Answer:
[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]
Step-by-step explanation:
[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]
By Rationalizing the denominator:-
[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]
[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]
[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]
[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]
[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]
20 oz.
4. The sum of 2 numbers is 40. The ratio of the bigger to the smaller number is 3:2. What is the smaller
number?
Answer:
16
Step-by-step explanation:
40 = 3:2 x
Then, you know that 3+2 = 5
so, x = 40/5
x=8
Now, you multiply x by 2 to get 16
16
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480. What was the total cost?
The amount of the sales tax and tip is $96 and $24, then the total cost of the dinner will be $600.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480.
Then the cost of the sales tax will be
→ 0.05 × 480 = $24
Then the amount of the tip will be
→ 0.20 × 480 = $96
Then the total cost of the dinner will be
→ $24 + $96 + $480 = $600
More about the percentage link is given below.
https://brainly.com/question/8011401
Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spends, which symbol can be used to complete the inequality below to represent this situation?
18.45 blank 3 + h
>
<
Greater-than-or-equal-to
Less-than-or-equal-to
Answer:
>
Step-by-step explanation:
28.45 >3+hgydnjsjsjjsjkso
Steve leaves the corner of First and Maple on his bicycle and travels an average speed of 9 mi/hr. Two hours later,his brother leaves from First and Maple, following him on a moped traveling 27 mi/hr. How long will it take him to catch up with steve?
Answer:
Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.
Step-by-step explanation:
The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?
a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm
Answer:
12cm
Step-by-step explanation:
h = 2b + 4
Area = 168 cm²
b = ?
Area = b*h / 2
168 = b (2b + 4) / 2
168 = 2b² + 4b/ 2
168 = b² + 2b
b² + 2b - 168 = 0
(b + 14) (b - 12) = 0
b = -14
b = 12
The base of a triangle cannot be -ve. So b = 12cm
evaluate 2/6 + 1/3 + 1/2 = ?
Answer:
2/6 + ⅓ + ½
= (2+2+3)/6
= 7 / 6
= 1⅙
Step-by-step explanation:
brainliest plz
Answer:
1 1/6
Step-by-step explanation:
Find the common denominator for 6, 3, 2
6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.
Convert all the fractions into sixths.
The first fraction is already done.
1/3..... the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.
1/3 x 2/2 = 2/6
1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.
1/2 x 3/3 = 3/6
Now you have
2/6 + 2/6 + 3/6 = 7/6
Simplify the answer
6/6 = 1 so remove 6/6 from 7/6 and you are left with just 1/6
So your answer will be 1 and 1/6 or 1 1/6
need help pleeeeeeeeeease
Answer:
60 square km
Step-by-step explanation:
First, seperate the figure into two as a rectangle and a trapezium by drawing a line from the vertex between the lines which are 8km and 5km long until it reaches the line on the bottom. (11km) Then, find the area of the rectangle by multiplying 8 by 6, which gives an answer of 48 square km. Then, find the area of the trapezium using the equatiuon 1/2 (a+b) h. Here, a and b are the two parallel lines of the trapezium, which are the lines 2km and 6 km long, and h means the perpendicular height which is 3km long (by substracting 8 from 11, you get 3). you get the answer as 12 square km. finally, add up 12 and 48 to get 60 square km.
I need help on this 8th grade math this is due tomorrow.
Answer:
u²=6.25p²=5Step-by-step explanation:
Raise 2.5 to the power of 2 =
6.25
Pull terms out from under the radical, assuming positive real numbers =
5
OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help
Answer:
Step-by-step explanation:
70% or more 70% is most likely a b-
what is 34÷6837 show ur work
Answer:
Step-by-step explanation:
If you're allowed to use a calculator, type in 34, the division symbol, 6837, and finally enter:
34 / 6837 = 0.00497
Answer:
0.00497294135
Step-by-step explanation:
At town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?
Answer:
the answer will be 14708
Answer:
14708
Step-by-step explanation:
Apply the formula:
Amount at time t in years =
(Starting amount)(1 + yearly per cent increase)^(Number of years) =
(13,000)(1 + 2.5%)^5 =
13000(1.025)^5 =
14708.3067676 =
14708, to the nearest whole number.
Pls help me I’m so lost
Answer:
5
Step-by-step explanation:
Find the unit rate for this situation. Please DO NOT use any extra spaces or
symbols. Simply type in the number amount.
Write −1.5⎯⎯ as a mixed number in the simplest form.
Answer:
1 1/2
Step-by-step explanation:
to Express 1.5 as a fraction,we need to write the given decimal number in the x/y form, where c and y are the positive integers
You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you
want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents
the pre-tax price of a pair of pants that you can afford if you buy the drink? *
X + 0.04x + 1.50 > 60
X + 0.04x + 1.50 2 60
X + 0.04x + 1.50 60
X + 0.04x + 1.50 60
Answer:
X + 0.04x + 1.50 > 60
Step-by-step explanation:
helpppppppp plzzzzzzzzzzzzzzzzz (ANSWER ONLY IF YOU KNOW)
Answer:
1/7 ( a+1 )
Step-by-step explanation:
1/7a + 1/7
1/7 ( a+1 )
A cube has an edge length of 21 cm. What is the volume?
o 212 cm3
o 6 x 21 cm
o 213 cm
o 3x21 cm3
Answer:
Step-by-step explanation:
Volume = 21^3 cm^3.
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every
machine he sells. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.
Answer:
$40,000 + $300x
Step-by-step explanation:
If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.
Answer: $40,000 + $300x
Little help, please?
Read the following quote from Mark Twain: "It should, it seems to me, be our pleasure and duty to make those
people free, and let them deal with their own domestic questions in their own way. And so I am an anti-imperialist. I
am opposed to having the eagle put its talons on any other land."
In a short paragraph, reflect on how this quote represents the anti-imperialists' point of view. What is the impact of
Twain's use of the metaphor of the eagle and its talon? Type your response in the box below.
Answer:
Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.
edmentum
Answer:
Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.
Step-by-step explanation:
Use a number line to show your work as you find the value of each expression
a. -5 + 3.25
b.3.18+(-7)
For -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75
Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82
For the expression -5 + 3.25
The number line contains both negative and positive values. negative numbers are to the left of the line while positive values are to the right of the line
For -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75
Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82
Learn more here: https://brainly.com/question/15816805
Please help with showing the points in the table
Answer:
attached
Step-by-step explanation:
Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc
guys pls help me!!!!!
Can you Helppp please
To have infinite solutions both equations need to be equal
Since they subtract 5 from the right side, subtract 5 from the left side.
X is multiplied by 1/2 on the left , so multiply x by 1/2 on the right side.
1/2x -5 = 1/2x-5
plzzzzzzzzzzzzzzzzzzz helppppp
Answer:
15
Step-by-step explanation:
I'm not sure, but find out the coordinates of the two points, and then find the slope between them.
An isosceles triangle is shown. Which two angles must be congruent? A) ∠H ≅ ∠J B) ∠I ≅ ∠J C) ∠I ≅ ∠H D) Cannot be determined
Answer:
If the triangle has a flat bottom and a pointy top the bottom two angles are congruent
explain step by step please and thanks
Answer:
B
Step-by-step explanation:
5(h)=w+8. get rid of 5 by multiply
5h=w+8
w=5h-8
Simple math.
Question 11.
Answer: By 9.1%
Step-by-step explanation:
Answer:
8.3333....
Step-by-step explanation:
275/300=1/12
1/12=0.083333...
0.083333...=8.3333%
What did I do wrong 1st person answer get brainlist
Answer: you got the subtracted wrong.
Step-by-step explanation: 115 - 101 = (14)
you said 13
Amanda can jog 181818 miles in 555 hours.
At this rate, how many miles can Amanda jog in 444 hours?
Answer:
145454.4
Step-by-step explanation:
Divide 181818 by 555, then multiply the answer by 444.
Based on What you learned about economics of organic produce, explain why buying organic food is so expensive
Answer:(:
Step-by-step explanation:
Organic food production is usually more labour and management intensive and happens on a smaller scale ie on smaller farms which lack the benefit of economy of scale.