HELP PLEASE AND ANSWER WITH STEPS thank you so much

Answer:

correct answer is  b) irrational number

Step-by-step explanation:

Rational number:

Any number which can be expressed in the form of fraction of two integers a/b, denominator b should be non zero. Every integer is a rational number.

irrational number:

Any number which cannot be expressed in the form of fraction of two integers a/b is known as irrational number.

square roots of numbers which are not perfect squares are irrational numbers. Only the square roots of perfect square numbers are rational.

1.the numbers are 34 and 36.

2. Dog's age is 8 years old.

3. the numbers are 15, 16, and 17.

4.the numbers are 64, 66, and 68.

5.the numbers are 20, 21, 22, and 23.

6. the dimensions are length = 45 cm and width = 30 cm.

7.the price before taxes is[tex]\( \frac{825}{1 + 0.10} = 750 \)[/tex].

8. the helmet costs $40, and the bicycle costs [tex]\( 5 \times 40 = 200 \).[/tex]

1. The sum of two consecutive even integers is 70. We can set up the equation as ( x + (x + 2) = 70 ), where ( x ) represents the first even integer. Solving for ( x ), we get ( x = 34 ) and ( x + 2 = 36 ). So, the numbers are 34 and 36.

2. Cat is 5 less than twice Dog's age, and Cat is 11 years old. Let's denote Dog's age as ( d ). The equation is ( 2d - 5 = 11 ). Solving for ( d ), we find ( d = 8 ). So, Dog's age is 8 years old.

3. The sum of three consecutive numbers is 46. Let's denote the smallest number as ( n ). The equation is ( n + (n + 1) + (n + 2) = 46 ). Solving for ( n ), we get ( n = 15 ). So, the numbers are 15, 16, and 17.

4. The equation for the sum of three consecutive even numbers totaling 198 can be written as ( n + (n + 2) + (n + 4) = 198 ), where ( n ) is the smallest even number. Solving for ( n ), we find ( n = 64 ). So, the numbers are 64, 66, and 68.

5. The equation for the sum of four consecutive numbers totaling 86 can be written as ( n + (n + 1) + (n + 2) + (n + 3) = 86 ). Solving for ( n ), we get ( n = 20 ). So, the numbers are 20, 21, 22, and 23.

6. The perimeter of a rectangle is 150 cm, and the length is 15 cm greater than the width. Let's denote the width as ( w ). The perimeter equation is ( 2(w + 15) + 2w = 150 ). Solving for ( w ), we find ( w = 30 ) and [tex]\( \text{length} = w + 15 = 45 \)[/tex]. So, the dimensions are length = 45 cm and width = 30 cm.

7. If the couch costs $825 and there's a 10% sales tax, the price before taxes can be found by dividing the price by [tex]\( 1 + \frac{\text{tax rate}}{100} \)[/tex]. So, the price before taxes is[tex]\( \frac{825}{1 + 0.10} = 750 \)[/tex].

8. Let's denote the cost of the helmet as ( h ). Since the bicycle costs 5 times as much as the helmet, we have[tex]\( \text{bike} = 5h \).[/tex] The total cost is $240, so [tex]\( \text{bike} + \text{helmet} = 240 \)[/tex]. Substituting[tex]\( \text{bike} = 5h \)[/tex], we get ( 5h + h = 240 ), which simplifies to ( 6h = 240 ). Solving for ( h ), we find ( h = 40 ). So, the helmet costs $40, and the bicycle costs [tex]\( 5 \times 40 = 200 \).[/tex]

m∠A=(2x-30)°

m∠B=(x+20)°

m∠C=(x-10)°

Sum of angles of triangle is 180°

So, m∠A+m∠B+m∠C=180°

So, (2x-30)°+(x+20)°+(x-10)°=180°

4x°-40°+20°=180°

4x°-20°=180°

Adding 20° on both sides

So, 4x°-20°+20°=180°+20°

4x°+0°=200°

4x°=200°

To find the value of x,

So, x=200/4

x=50

So, m∠A=(2*50-30)°=100°-30°=70°

m∠B=(x+20)°=50°+20°=70°

m∠C=(x-10)°=50°-10°=40°

Answer:Option C

First option is correct. The equation of the  is [tex](x-2)^{2} +(y-6)^{2} =16[/tex].

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called "center".

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

where,

(h, k) is the coordinate of the center of a circle

(x, y) are the coordinate points

r is the radius of circle.

According to the question

we have

the center of the circle,  (h, k) = (-2, 6)

and the circle passes through the point (-2, 10)

since, the circle passes through point (-2, 10), the radius(r) of the circle is the distance between the points (-2, 6) and  (-2, 10)

⇒ [tex]r =\sqrt{(-2+2)^{2 }+ (6-10)^{2} }[/tex]

⇒ r = [tex]\sqrt{0^{2}+(-4)^{2} }[/tex]

⇒[tex]r = \sqrt{16}[/tex]

⇒[tex]r = 4unit[/tex]

therefore,

the equation of the circle is given by

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

[tex](x-(-2))^{2} +(y-6)^{2} =16[/tex]

[tex](x+2)^{2} +(y-6)^{2} =16[/tex] ..... (1)

[tex]x^{2} +4+4x+y^{2} +12y+36 = 16[/tex]

[tex]x^{2} +y^{2} +4x+12y+24=0[/tex]

Hence, equation 1 represent the equation of circle i.e. [tex](x+2)^{2} + (y-6)^{2} =16[/tex]

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In the analogy posed in the question, 'ready' is to 'prepared' as 'unmindful' is to 'neglectful'. That is, just as being ready is synonymous with being prepared, being unmindful is synonymous with being neglectful.

In English language, there is a type of analogy where a pattern of word pairs is presented and the pattern is to be completed with another pair of words that follows the same relation. In your question, 'ready is to prepared as unmindful is to....', therefore, we are trying to find a word that is to 'unmindful' as 'prepared' is to 'ready'.

When someone is 'ready', it means they are 'prepared'. In a similar way, when someone is 'unmindful', it means they are 'unprepared' or 'neglectful'. Therefore, 'unmindful is to neglectful' is the correct analogy to the given question, following the same pattern as the 'ready-prepared' analogy.

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The question seeks to find a word that is to 'unmindful' as 'ready' is to 'prepared'. This is looking for a word that shares a similar relationship, in this case, the word 'negligent'.

The question is a form of analogy or comparison where you are asked to find a word that is to 'unmindful' as 'ready' is to 'prepared'. In other words, you are looking for a word that has a similar relationship to 'unmindful' as 'prepared' does to 'ready'. When you are 'ready' you are 'prepared'. Therefore, when you are 'unmindful' you can be seen as being 'negligent' because both words signify a lack of attention or thoughtfulness.

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A1. Since we have two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:

We can conclude that the length of the side BC is .

2. To find the area of triangle ABC we are going to use Heron's formula:  

where

is the area of the triangle 

is the semi-perimeter of the triangle 

But first, we are going to find the semi-perimeter of our triangle using the formula: 

We can infer for our triangle and from our previous calculation that , , and . Lets replace those values to find the semi-perimeter of our triangle:

Credit card perks are the perks offered to people by credit card companies in order to lure them to use their bank's credit cards. There can be a variety of perks like- using cards at a gas station can give some points that can be redeemed later. Using cards at certain restaurants can promise cash back offers etc.

So, the correct options are -

B. Miles(Few airlines promise free miles with certain credit card points)

C. Cash back

D. Balance transfer (This facility is also provided by few companies and it can help one save money with its interest-free period)

So, the only option that is not a perk of credit card is A. College points.

Answer:

Balance transfer

Step-by-step explanation:

Answer:

2(5w+7)

Step-by-step explanation:

Hope it helped

The Expressions equivalent to 8w - 9 + 5 - 2w are: 6w-4 and (11w - 1) - (5w + 3).

We have,

8w - 9 + 5 - 2w == 6w - 4

1. 2(3w - 2):

  Distributing the 2, we get: 6w - 4

  Result: Not equivalent to 8w - 9 + 5 - 2w

2. (6w + 3) + (2w - 7):

  Simplifying the parentheses, we get: 8w - 4

  Result: Not equivalent to 8w - 9 + 5 - 2w

3. 6w - 4:

  Result: Not equivalent to 8w - 9 + 5 - 2w

4. (11w - 1) - (5w + 3):

  Simplifying the parentheses, we get: 6w - 4

  Result: Equivalent to 8w - 9 + 5 - 2w

5. 3w + 7 + 3w - 11:

  Combining like terms, we get: 6w - 4

  Result: Equivalent to 8w - 9 + 5 - 2w

6. 10w + 14:

  Result: Not equivalent to 8w - 9 + 5 - 2w

7. 2(5w + 7):

  Distributing the 2, we get: 10w + 14

  Result: Not equivalent to 8w - 9 + 5 - 2w

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the answer is true hope this helps :)

The symbol 'V' before a number usually implies the square root in mathematics. Therefore, the square root of 65 (V65) is approximately 8.06. Hence, the closest number to V65 is 8.

The symbol 'V' before a number often denotes the square root in mathematics. Thus, 'V65' implies the square root of 65. Calculating this gives an approximate value of 8.06. When you compare this value to the options provided: A. 8, B. 9, C. 32 and D. 64, you can see that the closest number to V65 (the square root of 65) is A. 8.

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