Answer:24
Step-by-step explanation:
Rationalize the denominator and simplify 6/√2-√3
Answer:
Step-by-step explanation:
[tex]\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }[/tex]
[tex]\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}[/tex]
[tex]-6(\sqrt{2} + \sqrt{3} )[/tex]
The fraction after rationalizing the denominator is given by the equation
A = -6 ( √2 + √3 )
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the value of A is
A = 6 / ( √2 - √ 3 ) be equation (1)
Now , on simplifying the equation , we get
To rationalize the denominator of the fraction ,
Multiply the denominator by its conjugate ,
So , the conjugate of ( √2 - √ 3 ) = ( √2 + √ 3 )
Multiplying the numerator and denominator of the fraction by ( √2 + √ 3 )
A x ( √2 + √ 3 ) / ( √2 + √ 3 )
Substituting the values in the equation , we get
[ 6 / ( √2 - √ 3 ) ] x ( √2 + √ 3 ) / ( √2 + √ 3 )
On simplifying the equation , we get
6 ( √2 + √ 3 ) / ( 2² - 3² )
So , the value of A is A = 6 ( √2 + √ 3 ) / ( -1 )
A = -6 ( √2 + √ 3 )
Therefore , the value of A is A = -6 ( √2 + √ 3 )
Hence , the equation A = -6 ( √2 + √ 3 )
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A scale drawing has a scale is 1 inch up 8 feet. The actual length of the object shown is 42 feet. Find it’s length on the drawing.
Answer:
5.25 inches
Step-by-step explanation:
Mikiyah invested $2,500 in a simple interest account for 2 years.At the end of the years she has earned $75 in interested.What was the simple interest rate of this account?
Answer:
1.5%
Step-by-step explanation:
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find .
(b) Find .
Answer:
Step-by-step explanation:
The question with the options are in the picture ^ plz and thank you
Answer:
A 90
Step-by-step explanation:
Which expression is equivalent to 3(x - 2)+2x?
-X
3x
5x - 2
5X-6
Answer:
D
Step-by-step explanation:
3(x-2)+2x=3x+2x-6=5x-6
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 85 miles per hour. How long will it take for the two trains to be 384 miles apart?
Do not do any rounding.
Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
HELP ME WALLAHI BRO HELEP PLS MASHALLAH HABIBI
Answer:
first one answer is 4 second one answer is 0
Answer:
8.9
Step-by-step explanation:
Distance Equation Solution:
d=(7−3)2+(6−(−2))2−−−−−−−−−−−−−−−−−−√
d=(4)2+(8)2−−−−−−−−−√
d=16+64−−−−−−√
d=8–√0
d=8.9
Hope this helps you!
please help asap no trolls will give brainliest!!!
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)
The table shows the toothbrush production rate of One machine. Toothbrush Production Minutes 2 4 6 8 10 Toothbrushes 140 280 | 420 | 560 700 Which of these describes the production rate per minute? 30 toothbrushes 50 toothbrushes 70 toothbrushes d 140 toothbrushes
9514 1404 393
Answer:
c) 70 toothbrushes per minute
Step-by-step explanation:
The table tells you that production is 140 toothbrushes in 2 minutes. Dividing toothbrushes by minutes gives you the "per minute" value:
(140 toothbrushes)/(2 minutes) = (140/2) toothbrushes/minute
= 70 toothbrushes/minute
can i have help please
Answer:
A
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
x=12 Proportion should be 1 2/3
Step-by-step explanation:
To find PT, subtract 26 from 65= 39
26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3
30/(4x-3)=2/3 (Cross Multiply)
30*3=90
2(4x-3)=8x-6
8x-6=90 (Add 6 to both sides)
8x=96 (Divide 8 from both sides)
x=12
QT is equal to 4(12)-3=45
RT is 75
Proportion: 65/39=1 2/3
75/45=1 2/3
The diameter of the circle above is 20 cm. What is the circumference of the circle? (Use = 3.14.)
Step-by-step explanation:
diameter=20/2,radius=10
circumference of circle=2×pi×radius
circumference of circle=2×3.14×10
circumference of circle=62.8
Will give brainlist
The radius of a circle is 40 miles. What is the angle measure of an arc 9pi miles long?
Answer:
40.5°
Step-by-step explanation:
So this problem is a ratio setup. First, you have to calculate the total circumference of the circle using the following formula:
c = 2πr
Where c is the circumference, and r is the radius of the circle. Therefore:
c = 2π(40)
Simplify:
c = 80π
Now if the arc is 9π miles long, then it's a fraction of the whole circle, which is 360° . We can set this up as follows:
[tex]\frac{9\pi }{80\pi }[/tex] = [tex]\frac{x}{360}[/tex]
Now if we cross-multiply to solve for x:
(9)(π)(360) = (80)(π)(x)
When simplified dividing by 10π :
9*36 = 8x
Simplfy.
324 = 8x
Solve for x.
x = 40.5
how many eighths make a quarter
Answer:
Two Eighths
Step-by-step explanation:
One eighth is one part of eight equal sections. Two eighths is one quarter
In an hyperbola, the fixed points that have a constant difference in distance from the center are called _
A. Asymptotes
B. Centers
C. Foci
D. Vertices
Please select the best answer from the choices provided
OA
OB
OC
OD
The correct answer is C. Foci.
A hyperbola is defined as the flat open curve resulting from the intersection of a right circular cone from a plane not parallel to any of its origins. The line joining the foci of the hyperbola is called the base line.
The perpendicular to the middle of the baseline is called the center line. It becomes apparent that all points of the center line are equidistant from the foci.
Learn more in https://brainly.com/question/15697124
-44 x -44 × -44 × -44 =
Answer:
3748096
Step-by-step explanation:
A chocolate chip cookie recipe calls for 2 cups of chocolate chips for every 3 cups of flour. How much flour would you use if you only had 1 cup of chocolate chips?
Answer:
you would use 1.5 cups of flour
can someone explain this to me?? so im trying to find the scale factor of quadrilateral I to quadrilateral II and the answer is 1/2 but how does that make sense if quadrilateral I is smaller than Quad II? if we were to use the scale factor wouldnt it just divide our side lengths in half?
Answer:
the scale factor is 1/2 you are right and that is credible as the larger cd is 20 and smaller bc 10 which make out that it is half of the other Quad and the marking on the edge makes clear us that it is equal whatever the drawing is.
Step-by-step explanation:
BC=2CD
10x=20
x=10/20
x=1/2
if u want to find the other angle then it is 2 times of the smaller quad that will be:
AG=FE
15=2(15)=30
AB=ED
9=2(9)=18
GC=FC
13=2(13)=26
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
HEEEEELP ME ILL DOOOO ANYTHING PLEEEEASE
Answer:
The miles travelled is the independent variable.
The cost is the dependent variable.
Step-by-step explanation:
hope this helps ;)
Consider the following functions.
f(x) = 3/x, g(x) = x/(x + 3)
Find
(f ∘ g)(x).
Find the domain of
(f ∘ g)(x).
(Enter your answer using interval notation.)
Find
(g ∘ f)(x).
Find the domain of
(g ∘ f)(x).
(Enter your answer using interval notation.)
Find
(f ∘ f)(x).
Find the domain of
(f ∘ f)(x).
(Enter your answer using interval notation.)
Find
(g ∘ g)(x).
Find the domain of
(g ∘ g)(x).
(Enter your answer using interval notation.)
Answer:
umm
Step-by-step explanation:
Sarah has 23 apples she divides them into 15 places what is the fraction of the apples she has left?
Marge drove 220 miles at an average speed of 55 miles per hour. How many hours did it take her to drive that far? Oh
Answer:
4 hours
Step-by-step explanation:
220/ 55 = 4
An artist painted a group of 40 pictures. For every 8 pictures using light colors, the artist painted 2 using dark colors. How many pictures
were painted with light colors?
32 I think is the anwser
1/2(6y-8)-(12y-16)+7
Answer:
-9y + 19
Hope that helps.
Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on the most recent math test, how many points did he earn on the previous test?
Question 16 options:
s ≤ 60
s 60
s ≥ 60
9514 1404 393
Answer:
s ≥ 60
Step-by-step explanation:
If Scott earned 20 points more on this test, then he earned 20 points less on the last test. 20 points less than "at least 80" is "at least 60."
s ≥ 60
Write an equation in slope-intercept form:
y-5= 3(x-4
Answer:
Y = 3x -7 is your answer hope I helped
Step-by-step explanation:
The probability of Andy passing his driving test
is 30%.
What is the probability that he fails?
Answer:
70%
Step-by-step explanation:
100% - 30% = 70%
4x+8≥5(3-x)
solve with steps pleaseee!
Answer:
[tex]x >\ or\ =\ \frac{7}{9}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\4x+8>\ or =\ 5(3-x)\\Hence,\\We\ can\ treat\ inequality\ in\ the\ same\ way\ we\ do\ for\ solving\ equalities.\\Hence,\\4x+8>\ or\ =\ 5(3-x)\\By\ simplifying\ the\ RHS,\\4x+8 >\ or\ =\ 15-5x\\Hence,\\Adding\ (+5x)\ to\ the\ LHS\ and\ RHS,\\4x+8+(5x) >\ or\ =\ 15-5x+(5x)\\Simplifying,\\5x+4x+8 >\ or\ =\ 15+(5x-5x)\\9x+8 >\ or\ =\ 15\\Adding\ (-8)\ to\ both\ LHS\ and\ RHS,\\9x+8+(-8) >\ or\ =\ 15+(-8)\\Simplifying,\\9x+(8-8) >\ or\ =\ 7\\[/tex]
[tex]9x >\ or\ =7\\x >\ or\ =\ \frac{7}{9}[/tex]
Step-by-step explanation:
4x+8≥5(3-x)
4x+8≥15-5x
adding 5x on each term
4x+5x+8≥15-5x+5x
9x+8≥15
subtract each term by 8
9x+8-8≥15-8
9x≥7
dividing each term by 9
9x/9=7/9
x≥7/9
is your answer
josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The dried cranberries weight 8.5 ounces and cost $0.30 per ounce. The dried bananas weigh 10.5 ounces and cost $0.20 per ounce. How much does josie spend on the dried food
Answer:yes
Step-by-step explanation: