Rationalize the denominator and simplify.

Rationalize The Denominator And Simplify.

Answers

Answer 1

Answer:

[tex]\frac{a+4\sqrt{ay}+4y}{a-4y}[/tex]

Step-by-step explanation:


Related Questions

A tire travels about 75 inches in one full rotation. What is the Demeter of the tire, to the nearest inch?

15
12
24
30

Answers

Answer:

24 inches

Step-by-step explanation:

c = πd

75 = 3.14d

Divide both sides by 3.14

23.89 = d

Rounded

24 inches

Answer:

[tex]\boxed {\boxed {\sf 24 \ inches}}}[/tex]

Step-by-step explanation:

We want to find the diameter of the tire given the distance traveled in 1 full rotation.

The circumference of a circle is the distance all the way around. If a wheel or tire makes 1 full rotation, the distance traveled is equal to the circumference.

The circumference is the product of pi and the diameter.

[tex]c=\pi \times d[/tex]

We know the circumference (distance traveled in 1 full rotation) is 75 inches. We can substitute this value for c.

[tex]75 \ in =\pi \times d[/tex]

We want to find the diameter, so the variable must be isolated. It is being multiplied by pi. The inverse of multiplication is division, so we divide both sides by pi.

[tex]\frac {75 \ in}{\pi}= \frac{\pi \times d}{\pi}[/tex]

[tex]\frac {75 \ in}{\pi}=d[/tex]

[tex]23.8732415 \ in=d[/tex]

Round to the nearest inch. The 8 in the tenths place tells us to round the 3 up to a 4.

[tex]24 \ in \approx d[/tex]

The diameter of the tire is approximately 24 inches.

Pls answer quick I will name brainliets

Answers

Answer:

I'm sorry I don't know the answer to it

A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the depth of the water? Give your answer in terms of n.​

Answers

Answer:

That measure to congruent 8 and side angle is 3.9

The correct answer is: m<8 and angle 7.9

Jenna starts her homework at 6:30 P.M. She solves math problems for 20 minutes. She works on a paper for history for 30 minutes and studies science vocabulary for 15 minutes. Finally, Jenna reads for 40 minutes. When will Jenna finish her homework?

Answers

Jenna will finish her homework at 8:15

Answer:its either 7:20 or 8:00 i think

Step-by-step explanation:

1.) Oranges are on sale this week for 10% off. Oranges normally costs $1.80
per pound. If Aiden wants to buy 5.5 lbs of oranges this week, how much
will he pay?

Answers

Answer: $8.91

Step-by-step explanation:

Find the volume of the rectangular prism.
14 cm
14 cm
2 cm
Volume
[?] cm
Enter

Answers

Answer:

392

Step-by-step explanation:

V= length x width x height.

V= 14cm×14cm×2cm

V= 392cm^3

Question :-

Find the volume of the rectangular prism.

Length = 14 cm

Width = 14 cm

Height = 2 cm

Volume = ?

____________________

Solution :-

Given Information :-

Length ➢ 14 cmWidth ➢ 14 cmHeight ➢ 2 cm

To Find :-

The Volume of the rectangular prism

Formula Used :-

[tex] \boxed{ \bf{volume \: of \: rectangular \: prism = length \times width \times height}}[/tex]

Calculation :-

Substituting the values given, in the formula, We get,

⇒ Volume of rectangular prism = 14 × 14 × 2

Volume of rectangular prism = 392 cm³

____________________

Final Answer :-

The Volume of the rectangular prism is 392 cm³

____________________

Find the area of the figure.
5.3 in.
10 in.
4 in.
7 in.

Answers

First of all starting with finding the cut out lengths,
10-4=6
7-5.3=1.7

Area of that top left part of the diagram (imagine as if a square):
6*1.7/2=5.1

Area if that part was not cut:
7*10=70

Area of the entire diagram and final answer:
70-5.1=64.9

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Answer:

Fun fact- when you put the amount of points, it halves the point.

Answer - A (Opposite sides of triangles are congruent)

Step-by-step explanation:

Congruent are the same angles.

Answer:Answer:opposite pairs of triangles are congruent

The distance between the points (-2, – 4) and (3, 8) is -

Answers

The distance would be 13

Answer:

13

Step-by-step explanation:

Evaluate the arithmetic series described:
14 + 23 + 32 + 41..., S11
649
1298
2604
1296

Answers

Answer:

Step-by-step explanation:

a 1296

complete the simplified ratio:
0.2 : 3.75

Answers

Answer:

1: 18.75

Step-by-step explanation:

We multiply both sides by 5.

What is 0.2 percent (calculated percentage %) of number 3.75? Answer: 0.0075.

Please if you can? Thanks

Answers

Answer: 12 cm = x

Step-by-step explanation:

12cm I work it out and paper if u want full explanation

if MQRS is a rectangle with QR=x+7 and MSMS =15, find x

Answers

Answer:

Step-by-step explanation:

x+7=15

x=15-7

x=8

since it is a rectangle the breadth are equal.

the social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey? ) Select one:
a. All teachers in the school
b. All boys in each grade
c. All students in each grade
d. All students in the social studies club
PLEASE HELP ME

Answers

C bc all of the students school wide need to be represented
C bc all the students school wide need to be represented

If these are correct.

Answers

Yes I think they are correct

8) Zero (0) is _____________ *
1 point
the identity element for multiplication of rational numbers.
the identity element for addition of rational numbers.
the identity element for division of rational numbers.
the identity element for subtraction of rational numbers.

Answers

Answer:

The identity element for addition of rational numbers.

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

Step-by-step explanation:

The identity element for addition of rational numbers

pls answer thank u:)​

Answers

Answer:

the answer is 48 your welcome

(2^2)^4 = 256

3^4 = 81

256 × 81 = 20735

27 × 16 = 432

20735÷432 = 47.99

round to 47.99 to the nearest 10th and you will get 48.

Lol

Final answer : 48

Dude correct I just scanned it on photo math

Is y=2x+3 a direct variation, a inverse variaition, or neither?

Answers

Answer:

Step-by-step explanation:

a direct variation,  b/c as X goes up, so does Y

I need help with what's on the attachment

Answers

Answer:

Step-by-step explanation:

maybe a ?

Share 180 in the ratio 3:2:1 *

Answers

Answer:

Ratio = 3:2:1

Let the Values be 3x:2x:x

3x+2x+x=180

=> 6x=180

=> x =180/6

=> x = 30

3×30=90

2×30=60

1×30=30

Find the area
of the circle.
Round your answer to the
nearest hundredth.
Do not include units in
your answer.

Answers

Answer:

201.06

because it is correct

I really need help on this problem I'm struggling please show me how to do it show WORK, please
14.4 = -2.4b

Answers

Answer:

b = -6

Step-by-step explanation:

14.4 = -2.4b (swap the sides of the equation)

-2.4b = 14.4 (divide both sides of the equation by -2.4)

b = -6

I WILL GIVE BRAINLIEST TO WHOEVER CAN ANSWER NUMBER 12
12) There are two rectangular doors that are similar. The smaller door has a height of 3 ft. and a width of 2 ft. The bigger door has a width of 8 ft. What is the height of the bigger door? (Draw a picture, set up a proportion, and show all work.)(3pts)

Answers

Answer:

it's twelve you're welcome

Answer:

12 ft

Step-by-step explanation:

Since the doors are similar then the ratios of corresponding dimensions are equal.

let x be the height of the bigger door, then

[tex]\frac{small}{big}[/tex] : [tex]\frac{3}{x}[/tex] = [tex]\frac{2}{8}[/tex] ( cross- multiply )

2x = 24 ( divide both sides by 2 )

x = 12

Height of the bigger door is 12 ft

3400 km is decreasing at a rate of 6.5% each year so after 7 years how much is left

Answers

Answer:

1547 km

Step-by-step explanation:

1547 km remain due to consistent decrease in the rate of 3400 km. As stated 6.5% decreases each year, and you are wanting to see the amount left after 7 years. So I said 0.065 x 7 = 0.455 (Because you want to move the decimal two places to the right in this case when plugging in the percentage into an equation.) So, now since I'm left with0.455 for the 7 years I simply multiplied that by 3400 km to get my answer. Which gave me the value 1547 km.

What is true about this shape?

Answers

Answer:

D. This is a Square Pyramid.

Step-by-step explanation:

The ratio of orange to pineapple juice is 4 to 3 bill has 64 oz of orange juice how much pineapple juice does bill need?

Answers

Answer:

48 oz

Step-by-step explanation:

64/4 = 16

3 x 16 = 48.


Evaluate the polynomial function when H=3
f(h)=4h^3-3h^2+5h-16

Answers

Answer:

80

Step-by-step explanation:

f(3)=4(3)^3-3(3)^2+5(3)-16

f(3)=4(3*3*3)-3(3*3)+15-16

f(3)=4(27)-3(9)+15-16

f(3)=108-27+15-16

f(3)=81+15-16

f(3)=96-16

f(3)=80

What is the value of the circumference of a circle when the diameter is 18, what is the area?

Answers

Answer: 56.57

HOPE THIS HELPS

Solve the quadratic equation by completing the square. 0 = x2 – 6x + 4 –4 = x2 – 6x –4 + 9 = (x2 – 6x + 9) 5 = (x – 3)2

Answers

Answer:

x = 3±√5

Step-by-step explanation:

Given the quadratic equation;

0 = x² – 6x + 4

Swap sides

x² – 6x + 4=  0

Subtract 4 from both sides

x² – 6x + 4 - 4=  0 - 4

x² – 6x = -4

Complete the square;

Add the square of half of coefficient of x to both sides

Coefficient of x = -6

Half of Coefficient  of x = -6/2 = -3

square of the half of Coefficient of x = (-3)²

Add (-3)² to both sides

x² – 6x + (-3)² = -4 + (-3)²

(x-3)² = -4 + 9

(x-3)² = 5

Take the square root of both sides

x - 3 = ±√5

x = 3±√5

This gives the solution to the equation

Need help, please!
Thank you

Answers

Answer:

here

Step-by-step explanation:

here

Answer:

I think i gave u answer for 21 and 23 but ill give ya again :)

21.) x = 0

22.) x = 8

23.) x = 0

24.) x = 12

Step-by-step explanation:

21.) x + 12 = 12

=> x = 0

22.) x - 1 = 7

=> x = 8

23.) 12 + 2x = x + 12

=> 12 + x = 12

=> x = 0

24.) 2x - 14 = 10

=> 2x = 24

=> x = 12

(All of these equations are set equal to their opposite side on the same figure since both the sides are parallel and congruent)

Hope this helps!

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