rationalize the denominator of 5√3+3√5 ÷ 5√3+3√5

Answers

Answer 1

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]\frac{5\sqrt{3}+3\sqrt{5} }{5\sqrt{3}+3\sqrt{5} }[/tex]

[tex]=1[/tex]


Related Questions

Find the volume of a right circular cone that has a height of 6.5 cm and a base with a
radius of 8.5 cm. Round your answer to the nearest tenth of a cubic centimeter

Answers

Answer:

491.8cm

Step-by-step explanation:

v=1/3*π*r^2*h

v=1/3*π*8.5^2*6.5

491.8

Answer:

491.8

Step-by-step explanation:

i did the question it was right

A baseball team won 9 games, which was 60% of the total number of games the team played. How many total games did the team play?

Answers

Answer: The team played 15 games total

Step-by-step explanation: 9 is 60 percent of 15.

What Is the Area of the Triangle?

Answers

Step-by-step explanation:

To find the area of a right triangle, you multiply the two legs of the triangle and then divide that result by 2. The reason this works is because a right triangle's area is exactly half  the area of a rectangle using the same legs.

Answer:

A=1/2bh

=1/2×4×8

=1/2×32

=16.

6+
Зу + 4 < 6
helppppppppp

Answers

Step-by-step explanation:

6 + 3y + 4 < 6

10 + 3y < 6

3y < -4

y < -4/3

Answer:

y < -4/3

Step-by-step explanation:

6+ Зу + 4 < 6

Combine like terms

10 +3y < 6

Subtract 10 from each side

10 +3y - 10 < 6-10

3y < -4

Divide each side by 3

3y/3 < -4/3

y < -4/3

I need help with these asap like i’ll fr cashapp you momey if you do it i need it for todayyy wassup?!!

Answers

Answer:

Look at the picture**

Step-by-step explanation:

X2

Answer:

Step-by-step explanation:

x2

Zachary is solving the following equation.



Which is the best first step to begin to simplify the equation?
Multiply both sides of the equation by .
Divide both sides of the equation by .
Distribute over (x – 8).
Distribute over (x – 8).

Answers

Don't know if there was supposed to be another option but, it would be distribute over (x - 8).

Answer:

Distribute 3/4 over (x - 8)

Step-by-step explanation:

brainliest please and can yall please thank me and give five stars

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the verbal descriptions with the correct equations.

Answers

Answer:

Step-by-step explanation:

6 more than a number is 36: x+6=36

36 more than a number is 6: x+36=6

6 times a number is 36: 6x=36

What does a small Mad tell you about a set of data?

Answers

Answer:

The numbers are closer to each other and the range will be smaller. The numbers will also be closer to the mean and median.

Step-by-step explanation:

The pair of figures is similar find X round to the nearest 10th if necessary

Answers

Answer:

x = 4.5 or rounded 5

Step-by-step explanation:

Because they are equal you can make the equation:

x/2 = 18/8

this means that 8 divided by 2 equals (4)

what 18 divided by x is (4)

this means 4 times x = 18

4x = 18

/4    /4

x = 4.5 ft

x
Which of these points are on a line that has a slope of -3?.
(9, 2), (4,3)
(2,9), (4,3)
(9, 2), (3, 4)
(2,9), (3, 4)

Answers

Answer:  (2, 9), (4, 3)

Step-by-step explanation:

[tex]\text{The slope formula is: }m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{2-3}{9-4}\quad =-\dfrac{1}{5}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{9-3}{2-4}\quad =\dfrac{6}{-2}\quad =\large\boxed{-3}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{2-4}{9-3}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{9-4}{2-3}\quad =\dfrac{-5}{1}\quad =-5[/tex]

HELP!!!!! Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 – 16 is .

Answers

Answer:

Below in bold.

Step-by-step explanation:

9x^2 - 16

Comparing this with the standard form

ax^2 + bx + c

ac = 9*-16 = -144

b = 0

-12 and 12 multiply to get ac and add to get b.

Factored form is

(3x - 4)(3x + 4).

The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The quadratic equation is,

⇒ 9x² - 16

Now, We know that;

General form of quadratic equation is,

⇒ ax² + bx + c

Here, The quadratic equation is,

⇒ 9x² - 16

Hence, By comparing,

⇒ a = 9

⇒ b = 0

⇒ c = - 16

Thus, The value of ac is,

⇒ ac = 9 × - 16

        = - 144

And, The factored form is,

⇒ 9x² - 16

⇒ (3x)² - 4²

⇒ (3x - 4) (3x + 4)

Thus, The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

Learn more about the quadratic equation visit:

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Which table represents exponential growth?
:))))

Answers

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B


1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve?
Is there enough information to enable you to find a solution to your problem?

Answers

yes it is a good thing you have to do that and then go to pick it out

What is the discriminant of the quadratic equation 0 = 2x² + 3x - 5?
-37
-31
43
49

Answers

Answer:

D 49

Step-by-step explanation:

just did it

The answer is 49 I did the math

What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104) 3. Multiply the coefficients: (18.166)(10–7 ∙ 104) 4. Apply the product of powers: 18.166 × 10-3 5. Write in scientific notation: 1.8166 × 10n What is the value of n in the scientific notation of the product? n =

Answers

The product of the given values in scientific notation would be = 1.8166× 10-2.

What is scientific notation?

Scientific notation is a method that is used in arithmetics to represent numbers and figures that are too large or too small and usually raised to power of 10.

The values that are given for multiplication is as follows;

5.86 × 10–7 × 3.1 × 104

First rearrange the expressions;

(5.86 × 3.1)(10–7 ×10⁴)

The multiple the coefficients;

(18.166)(10–7 ∙ 104)

The apply the product of power by addition of the powers;

18.166 × 10-3

The scientific notation representation of the product = 1.8166× 10-2

Learn more about scientific notation here:

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Solve it by factorisation method​

Answers

Answer:

Hope it helped you.

Step-by-step explanation:

It was hard to type on a keyboard so I did it somewhere else...

surface area of a triangular prism

Answers

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

Surface area of the triangular prism is 96 feet.

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

A triangular prism has 2 triangular bases and 3 rectangular lateral faces.

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

There are 2 triangles at the top and bottom.

Here base = 3 feet and height = 2 feet

Total surface area on the top and bottom = 2 × [tex]\frac{1}{2}[/tex] × base × height

                                                                     = base × height

                                                                     = 3 × 2

                                                                     = 6 feet

There are 3 rectangular faces.

Area of the rectangle = Length × width

Here, length = 10 feet and width = 3 feet

Area of the rectangular face = 10 × 3 = 30 feet

Since there are 3 rectangular faces,

Total lateral surface area = 3 × 30 = 90 feet

Total surface area of the triangular prism = 90 + 6 = 96 feet

Hence the total surface area of the given triangular prism is 96 feet.

Learn more about Surface Area here :

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5. The distance from the shovel to the treasure chest is
60 yards and the distance from the treasure chest to the
boat is 50 yards. How far is the boat from the shovel?​

Answers

Answer: 110 yards

Step-by-step explanation:

From the question, the distance from the shovel to the treasure chest is

60 yards while the distance from the treasure chest to the boat is 50 yards. We are to calculate the distance from the boat from the shovel.

The distance from the boat from the shovel will be the addition of the distance from the shovel to the treasure chest which is 60 yards with the distance from the treasure chest to the boat is 50 yards.

= 60 yards + 50 yards

= 110 yards

Solve the volume formula V= /wh for h.​

Answers

Answer:

V = lwh

/lw   /lw

h = V/lw

First isolate the variable by seperating lw from the side that h is on. You do this by dividing both sides by lw. This will result in h being volume over lenght and width.

Could you Show work please

Answers

Answer:

2784 cm^2

Step-by-step explanation:

I have indicated in the pic there are 4 types of rectangles:

green : 20 x 4 = 80

red : 18 x 4 = 72

yellow : 20 x 18 = 360

blue : 18 x 16 = 288

green has 6 identical surface area so 6 x 80 = 480

red has 4 so 4 x 72 = 288

yellow has 4 so 4 x 360 = 1440

blue has 2 so 2 x 288 = 576

total : 480 + 288 + 1440 + 576 = 2784

2784 cm 2

Hi run numbing

i think of a number, multiply it by 2, subtract 3, and multiply the result by 4

Answers

Answer:

4(2x-3)

Step-by-step explanation:

Let the number be x

⇒ Multiplying by 2 makes it 2x

⇒ Subtracting 3 makes it 2x-3

⇒ Multiplying the whole by 4 gives 4(2x-3)

Multiplying the whole by 4
Give 4(2x-3)

What word phrase can you use to represent the algebraic expression 7x?

Answers

Answer:

7 times x

Step-by-step explanation:

When the expression is seen, we can say that it displays 7 times x.

What is the answer to 3x^2 +30x+75

Answers

The answer is 3(x+5)^2

Factor out 3 from the original equation

3(x^2+10x+25)

Then find two numbers that multiply to give 25 and add to give 10. The two numbers are 5 and 5

This gives...
3(x^2+5x+5x+25)

Factorise the expression in the brackets

3(x+5)(x+5)

Combine like terms

3(x+5)^2

A rope is cut so that one piece is three times the length
of the other. Each rope is then used to enclose an area
in the shape of an equilateral triangle. If the area
enclosed by the shorter rope is 1,000 m2, what is the
area enclosed by the longer rope?

Answers

Answer:

9,000 m2

Step-by-step explanation:

If the longer rope has three times the length of the shorter rope, the perimeter and the sides of the triangle formed by the longer rope are three times the perimeter and sides of the triangle formed by the smaller rope.

The area of an equilateral triangle is:

[tex]Area = \frac{side^{2} * \sqrt{3}}{4}[/tex]

So, if the side is three times bigger, the area will be 9 times bigger (3^2).

The area of the small triangle is 1000 m2, so the area of the bigger triangle is 9 * 1,000 = 9,000 m2

A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your value is correct

Answers

Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3

An employee earns a 25% commission rate on his sales. One day, he earned $175.

Answers

If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.

If he earned $175 from his commission that’s means he had to have sold a total of $700 since 25% is 1/4 of 100%.

you've got a summer job renting beach umbrellas and chairs to tourists at the beach. part of your job is to encourage people to rent from you,your pay structure includes an incentive. along with a daily rate of pay of $50, you earn an extra $2 per umbrella you rent and $1 per chair you rent. you kept a tally of the number of umbrellas and chairs you rent each day. what is the function you can use to quickly calculate your earnings?

Answers

Answer:

50+2x+y

Step-by-step explanation:

50 dollars plus 2dollars , x representing how many umbrellas are being rented, and y representing how many chairs are rented

which statements accuretly describe the function f(x)=3(square root 18)^x​

Answers

Answer:

3 is being multiplied by the square root of 18 which is being raised to the "x" value

Find the distance between the points. (2,3) and (-3,-6)

Answers

Answer:

D = 10.3

Step-by-step explanation:

Distance Formula = √(x₂-x₁)² + (y₂-y₁)²

D = [tex]\sqrt{(-3-2)^2 + (-6-3)^2}[/tex]

D = [tex]\sqrt{(-5)^2+(-9)^2}[/tex]

D = [tex]\sqrt{25+81}[/tex]

D = [tex]\sqrt{106}[/tex]

D = 10.3

(PLS HELP WILL MARK BRAINLIEST) Which of these is an approximation of 7/9
to the nearest hundredth?

A) 0.078

B, 0.78

C) 1.29

D) 7.8​

Answers

Answer:

B

Step-by-step explanation:

7/9 = 0.777777...

This rounds to 0.78

B) 0.78 is the answer for this problem
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