Alex built a snowman using three snowballs,one small, one medium and one large, with diameters in the ratio 2:3:5.      Although highly unlikely due to the physical properties of snow, suppose the three snowballs were perfectly spherical and stacked vertically, one on top of the other, as shown, with adjacent snowballs sharing a single point of tangency.      If the diameter of the medium snowball was 18 inches, what was the maximum height, in feet, of the snowman Alex built using the three snowballs?

Answers

Answer 1
Answer: (3)/(5)=(18)/(x)

\boxed{\boxed{x=30~in}}

and

(3)/(2)=(18)/(y)

y=12~in

Maximum~~height~~=~~12+18+30~~=~~60~in

them

1~in=(1)/(12)~ft

60~in=5~ft

\boxed{\boxed{\boxed{\therefore~Maximum~~height~~=~~60~in~~=~~5~ft}}}
Answer 2
Answer: ratio\ snowballs:\ \ 2:3:5\n medium\ snowball - 18\ in\n \n x-large\ snowball\n \frac35=\frac{18}x\n 3x=90\n x=30\ in\n\n \n y-small\ snowballs\n \frac23=\frac y{18}\n 3y=36\n y=12\ in\n \n 12+30+18=60\ in\n \n 1\ in - \frac1{12}\ ft\n 60\ in - z\ ft\n \n z=\frac1{12} \cdot 60= 5\ ft\n Answer: Maximum\ height\ is\ 5\ ft

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What is 420/1000 in simplest form
Is 290 10 times as much as 2,900
Negative 4 minus positive nine

(6h)^8/(6h)^6. can anyone help?​

Answers

Answer:

h^2

Step-by-step explanation:

=6h^8/6h^6

Factor out h

=6h^2/6

=h^2

Which quadrant is point G in?A. Quadrant l
B. Quadrant ll
C. Quadrant lll
D. Quadrant lV

Answers

Quadrant 1 is the top right box
Quadrant 2 is the top left box
Quadrant 3 is the bottom left box
Quadrant 4 is the bottom right box

So Point G is the Quadrant 4 because it is in the bottom right box.
It is in quadrant IVTry to label the quadrants starting from top right and move counterclockwise

What is the standard deviation of the data? Round to thenearest whole number.
O 65
O 75
O100 O130

Answers

Answer:

100

Step-by-step explanation:

Julie's savings account has a balance of $57.85 in January. By March, her balance is 4 times as much as her January balance. Between March and November, Julie deposits a total of $78.45. If she does not withdraw any money from her account, what should Julie's balance be in November?

Answers

January . . . $57.85

March . . . . 4 times as much = 4 (57.85) = $231.40

Deposit  78.45 more . . . ($231.40 + 78.45) = $309.85 .

Notice that "interest" is never mentioned anywhere in this problem.
In other words, it doesn't matter whether Julie's savings account is
in a bucket in the basement, a mayonnaise jar on the porch, under
her mattress, or in a bank that pays no interest.

Without interest, $309.85 is what she does have in November, which
is about right for savings accounts in banks these days.

What her balance should be in November is an entirely different subject.

January . . . $57.85

March . . . . 4 times as much = 4 (57.85) = $231.40

Deposit  78.45 more . . . ($231.40 + 78.45) = $309.85 .

Notice that "interest" is never mentioned anywhere in this problem.
In other words, it doesn't matter whether Julie's savings account is
in a bucket in the basement, a mayonnaise jar on the porch, under
her mattress, or in a bank that pays no interest.

Without interest, $309.85 is what she does have in November, which
is about right for savings accounts in banks these days. i wish it help for all my hard work to answer the question.



Steven has 14 steel balls of equal weight. If he puts 9 of them in one pan of a pan balance and the rest along with a weight of 20 grams in the other pan, the pans balance each other. What is the weight of one steel ball? A) 5 grams B) 14 grams C) 20 grams D) 0.65 grams

Answers

Answer:

Option A - 5 grams

Step-by-step explanation:

9 balls in one side

= 5 balls other side with 20 gram

5 + 4 balls one side

= 5 + 20 grams other side

5 + 4 balls

= 5 balls + 20/4

5 gm of I ball weight 9 * 5 = 45

5 * 5 + 20

= 45

Answer:

b = 5 grams

Step-by-step explanation:

Let b represent the weight of one ball.

Then 9b = 20 grams + 5b.

Solving for b, subtract 5b from both sides, obtaining 4b = 20 grams.

Then b = the weight of one steel ball = 5 grams.

Check:  Does 9(5 grams) = 20 grams + 5(5 grams)?

              Does 45 grams = 45 grams?  YES

Put the following events in order from least to most likely. Please help me in this

Answers

Answer:

Colorado Bronze wins

I Am Pat wins

Good Legs Lance wins

Step-by-step explanation:

Put them all as decimals and THEN put them in order. Hope this helps :)

Final answer:

When ordering events from least to most likely, you rank them based on their probabilities which typically range from 0 (impossible event) to 1 (certain event). The event with the smallest value is considered the least likely and the event with the largest value is considered the most likely.

Explanation:

Without specific events provided in your question, I'm unable to put them in order from least to most likely. However, to help you understand how to do this yourself: probabilities of events typically range from 0 (impossible event) to 1 (certain event). Let's use an example. Say we have the following events and their probabilities: A: It will rain tomorrow (0.9), B: A tossed coin will land heads (0.5), C: Drawing a red card from a deck (0.5), and D: Winning the lottery (0.0000001).

You arrange these from least to most likely as follows: D (least likely), B and C (equally likely), and A (most likely).

Learn more about Probability here:

brainly.com/question/22962752

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