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just olya [345]
2 years ago
6

A stack of one dozen cookies of diameter 2.5 in. exactly fits in a cylindrical container of volume 29.452 in3. Which is the thic

kness of each cookie?
Mathematics
1 answer:
Flura [38]2 years ago
8 0
<h2>Thickness of each cookie is 0.5 in</h2>

Step-by-step explanation:

   Total volume of cylinder = 29.452 in^{3}

Diameter of cookie = 2.5 in. Exactly 12 cookies fit into the cylindrical cylinder. Let the thickness of cookie be t.

\textrm{Volume of cylinder = }12\textrm{ x Volume of cookie}

29.452=12(\pi (\frac{2.5}{2} )^{2}t )

t=0.5\textrm{ in}

∴ Thickness of each cookie is 0.5 in.

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STALIN [3.7K]
The graph of the parent function f(x<span>) = </span>x2<span> is dashed and the graph of the transformed function </span>g(x) = (x<span> – </span>h)2<span> is solid.

If h=3 the vertex shifts to (3,0). 

If h=-5 the vertex is shifted to (-5,0)

I hope this helps! Sorry no one got back to you in the past few days ):
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3 0
2 years ago
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9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.2
Sladkaya [172]
Assume that the number of apples is x and the number of oranges is y.

For the first given, we know that each apple costs $0.24 and each orange costs $0.8, therefore:
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we also know that the total amount spent is $12, therefore the first equation is as follows:
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You can easily graph these two functions and find a possible combination from the graph (the correct combination would be the intersection between the two lines).


5 0
2 years ago
A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical
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Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical​ store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.

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p = \frac{78}{100} = 0.78

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4 0
2 years ago
A company buys paper clips at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $3.50 p
BlackZzzverrR [31]

Answer:

46 boxes


Step-by-step explanation:

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  • Next 10 boxes can be bought for 5.5*10=55

<em>So for a total of </em><em>20 boxes, </em><em>the cost is 75+55=130</em>

<u>We have remaining 221-130=91</u>


Each additional box costs 3.5, so for 91 dollars, we can get:

\frac{91}{3.5}=26 boxes


So, total 10+10+26=46 boxes can be bought for $221.00

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Use the drop-down menus to complete the paragraph proof. we are given that xy is parallel to zw. if xz is a transversal that int
adoni [48]

Solution:

x y ║ z w→→Given

Also, x z is a transversal, that intercepts x y and z w.

So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.

Also, v is point of intersection of x z and y w.

∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]

So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]




6 0
2 years ago
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