the lateral surface area of right circular cylinder is 120 pi cm squared and the circumference is 12 cm find the height ​

Answer:

1/4

Step-by-step explanation:

Answer:

2968

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2y³ +  4 - (-3 - 2y³ - y - 5y²) = -2y³ + 4 + 3 + 2y³ + y + 5y²

                                             = -2y³ + 2y³  +5y² + y   + 4 + 3 {combine like terms}

                                             =  5y² +y + 7

Answer:

slope-inercept form: y = 3x + 3        point-slope form: y - 9 = 3(x - 2)

Step-by-step explanation:

slope-intercept form:

y2 - y1 / x2 - x1        

9 - (-6)/ 2 - (-3)      

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

3 = b

y = 3x + 3

point-slope form:

y - 9 = 3(x - 2)

Answer:

93.53m.

Step-by-step explanation:

.

Answer:

[tex](a)\ r = 1in : 9ft[/tex]

[tex](b)\ r = 1 in: 15ft[/tex]

[tex](c)\ r = 1 in: 16ft[/tex]

[tex](d)\ r = 1in:4ft[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The scale of each area

The scale ratio (r) is calculated as:

[tex]r = scale:actual[/tex]

So, we have:

(a)  scale : 13 square inches  and actual : 117 square feet

[tex]r = 13in : 117ft[/tex]

Divide by 13

[tex]r = 1in: 9ft[/tex]

(b) scale : 5 square inches  and actual : 125 square feet

[tex]r = 5in : 125ft[/tex]

Divide by 5

[tex]r = 1in : 25ft[/tex]

(c) scale : 8 square inches  and actual : 128 square feet

[tex]r = 8in : 128ft[/tex]

Divide by 8

[tex]r = 1in : 16ft[/tex]

(d) scale : 12 square inches  and actual : 48 square feet

[tex]r = 12in : 48ft[/tex]

Divide by 12

[tex]r = 1in:4ft[/tex]

Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.

You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

[tex]x=-1,-7[/tex]

Step-by-step explanation:

[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7

Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex]     Evaluate the exponent and multiply 4ac

[tex]x=-8\frac{\sqrt{36} }{2}[/tex]          Subtract b^2 - 4ac and multiply 2a

[tex]x=-8\frac{\sqrt{6} }{2}[/tex]           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

hypotenuse= 9²

so the distance between the 2 points is 81

4²+5²=c²

factor out the square which gives (4+5)²=c²

which makes c=9

answer=81

Answer:

So, Tim spent maximum $ 18 dollars on other things

Step-by-step explanation:

Total spent per day is less than $ 30.

Money spent on food= $ 12

So, the maximum amount amount spent on the things is

= $ 30 - $ 12 = $ 18

So, Tim spent maximum $ 18 dollars on other things.

Answer:

[tex](5\pi ,0)[/tex]

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3= 1+8+27

9+27= 36

Answer:

1,152

Step-by-step explanation:

So here, we shall be removing random numbers

For ease, since the number is divisible by 45: it is advisable to end the selected number with zero

So we have it that;

we are crossing the first 4, 9 and 7

So, we are left with;

51,840

dividing this by 45 will give 1,152

Answer:

C) Chloroplast; thylakoid membrane

Step-by-step explanation:

The question is a biological science question

The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane

The dark reactions take place inside the stroma

Therefore, the correct option is chloroplast; thylakoid membrane

Answer:

142 [tex]cm^3\\[/tex]

Step-by-step explanation:

You have to do [tex](7*5)+(5*3)+(7*3)+(7*3)+(5*7)+(3*5)[/tex].

This equals 142 [tex]cm^3\\[/tex].

Answer:

The answer is 142cm

Step-by-step explanation:

Yes

Replace x in the equation with the x in the solution and see if t equals the y in the solution:

Y = 7-5 = 2

The answer is yes.

Answer:

-5 + 3(7.2 - 3.2) equals 7.

Step-by-step explanation:

The order of operations states the order in which different mathematical operations should be done first, you can use the mnemonic PEMDAS to remember the order to complete each operation. PEMDAS states that the order must be followed as Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction. In the expression -5 + 3(7.2 - 3.2), the three mathematical operations being used are subtraction, multiplication, and parenthesis, so based on PEMDAS, the order to complete them is parenthesis, multiplication, and subtraction. -5 + 3(7.2 - 3.2) = -5 + 3(4) = -5 + 12 = 7, so that is your final answer.

[tex]\displaystyle\bf -5+3(7.2-3.2)=7\\\\1)\:7.2-3.2=4\\\\2)\:4\cdot3=12\\\\3)\:12-5=7[/tex]

Answer:

picture above my answer is the answer you asked

To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answer: 1st one and last one

Step-by-step explanation:

Given:

The polynomial is:

[tex]p(x)=x^2-1[/tex]

To find:

Whether [tex]x=-2[/tex] is a zero of the given polynomial or not.

Solution:

If [tex]x=c[/tex] is a zero of a polynomial, then [tex]f(c)=0[/tex].

We have,

[tex]p(x)=x^2-1[/tex]

Putting [tex]x=-2[/tex] in the given polynomial.

[tex]p(-2)=(-2)^2-1[/tex]

[tex]p(-2)=4-1[/tex]

[tex]p(-2)=3[/tex]

Since [tex]p(-2)\neq 0[/tex], therefore [tex]x=-2[/tex] is not a zero of the given polynomial.

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18

Explanation:

For any 30-60-90 triangle, the hypotenuse is always twice as long compared to the short leg. The short leg is always opposite the 30 degree angle.

The length of x is 6.

'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'

According to the given problem,

Perpendicular = 3

Hypotenuse = x

We know,

sin∅ = [tex]\frac{perpendicular}{hypotenuse}[/tex]

∅ = 30°

⇒ sin30 = [tex]\frac{3}{x}[/tex]

⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex]  [ sin30 = [tex]\frac{1}{2}[/tex] ]

⇒ x = 3 * 2

⇒ x= 6

Hypotenuse = 6

Applying Pythagoras theorem:

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ 6² = 3² + Base²

⇒ 6² - 3² = Base²

⇒ Base² = 25

⇒ Base = √25

⇒ Base = 5

Hence, we can conclude the value of x to be 6.

Learn more about right-angled triangle here:

https://brainly.com/question/3770177

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Answer:

What are the statements?

Step-by-step explanation:

Answer:

20km is in 12.5miles

Step-by-step explanation:

5miles= 8km

12.5miles=xkm

12.5÷5miles=2.5miles

2.5miles/km

2.5×8km=20km

Answer:

A) $35.80

B) $28.64

Step-by-step explanation:

I'm not sure tho it might be wrong

Answer:

I only have the answer for B

Step-by-step explanation:

This is the answer: 1st blank: 7y

2nd blank: 9

3rd blank: 42xy

Answer:

2/6 or 1/3

Step-by-step explanation:

We start off with 5/6 of a cup of syrup in a measuring cup.

Then Wesley pours out 1/2 of the syrup in the measuring cup.

Our equation looks like this:

5/6 - 1/2 = ?

However, we can't use this equation because the denominators (6 & 2) aren't the same. So we will find the LCD (least common denominator).

Mulitiples of 6: 6, 12, 18, 24

Multiples of 2: 2, 4, 6, 8

6 is the LCD for the both of them.

Multiply 3 to the numerator and denominator of 1/2 (because to get from 2 to 6 using multiplication, you mulitiply 3)

1/2 x 3/3 = 3/6

Now we can substitue 3/6 into our original equation and solve it:

5/6 - 3/6 = 2/6

It's better to use the simplified answer, 1/3.

Hope it helps and good luck (●'◡'●)

Answer:

ummm u did not add the statements to the question

Step-by-step explanation:

but a polygon ABCD might not be a rectangle if:

Answer:

Perpendicular, CD has a slope of -5/2

Step-by-step explanation:

Parallel lines have the same slope, perpendicular have slopes that are negative reciprocals, or in other words if one slope is m then the other's slope is -1/m and if it is neither fo those then it is neither parallel or perpendicular.  Also,  if two lines have the same slope you have to make sure they are not the same line.  

Now, to find the slope  when you have two points you use the formula (y2 - y1)/(x2 - x1), where the points are (x1, y1) and (x2, y2).  You can make either point point 1 or point 2.  Just make sure x1 and y1 are from one point and x2 and y2 are from the other point.  

So the two lines are AB and CD.  Since the question asks I will start with CD.  The points are (1,8) and (3,3)  So I will call C point 1 and D point 2.  

(y2 - y1)/(x2 - x1)

(3 - 8)/(3 - 1)

-5/2

Thankfully this is lowest terms.

Now for AB.  A will be point 1 and B will be point 2

(y2 - y1)/(x2 - x1)

(4-2)/(5-0)

2/5

So they are not the same, so what if you take negative 1 over one of the slopes.  

well. -1/(2/5) = -5/2

So these are perpendicular.  

If you would like an explanation for how to find the full equation of a line I can explain that.