Find the lateral surface area and surface area of a cone with a base radius of 4cm and a slant height of 10cm.

Answers:

AC = 221.37 feet

BC = 181.34 feet

The values are approximate.

=========================================================

Explanation:

Focus on triangle ACD for now.

The 67 degree angle adjacent to angle D helps us find that angle D = 180-67 = 113 degrees.

Let's find the missing angle C.

A+C+D = 180

55+C+113 = 180

C+168 = 180

C = 180-168

C = 12

Now we can use the Law of Sines to find side d, which is opposite angle D. This is the segment AC.

[tex]\frac{\sin(C)}{c} = \frac{\sin(D)}{d}\\\\\frac{\sin(12)}{50} = \frac{\sin(113)}{d}\\\\d\sin(12) = 50\sin(113)\\\\d = \frac{50\sin(113)}{\sin(12)}\\\\d \approx 221.369 190\\\\d \approx 221.37\\\\[/tex]

Segment AC is roughly 221.37 feet long.

Keeping our attention on triangle ACD, let's find side 'a'. This is the segment CD.

[tex]\frac{\sin(C)}{c} = \frac{\sin(A)}{a}\\\\\frac{\sin(12)}{50} = \frac{\sin(55)}{d}\\\\a\sin(12) = 50\sin(55)\\\\a = \frac{50\sin(55)}{\sin(12)}\\\\a \approx 196.995 186\\\\[/tex]

Segment CD is roughly 196.995186 feet long.

----------------------------------------------

Now move onto triangle BCD.

Use the sine ratio to determine side BC.

[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\text{D}) = \frac{\text{BC}}{\text{CD}}\\\\\sin(67) \approx \frac{\text{BC}}{196.995186}\\\\\text{BC} \approx 196.995186*\sin(67)\\\\\text{BC} \approx 181.335025\\\\\text{BC} \approx 181.34\\\\[/tex]

Segment BC is roughly 181.34 feet long.

Answer:

sequence is arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference between consecutive terms.

A geometric sequence has a common ratio between consecutive terms.

given

4 , [tex]\frac{13}{3}[/tex] , [tex]\frac{14}{3}[/tex] , 5 , that is

[tex]\frac{12}{3}[/tex] , [tex]\frac{13}{3}[/tex] , [tex]\frac{14}{3}[/tex] , [tex]\frac{15}{3}[/tex] , then

[tex]\frac{13}{3}[/tex] - [tex]\frac{12}{3}[/tex] = [tex]\frac{14}{3}[/tex] - [tex]\frac{13}{3}[/tex] = [tex]\frac{15}{3}[/tex] - [tex]\frac{14}{3}[/tex] = [tex]\frac{1}{3}[/tex]

there is a common difference d = [tex]\frac{1}{3}[/tex] between consecutive terms

thus the sequence is arithmetic

Answer: If dice is rolled then the possible outcomes are 1,2,3,4,5,6,???

Step-by-step explanation:

if that makes sense

Answer:

Choice D is the correct answer. (I assure you)

{Answer choice B is incorrect.}

The formula for finding the midpoint of a segment is :

( (x₁ + x₂)/2,  (y₁ + y₂)/2). Hence, Option D is correct.

Use the concept of coordinates defined as:

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

Consider two opposite points of a segment (x₁, y₁) and (x₂, y₂).

Then x coordinate of the midpoint of the line joining this point is :

(x₁ + x₂)/2

And y coordinate of the midpoint of the line joining this point is :

(y₁ + y₂)/2

Therefore,

The coordinate of the midpoint of this segment is ( (x₁ + x₂)/2,  (y₁ + y₂)/2)

Hence, Option D is the correct coordinate to find the midpoint.

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Since the tuba creates a 4th harmonic of frequency 116.5 hz, the length of pipe in tuba is 6.57 m

Since the tuba is an closed-pipe instrument, we need to find the frequency of a closed pipe

The frequency of a closed pipe f = nV/4L where

Making L subject of the formula, we have

L = nV/4f

Since the tuba creates the 4th harmonic with frequency 116.5 Hz.

Substituting the values of the variables into the equation, we have

L = nV/4f

L = 9 × 340 m/s/4 × 116.5 Hz

L = 3060 m/s ÷ 466 Hz

L = 6.57 m

So, the length of pipe in tuba is 6.57 m

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Answer:

5.88

Step-by-step explanation:

correct on acellus

Answer:

35 hours

Step-by-step explanation:

1 mile would be 7 hours- 7x5=35

Answer:

118/25 as a fraction hope it helps

Answer:

1 72/100 or 1 18/25 as simplified.

Step-by-step explanation:

100% is 100/100. 172/100 would be the fraction for this, but it is an improper fraction.

Answer:

(x + 7)/(x + 1)

Step-by-step explanation:

Simplify the following:

(x^2 + 11 x + 28)/(x^2 + 5 x + 4)

The factors of 4 that sum to 5 are 4 and 1. So, x^2 + 5 x + 4 = (x + 4) (x + 1):

(x^2 + 11 x + 28)/((x + 1) (x + 4))

The factors of 28 that sum to 11 are 7 and 4. So, x^2 + 11 x + 28 = (x + 7) (x + 4):

((x + 4) (x + 7))/((x + 4) (x + 1))

((x + 7) (x + 4))/((x + 4) (x + 1)) = (x + 4)/(x + 4)×(x + 7)/(x + 1) = (x + 7)/(x + 1):

Answer: (x + 7)/(x + 1)

Next time write the expression how it needs to be, the way you wrote it woould have given a toally different result.

x^2 + 11 x + 28/x^2 + 5 x + 4

Answer:

solving this as you would in algebra 2:

x2+11x+28 / x2+5x+4 = x+7 / x+1

Step-by-step explanation:

solving this as you would in algebra 2:

x2+11x+28 / x2+5x+4

1. on both the top and the bottom you have to find a factor of the last number (in this case 28 and 4) that multiplys to be the number but adds to be the 2nd term (11x and 5x)

2. for the top the two terms would be (x+7) and (x+4). on thebottom half it would be (x+4) and (x+1)

** 7 times 4 equals 28, 7 plus 4 equals 11; 4 times 1 equals 4, 4 plus 1 equals

3. x+4 is common term on both the top side and the bottom half so you cross it out. this leaves us with our answer of: x+7 over x+1

hope this helps:)

Answer:

C just took the test

Step-by-step explanation:

have a good rest of your day

Answer:

c. tan(22.6o) = StartFraction a Over 12 EndFraction

A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.

Answer:

The smallest Number of ppl who bought banana's, number of kids at the park, number of ppl who landed at airport and the biggest is the number of residence in the usa

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

?Can you please explain more??

    ︵‿︵‿୨♡୧‿︵‿︵

Answer:

Penicillium

Step-by-step explanation:

Your answer is option c

Scottish bacteriologist Alexander Fleming is best known for his discovery of penicillin in 1928, which started the antibiotic revolution. For his discovery of penicillin, he was awarded a share of the 1945 Nobel Prize for Physiology or Medicine

Answer:1/3

Step-by-step explanation:

Answer:

3.5 or 3 1/2 m

Step-by-step explanation:

If you divide 10 1/2 by 3 you get 3.5 or 3 1/2. That means if you were to add 3.5 + 3.5 + 3.5 you would get the original length of wood.

Answer:

x = 60°

Step-by-step explanation:

x + 2x + x + 2x = 360

Angles in a parallelogram add up to 360°

6x = 360

x = 60°

Answer: 60

Step-by-step explanation: The angles of a parallelogram alway add up to 360 degrees. We can use this and set the 4 angles (2x,2x,x,x) equal to 360.

2x+2x+x+x=360

6x=360

x=60

Answer:

-4 3/8 thus A. is the answer

Step-by-step explanation:

Simplify the following:

-7/2 - (5/8 + 1/4)

Put 5/8 + 1/4 over the common denominator 8. 5/8 + 1/4 = 5/8 + 2/8:

-7/2 - (5/8 + 2/8)

5/8 + 2/8 = (5 + 2)/8:

-7/2 - ((5 + 2)/8)

5 + 2 = 7:

-7/2 - 7/8

Put -7/2 - 7/8 over the common denominator 8. -7/2 - 7/8 = (4 (-7))/8 - 7/8:

(4 (-7))/8 - 7/8

4 (-7) = -28:

(-28)/8 - 7/8

-28/8 - 7/8 = (-28 - 7)/8:

(-28 - 7)/8

-28 - 7 = -(28 + 7):

(-(28 + 7))/8

| 1 |

| 2 | 8

+ | | 7

| 3 | 5:

Answer: (-35)/8 now converto to a mixed number:

Convert to a mixed number:

-35/8

Divide 35 by 8:

8 | 3 | 5

8 goes into 35 four times. Multiply and subtract:

| | 4 |

8 | 3 | 5 |

- | 3 | 2 |

| | 3 |

The quotient is 4 (the number on top of the bracket) and the remainder is 3 (the number at the bottom of the grid):

| | 4 | (quotient)

8 | 3 | 5 |

- | 3 | 2 |

| | 3 | (remainder) invisible comma

35 = 4×8 + 3

The quotient of 35/8 is 4 with remainder 3, so:

4 3/8

Replace the negative sign:

Answer:  -4 3/8

Answer:

See below ~

Step-by-step explanation:

1.

2.

There are five basic equations which completely describe the cylinder with given radius r and height h:

Sometimes, however, we have a different set of parameters. With this height of a cylinder calculator you can now quickly use ten various height of a cylinder formulas which can be derived directly from the above equations:

Answer:

C. 8

Step-by-step explanation:

Answer:

C 8

Step-by-step explanation:

320/40 = 8

it can also work as:

320:40 divided by 40 =

8:1

The living room area of Monica's home is  0.645 ft².

The floor area of her current home is  1.3975 ft²

The total floor area of Monica's dream home should be 2.150 ft².

Monica wants the living room to be 30% of the total area. Therefore, the living room area will be as follows:

living room area = 30 / 100 × 2.150 = 64.5 / 100 = 0.645 ft²

Her current house has only 65% of the floor area of her dream house. Therefore, the floor area of her current home is as follows:

Floor area of her current home = 65 / 100 × 2.150

Floor area of her current home = 139.75 / 100

Floor area of her current home = 1.3975 ft²

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Answer:

$51.60

Step-by-step explanation:

Answer:

Step-by-step explanation:

640

Answer:

4 true false and 8 short answer

Or 15 true false and 5 short answer

Or 26 true false and 2 short answer

Step-by-step explanation:

let x be the number of true-false questions

   y be the number of short-answer questions

Then we have to solve the equation 3x + 11y = 100

Important: x and y are natural numbers

3x + 11y = 100 ⇔  100 - 11y = 3x

If y=10 ⇒ 100 - 11×10 = −10  = 3x impossible because x ≥ 0

If y=9 ⇒ 100 - 11×9 = 1  = 3x impossible because x is a natural number

If y=8 ⇒ 100 - 11×8 = 12  = 3x ⇒ x = 12/3 = 4

Then (x,y) = (4,8) is a solution to the equation

If y=7 ⇒ 100 - 11×7 = 23  = 3x impossible because x is a natural number

If y=6 ⇒ 100 - 11×6 = 34  = 3x impossible because x is a natural number

If y=5 ⇒ 100 - 11×5 = 45  = 3x ⇒ x = 45/3 = 15

Then (x,y) = (15,5) is a solution to the equation

If y=4 ⇒ 100 - 11×4 = 56  = 3x impossible because x is a natural number

If y=3 ⇒ 100 - 11×3 = 67  = 3x impossible because x is a natural number

If y=2 ⇒ 100 - 11×2 = 78  = 3x ⇒ x = 78/3 = 26

Then (x,y) = (26,2) is a solution to the equation

If y=1 ⇒ 100 - 11×1 = 89  = 3x impossible because x is a natural number

If y=0 ⇒ 100 - 11×0 = 100  = 3x impossible because x is a natural number

Answer:

Just multiply. the numbers that they r showing u is for the surface.

Step-by-step explanation:

I do it all the time and get it right.

PLS GIVE ME BRAINILIEST IT WOULD REALLY HELP ME!

Answer:

2-3 is 1 ~

1 + 4 is 5

5+6 = 11

Step-by-step explanation:

So ur answer is 11.

Answer:

Step-by-step explanation:

1)    3 = (1.2075)^n     where n = number of months     take log of both sides

     log 3 = n log 1.2075

      log3 / log1.2075  = n = 5.82 months