the lateral area of a cone with a diameter of 15 yards is about 287.5 square yards. to the nearest tenth, what is the slant height of the cone in yards?

The value of x is 7.5, not 8. Hence, 8 is not the correct value of x.

The perimeter of a rectangle is expressed as:

Perimeter = 2( length + width )

Given that:
The width of the rectangular playhouse = x feet

The length = x + 3

Perimeter = 36 feet

To determine whether 8 is the value of x, we can set up an equation using the formula for the perimeter of a rectangle.

Perimeter = 2( length + width )

Plug in the given values:

36 = 2( (x+3) + x )

Solve for x:

36 = 2( 2x + 3 )

36 = 4x + 6

4x = 36 - 6

4x = 30

x = 30/4

x = 7.5

Based on the calculation, the value of x is 7.5, not 8.

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The probability of rolling a number greater than 5 is 1/6.

Probability is the ratio that shows the likelihood an event will occur or not from a given set of events.

The total number of faces that have a number greater than 5 = 6.

The total number of faces = 6.

Therefore, the probability of that can be found as shown below:

P( rolling a number greater than 5 ) = The total number of faces that have a number greater than 5/The total number of faces

= 1/6

We have found the probability.

Therefore, we have found that the probability of rolling a number greater than 5 is 1/6.

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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

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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Answer:

2(6x - 1 + 3x + 2) = 2(9x + 1) = 18x + 2

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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Answer:

your anser is 110

Step-by-step explanation:

180 - 70 = 110

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.

Answer:

[tex]\text{Surface area of cylinder is }302\thinspace m^2[/tex]    

Step-by-step explanation:

Given the cylinder with radius 3 m and height 13 m. we have to find the surface area of the cylinder to the nearest square meter.

Radius=3 m

Height=13 m

[tex]\text{Surface area of cylinder is }\\\\=2\pi r(r+h)\\\\=2\times\frac{22}{7}\times3(3+13)\\\\=\frac{132}{7}(16)=301,71\sim302\thinspace m^2[/tex]

[tex]Hence,\text{surface area of cylinder is }302\thinspace m^2[/tex]  

Option 3 is correct.              

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:

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]

Final answer:

Two people walking at 8 mph and 2 mph, respectively, will be 4.5 miles apart in 0.75 hours, or 45 minutes, because they are moving apart at a relative speed of 6 mph.

Explanation:

To calculate the time it will take for two people walking at different speeds to be 4.5 miles apart, we need to find the relative speed at which they are moving apart. The first person walks at 8 miles per hour (mph), and the second person walks at 2 mph. The relative speed is the difference in their speeds, which is 6 mph (8 mph - 2 mph).

We know that they want to be 4.5 miles apart. To find the time (t), we use the formula distance = speed × time, or rearranged to solve for time, time = distance / speed. Plugging in our values we get time = 4.5 miles / 6 mph, which simplifies to 0.75 hours. Therefore, it will take them 0.75 hours or 45 minutes to be 4.5 miles apart.