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mamaluj [8]
3 years ago
6

A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β so that the cone will have a volum

e of 20 in^3
Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
Volume = area of base *height 

20 = pir^2 *h

20 = 3,14*4*h

h = 20/12,56 = 1,59 rounded 1,6

- using the triangle formed by radius,the height of cup and the slant height of cup so we can writing that

tan ß = h/r so tan ß = 1,6/2 = 0,8

tan ß = 0,8 so ß = arctan 0,8 = 38,6 degrees so 39 degrees 

hope helped 
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Mice21 [21]

Answer:

ill give you the answer once i solve it

Step-by-step explanation:

8 0
3 years ago
Evaluate.
snow_lady [41]

Replace a and b with their given values:

(2(3/5) -1/3) / -6.75/15

2 x 3/5 = 6/5

6/5 - 1/3 = 18/15 - 5/15 = 13/15

13/15 / -6.75/15 = 13/15 x 15/-6.75  = (13 x 15) / (15 x -6.75) = 195/-101.25  = -1 25/27

Answer: -1 and 25/27

8 0
2 years ago
Read 2 more answers
A department​ store, on​ average, has daily sales of ​$28 comma 286.28. The standard deviation of sales is ​$1 comma 500. On​ Tu
wolverine [178]

Answer:

z-score = 4.43,

It is a Good day

Step-by-step explanation:

The provided information is:

Mean = $28,286.28

Standard deviation = $1,500

Let x be the sell of department store on Tuesday.

Then, x = $34,924.62

The z-score is define as:

z=\dfrac{x-\mu}{\sigma}\\\\=\dfrac{34924.62-28286.28}{1500}\\\\=4.43      

Thus, the Tuesday's z-score is 4.43. So this is usually good day.

3 0
3 years ago
Write the equation of a line perpendicular to y= -1/3x + 5 and passes through the point (6, 4).
Levart [38]

Answer:

y = 3x - 14

Step-by-step explanation:

Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

4 = 3(6) + b

4 = 18 + b

-14 = b

Plug in the slope and y intercept into y = mx + b

y = 3x - 14

So, the equation of the line is y = 3x - 14

3 0
2 years ago
Problem We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation E=\dfrac{17}{2
Tanzania [10]

Complete Question

We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

Answer:

a) 0.85 euros

b) 1.18 dollars

Step-by-step explanation:

The equation is given as:

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

E = 17/20D

D = 1 dollar

Hence:

E = 17/20 × 1

E = 0.85 euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

E = 17/20D

E = 1 euro

1 = 17/20D

D = 1 ÷ 17/20

D = 1 × 20/17

D = 1.1764705882 dollars

D = 1.18 dollars

3 0
3 years ago
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