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Alex73 [517]
3 years ago
12

Need Step by Step answer ASAP pls!!

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer:

Someone is building a garden in their backyard. They have 160 ft of fencing with which to enclose their garden. What are the dimensions of the rectangular garden with maximum area?

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The sum of the reciprocals of two consecutive even integers is 3/4<br> Find the two integers.
Vedmedyk [2.9K]

\Large{ \underline{ \underline{ \bf{ \orange{Solution:}}}}}

Let one of those even numbers be x, Then other even number would be x + 2.

<u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>,</u>

⇛ Their reciprocal add upto 3/4

<u>So</u><u>,</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>write</u><u> </u><u>it</u><u> </u><u>as</u><u>,</u>

⇛ 1/x + 1/x + 2 = 3/4

⇛ x + 2 + x / x(x + 2) = 3/4

⇛ 2x + 2 / x² + 2x = 3/4

<u>Cross</u><u> </u><u>multiplying</u><u>,</u>

⇛ 3(x² + 2x) = 4(2x + 2)

⇛ 3x² + 6x = 8x + 8

⇛ 3x² - 2x - 8 = 0

⇛ 3x² - 6x + 4x - 8 = 0

⇛ 3x(x - 2) + 4(x - 2) = 0

⇛ (3x + 4)(x - 2) = 0

Then, x = -4/3 or 2

☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2

Then, x + 2 = 4

✤ <u>So</u><u>,</u><u> </u><u>The</u><u> </u><u>even</u><u> </u><u>numbers</u><u> </u><u>are</u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>4</u><u>.</u>

<u>━━━━━━━━━━━━━━━━━━━━</u>

4 0
4 years ago
3. A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc
bija089 [108]
Circumference = πd = 3.14*559 = 1755.26
The spokes divide the circumference into 32 arcs. Each arc length is 1755.26/32 = 54.75 mm
4 0
3 years ago
Which number comes first when the numbers are listed from least to​ greatest?
elena55 [62]

Answer:

D

Step-by-step explanation:

-9/2 = -4.5 which is the greatest number from the list

8 0
1 year ago
Which is an example of discrete data?
Sauron [17]

Which is an example of discrete data?

A) number of taxis waiting at the airport

B) volume of water in a glass

C) speed of a boat

D) weight of fish

5 0
3 years ago
Read 2 more answers
Take 2y2 - 3y - 5 from y3 - 6y2 + 5y. Select the correct answer.
madreJ [45]

Answer: y3 -8y2 + 5 (d.)

hope this helps




3 0
4 years ago
Read 2 more answers
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