the area of a rectangle garden is 60ft^2. the length is an irrational number. explain why or why not the width must be a fraction, whole number, irrational number, or non-real number.

Answers

Answer 1

Answer: area of a rectangle is given by the formula length x width

length x width = 60ft^2

if the length is an irrational number then most likely the width can be one too
for example
length = 60^1/2
then width must be 60^1/2
since 60^1/2 * 60^1/2 = 60ft^2

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Find the slope between the two points: (9,9) and (12,15)

Answers

The slope formula is $(Y2-Y1)/(X2-X1)$ . For the two points, $(x,y)$ . You can pick any of the Y and X from these two points, but only once. $(9-15)/(9-12)$ = $(-6)/(-3)$ = 2 or $(15-9)/(12-9)$ = $(6)/(3)$ = 2 and both will equal to. The answer for the slope is 2.

Slope = Change in y / Change in x

Between (9, 9) and (12, 15).

We would use the coordinates from the second point minus that from the first point.

1st point = (9, 9), 2nd point = (12, 15)

Slope = (15 - 9) / (12 - 9)

= 6 / 3

= 2

Slope = 2

If a rectangle measures 20 meters by 48 meters, what is the length, in meters, of the rectangle?

Answers

P of a rectangle= 2l + 2w

P = 2(48) + 2(20)
P= 96 + 40
P= 136m

The length of the rectangle is 136 meters.

I hope that helped.

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tracking them. Since then, there have been as many new trees each year. Create the sigma notation showing the infinite growth of the trees and find the sum, if possible. Year New trees 1 1000 2 200 3 40

Answers

Answer:

Step-by-step explanation:

There were 1000 trees in the first year and every year new trees are getting added.

The sequence formed for the new trees every year is

Year 1 2 3

New trees 1000 200 40

We see a geometric sequence has been formed by the new trees added

Ratio of the second year and 1st year trees added = $(200)/(1000)=(1)/(5)$

Similarly ratio of trees added in 3rd year to 2nd year = $(40)/(200)=(1)/(5)$

So there is a common ratio of $(1)/(5)$

Explicit formula of a geometric sequence representing growth of the trees by

$T_(n)=a(r)^(n-1)$

where a = number of trees grown first year

r = common ratio

n = number of years

Explicit formula showing the growth of the trees using sigma notation will be

$\sum_(n=1)^(\infty)1000((1)/(5))^(n-1)$

And Formula for number of trees every year will be

$\sum_(n=1)^(\infty)1000+1000((1)/(5))^(n-1)$

$\sum_(n=1)^(\infty)1000[1+((1)/(5))^(n-1)]$

Sum of the trees will be

$S=(a)/(1-r)$

= $(2000)/(1-(1)/(5))$

= $(2000)/((4)/(5) )$

= $(2000* 5)/(4)$

= 2500

Can you tell me what is 15-2x=3x

Answers

15 - 2x = 3x
15 = 3x + 2x
15 = 5x
5x = 15
x = 15/5 = 3

The answer is 3x because first you will add 2x on both sides which will give you 5x on the other side. Then you divide 5x on both sides. 15/5x=3x

You are walking down a road seeking treasure the real branches of into 3 paths a guard stands in each path you only know that only one of the girls is telling the truth and the other two are lying this is what they say guard one the treasure lies down this path guard to no treasure lies down this path seek elsewhere Garth 3 the first guard is lying

Answers

Answer:

Guard Two

Step-by-step explanation:

Guard two has the path to the treasure because he's telling people that there's no treasure. That makes him suspicious because he might want the treasure for himself

Final answer:

This is a logic puzzle wherein the guards' statements are evaluated based on the given criteria: only one guard is truthful. Upon analysis, we find that only the path guarded by Guard 2 aligns with this criteria, indicating that this is the path you should take to find the treasure.

Explanation:

This is a classic logic problem, often called the 'Liar and Truth-Teller' puzzle. Here's how we can tackle it:

Guard 1 says: 'The treasure lies down this path.'

Guard 2 says: 'No treasure lies down this path, seek elsewhere.'

Guard 3 says: 'The first guard is lying.'

Since we know that only one guard is telling the truth, let's consider if Guard 1 tells the truth. If so, Guard 2 and Guard 3 would be lying, which contradicts the statement of Guard 3 (who confirms Guard 1's statement as a lie).

If Guard 2 is telling the truth (which means there's no treasure on his path), then both Guard 1 and Guard 3 would be lying, which fits our criteria.

If Guard 3 told the truth, this would mean that Guard 1 is lying, but then Guard 2 would also be telling the truth--this contradicts our initial information (only one guard is truthful).

So, based on these evaluations, you should take the path guarded by Guard 2 because he's the only one telling the truth according to the given criteria.

Learn more about Logic Puzzle here:

brainly.com/question/15483103

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Two cards are randomly selected, without replacement, from a standard deck of playing cards. What is the probability of first picking a five and then picking a card other than a five? I'm having a time with determining which formula to use?

Answers

When the deck is fresh, it has 52 cards, and 4 of them are fives.
The probability of picking a five is ( 4 / 52 ).

Now the deck has 51 cards in it, and 48 of them are not fives.
The probability of picking a not-five is ( 48 / 51 ).

The probability of both successes in order is

( 4/52 ) x ( 48 / 51 ) = 7.24 % (rounded)

I have no idea which formula to use. Let me know if my answer is wrong.

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