rationalise the denominator by 6 root 7 minus 1

Answers

Answer 1

Answer:

Assuming the numerator was 1.

[tex](6\sqrt{7}+1)/251[/tex]

Step-by-step explanation:

Assuming the numerator was 1.

[tex]1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251[/tex]


Related Questions

Given the graph below, the equation in slope-intercept form is

Answers

Answer:

F(x)=-1x-5

Step-by-step explanation:

The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.

For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?

Answers

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

interest earned:? principal: 250$ interest rate: 4% time: 2 years

Answers

First begin with the interest formula.

Interest = Principal x Rate x Time

The $250 is the principal is the amount of money invested.

The rate is 4% which translates to the decimal .04.

The time is 5 years.

So we have I = (250)(.04)(2).

Multiplying, (25)(.04) is 10 and we have 10(2) which is 20.

This means that the interest earned in 2 years is $20.

Please help this was due yesterday!

Answers

Answer:

a) <

b) <

c) >

d) <

e) >

Step-by-step explanation:

There are 195 adults and 320 children at a zoo. The zoo makes a total of $6,515 from the entrance fees, and the cost of an adult and a child to attend is $27, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system.

Answers

Answer:

a+c=27

195a+320c=6515

Step-by-step explanation:

adult (a): 195

children (c): 320

total $: $6515

child $: 27

a+c=27 --> c=-a+27

195a+320c=6515

sub the first equation into the 2nd equation to get a=17

sub a=17 into c=-a+27 to get c=10

so, an adult ticket is $17 and a child ticket is $10.

pls help with number 3

Answers

Answer:

3<n+5

Step-by-step explanation:

...................

Answer:

n+5-3

Step-by-step explanation:

"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.

-x+5+4x
simply the expression

Answers

Answer:

3x+5

Step-by-step explanation:

Please help! I need help

Answers

Answer:

median is 32 and the mean is 21

an ice skating rink rents out skates for 5.50 per hour you have 22.00 to spend how many hours can you rent a pair of skates?

Answers

It would be four hours. Hope this helps ✌️

Can I please have some help with this question

Answers

Answer:

60

Step-by-step explanation:

2a is more than 90 so it is more likely to be 120

so divide that by 2 and 60

Answer:i think a=120

Speed=60 km/h time= 2 hours 20 minutes, what is the distance?

Answers

Answer:

26km

Step-by-step explanation:

d=speed × time

d=60×2.33

d= 140km

need help fast only 14 mins left

Answers

Answer:

V = 49 m³

Step-by-step explanation:

Volume in November 2015 = 6287 m³

Volume in August 2015 = 6238 m³

We need to find the volume of water used between August and November. It can be calculated as follows :

V = 6287 m³ - 6238 m³

= 49 m³

So, the required volume is 49 m³.

a bag of pretzels origanally came with 16 ounces of pretzels it now has 30% more how much does the bag come with now

Answers

Answer:

20.8 I'm pretty sure....

Answer:

20.8

Step-by-step explanation:

130/100=1.3

1.3*16=20.8

Tammy sells wedges of cheese at the local farmers' market. To make the wedges, she cuts a big 5-pound block of cheese into 16 pieces. How much does each wedge of cheese weigh?

Answers

Answer: 5/16 pound or 0.3125 pounds

Step-by-step explanation:

From the question, we are informed that in order for Tammy to make the wedges, she cuts a big 5-pound block of cheese into 16 pieces.

The weight of each wedge of cheese will be gotten by dividing 5 by 16. This will be:

= 5/16 pound

= 0.3125 pounds

Answer:

5/16

Step-by-step explanation:



The right triangle below is formed by squares A, B, and, C. Square A has an area of 9 meters and Square C has an area
of 16 square meters. What is the area of Square B?

A.) 6 square feet
B.) 18 square feet
C.) 5 square feet
D.) 25 square feet

Answers

Answer:

I think it's 18 square feet

The measure of angle R is 3 degrees less than twice the measure of angle S. If the sum of the measures of the two angles is 72 degrees, find the measure of each angle.

Answers

2x-3+x=72
3x-3=72
3x=75
X=25
R=47 S=25

Measures of the given angles:

∠S = 25° and ∠R = 47°

What is an angle?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

There are two main parts related to an angle - the arms and the vertex.

Given,

Measure of angle R is 3 degrees less than twice the measure of angle S

⇒ 2∠S - ∠R = 3°        

⇒ ∠R = 2∠S - 3°         ------(a)

Sum of R and S

⇒ ∠R + ∠S = 72°      

Substituting ∠R in terms of ∠S in above equation from equation (a)

2∠S - 3° + ∠S = 72°

3∠S - 3° = 72°

3∠S = 72° + 3°

3∠S = 75°

∠S = 75°/3

∠S = 25°

Substituting value of ∠S in equation (a)

∠R = 2 × 25° - 3°

∠R = 50° - 3°

∠R = 47°

Hence, ∠S = 25° and ∠R = 47° are the measures of given angles.

Learn more about angles here:

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HELP FOLKS PLEASE ( i don't have much time)

Answers

Tan Angle y= 7/4
Tan Angle z= 4/7

Answer:

tan(Y) = 7/4

tan(Z) = 4/7

Step-by-step explanation:

Tangent ratios are the TOA of SOHCAHTOA.

tan( angle ) = opposite / adjacent

The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above the ground?

Answers

Answer:

1,050 ft

Step-by-step explanation:

what is this pls help me 54 point to whoever helps me

Answers

Answer:

3 1/5

Step-by-step explanation:

A construction crew is building a two story house, but they have not built the staircase between the floor yet. The height of the staircase is 12 feet, the base of the stairs will be 6 feet from the wall. How long does the temporary ramp need to be to the nearest tenth of a foot?

Answers

Answer:

13.4feet

Step-by-step explanation:

The set up forms a right triangle.

Given

Height of the staircase h = 12 feet

Base of the stairs b = 6feet

Required

Length of the ramp l

Using the pythagoras theorem

l² = h² + b²

l² = 12²+6²

l² = 144 + 36

l² = 180

l = √180

l = 13.42 feet

Hence the length of the ramp to the nearest tenth is 13.4feet

Only answer if ur sure... but ASAP please. Huge thank you to anyone that can help as i have an assignment due very soon. Brainliest if u get the correct answer!!
What is the equation of a line with a gradient of 2 that passes through (0,5)?

Answers

9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

"Gradient" is another word for "slope." The given point (with x-coordinate equal to zero) is the y-intercept. So, it is easy to write the equation in slope-intercept form:

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 2x + 5

NEED HELP PLSSSSSS HELP MEEE

Answers

Answer:

Step-by-step explanation:

0 quarter = 20 dimes

dime to quarter = divide by 20

quarter to dime= multiply by 20

4 quarters = ? dimes

4 x 20 = 80 dimes

0 dimes = ? quarters

0/20 = 0 quarters

5 dimes = ? quarters

5/20 = 0.25 quarters

Answer: SORRY I WISH I CAN HELP YOU BUT PLZ DON´T GET MAD PLZ

Step-by-step explanation:

BUT I DID FIGURE THE FIRST ANSWER IS 13

Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.

Answers

Buying 6.2 oz for $2.97 is the better buy.

f(x)=3x2+2x−3

g(x)=2x+4

Answers

Answer:

A: 6

B: 16

C: 2

D: -12

Step-by-step explanation:

They are asking you to multiply the equations:

(3x^2 + 2x - 3)(2x + 4)

Distribute and you should get:

6x^3 + 16x^2 + 2x - 12

The Coefficients A,B,C, and D are 6, 16, 2, and -12.

Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it.

At the end of the 4 years, how much interest in dollars and cents did the account earn?

Answers

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

Does anyone know the answer to this? If you do please answer!

Answers

Answer:

The Y axes

Step-by-step explanation:

Work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and earn $19.00 an hour. Do your elderly neighbor’s housework 15% of your time, and earn $16.00 an hour. What will your average hourly wage be? Enter your answer up to two decimal places.

Answers

Answer:

13.75

Step-by-step explanation:

The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job):

(0.6 × 11) + (0.25 × 19) + (0.15 × 16) = $13.75.

In the diagram below, what is the approximate length of the minor arc AB?
A. 28.8 cm
60°
30 cm
B. 62.8 cm
c.
C. 15.7 cm
D. 31.4 cm

Answers

Answer:

31.4 cm , just did the quiz

Step-by-step explanation:

The length of the minor arc is 31.4 cm of the given circle.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Arc length is the distance between two points along a section of a curve.

The formula for arc length is θ/360×2πr

Arc length =  θ/360×2πr

Where θ is the central angle and r is the radius of the circle.

θ = 60 degrees and r is 30 cm

Plug in the value of θ and r

Arc length = 60/360 × 2×3.14×30

=1/6×60×3.14

=188.4/6

=31.4

Hence, the length of the minor arc is 31.4 cm of the given circle.

To learn more on Circles click:

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If 9x + 10=y what is y??

Answers

Answer:

above beat me to it he is right

The first quartile of a data set is 31, and the third quartile is 47. Which of these values in the data set is an outlier?

A) 8
B) 28
C) 63
D) 73

Answers

the answer to this is D

Answer: a.83

Step-by-step explanation:

apoooxe

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