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:

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Related Questions

f(4) =

If g(x) = 2, x =

Answers

Answer:

f(4)=-10

x=0 if g(x)=2

i hope you will understand it

Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2

Answers

Answer:

The answer is n+2.

Step-by-step explanation:

I hope U like my answer and my answer helped U....

Answer:

n+2 represemts the number of sides in the polygon for the nth member of the sequence

Solve the equation 4(z−3)=2z9+22 using the balancing method.
z=

Answers

Answer:

z = 9

See my attachment below for step-by-step explanation.

Someone answer ASAP no image explanations please I can't see those!

Answers

Answer: The side length is 3in (inches)

Step-by-step explanation:

Since it's a cube, all the sides are the same.

Formula for cube: L x W x H

= 3 x 3 x 3

= 27in

jskaoqlqmsbdnsoqqk
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]

Answers

Answer:

[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]

[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]

[tex]\\ \rm\longmapsto 5(3)[/tex]

[tex]\\ \rm\longmapsto 15[/tex]

5. Classify the number 15.
O Whole, integer, rational, real
Integer, rational, real
O Natural, whole, integer, rational, real
O rational, real

Answers

Answer:

O Natural, whole, integer, rational, real

Step-by-step explanation:

it can be expressed as a fraction of 45/3, which means that it is rational.

it is a whole number because it does not contain a fraction or decimal.

it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc

it is a natural number because it is a positive integer.

and it is an integer because it does not contain a decimal.

Answer: Natural, whole, integer, rational, real

Prove this
sinx/cosecx-cotx = 1+cosx

Answers

Answer:

= sin x

1

cos

x

(

1

+

cos

x

1

+

cos

x

)

-multiply by the conjugate

=

sin

x

+

sin

x

cos

x

1

cos

2

x

-distribute

=

sin

x

sin

2

x

+

sin

x

cos

x

sin

2

x

-use property  

sin

2

x

+

cos

2

x

=

1

=

1

sin

x

+

cos

x

sin

x

-simply

=

csc

x

+

cot

x

=

Right Hand Side

Step-by-step explanation:

A tree casts a shadow of 45 feet. If the angle of elevation to the top of the tree is 50º,
how tall is the tree?

Answers

Answer:

95

Step-by-step explanation:

add 50,45

Help me with this math question plss​

Answers

Answer:

C. 8/17

Step-by-step explanation:

PM = 16+14 = 30 cm

KP= LN = 16×tan45° = 16×1 = 16cm

by using pythagorean theorem, we find :

KM² = PM²+KP²

= 30²+16²

= 900+256

= 1156

=> KM =√1156 = 34cm

so, cos theta = KP/KM = 16/34 = 8/17

Which option is the correct interpretation of this numerical expression?
55 ÷ 5 − 4

the quotient of 55 divided by 5, decreased by 4

four subtracted from the product of 55 and 5

five less than the quotient of 55 divided by 4

fifty-five divided by the difference of 5 and 4

Answers

Answer:

7

Step-by-step explanation:

bc 11×5=55 so you divide it and its 11-4=7 :)

A number of tourist were interviewed on their
choice of
means
of travell Two-thirds said
they had travel by road, 13 by air. 4
the by
both
air and road. If
20 tourist had not travel
road
Represent the information on
on a Vena
diagram:
by either
air
or road. Represent the information on a venn diagram​

Answers

Answer:

A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?

What numbers are 3 units from -2 on a number line?

A number line ranging from negative 10 to positive 10

Select from the drop-down menus to correctly complete the statements.

______is 3 units left from ​-2 ​ on a number line.

______- is 3 units right from ​-2​ on a number line.

The answers are
-1
-5
1
5
please hurry

Answers

Answer:

___-5___is 3 units left from -2 on a number line.

___1___- is 3 units right from -2 on a number line

Find type of angle and solve for x.Please help.

Answers

Step-by-step explanation:

72° and a° is the angle of a straight line so

a+72°=180

a=180-72

a=108°

By using alternate exterior angle definition:

7x+24=180

7x=108-24

7x=84

x=84/7

x=12

Please help me with this problem

Answers

[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]

Answer:

Lies between 3&4

See THE IMAGE FOR SOLUTION

Pringle's variety pack 18 cups for $6.48 cost per cup

Answers

Answer:

0.36

Step-by-step explanation:

Which polynomial is in standard form?
O 2xy + 3x8y4 - 4x4y5 + 9x576
O 8X5 - 5y4 – 2xy + xy
O x3y2–3x2y-9x4y +11x
O 5x?y2 +7x8y5 – 14x3y? +51x2y9

Answers

The polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

How to find the standard form of polynomial?

A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:

4xy² + 2y + 5

Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Therefore, the polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

learn more on polynomial here: https://brainly.com/question/27205112

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Answer: its b

8xy5 -5y4 -2xy5 +x2y

Step-by-step explanation:

I got it right on edge

I'll give brainliest!! I put this up nearly an hour ago and got no answers

Answers

Answer:

The integers are

1st: n

2nd: n + 1

3rd: n + 2

The words in the problem statement translate into

2(n + 1) = 3(n + 2) + 6

Solve for n.

2n + 2 = 3n + 12

n = -10

n + 1 = -9

n + 2 = -8

Step-by-step explanation:

Jocelyn is going to the amusement park, where she has to pay a set price of admission
and another price for tickets to go on each of the rides. The total amount of money
Jocelyn will spend is given by the equation y 3.5x + 28, where y represents the
total amount of money, in dollars and cents, and x represents the number of rides
Jocelyn goes on. What could the number 28 represent in the equation?

Answers

$28 is the set price of admission that she has to pay when entering.

Is 53240 a perfect cube? If not, find the smallest number should 53240
be divide so that the quotient is a perfect cube?

Answers

Answer:

53240 should be divided by 5 to make it a perfect cube.

Step-by-step explanation:

What is the solution to the equation 1/4x - 1/8 = 7/8 + 1/2x ?
A. x = -5
B. x = -4
C. x = 4
D. x = 5​

Answers

Hey there! I'm happy to help!

We want to get all of the variables on the left side and all of the numbers on the right side. This will allow our variable to be isolated so we can see what it is equal to.

1/4x - 1/8 = 7/8 + 1/2x

We add 1/8 to both sides.

1/4x=1+1/2x

We subtract 1/2x from both sides.

-1/4x=1

We divide both sides by -1/4 (same thing as multiplying -4).

B. x=-4

Have a wonderful day and keep on learning! :D

A triangle has three angles. The first angle measures 20 less than a number. The second triangle is three
times the number. The third is the number. What are the measurements of each of the three angles in this
triangle?

Answers

Answer:

first angle is 20, 2nd is 120, 3rd is 40.

Step-by-step explanation:

with these words, "20 less than a number, Three

times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.

How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0

Answers

Step-by-step explanation:

Infinitely many solutions are there....

hope it helps

i need help ;^; please​

Answers

Answer:

80

Good luck :)

Answer:

80

Step-by-step explanation:

[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]

[tex]\sqrt{6400}[/tex]

6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5

          = 2^8 * 5^2

2^4 * 5

16*5 = 80

Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )

= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )

= [tex]\frac{1}{3}[/tex]

Find the 68th multiple of 89, if the 69th multiple is 6141.

Answers

Answer:

6141 - 89 = The 68th multiple (6052)

Simplify
32
O
220
33
O
O

38
O
122
2
0
32

Answers

Answer:

first option

Step-by-step explanation:

Using the rule of exponents

[tex](\frac{a^{m} }{a^{n} }) ^{p}[/tex] = [tex]\frac{a^{mp} }{a^{np} }[/tex] , then

[tex](\frac{2^{5} }{^{2} } )^{4}[/tex]

= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

= [tex]\frac{2^{20} }{3^{8} }[/tex]

A cookie company expanded its standard package of 36 cookies to include 4 extra cookies of a brand new flavor. If all of the cookies from an expanded package were put in a container and one were selected at random, what is the probability that it will be a cookie of the new flavor?

Answers

Answer:

1/9 probability

Step-by-step explanation:

The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9

hey please help i’ll give brain

Answers

Answer:

[tex]8 + x = 2 + 8 \\ 8 + x = 10 \\ x = 10- 8 \\ \\ x = 2 \\ then8 + 2 = 2 + 8 \\ thank \: you[/tex]

Answer:

2

Step-by-step explanation:

8 + 2 = 10, so basically, 10 - 8 = 2. Meaning the missing number to when 8 is added to something to equal 10, would be 2.

Can you answer this, please?

Answers

Answer:  C) 3

Explanation:

The degree of a single variable polynomial is the largest exponent, which in this case is 3.

Answer:

3

Step-by-step explanation:

The degree is the largest exponent in a polynomial

Therefore, the degree in 5x^2 - 4x + 2x^3 is 3

Could you please solve this problem? Thank you so much.​

Answers

Step-by-step explanation:

the answer is in the image above

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