4)^2-(2\sqrt{3})^2}\\= \frac{5(4-2\sqrt{3})-\sqrt{3}(4-2\sqrt{3})}{16-(4*3)}\\=\frac{20-10\sqrt{3}-4\sqrt{3}+2*3}{16-12}\\=\frac{20+6-14\sqrt{3}}{4}\\=\frac{26-14\sqrt{3}}{4}\\= \frac{2(13-7\sqrt{3})}{4}\\=\frac{13-7\sqrt{3}}{2}

You might be interested in
The mean sustained wind velocity, v, can be determined by the equation v = 6.3 StartRoot 1013 minus p EndRoot, where p is the ai
olya-2409 [2.1K]

Answer:

910 millibars

Step-by-step explanation:

According to the Question,

  • Given That, The mean sustained wind velocity equation v=6.3*\sqrt{1013-p} And The mean sustained wind velocity is 64m/s (v=64) . where, p is the air pressure(in millibars).

Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is

64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\

on squaring both sides we get,

(10.1587)² = 1012 - p  ⇒ p = 908.80≈910millibar

p = 910millibars air pressure .

5 0
3 years ago
Read 2 more answers
3x over 10 = 1,290 <br> please help
MAVERICK [17]

3x/10= 1290

Mutiply by 10 for both sides

3x/10*10= 1290*10

Cross out 10 and 10 , divide by 10 and then becomes 3x

3x=12900

divide by 3 for both sides

3x/3= 12900/3

Cross out 3 and 3 , divide by 3 and then becomes x

x= 4300

Answer: x= 4300

8 0
4 years ago
The brain volumes ​(cm cubedcm3​) of 50 brains vary from a low of 922922 cm cubedcm3 to a high of 14961496 cm cubedcm3. use the
vesna_86 [32]
The range rule of thumb is that the range is four times the standard deviation. The range in this case is 922 cubic cm to 1496 cubic cm, i.e., 574 cubic cm.
Therefore, according to the rule, the standard deviation is 574 cubic cm/4 = 
143.5 cubic cm. The actual standard deviation is 161.7 cubic cm. The difference is 161.7 - 143.5 = 18.2. Since this is greater than 15 cubic cm, the rule in this case is not accurate.
4 0
3 years ago
IS this table linear?? Can someone please explain???? What would the weight be if the number of weeks in the fitness program was
boyakko [2]

Answer:

  • not linear
  • somewhere between 184 and 186 (maybe)

Step-by-step explanation:

As you show, the weight differences are different for the same week differences, so the table is not linear. A graph (attached) can also show you the table is not linear.

__

The highest rate of weight loss shown in the table is 7 lbs in 3 weeks, or 4 2/3 pounds in 2 weeks. The lowest rate of weight loss shown in the table is 5 lbs in 3 weeks, or 3 1/3 pounds in 2 weeks. Based on the rates shown in the table, we might expect the starting weight to be between 3 1/3 and 4 2/3 pounds more than the first table value:

  Week 0 weight: between 184 1/3 and 185 2/3 lbs, estimated.

_____

A "line of best fit" for the data has a y-intercept of about 185 pounds, which is the midpoint between our two estimates above.

8 0
4 years ago
Money must serve as ___
Molodets [167]

Money must serve as a medium of exchange, a storehouse of value and a unit of account

Answer: Option B, D, and E

<u>Step-by-step explanation:</u>

Money, the term coined in terms of the following three services.

  • Medium of exchange played as important role to facilitate transactions. Think scenario like without money, then all operations would be exchanged as one product or service exchange for another (barter system).
  • To be in above, money must retain its value over time i.e store of value. Failure to save money for some time and still remain valuable in return would not resolve the double overlap of desires and therefore would not be accepted as a medium of exchange.
  • Money also acts as a units of account and is a regular measure of the cost of goods and service exchanged. Knowing the value of a good or the price in cash, both the supplier and buyer can decide how much to deliver and how much to buy.
6 0
3 years ago
Other questions:
  • If p=28 what does 5p squared - 5p equal?
    9·1 answer
  • Write 2x/3x in simplest form
    13·2 answers
  • Can someone help me with number 5 and 6 please on math ​
    6·1 answer
  • Which statement is false
    11·2 answers
  • What is the value of n in the equation -1/2(2n+4)+6=-9+4(2n+1)
    15·1 answer
  • How do we solve this one​
    5·1 answer
  • HELP ME PLEASEEEE<br> It’s a quiz
    14·1 answer
  • The sum of two numbers is 17 and the difference is 5
    6·2 answers
  • I am super bad with graphs
    11·2 answers
  • Alisha is working
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!