Answer:
it is 5
Step-by-step explanation:
.......................
Answer:
5
Step-by-step explanation:
The ratio is 1:2 with two the vertical length.
Please help!
If we write [tex]\sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}[/tex] in the form [tex]\frac{a \sqrt{2} + b \sqrt{3}}{c}[/tex], such that [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are positive integers and [tex]c[/tex] is as small as possible, then what is [tex]a+b+c[/tex]?
Answer:
[tex]a+b+c=9+8+6=23[/tex]
Step-by-step explanation:
Let’s first simplify our expression. We have:
[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]
For the second term, multiply both the numerator and denominator by √2. This yields:
[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:
[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
Hence, our expression is now:
[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]
Let’s combine them. First, we will need common denominators.
Our denominators are 2 and 3. So, our common denominator will be its LCM.
The LCM of 2 and 3 is 6.
Hence, let’s make each term’s denominator 6.
For the first term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]
For the second term, we can multiply both layers by 3. Hence:
[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]
For the third term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]
And for the last term, we can multiply both layers by 2. Hence:
[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]
So, our expression is:
[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]
Add:
[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]
Combine like terms:
[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]
This cannot be simplified. So, c is as small as possible.
Hence: a=9, b=8, and c=6.
Therefore:
[tex]a+b+c=9+8+6=23[/tex]
Someone please help me! Studying for finals and don’t understand how to complete problems like this! Thank you!
Answer:
(d). [tex]\frac{152}{377}[/tex]
Step-by-step explanation:
sin² β + cos² β = 1
cos (α + β) = cos α cos β - sin α sin β
cos α = √(1 - [tex]\frac{400}{841}[/tex] ) = 21 / 29
cos β = 12 / 13
sin β = √(1 - [tex]\frac{144}{169}[/tex] ) = 5 / 13
sin α = 20 / 29
cos (α + β) = [tex]\frac{21}{29}[/tex] × [tex]\frac{12}{13}[/tex] - [tex]\frac{20}{29}[/tex] × [tex]\frac{5}{13}[/tex] = [tex]\frac{152}{377}[/tex]
2x + 4 =what is the answer?
Answer:
2(x + 2 )
Step-by-step explanation:
Look at the figure, . Find the length of . 36 m 42 m 106 m 78 m
the awnser is
4.0/5. 7. calculista
*15 points* any help would be appreciated plz
Answer:
70 degrees because all of the angles in a triangle add up to 180 degrees150 degrees because the adjacent angle is 30 degrees110 degrees because the adjacent angle is 70 degrees50 degrees because angle 5 would also have to be 50 in order for all of the angles on that line to be 180 degreesStep-by-step explanation:
I hope this helps!!!!
PLEASE HELP !!!
Help me simplify this expression.
Answer:
256x^2
Step-by-step explanation:
Write an expression
Your cellphone costs $0.50 for the first minute and $0.35 for
each additional minute.
Answer:
0.50+0.35x
Step-by-step explanation:
Answer:
0.5+0.35m
Step-by-step explanation:
THE VOLLEYBALL TEAM WON 80% OF THE GAMES THEY PLAYED THIS SEASON. THE
TEAMPLAYED A TOTAL OF 25 GAMES. how many games the volleyball team won
Answer:
20 games won
Step-by-step explanation:
duh
will give brainliest!!
Evaluate each expression when
a = 3 and b = 8.
Order the results from least to greatest.
5a - 6
b/2 + 4
ab - 17
6/a + b/4
b+1/a
a+1/4b
Answer :
a + 1/4b
6/a + b/4
ab- 17
b/2 + 4
b + 1/a
5a - 6
Step-by-step explanation:
5a - 6 = 9
b/2 + 4 = 8
ab - 17 = 7
6/a + b/4 = 4
b + 1/a = 8.5
a + 1/4b = 3.03125
share £80 in the ratio 1:3:4
Answer:
£10, £30, £40
Step-by-step explanation:
Divide the share by the sum of the numbers in the ratio.
1 + 3 + 4 = 8
80 / 8 = 10
Multiply each number in the ratio by 10 to find the value of each share.
1 × 10 = 10
3 × 10 = 30
4 × 10 = 40
Answer:
Step-by-step explanation:
total ratio=1+3+4
=8
first part
1/8x 80euros=10euros
second part
3/8 x 80euros=3x10euros
=30euros
third part
4/8x80euros=4x 10 euros
=40euros
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Mariana and Russell both went bowling last weekend, but not together. Mariana went during
open bowling time, paying $10 for shoe rental and $1 per hour. Russell went on family night,
when each hour was $2 and shoe rental was $3. As it turned out, they played for the same
number of hours and spent the same amount. How much did each one spend? How many
hours did each one bowl?
Mariana and Russell each spent $
and bowled for
hours.
Answer:
16
m=10 per hour=1
Step-by-step explanation:
What is the solution to y=-7+13 and y=-1
y=12
I'm sorry if I'm wrong
What is the y-intercept?
4
Answer:
A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)
Step-by-step explanation:
At a grand-opening sale, 20% of the first 500 customers won a prize. How many of the first 500 customers won a prize? A50 B100 C200 D1,000
Answer:The Answer is ________ Please Make sure You Put it In and Trust Have a wonderful day/Night:)
Step-by-step explanation:
Answer:
100.
Step-by-step explanation:
500/10=50 =10%
50 x 2 = 100 = 20%
I hope this helps :D
Two friends argue over who brushes their teeth more often.
Who is more likely to brush both morning and evening? Assume all events are independent.
Multiple choice answers in picture below
Answer:
arabella so b
Step-by-step explanation:
its kinda simple really
plzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppp
Answer:
[tex](-7_{s})^3[/tex]= -343s
Step-by-step explanation:
WHO KNOWS ALGEBRA 2 AND WANNA MAKE 30$
Answer:me please
Step-by-step explanation:
Answer:
I can try to help you for free but you didnt
post a question.
Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.
Answer:
Yes it is,
Step-by-step explanation:
Degree 1 (Exp 1) and it has 2 elements (2X and 1)
Find the volume of this prism.
Please help!! And explain <3
(9×6/2) × 12 = 324
Explination:
The easiest way to understand what you're doing is to find the area of the base first, then extend it upwards to find the volume using height. Hence the equation: b×h=v
So how do we find the base of a triange? Remember that every single triangle can be calculated as a square, then cut in half. So 9 × 6 / 2 = 27 cm2
The next step is to calculate the volume using the height of the figure. 27 × 12 = 324 cm3
**remember to use the correct units, since area and volume are different.
Please help! I am struggling to understand this!
Answer:
x = 56°
Step-by-step explanation:
cos(x) = adjacent/hypotenuse
cos(x) = 5/9
x = [tex]cos^{-1}[/tex](5/9)
x = 56.25°
WILL GIVE BRAINLIEST!!!!!!!
Write a quadratic equation with –6 and 5 as its roots.
While there are many quadratic equations using -6 and 5 as roots, the most simple would be the basic (x+6)(x-5)=0, or simplified, x² + x - 30 = 0.
Using these roots, all you have to do is make both sides of the equation and even both sides of the multiplied pre-product to equal 0. If using this format, x has to be equal to -6, and 5.
PLEASE HELP WILL GIVE BRAINLIEST !! :)
Answer:
69
Step-by-step explanation:
Because in 3x+15 x=18 and 3*18+15=69
someone solve this quick please
Answer: 2n^2+3n-4
1st differnce is 3, 7, 11, 15
2nd differnce is 4
so its 2n^2
we compare it to teh 2n^2 sequence
2 8 18 32 50
-1 2 9 20 35
difference is 3, 6, 9, 12,15
so it is 3n-4
A bank charges a monthly fee if the average monthly balance of your account is less than $4000. The table shows the balance of your account the first four months it is open. Find the average monthly balance of your account after the fourth month. Do you have to pay the fee after the fourth month?
Please help me.
Answer:
where is the table??? pls send it
Alice backyard has 6.25 by 6.25m patio she would like to build a 1.5 M wide extension around three sides of the patio as the figure shows you will by 0.25 by 0.25 M tiles that come 25 tour package how many packages does Ellis need to buy in The extension
Answer:
To find the area of the extension, I'm going to find the total area (patio and extension) and subtract the patio.
Total area: length = 1.5 + 6.25 + 1.5 = 9.25 height = 1.5 + 6.25 = 7.75
Total Area = 9.25 x 7.75 = 71.6875
Area of the patio = 6.25 x 6.25 = 39.0625
Area of the extension = Total Area - Area of the patio = 71.6875 - 39.0625 = 32.625
Area covered by one box of tiles: 25 x 0.25 x 0.25 = 1.5625
Number of boxes needed: 32.625 / 1.5625 = 20.88 = 21 boxes
Step-by-step explanation:
Laundry use the function in the table a the the right
school and eat breakfast, and a 60% chance that she will be late for school or eat breakfast. What
is the probability that Elaine will eat breakfast
kenya found that 6 out of 9 students in her class have sports practice today. Based on the results , how many of the 270 students in the school have practice today
Two trapezoids below are similar what is the length of RS?
9514 1404 393
Answer:
11.5 m
Step-by-step explanation:
The fact that the figures are similar means the side lengths are proportional:
RS/QT = BC/AD
RS/(7 m) = (2.3 m)/(1.4 m)
RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m
RS = 11.5 m
Which of the following is a solution for 5 - 2x ≤ -3?
A. -4
B. 4
C. 1
D. -1
Answer: B
It's X [tex]\geq[/tex] 4
