A box has the shape of a rectangular prism with height 28 cm. If the
height is increased by 0.6 cm, by how much does the surface area of
the box increase?
28 στη
16 cm
3.4 cm
Use pencil and paper. Show your work. Then show a second way to
solve the problem. Explain which way you like better and why.
The surface area increases by cm2.

The total surface area of the cone in terms of pi is 360π  square inches

Total surface area of a cone is expressed as

TSA =  πr(r+l)

Given that

radius = 10in

Height = 24in

Get the slant height 'l'.

l² = h²+r²

l² = 24²+10²

l² = 576+100

l² = 676

l = 26in

Substitute the given values into the formula

TSA = pi(10)(10+26)

TSA = pi(36)(10)

TSA = 360π in²

Hence the total surface area of the cone in terms of pi is 360π square inches

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9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

These give rise to two equations. (x and y are in degrees)

  6y +6y +4x = 360

  6y = 2(2x)

Substituting the latter into the former gives ...

  6y +6y +6y = 360

  y = 20 . . . . . . . . . . . . divide by 18

Then using this in the second equation, we have ...

  6(20) = 4x

  30 = x . . . . . . . . divide by 4

The measures of x and y are 30° and 20°, respectively.

Answer:

67/153

Step-by-step explanation:

166.8 in (4,237 mm) (2-door) 188.4 in (4,785 mm) (4-door)

Answer:

16,000$ is the answer

hope it helped

Answer:

Solution

Step-by-step explanation:

the value of the variable which makes an equation a true sentence is called the solution of the equation

The graph in the question is a parabola that opens downwards.

A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions like print(), etc. but you can also create your own functions. These functions are called user-defined functions.

This means that the range of the function is all real numbers less than or equal to the y-intercept of the parabola, which is 0 in this case. Therefore, the range of the function is all real numbers less than or equal to 0.

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Answer:

x = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 6[tex]\sqrt{2}[/tex]

This is the exact value for x. It may be rounded if you wish

Answer:

[tex]x=6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

Substitute the given values into the cosine trigonometric ratio and solve for x:

[tex]\implies \cos(45^{\circ})=\dfrac{6}{x}[/tex]

[tex]\implies \dfrac{\sqrt{2}}{2}=\dfrac{6}{x}[/tex]

[tex]\implies x\sqrt{2}=6 \cdot 2[/tex]

[tex]\implies x\sqrt{2}=12[/tex]

[tex]\implies x=\dfrac{12}{\sqrt{2}}[/tex]

[tex]\implies x=\dfrac{12}{\sqrt{2}}\cdot \dfrac{\sqrt{2}}{\sqrt{2}}[/tex]

[tex]\implies x=\dfrac{12\sqrt{2}}{2}[/tex]

[tex]\implies x=6\sqrt{2}[/tex]

9514 1404 393

Answer:

  (4p)/(7y)

Step-by-step explanation:

The ratio of 4p to 7y is another way of saying the quotient of (4p) and (7y).

  [tex]\boxed{\dfrac{4p}{7y}}[/tex]

Answer:

true

Step-by-step explanation:

20 away from nothing is 20

Answer:

Step-by-step explanation:

20-0=20

Example 1: Suppose you have 20 friends and they are given the choice of choosing a sport from cricket or basketball. All of them decide to play cricket and 0 chooses basketball. So, the total number of students who decided cricket is 20 students(20-0=20).

Example 2: Suppose you have 20 chocolates and you give 0 chocolates to your sister then you have a total of 20 chocolates(20-0=20).

Example 3: Suppose there are 20 students in a class and 0 were absent out of them. So, the total number of students that were present are 20 students(20-0=20).

Example 4: Suppose you have 20 clothes in your wardrobe and you gave 0 clothes for washing. So, the total number of clothes in the wardrobe is 20 clothes(20-0=20).

Answer:

0 and 8.

Step-by-step explanation:

n^2+8n=0

n(-n+8)=0

-n=-8 or n=8 and n=0.

Answer:  19/400

Step-by-step explanation:

4.75% = 4.75/100 (in fractions)

          = 475/10000 (multiply by 100 for both the numerator and denominator)

           = 19 / 400 (divide by 25 for both the numerator and denominator)

How do I know it is 25 for the last step?

Obtain the highest common factor of 475 and 10000. The highest common factor of these two numbers is 25.

Answer:

C

Step-by-step explanation:

Edge 2021

Answer:

c. (y-1)^2=-20(x-3)

Step-by-step explanation:

edge 2021

Answer:

14600

Step-by-step explanation:

Move the point to left and round up to 3 significant figures

If Twelve out of Sixty students are trying out for the spring musical, the percentage of students trying out for the musical is , 20%.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

In above question, if Twelve out of Sixty students are trying out for the spring musical, we have,

Number of students trying out for the musical = 12

Total number of students = 60

Percentage of students trying out for the musical is , [tex]\frac{12}{60} *100[/tex] = 20%

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Answer:

58.8 feet per second

CONVERTING MPH TO FPS

If you are moving at the rate of 40MPH, how many feet do you travel in a second? At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour.

Answer:

linear and increasing

Step-by-step explanation:

since the line still is on (0,0) it's linear. plus it's going up, which is increasing

hope i helped, tell me if you got it right! :)

If

f

(

x

)

=

2

x

4

−

9999999kwwkqkkaosos

Answer:

Step-by-step explanation:

This is a right triangle that has two equal sides - so it is also isosceles.

It can be solved using Pythagoren Theorem.

a²  +  b²  =  c²

In this case a = b

so:  

6²  +  6²  = c²

36 +  36 =  c²

72  =  c²

[tex]\sqrt{72[/tex]  =  [tex]\sqrt{c^{2} }[/tex]

8.49 = c

round to 8.5

This is the length of the flap.

Answer:

1

Step-by-step explanation:

Because 2 times 1 is 2 plus 1 is equal to 3

Answer:

Step-by-step explanation:

Weight of empty bag = 400g

Total Weight of bag = 3070g

Weight of 6 footballs packed = 3070g -400 = 2670

Weight of 1 football = 2670 ÷ 6 = 445g

Answer:

3

Step-by-step explanation:

x² -7x + 12 =0

by factoring:

(x-4)(x-3) = 0

x = 4

x = 3

3<4

Answer:

0

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

She traveled 6.375 miles by train.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here as per question the formula is x × (4+3×4)=34

∴ x×16=34

       x= 6.375

Hence, She traveled 6.375 miles by train.

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Considering the definition of a line, the linear function that represents the total cost when x tickets are ordered is c= 20.5x + 5.50.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Being Total cost= set price per ticket× amount of tickets + 5.50, then:

108=set price per ticket× 5 + 5.50

108 - 5.50= set price per ticket× 5

102.5= set price per ticket× 5

102.5÷5= set price per ticket

20.5= set price per ticket

Finally, the total cost is Total cost= 20.5× amount of tickets + 5.50.

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Answer:

Its letter A

Step-by-step explanation:

the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.

An example of a quadrilateral is a rectangle, which has four vertices that are all 90 degrees apart and parallel sides that are equal to one another. As a result, it is sometimes referred to as an equiangular quadrilateral. The rectangle is a 2D shape with 4 sides, 4 corners, and 4 right angles. The length of each pair of the diagonal sides of a rectangle is equal, with one pair being longer than the other. If all the sides of a rectangle were the same size, the shape would be referred to as a square.

given

Consequently, the rectangle has a length of 10 cm and an area of 60 cm2.

Since,

Area of a rectangle equals length times width

=60=10*breadth

width is 60/10.

= 6 cm in breadth.

the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.

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