Please find the answer , it is a very importatnt question
Step-by-step explanation:
The given expression is :
[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}=\sqrt5 x+y[/tex] ....(1)
Taking LHS of the above expression
[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}[/tex]
Rationalizing both denominator and numerator.
[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}\times \dfrac{2-3\sqrt5}{2-3\sqrt5}=\dfrac{4-6\sqrt5-2\sqrt5+15}{2^2-(3\sqrt5)^2}\\\\=\dfrac{19-8\sqrt5}{4-45}\\\\=\dfrac{19-8\sqrt5}{-41}\\\\=\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})[/tex]
Equation (1) becomes,
[tex]\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})=\sqrt 5\ x+y[/tex]
Equating both sides,
[tex]x=\dfrac{8}{41}[/tex] and [tex]y=\dfrac{-19}{41}[/tex]
Hence, this is the required solution.
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
Find C(.07)
C(.07)=30x+5
During the first two weeks at his new job Damian earned a total of $500 he earned x dollars during the first week during the second week he earned 4 times as much as he did the first week. How much did Damian earn during the first week
Answer:
$100
Step-by-step explanation:
x + 4x = 500
5x = 500
x = 100
Louis will spend $755.00 on a new kitchen sink. He will use his credit card to withdraw
$800 cash to pay for the sink. The credit card company charges 4% interest on the
borrowed amount. How much will Louis owe?
$332
Answer:
332$?
Step-by-step explanation:
Can anyone help me with this math please I will give brainlist
Answer:
4.5 > 4.420
0.67 < 0.8
0.82 = 0.820
62.4 > 6.24
0.13, 0.3, 0.303, 0.32
0.08, 0.8, 0.82, 8.2
24.54, 24.4, 24.304, 24.24
6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
The most useful way to compare fractions is to add extra zeros at the end.
For example, 0.67 ___ 0.80.
0.80 is obviously bigger than 0.67.
In 24.4, 24.54, 24.304, 24.24, you can add extra zeros as well.
24.400, 24.540, 24.304, 24.240 (This makes it much easier to group the numbers, whether from largest to smallest or smallest to larger).
**REMEMBER TO REMOVE THOSE ZEROS AFTER FINDING YOUR FINAL ANSWER**
210 is what percent of 500?
Answer:
42
hope this answer helps you!
Point c has the coordinate -7 and d has the coordinate 6 on a number line. What is the distance between c and d
Answer:
7
Step-by-step explanation:
can anyone help me with these homework pages please i need them asap, thanks
Answer:
1. reflection
2. translation
3. rotation
4. dilation (enlargement)
5. dilation (reduction)
6. rotation
7. reflection
simplify 3/x-1 + 1/x-2
Answer:
4-3x over x or 4-3x/x
I'm not sure. but I hope it can help you:))
A television newscaster from a 24-hour news station wants to estimate the number of hours per day its viewers watch
programming on this channel
. The neviscaster randomly selects 100 viewers and asks them how many hours per day
they watch this station. The newscaster constructs an 85% confidence interval for the true mean number of hours
viewers watch this station. Which of the following would decrease the margin of error?
Answer:
This isn't the best worded question but from what I understand a larger sample size decreases the margin of error. If he would like a more accurate answer a larger sample size of the viewers will give more accurate answers.
Step-by-step explanation:
elp pls I need elp pls pls
Answer:
I think the answer is A if its not im sorry
Step-by-step explanation:
be smart and help me please i can’t fail again i will give branliest
Answer:
28%
Step-by-step explanation:
12+34+7=2856
Then, 2856/100 to get the percentage.
Reasoning How could you write, as a percent
without dividing?
Vickie and Amy made $23.10 together selling cookies. Vickie made twice as much as Amy. How much did Vickie make? PLSS Help! giving brainliest!!
Answer:
amy made 5.775 while vickie made 17.325
Step-by-step explanation:
i dunno
1/2x+3y=4 for x when y=6
Answer:
are you looking for the substiution
Step-by-step explanation:
Please help me find the volume of these figures. (Geometry)
Answer:
45.) 49.) V=LBH
Step-by-step explanation:
V= 15
5*3*1=15
V= 891
11*9*9
If x = 15 units and h = 4 units, then what is the area of the triangle shown above?
A. 8 square units
B. 30 square units
C. 60 square units
D. 90 square units
Answer: B. 30 square units
Step-by-step explanation:
Area of triangle formula is base x height divided by 2 so we do 15 * 4 = 60/2 = 30 units
Using Angle Relationships to Solve Equations
Answer:
8. x=19
9. 42
10. 23
Step-by-step explanation:
8.
x+x+4+3x-9 =90
5x-5=90
x= 19
9.
x=19
x+4= 23
19+23=42
10.
x+4=23
Which data set could be represented by the box plot shown below?
I will mark brainliest!
Answer:
0,1,2,3,4,5,6,7,8,9,10,11
Step-by-step explanation:
starts at 0 and ends at 11
(i think)
1/2x^2-x-4=0 (PLEASE GIVE REAL ANSWER)
Find the Axis of Symmetry and Vertex and Solutions. Show work.
Can you please help!!
Farmers have learned how to grow watermelons
in the shape shown at the right. What
three-dimensional figure is the watermelon?
Answer:
it looks like a cube to me lol
Which is a perfect square?
6^1
6^2
6^3
6^4
Should be 6^3.
Have a good day!
Round to the nearest tenth
1. Find x.
Answer:
x= 25.5 not rounded x=25.51393657
Step-by-step explanation:
Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.
tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5
I need a answer fast pls help
Answer:
2.5
Step-by-step explanation:
The radius is any line from the middle of the circle to the end of the circle. The diameter is a chord which is a line going from any end of the circle to the other end but the diameter crosses though the point which is in the middle.
So, you split the diameter in half. 5/2 = 2.5
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Answer:
x ≤ 1/3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
distribute the 5, combine the x, add 10 to -8 to get 2 and finally 6x < 2A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If Alonso grabs the ladder at its base and pulls it 5 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 25 ft.) Round to the nearest tenth of a foot.
Answer:
21.8
Step-by-step explanation:
The distance for the side of the house will the ladder reach now should be considered as the 21.8 ft.
Calculation of the distance;Since first we have to determine BC i.e.
[tex]= \sqrt{50^2 - 30^2} \\\\= \sqrt{1600}[/tex]
= 40 ft
Now
In the case when Alonso grabs the ladder at its base and pulls it 5 feet farther from the house
So,
[tex]= \sqrt{(50)^2 - (45)^2} \\\\= \sqrt{475} \\\\= 5 \sqrt 19[/tex]
= 21.8 ft.
Learn more about base here: https://brainly.com/question/23854119
Liah randomly selected 25% of the seventh-grade students in her school and asked
them their favorite season. Of the students surveyed, 53 chose summer as their
favorite season. Based on the data, what is the most reasonable prediction of the
number of seventh-grade students in her school who would choose summer as their
favorite season?
Answer:
212
Step by Step Explanation:
out of 1/4 of the school, 53 chose summer
53*4=212
Carl wants some ice cream. The probability that he will get the following flavors are: Flavor Probability Chocolate chip 0.25 Caramel Critters 55% Blueberry cheesecake 1/5 Order the ice cream flavors according to their chances of availability from least to most likely.
The chances of availability from lest to most likely is Blueberry cheesecake, Chocolate chip and Caramel Critters.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.
The chances of availability:
Blueberry cheesecake - 1/5 = 20%Chocolate chip = 0.25 = 25%Caramel Critters = 55%To learn more about probability, please check: https://brainly.com/question/13234031
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