Which expression is equivalent to 180?​

Which Expression Is Equivalent To 180?

Answers

Answer 1

Answer:

[tex] \sqrt{2.2.3.3.5} [/tex]

Answer 2

[tex]\sqrt{2.2.3.3.5}[/tex] is equivalent to [tex]\sqrt{180}[/tex]. Correct option is 1. First, we look for perfect square factors within 180. We can factor 180 as follows: [tex]\(180 = 2^2 \times 3^2 \times 5\)[/tex]

Next, we can group the perfect square factors together:

[tex]\(180 = (2 \times 3)^2 \times 5\)[/tex]

Since we are taking the square root of 180, we can rewrite it as the square root of its perfect square factors multiplied by the remaining non-perfect square factor:[tex]\(\sqrt{180} = \sqrt{(2 \times 3)^2 \times 5}\)[/tex]

The square root of a perfect square is just the value of the number itself:

[tex]\(\sqrt{180} = 2 \times 3 \times \sqrt{5}\)[/tex]

Finally, we can simplify the expression by multiplying the numbers outside the square root [tex]\(\sqrt{180} = 6\sqrt{5}\)[/tex]

So, the expression [tex]\(6\sqrt{5}\)[/tex] is equivalent to [tex]\(\sqrt{180}\)[/tex], and it represents the positive square root of 180 with any perfect square factors taken outside the square root sign.

To know more about square factors:

https://brainly.com/question/83678

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Related Questions

a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price

Answers

Answer:

40% increase

Step-by-step explanation:

c = final value - initial value

     ------------------------------------

                initial value

112 - 80 = 32

32 / 80 = 0.4

0.4 = 40%

PLEASE HELP ME FAST I WILL GIVE 30 POINTS AND BRAINLIEST AND HEART
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7

10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)

Answers

(f–g)(x)= (3x-13) – (2x²–4x–5)= –2x²+7x-8

(f–h)(x)= (3x-13) – ( 4^x –7) = 3x – 4^x–6

(f+g)(x)= (3x-13) + (2x²–4x–5) = 2x²–x – 18

I hope I helped you^_^

Convert the improper fraction to a mixed number.  32/3​

Answers

Answer:

32/3 = 10 2/3

Step-by-step explanation:

the area of a children’s square playground is 50m squared, what is the exact length of the playground

Answers

Area=50m^2

Let side be a

[tex]\\ \rm\Rrightarrow Area=a^2[/tex]

[tex]\\ \rm\Rrightarrow a^2=50[/tex]

[tex]\\ \rm\Rrightarrow a=\sqrt{50}[/tex]

[tex]\\ \rm\Rrightarrow a=7.1m[/tex]

Answer:

[tex]\displaystyle 5\sqrt{2}\:m.[/tex]

Step-by-step explanation:

Sinse squares are equal in length all around, this formula applies:

[tex]\displaystyle s^2 = A → \sqrt{50} = \sqrt{s^2} \\ \\ 5\sqrt{2} = s[/tex]

Therefore, the length of the playground is [tex]\displaystyle 5\sqrt{2}[/tex] metres.

* Just in case you could not figure out how to find the square root of fifty, here is how using perfect squares:

[tex]\displaystyle \sqrt{50} → \sqrt{2 \times 25} \\ \\ 5\sqrt{2}[/tex]

Sinse we are dealing with measurements, we only want the NON-NEGATIVE root.

I am joyous to assist you at any time.

[tex]\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }[/tex]

Answers

Answer:

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

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \sqrt{a + b} }{ \sqrt{a - b} } + \frac{ \sqrt{a - b} }{ \sqrt{a + b} } \\ squaring \: on \: both \: sides \\ \frac{a + b}{a - b} + \frac{a - b}{a + b} \\ \frac{(a + b) \times (a + b) + (a - b)(a - b)}{(a - b)(a + b)} \\ \frac{ {(a + b)}^{2} + {(a - b)}^{2} }{ {a}^{2} - {b}^{2} } \\ remaining \: in \: attachment[/tex]

[tex]thank \: you[/tex]

help please!!

angle 1 + angle 2 = ?
angle 7 + angle 8 = ?
angle 1 + angle 6 = ?

Answers

Answer:

angle 1 + angle 2 = ∠DEB

angle 7 + angle 8 = ∠NEG

angle 1 + angle 6 = ∠NEA

Complete the set of ordered pairs for the relation.

{(x, y): y = 2 |x + 1| and x {-2, -1, 0, 1, 2}}.

(-2, __)

-2
-3
2

Answers

Answer:

Step-by-step explanation:

[tex]U=\{(x,y)\ \zeta\ y=|x+1| \ and\ x \in \{-2,-1,0,1,2\}\ \}\\\\\begin{array}{|c|c|}x&y\\---&---\\-2&2\\-1&0\\0&2\\1 & 4\\2&6\\---&---\\\end{array}\\\\U=\{(-2,2),(-1,0),(0,2),(1,4),(2,6)\}\\[/tex]

Answer:

2 / (-2,2)

Step-by-step explanation:

find the possible formula for the nth term of sequence 7 11 15 9​

Answers

Answer:

7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.

hope this helped!!!

Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 hours time period what was sofia's average speed ?

Answers

Answer:

65 kph

Step-by-step explanation:

There were a total of 7 hours. So two hours were at 70 and the other 5 hours at 63: the equation would be: (70+70+63+63+63+63+63)/7=65

Anthony travels 48 miles by car in the same time it takes him to travel 12 miles on his
bike. His average rate of speed by car is 24 miles per hour faster than his average rate of speed by bike. What is the average rate of speed for both the car and the bike?

Answers

Answer:

Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.

Step-by-step explanation:

Let the average rate (in miles per hour) at which Anthony travels by car be c and by bike be b.

His average rate of speed by car is 24 miles per hour faster than his average rate of speed on bike. In other words:

[tex]c = b + 24[/tex]

Anthony travels 48 miles by car in the same amount of time it takes him to travel 12 miles by bike.

Recall that distance is given by the rate multiplied by the time t.

Hence, c multiplied by time t equals 48 miles:

[tex]\displaystyle ct = 48[/tex]

Likewise, b multiplied by the same time t equals 12 miles:

[tex]bt = 12[/tex]

Solve. We can multiply the second equation by four:

[tex]4bt = 48[/tex]

Substitute:

[tex]ct = 4bt[/tex]

Divide:

[tex]c = 4b[/tex]

Since c = b + 24:

[tex](b + 24) = 4b[/tex]

Solve for b. Subtract:

[tex]24 = 3b[/tex]

And divide:

[tex]b = 8\text{ miles per hour}[/tex]

Hence, Anthony bikes at an average rate of 8 miles per hour.

Since his average speed by car is 24 miles per hour faster, his average speed by car is 32 miles per hour.

In conclusion, Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.

How would you find x?

Answers

Answer:

the value of x = 61

I hope it's helps you

I’m pretty sure the value of x=61

blue dot located on the number line?

Answers

Answer:

it's 4/5 cause no. of division is 5 and it's on 4 place therefore it's 4/5

Answer:

4/5 is the correct answer

Permudahkan 3/5xy × (-25x²y)

Simplify 3/5xy × (-25x²y)

A) -35x³y²
B) -35x²y²
C) -15x³y²
D) -15x²y²​

Answers

Answer:

C) -15x³y²

Step-by-step explanation:

[tex] \frac{3}{5} xy \: \times ( - 25 {x}^{2} y)[/tex]

[tex] = \frac{3}{5} \times ( - 25) \times x \times {x}^{2} \times y \times y[/tex]

[tex] = - 15 \times {x}^{3} \times {y}^{2} [/tex]

[tex] = - 15 {x}^{3} {y}^{2} (ans)[/tex]

the answer is C)!

i hope this helps! ;)

please help

answer choices

A. (-5, 2)

B. (5, 2)

C. (2, -5)

D (-2, 5)​

Answers

Answer:

The correct choice is option B. (5, 2)

Step-by-step explanation:

The rotation rule of 180° is = (x ,y) -> ( -x , -y) .

Coordinates of C before the rotation are ( -5 , -2) so according to the rule above they will now be = C'( 5 , 2 ) .

Therefore, the ordered pair for C' is (5, 2) after the 180 degrees rotation.

6+ 1 ( 7x17 )-7
im stuck

Answers

Answer:

118

Step-by-step explanation:

6+1(7×17)-7

=6+1(119)-7

=6+119-7

=125-7

=118

Please mark me brainliest.

Answer: 118

Step-by-step explanation:

Given expression

6 + 1 (7 × 17) - 7

Simplify values in the parentheses

=6 + 1 (119) - 7

Simplify by multiplication

=6 + 119 - 7

Simplify by addition/subtraction

=125 - 7

=[tex]\boxed{118}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

IN NEED OF HELP LIKE ASAP!

Answers

Answer:

Below

Step-by-step explanation:

2^-3 / 2^2 is equal to 1 / 2^5

Write the expression in exponential form

     2^-5 = 2^-5

Set the exponents as equal

-5 = -5

So this is true

Hope this helps! Best of luck <3

The answer is 2^-5
Hope it helps

please help easy maths gradient thanks so much

Answers

Answer:

Y-2x=8

Y-x=8/2

Yx=4

Maths gradients

Answer:

b

Step-by-step explanation:

(4x-1)(x^2+3) step by step

Answers

Answer:

4x + x^2 + 3

Step-by-step explanation:

First you are gonna drop the parenthesis. Then you are gonna combine -1 and +3 which gives you +2.

write an equation of the line passing through point (3, -1) and perpendicular to y= -x+1​

Answers

am I supposed to do the picture one or the you type

to complete a continuing pattern,identify pattern rule.true or false?​

Answers

Answer:

true

Step-by-step explanation:

6x+6=-5+3x+17

I need help

Answers

Answer:

Get all the terms with x on the left. Get all the terms without x on the right. Simplify by adding and subtracting the terms without x and adding and subtracting the terms with x. Finally divide to get the value of x.

Step-by-step explanation:

6x+6 =- 5+3x+17

6x+6 -6 =- 5+3x+17 -6

6x = 5+3x+11

6x = 3x + 16

6x - 3x = 3x + 16 -3x

3x = 16

3x / 3 = 16 / 3

x = 15/3 + 1/3

x = 5 1/3

x = 5.33333...

We know that corresponding angles of similar figures are congruent. Based on this example, are corresponding sides of similar figures always congruent?​

Answers

Answer:

no

Step-by-step explanation:

similar figures means that the corresponding angles are congruent and the corresponding sides are similar. this means if ABCD and EFGH are similar, A=E*x, B=F*x, C=G*x, and D=H*x, so they aren't congruent

Factor out the greatest common factor. If the greatest common factor is 1, just retype the
polynomial.
9d^ 2 - 27d^ 5 + 45d^ 3

Answers

Answer:

Below.

Step-by-step explanation:

The GCF of 9 , 27 and 45 = 9.

GCF of the d terms is d^2.

So the GCF of the whole expression is 9d^2.

Factors are 9d^2( 1 - 3d^3 + 5d)

I need help on this problem

Answers

Answer:

x 1 / 2 / 3 / 4 / 5

y -3 / 3 / 11 / 21 / 33

you can figure this put by just putting the equation above in a calculator and replacing all the x's with numbers and press equal the answer is y

example

1^2 + 3(1) -7 = -3

x= 1

y=-3

and you can use those coordinates to graph them

(1,-3) (2,3) (3,11) (4,21) (5,33) and so on

Solve with steps:
2 cos(x) = square root 3 = 0 0

Answers

i am not pretty sure if this is the correct but try

edward has $48 to spend at the grocery store. six cases of soda he has $21 left. how much does one case of soda cost? brainly

Answers

Answer: $4.50

Step-by-step explanation:

48-21=27

27 divided by 6= 4.50

Therefore each case costs 4.50

Answer:

$4.50

Step-by-step explanation:

48 - 21

27

divide by 6

4.50

A club has 34 members,and 18 of them are new。If two new members quit the club,what percentage of the remaining people in the club are not new members?

Answers

Answer:

its still 34 bcs there were 18 new members and 2 left they were new not old so we didn't exactly touch the number 34 so yeah hope i'm correct

Step-by-step explanation:

c. Mr. champing travels 20 km duo East and then 25 km due west. respect to find his position with respect to his starting point. ​

Answers

He will be 5 km west of his starting point

. Define opposite numbers.

Answers

Answer:

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides, or in opposite directions. They look the same except for their signs.

this is based off what I know I hope it helps

select all the ways that the sun supports life on earth

Answers

Answer:

all of the above

Step-by-step explanation:

Answer:

It gives heat and light on the earth.

plants makes food with the help of sunlight.

Animals take warmth by sunlight.etc.

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