The surface area of a cone with radius r units and slant height s units is shown below: Surface area = 3.14(rs + 2) Part A: Ifr= 6 units and s = 4 units, write an expression that can be used to calculate the surface area of the cone. (4 points) Part B: What is the surface area of the cone? Show your work. (6 points) ​

Answer:

70.8

Step-by-step explanation:

7.08×10 is 70.8

...............

Answer: slope (m) = - 9/5

Step-by-step explanation:

Find two points = (-4,5) (1, -4)

The slope going uphill is positive and downhill is negative.

Slope m = (y-y)/(x-x)

(5- -4)/-4-1 = - 9/5

Also, start in one point go straight up or down counting, and then go left or right to the other point counting.

9514 1404 393

Answer:

  (b) $0.60

Step-by-step explanation:

The cost is proportional to the number of rolls. It is $3.60/(6 rolls) = $0.60/roll. When you buy a Baker's Dozen, you save the cost of one roll: $0.60.

it's 0.60

have an nice nice nice nice day

Answer:

Line 1 to Line 2:Commutative property of addition

Line 2 to Line 3:Distributive property

Step-by-step explanation:

Line 1: 3(2+9x)  Given

Line 2: 3(9x+2)  Commutative property of addition

Line 3: 27x+6 Distributive property

Answer:

Line 1-Line 2=Commutative property

Line 2-LIne 3=Distributive property

Step-by-step explanation:

Lets solve

[tex]\\ \rm\longmapsto 3(2+9x)[/tex]

[tex]\\ \rm\longmapsto 3(9x+2)[/tex]

[tex]\\ \rm\longmapsto 27x+6[/tex]

Answer:

w-9x/5=y

Step-by-step explanation:

w=9x+5y

subtract 9x from both sides

w-9x=5y

divide by 5y

w-9x/5=y

Answer:

slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.

Step-by-step explanation:

Answer:

7 is the answer hope this helps

Answer:

(1/2)hb = Area of Triangle

s^2 = Area of Square

lw = Area of Rectangle

4s = Perimeter of a Square

2l + 2w = Perimeter of a Rectangle

a + b + c = Perimeter of a Triangle

Answer:

15) n+19<42

16) 3n-16 (less or equal) 8

17) n/2 > n-6

18) 6n-5<2n

Step-by-step explanation:

Answer:

when rounding anything that is or is greater than 5 you round up 1.

4,->7<-08.06

so rounding up 1, 4 would turn into 5.

9514 1404 393

Answer:

Step-by-step explanation:

If we let x and y represent "one number" and "another", respectively, then the given relations are ...

  x = 5 +2y

  xy = 1827

Substituting for x gives a quadratic in y:

  (5 +2y)(y) = 1827

  2y^2 +5y -1827 = 0 . . . . . written in standard form

We can use the quadratic formula to find the positive value of y that satisfies this:

  y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29

  x = 5 +2(29) = 63 . . . . using the above expression for x

The smaller number is 29; the larger number is 63.

Answer:

y + x + 3

Step-by-step explanation:

each point adds an additional 3

B is your answer

Answer:

18

Step-by-step explanation:

424-250 = 174

174/29 = 6

This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18

I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line

Hi ;-)

[tex]x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4[/tex]

Answer:

880 miles

Step-by-step explanation:

352 - 220 = 132

132 ÷ 0.15 = 880

880 miles

Answer:

2 + -3

Step-by-step explanation:

2 - 3 in the form a + b is:

2 + -3

where a = 2

and b = -3

Answer:

Step-by-step explanation:

For [tex]3^5^m[/tex]:

Just like [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex], [tex]3^5^m[/tex] equates to [tex]243^m[/tex].

For [tex]81^m[/tex]:

[tex]81^m[/tex] does not equate to [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex].

For [tex]9^{2.5m}[/tex]:

After applying the exponent rule to the equation, it came out to [tex]9^{2.5m}[/tex].

Answer:

x=3 and x=5

Step-by-step explanation:

x2−8x+15=0

To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−8ab=15

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.

−1,−15−3,−5

Calculate the sum for each pair.

−1−15=−16−3−5=−8

The solution is the pair that gives sum −8.

a=−5b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−5)(x−3)

To find equation solutions, solve x−5=0 and x−3=0.

x=5x=3

hope it helps :)

Answer:

LetmarkedPricebeRsxofelectricfan

∴9%discountonxRupees

andchargestocustomeris728rupees

∴x−1009x=728,10091x=728,91x=728×100,x=756×100=800rupees

Step-by-step explanation:

MP of the fan​ is 2400.

To  find the mp of the fan​.

To buy goods from the shopkeepers in the market which they buy either directly from the manufacturers or through the wholesalers.

Given:

let’s calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

Now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

So, the MP of the fan​ is 2400.

Learn more about profit and loss here:

https://brainly.com/question/24431998

#SPJ2

Answer:

time=distance/speed

time=500/45

time=11.11 sec

Answer:

11 1/9 seconds = time

Step-by-step explanation:

We know that

Distance = rate * time

500 m = 45 m/s * time

Divide each side by 45

500/45 = time

11 1/9 seconds = time

Answer:

[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]

I hope I helped you^_^

Answer:

C

Step-by-step explanation:

hope it helps!!!!!!!!

Answer:

i). 14/75 or 19%

ii). 2/25 or 8%

Step-by-step explanation:

i). Using the combinations formula if repetition is allowed

If n choose r,

(r+n-1)!/r!(n-1)!

Where n is the things we have to pick from and r is the objects we want. We want 2 objects and we have 24 objects to pick from.

So our equation will be

(2+24-1)!/2!(24-1)!

(25)!/2!(23)!,

This gives us 300. So there is 300 possible combinations.

Since we have two independent events, we can multiply two events and divide it by 300 to find the probability.

i) There is 14 good defects and 4 major defects so

[tex] \frac{14 \times 4}{300} = \frac{56}{300} = \frac{14}{75} [/tex]

So the probability is 14/75 or 19%

ii) We can do the same thing in question 1

There is 6 minor defects and 4 major so

[tex] \frac{6 \times 4}{300} = \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]

So this means the probability is 8% or 2/25

The bottom row x axis) is seconds and goes to 6 seconds

Each peak is a heartbeat, there are 9 in the 6 seconds.

A minute is 60 seconds.

60 seconds / 6 seconds = 10

9 beats every 6 seconds x 10 = 90 beats per minute.

The heart rate is 90 beats per minute

Answer:

the airplane needs to travel 400 mph to reach 2000 miles in 5 hours

Step-by-step explanation:

6(4+8)

24+48

72 Answer

hope it helps

Answer:

6(x+8)

when the value of x we s equal to 4, then

6(4+8)

Now, by adding 4 and 8, we get

6(12)

6×12

Now, by multiplying 6 and 12, we get

72

Answer:

-7, -11

Step-by-step explanation:just count down and up how many steps

Answer:

16 2/3 ounces

Step-by-step explanation:

Emmet collected 50 ounces of strawberries along a 3 mile walk, he collected 50/3 = 16 2/3 ounces of strawberries each mile

Answer:

Step-by-step explanation:

$211000 are 100% - 58% = 42% of the (former) income.

Therefore, 1% is 42 times less: 211000/42 = 5023.81,

and the (former) income was 100 times this value, i.e. GHC 502381.