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Makovka662 [10]
2 years ago
14

What is the volume of the cylinder?

Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
7 0

The volume of a cylinder with a diameter of 16 feet and height of 10 feet is 2010.62 ft³

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The volume of a cylinder with radius (r) and height (h) is:

Volume = πr²h

Given that h = 10 ft, r = 16/2 = 8 ft

The volume = π * 8² * 10 = 2010.62 ft³

The volume of a cylinder with a diameter of 16 feet and height of 10 feet is 2010.62 ft³

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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Solve the following system of equations by the substitution method.
Dahasolnce [82]

Answer:

Step-by-step explanation:

5x=y+6   --------- equ 1

2x-3y=4  -------- equ 2

5x - 6 = y

y = 5x - 6

substitute in equ 2

2x-3(5x - 6) =4

2x - 3*5x + 3*6 = 4

2x - 15x + 18 = 4

- 13x = 4 - 18

-13x = -14

x = -14/-13

x = 14/13

substitute  in equ 1

5*14/13 = y+6  

70/13 - 6 = y

y =  ( 70 - 78)/13

y = -8/13

6 0
2 years ago
There are 10 marbles in the bag below. 7 of the marbles are red, 1 is purple and 2 are green. A marble is picked at random from
zepelin [54]

Answer:  a) 0.7

               b)  70%

Step-by-step explanation:

a) There are 10 marbles.The red marbles are 7

                so that  7/10

                 then change to decimal 7/10=0.7

b) if we get percentage *100

        so,    7÷10*100%

                 70%                            

7 0
2 years ago
A ribbon is cut into n parts. The length of each part increases such that they form a geometric progression. SPM Given the lengt
emmainna [20.7K]

Answer:

Step-by-step explanation:

Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)

5 0
2 years ago
Mai has 40 tens and how many hundreds
Ipatiy [6.2K]
40 x 10 = 400
400 / 100 = 4
Mai has 4 hundreds.
5 0
3 years ago
Read 2 more answers
Hard ratio question.
MrRa [10]

The amount he should sell for one bottle of the fizzy juice to make the 60% profit is 22 Penny.

<h3>Cost of each juice</h3>

Orange :  Lemonade

  3  :  5

After buying 2 liters of orange juice and 3 liters of lemonade, cost of each;

Increase the ratio to form divisible by 2 and 3; (L.C.M of 2 and 3 = 6)

(3 x 6L)  :  (5 x 6L)

18L  :  30L      

total fizzy juice = 18L + 30L = 48 liters

bottle of orange = (18 L ÷ 2 L) = 9 bottles

bottle of lemonade = (30 L ÷ 3L ) = 10 bottles

cost of orange = 9 x £1.20 = £10.8

cost of lemonade = 10 x £1.50 = £150

Total cost = £10.8 +  £150 =  £25.80 =  2580 P

<h3>Total bottles that will make 48 liters fizzy juice</h3>

250 mL = 0.25 L

0.25L(n) = 48 L

n = 48/0.25

n = 192 bottles

<h3>Cost of each bottle in Penny</h3>

cost = 2580 P/192

cost = 13.44 P

<h3>Amount each bottle should be sold to make a profit of 60%</h3>

A = 100%(initial cost) + 60%(initial cost)

A = 160%(initial cost)

A = 1.6(initial cost)

A = 1.6 x 13.44 P

A = 21.5 P ≈ 22 P

Learn more about profit here: brainly.com/question/1078746

#SPJ1

7 0
2 years ago
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