Express the length a, b, c, and d in the figure in terms of the trigonometric ratios of θ.
a = b = c = d =

If the Cylinder's height equals to the diameter of its base , then the fraction of the total surface area of the cylinder to the total surface area of the two bases is 1/3 .

The curved surface area of the cylinder with height "h" and radius "r" is written as ⇒ [tex]2\pi rh[/tex] ;

the area of the top and bottom of the cylinder is ⇒ [tex]\pi r^{2} + \pi r^{2}[/tex] = [tex]2\pi r^{2}[/tex] ;

the total surface area of the cylinder will be ⇒ [tex]2\pi rh[/tex] [tex]+2\pi r^{2}[/tex]  ....equation(1)

it is given that the height of cylinder is equal to the diameter of the base ,

that means ; [tex]h = 2r[/tex]

Substituting the value [tex]h = 2r[/tex] in the equation(1) ,

we get ,

total surface area of cylinder = [tex]4\pi r^{2} +2\pi r^{2}[/tex] = [tex]6\pi r^{2}[/tex]

So , the required fraction is = [tex]\frac{2\pi r^{2} }{6\pi r^{2} }[/tex] ,

On simplifying ,

we get ,

= [tex]\frac{1}{3}[/tex]  .

Therefore , the fraction of two bases to the total surface area is [tex]\frac{1}{3}[/tex] .

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The Angle 2 and angle 8 in the given figure are called as the alternate interior angle and they are equal .

What are Alternate Interior Angles ?

The alternate interior angles are defined as the angles that are formed when a transversal intersects the two coplanar lines.

The alternate interior angles  lie on inner side of parallel lines but they are on the opposite sides of the transversal.

So , From the figure we can conclude that the angle 2 , angle 8 and angle 3 and angle 5 are the alternate interior angles .

Therefore , the angle 2 and 8 are alternate interior angles.

The given question is incomplete , the complete question is

What are the angles 2 and 8 called in the given figure ?

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Answer:

84in

Step-by-step explanation:

Answer:

In the story Dark They Were And Golden Eyed, by Ray Bradbury, a great story that he develops themes of fear, change and symbol and label. The author uses techniques of similes, metaphors and personification that explain and convey them to the reader very powerfully.

Step-by-step explanation:

hope it helps

Answer:

The answer would be -10x-9

We can use the sin (), and cos () functions in C programming to find the sine and cosine values of any problem.

sin( ), cos( ) and tan( ) functions in C are used to find sine, cosine and tangent values.

sinh( ), cosh( ) and tanh( ) functions are used to find hyperbolic sine, cosine and tangent values.

exp( ) function is used to find the exponential “e” to the xth power. log( ) function is used to find the natural logarithm and the log10( ) function is used to find the base 10 logarithms.

The” math.h” header file supports all these functions in the C language.

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Answer:

y = 3x + 5

Step-by-step explanation:

Slope intercept form is

y = mx + b

where m is the slope and b is the y-intercept

Given m = 3 and b = 5

y = 3x + 5

Answer:

this is a problem with no solution look it up if you dont beleve me

Step-by-step explanation:

Answer:

(-0.283, -0.733)

Step-by-step explanation:

There are various ways in which to approximate the solution.  One is to use a graphing calculator and graph the two functions separately, then determine the point of intersection.  The first function has a parabolic graph that opens down, whereas the second function has an exponential graph which heads downward as x increases.

At first try I found that the two graphs intersect in Quadrant III, at approximately (-1/2, -3/4).

Next I used my calculator's CALC tools, specifically that which finds the coordinates of the intersection of two graphs, ending up with these coordinates:  (-0.283, -0.733).  These coordinates are to the nearest thousandths.

If and when you take Calculus, you'll learn Newton's Method for Finding Roots, which doesn't require a graphing calculator.

Answer:

332=y

Step-by-step explanation:

Answer: The ship is going to another planet.

Step-by-step explanation:

I hate i-ready,

Your welcome mate

The peak is located at R=1 according to a power curve analysis. To put it another way, the load and source resistance must match.

The ski area's name needs to be changed first. Squaw is not a kind way to refer to a woman. It is an expression that refers to female genitalia. (a decent slang equivalent in English begins with "c" and rhymes with "runt") During my time as a teacher in an Indian school, I learned this in a very embarrassing manner.

If we suppose that each person weighs roughly 70 kilograms (154 lbs) on Earth, then the power required to simply raise the people is P = W/t, and since W = mgh in this situation, P = W/t = mgh/t = (47,000 people)(70 kg/person).

(2 MW) = (1791222.222 W)(9.8 N/kg)(200 m)/(3600 s).

The complete question is:

Squaw Valley ski area in California claims that its lifts can move 47,000 people per hour.  If the average lift carries people about 200 m (vertically) higher, estimate the maximum total power needed.

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The ratio of yellow paint to mixed paint is 3/5.

A ratio is a comparison or relationship between two amounts of the same quantity to determine how much larger one number is than the other. Where b is not equal to zero, it is written as a/b or a: b. An equality of two ratios is a proportion. In order to write equivalent ratios, proportions are used, which aids in resolving the unknown quantities. As an illustration, a proportion is written as a: b = c: d.

Solution:-

Given,

Amount of yellow paint=3

Amount of blue paint=2

Ratio=yellow paint/total mixed paint

Ratio=3/(3+2)

Ratio=3/5

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Answer:

2 * 0.75 + 0.50 + 4 * 1.25

$7.00

Step-by-step explanation:

Expression

2 * 0.75 + 0.50 + 4 * 1.25

Evaluate

1.50 + 0.50 + 5.00

$7.00

Step-by-step explanation:

a linear relationship or function is described by

y = ax + b

that means that the difference from one y value to the next is defined by a constant ratio of y diff / x diff.

so, the first one is not linear.

because the difference ratios are not constant :

(1-0)/(1-0) = 1

(4-1)/(2-1) = 3

(9-4)/(3-2) = 5

the second one is linear.

the difference ratios are constant :

(1-0)/(1-0) = 1

(4-1)/(4-1) = 1

(9-4)/(9-4) = 1

the third one is not linear.

the difference ratios are not constant :

(3-1)/(3-2) = 2

(9-3)/(4-3) = 6

(27-9)/(5-4) = 18

the fourth one is linear.

the difference ratios are constant :

(5-1)/(4-2) = 4/2 = 2

(9-5)/(6-4) = 4/2 = 2

(13-9)/(8-6) = 4/2 = 2

Answer:

X=9

Step-by-step explanation:

4x+8=40

4x=40-8

4x=32

X=9

Answer:

[tex]\small\mathfrak\green{here \: is \: your \: solution...} \\ \\ \small\mathfrak\green{4(x + 2) = 40} \\ \\ \small\mathfrak\green{4x + 8 = 40} \\ \\ \small\mathfrak\green{4x = 40 - 8 } \\ \\ \small\mathfrak\green{4x = 32} \\ \\ \small\mathfrak\green{x = 32 \div 4} \\ \\ \small\mathfrak\green{x = 8}[/tex]

[tex]\small\boxed{\mathfrak{ Hope \: it \: helps ....}}[/tex]

Answer:

87.5%

Step-by-step explanation:

7 are shaded

8 total boxes are there

7/8= .875

.875*100=87.5%

Answer:

Hypothesis - She is a spoiled brat who has rich parents. But where did they                                                                            get their wealth?

Conclusion - Her parents are hard workers who have made it up the ladder of wealth.

2. If the measure of an angle is 58*, then the angle is acute

Hypothesis - acute angles are from 1* to 89* which makes it the smallest angle. But why when the word acute means severe?

Conclusion - We know that anything below 90* is an acute angle.

This should be a start. I will finish in a sec...

Answer:

1.  Hypothesis:  Lola wants.  

    Conclusion:  Lola gets.

2. Hypothesis:  The measure of an angle is 58°.

    Conclusion:  The angle is acute.

3.  Hypothesis:  The segments are diagonals of a rectangle

    Conclusion:  The segments are congruent.

4.  Hypothesis:  You are a Filipino.

    Conclusion:  You are a God-fearing person.

5.  Hypothesis:  You are a good citizen.

    Conclusion:  You will obey rules and regulations.

Step-by-step explanation:

In a statement, the Hypothesis is the part after the "if", and the Conclusion is the part after the "then".

1.  If Lola wants, then Lola gets.

2.  If the measure of an angle is 58°, then the angle is acute.

3.  If the segments are diagonals of a rectangle, then the segments are congruent.

4.  If you are a Filipino, then you are a God-fearing person.

5.  If you are a good citizen, then you will obey rules and regulations.

ES is 8√2 units from the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given two points from the graph are S(4, 4) and E(-4, -4)

We need to find ES which means the distance between two points in units.

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

√(-4-4)²+(-4-4)²

√(-8)²+(-8)²

√64+64

√64×2

8√2 units.

Hence, ES is 8√2 units from the given graph.

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Answer:

Step-by-step explanation:

he total amount resulting from the addition of two or more numbers, amounts, or items

Answer:

(2/5x+1/5x)+(5/8-1/4)

3/5x+(5/8-2/8)

3/5x+3/8

Answer:

2x^2+1

Step-by-step explanation:

4x^2+2-2x^2-1

Group like terms:

4x^2-2x^2+2-1

2x^2+2-1

2x^2+1

Answer:

2x^2 + 3

Step-by-step explanation:

Subtracting functions is similar to subtracting normal numbers. An easy way to do it is to put one over the other and then combine like terms.

 4x^2 + 2

- 2x^2 - 1

= 2x^2 + 3

Even though it looks like you would do 2-1, the three is because you're adding -(-1) (aka 1) to 2.

Answer:

g=44°

k=70°

h= 136°

m= 110°

Answer:

h= 136°

g=44°

m= 110°

k=70°  

Step-by-step explanation:

Have a nice day!

Answer:

c 1.175 L

Step-by-step explanation:

you just add the two amounts of soap he put into the container and subtract it from the total amount of soap he had, 2 L.

9514 1404 393

Answer:

  x^2 +y^2 +6x -18y +65 = 0

Step-by-step explanation:

The short of it is that you're being asked to rewrite each of these standard-form equations into general form: f(x,y) = 0.

It can save you a little effort if you recall that the square of a binomial is ...

  (a +b)² = a² +2ab +b²

Otherwise, you would use the distributive property to get ...

  (a +b)(a +b) = a(a +b) +b(a +b)

   = a² +ab +ab +b²

   = a² +2ab +b²

__

For the given equation, expanding the squares gives ...

  (x +3)² +(y -9)² = 5²

  (x² +6x +9) +(y² -18y +81) = 25 . . . . . expand the squares

  x^2 +y^2 +6x -18y +65 = 0 . . . . . . . . subtract 25; put in order of decreasing powers of the variables

The cubic equation in factor form f(x) = (x + 7) · (x - 3) · (x - r) contains zeros (- 7 , 0) and (3, 0), for r = 0: f(x) = (x + 7) · (x - 3) · (x - r).

Cubic functions are polynomials with grade 3 and whose standard form is described by the following form:

y = a · x³ + b · x² + c · x + d

Where a, b, c, d are real coefficients. The factor form of a cubic function is described by the following definition:

y = a · (x - r₁) · (x - r₂) · (x - r₃)

Where:

Replace all known variables in factor form of cubic equation: (a = 1, r₁ = - 7, r₂ = 3, r₃ = r)

f(x) = (x + 7) · (x - 3) · (x - r)

Variable r means that there is more than one answer concerning the expression, if we assume that r = 0, then the particular solution is f(x) = (x + 7) · (x - 3) · x.

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Answer:

The answer is D: 7.50 + p = 9.5

Step-by-step explanation:

The cost of the book(7.5) plus the cost of the pen(p) equals the total cost which was 9.5

Answer:

Step-by-step explanation:

slopes and equations:

find the  equation thur ( 6,1 )  and (-2,-3)

find the slope m

m = (y2-y1) / (x2-x1 )

m = (-3 - 1) / (-2 -6)

m = -4 / -8

m = 1/2

now use the point-slope formula with our known slope

y-y1 = m(x-x1)

y-1 = 1/2(x-6)

y - 1 = 1/2x -3

y = 1/2x -3 +1

y = [tex]\frac{1}{2}[/tex]x -2

Find the equation parallel to y = 3x + 6 and thur (0,1)

Parallel means the same slope, the slope is 3 for the equation above.

use the slope-intercept formula again with the point given and the slope 3

y-1 = 3(x -0)

y - 1 = 3x

y = 3x +1

Find the equations perpendicular to 2x + y = 8 and the same y intercept as  4y = x + 3.

put both equations into proper form

y = -2x +6

y = [tex]\frac{1}{4}[/tex]x + [tex]\frac{3}{4}[/tex]

perpendicular means  reciprocal slope and change the sign, the 2nd equation has an intercept of  [tex]\frac{3}{4}[/tex] , so

y = 1/2x + [tex]\frac{3}{4}[/tex]

there you go Amanda  :)

Answer:

215/100

Step-by-step explanation:

it is asking for improper fraction

improper fractions are just the bottom number multiplied by the number outside of the fraction so in this case it is

2*100 which is 200 then add that to the top number

which leaves you with 215/100