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earnstyle [38]
3 years ago
14

You buy a cylindrical container of salt with a diameter of 3.25 inches and a height of 5 inches. Your salt shaker is a cylinder

with a diameter of 1 inch and a height of 1.5 inches. How many times can you fill your salt shaker with the container! Round your answer to the nearest whole number.
Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0
First calculate volume of the cylindrical container: Pi * R2 * H; where Pi is 22/7 or 3.147, R is the radius and H is the height of the container.

Vol of the cylindrical container: 3.147 * (3.25/2) * (3.25/2)* 5 = 41.55 inch 3

Volume of the shaker using the above principle:
3.147 * (1/2) * (1/2) * 1.5 = 1.18 inch 3

Number of times it can fill the salt shaker will be the ratio of the volumes:

= Volume of the cylindrical container divided by the volume of the shaker = 41.55 divided by 1.18

Answer is 35 times if rounded in absolute number.
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Trigonometric Identity help​
vovikov84 [41]

Answer:

sin\pi/4 * sin\pi/6 = 1/2 *(cos \pi/12 - cos 5\pi/12)

Step-by-step explanation:

Formula:- sinX sinY = (1/2) [ cos (X - Y) - cos (X + Y) ]

sin(π/4)sin(π/6)

= (1/2)[cos(π/4 - π/6) - cos(π/4 + π/6)]

= (1/2)[cos(3π/12 - 2π/12) - cos(3π/12 + 2π/12)]

= (1/2)[cos(π/12) - cos(5π/12)]

7 0
3 years ago
How do I do this ?????
AleksAgata [21]

Answer:

y=3

Step-by-step explanation:

it says that y is the inverse of x so if x=3 and y=8, so if x=8 than y must equal 3

3 0
3 years ago
Read 2 more answers
Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil
Vanyuwa [196]

Answer:

Probability = \frac{2}{35}

Step-by-step explanation:

Given

Total = 70

First, we need to list the multiples of 5

M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}

Then, multiples of 3M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}

Next, is to list out the common elements in both

M_3\ n\ M_5 = \{15,30,45,60\}

n(M_3\ n\ M_5) = 4

The required probability is then calculated as thus:

Probability = \frac{n(M_3\ n\ M_5)}{Total}

Probability = \frac{4}{70}

Probability = \frac{2}{35}

7 0
3 years ago
David keeps records of his monthly earnings. Last month he worked 120 hours and earned $2700. This month he worked 100 hours and
lianna [129]
F(x) = 20x+300
you sub in the x values (120 hours and 100 hours) for each equation
the only one they both work for is the last one
f(x) = 20x + 300
f(100) = (20 * 100) + 300 = 2000 + 300 = 2300

f(120) = (20 * 120) + 300 = 2400 + 300 = 2700
8 0
3 years ago
Read 2 more answers
The G.CD of the number is 17 and the L.C.M is 140,If one of the number is 20, Find the other number​
Alik [6]

Answer:

HCF Of two nos. is 17

Let another no. be x

we know that HCF ×LCM = Product of two numbers

17×140=20×(x)

20x=2380

x =2380/20

x=119

The other no. is 119

6 0
3 years ago
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