Root5 /2 root5 -1
can be written in the form
a+rootb /c
where a, b and c are integers.
Find the values of a, b and c when the resulting fraction
is written in its simplest form.

Root5 /2 Root5 -1can Be Written In The Forma+rootb /cwhere A, B And C Are Integers.Find The Values Of

Answers

Answer 1

Answer:

10, 5, 19

Step-by-step explanation:

Recall that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

So we can multiply the fraction by

[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]

And get

[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]


Related Questions

ht
Which of the following is an equivalent expression to the expressione,
А
B
D
ANSWER QUICK PLZ

Answers

Answer A is your correct answer

JT bisects AJH and the measure of MJT is four times that of TJH. If the measures of MJT is 120 find the measure of MJA.

Answers

MJH = 120

Let TJH = x

You’re told MJT is 4 times TJH

So you have 4x + x = 120

Simplify: 5x = 120

Divide both sides by 5:

X = 24

TJH = x = 24 degrees.

JT is a bisector so both TJH and TJA are the same. So TJA is also 24 degrees

So MJA = 120 - 24 - 24 = 72

MJA = 72 degrees

Answer

34MJT

Step-by-step explanation:

did it on edge

please help!!!!! simplify

Answers

Answer:

Pretty sure it's B

Step-by-step explanation:

Hey I'm Chloe Can you Help Me, I will give Brainlest, Thank you :)
During a professional baseball game, every spectator placed his or her ticket stub into one of several containers. After the game, the coach chose twenty people to march in the victory parade. What is the sample in this situation?

Answers

Answer:

The sample is the amount of people because not everyone is getting chosen

Step-by-step explanation:

I also agree, the coach choose certain people to march cuz not everyone is gonna be able to get used.

At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (ANSWER A AND B PLEASEEEEEEE I REALLY NEED HELP!!!!)

A). If 8 pizzas were bought, how many sodas were bought?

B). How much was the total money would be spent on the pizza and sodas from (A)?

THANK YOU SOOOOO MUCH!!!! :))))))

Answers

Answer:

61

Step-by-step explanation:

Givens

Let the pizzas = x

Let the sodas = y

Equation

y = 3x + 2

Part A

y = 3*8 + 2

y = 24 + 2

y = 26

Part B

Sodas = 26* 1.25 = 32.50

Pizzas =9.50 * 3  = 28.50

Total for both = 32.50 + 28.50 = 61

plssss help

answer it plssssssssss​

Answers

k= 28/5
yeah yeah yeah

A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The radius of the tank is 4 feet. Find the height of the tank in feet. Use 3.14 for π. PLEASE HURRY I NEED THIS

Answers

Answer:

8 ft

Step-by-step explanation:

Given:

Volume = 401.92

radius = 4 feet

Volume of cylinder: [tex]\pi[/tex]r^2h

3.14 * 4^2 * h = 401.92 cubic feet

3.14 * 16 * h = 401.92 cubic feet

50.24 * h = 401.92

h = 8 ft

Kendra Buys three bracelets for $48 which table shows the correct amount she would need to pay to buy nine or 13 bracelets at the same price per bracelet

Answers

Answer:

The answer is B

Step-by-step explanation:

Divide 48 by 3 which gives you the total amount for one bracelet then you have to multiply the amount by 9 and 13 and then find your answer in the letters.

The proportion relationship is as follows;

number of bracelet         total cost($)

                3                           48

                9                            144

               13                           208

Proportional relationship

Proportional relationship is one in which two quantities vary directly with each other.

Therefore, we can establish a proportional relationship between the number of bracelets and it cost.

Hence,

let

x = number of bracelet

y = cost of the bracelets

Therefore,

y = kx

where

k = constant of proportionality

48 = 3k

k = 48 / 3

k = 16

Let's find the cost for 9 or 13 bracelet

y = 12x

y = 16(9) = 144

y = 16(13) = 208

learn more on proportional relationship here: https://brainly.com/question/11807654

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% 40 % of this population prefers the color green. If 12 12 buyers are randomly selected, what is the probability that between 5 5 and 9 9 (both inclusive) buyers would prefer green? Round your answer to four decimal places.

Answers

Answer: 60% would like another color

Step-by-step explanation:

what is the solution to the inequality of x+2<5

Answers

Answer:

Any number below 3

(2, negative infinity)

Answer:

here's the answer with steps

x + 2 < 5

-2 -2

x < 3

What is the value of f(x) = 4x -9

Answers

Answer:

F= 1 /4 y+ 9 /4

Step-by-step explanation:

brainliest?

Plz help Major grade 6th grade

Answers

Answer:

A. 300h = 900

Step-by-step explanation:

V = lwh

900 = (25)(12)h

900 = 300h

300h = 900

Find the value of x. Also with explanation please

Answers

Answer:

x+90°+130°=360°

x+220°=360°

x=360°-220°

x=140°

y = -9x Proportional or Non Proportional

Answers

y=-9x is proportional
No proportional I think

Giving brainlist to whoever answers

Answers

725.95 is the answer

How do I find degrees of monomials?

Answers

Finding the degrees of monomials are actually really easy!

Here's how you know:
Some examples:

6y^4 Degree is 4. y to the 4th power.


65pq^3y^2 p is to the power of 1, q is power of 3, y is to the power of 2
so, 1+3+2=6
Degree: 6



18x^2y^5z
Here you see a 2, 5, and 1 because z to the first power is z.
2+5+1=8
Degree:8

--->Remember, this is just the sum of exponents of the variables

At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet long.

Answers

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

How many unit cubes are on each layer of this cube

Answers

There are 16 cubes in each layer.

What are cube?

A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross.

Given that, a cube,

Since, we know that, all sides of a cube are equal and the cross-section of the cube is a square,

Therefore, counting the cubes of the front face,

4 cubes vertical and 4 cubes horizontal,

Therefore, total cube in front face = 4×4 = 16

Therefore, cubes in each layer is 16.

Learn more about cubes, click;

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Convert: 76 ounces = _____ pounds _____ ounces

Answers

Answer:

4 pounds 12 ounces

Step-by-step explanation:

there are 16 ounces in 1 pound so 76/16 = 4.75 and .75 is equal to 12 ounces.

76 ounces is equal to 4 pounds and 12 ounces.

To convert 76 ounces to pounds and ounces, we need to consider that 1 pound is equal to 16 ounces.

Here's how to proceed:

Divide the total number of ounces by 16 to find the number of pounds:

76 ounces ÷ 16 ounces/pound = 4.75 pounds

Since 4 pounds = 4 x 16 pounce/ pound

= 64 ounces ,we subtract this amount from the total of 76 ounces to determine the remaining ounces:

= 76 ounces - 64 ounces

= 12 ounces

Therefore, 76 ounces is equal to 4 pounds and 12 ounces.

Learn more about Unit Conversion here:

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On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?

Answers

Answer:

40%

Step-by-step explanation:

Initial number of hours = 5Increased number of hours = 7

Change:

7 - 5 = 2

Percent change:

2/5*100% = 40%

at traget a 5 pack of gaterade cost 8.78 how much would 21 packs of gatorade cost

Answers

Answer:

21 packs of gatorade would cost $36.88.

Step-by-step explanation:

Mathematically:

8.78 / 5 = 1.756

1.756 * 21 = 36.876 ~= $36.88

Can you help me please thank you

Answers

Answer:

4. 6x^2 - 3x + 1
5. x^2 - 12x + 36

Explanation:

(12x^3 - 6x^2 + 2x) / 2x
6x^2 - 3x + 1

(x-6)^2
(x - 6) (x - 6)
x^2 - 6x - 6x + 36
x^2 - 12x + 36

The origin was used as the center of dilation to dilate quadrilateral ABCD as shown below.




Which algebraic representation best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D?​

Answers

I am stuck on same one

Answer:

x, y) → (1.5x, 1.5y)

Step-by-step explanation:

The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?

Answers

Answer:

just interest = 251,550. Plus loan = 446,550

Step-by-step explanation:

195,000 x 0.043(interest as a decimal) = 8385 per year.

8385 x 30(years) = 251,550

The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.

What is compound interest?

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that

the principle amount of $195000

The rate of interest is 4.3%

Time period 30 years.

By compound interest formula

A = P × [tex](1 + 0.00r)^{n}[/tex]

where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.

A = $195000[tex](1 + 0.043)^{30}[/tex]

A = $689546.985

For more information about compound interest

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A rectangular prism with a length of 5 inches a width of 4 inches and a height of 3 inches is how many square inches

Answers

Answer:

20

Step-by-step explanation:

length x width = area

4 x 5 = 20

(not 100% sure, but I hope this helps)

Im giving brainliest

Answers

Answer:

> there you go

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

Find the slope of the line

Answers

Answer:

-5/4 is the slope of the line.

Find the area of the shaded region.

Answers

Answer:

69.53 ft

Step-by-step explanation:

area of a box: 18*18 = 324

area of a circle: (pi)*9^2 = 254.47

324-254.47 = 69.53 ft

help will mark brainliest also do u like my green screen?

Answers

Answer:

Cubes in each layer: 6

Number Of Layers: 5

Volume: 30

ATHEMATICS CURRICULUM
Lesson 3 Homework
time Zachary starts playing with his action figures.
the start playing with his action figures?
Start
1
12
11
1
31
10
on figures for 23 minutes.
Ish playing?
Finish

Answers

Answer:

guru gossip and you can you invite me to the heading

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