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Westkost [7]
3 years ago
11

Answerrr now. Plsss :)

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer:

Alternate exterior

Step-by-step explanation:

They are on opposite sides and both exterior

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A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,
Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

                                                = 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than  = 10% × 5000

                                                                                         = 0.10 × 5000

                                                                                        = 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x²  + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}

x=\frac{-150\pm \sqrt{20500} }{-2}

x=75-5\sqrt{205} or x=75+5\sqrt{205}

x = 3.41089 ≈ 3.41 feet  or  x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0
3 years ago
Points P, Q, and R are shown on the number line. What is the distance between point P and point Q? P(-76) Q(-24) R(0) A) 52 unit
Amiraneli [1.4K]

Answer:

A) 52 units

Step-by-step explanation:

The length of a line joining 2 points on a number line is given by the difference between the co-ordinates of the 2 points.

Therefore PQ= \left ( Q \right )-\left ( P \right )= \left ( -24 \right )-\left ( -76 \right )= 52

Hence the length of the line is 52 units

4 0
2 years ago
2x+3+x=18 can you guys help the developer solve this
emmainna [20.7K]

2x+3+x=18

2x+x= 3x

3x+3=18

18 - 3 = 15

3x = 15

x = 3

3 0
2 years ago
Read 2 more answers
EASY PLZ HELP!<br> Solve for x. (Show your work)<br> 2x + 3 &gt; 5
m_a_m_a [10]

<u><em>Hi there! </em></u>

<u><em>Answer:</em></u>

<u><em>X>1</em></u>

<u><em>*The answer must have a positive sign and greater than symbol.*</em></u>

Step-by-step explanation:

First, you subtract by 3 from both sides of an equation.

2x+3-3>5-3

Then, you subtract by the numbers from left to right.

5-3=2

2x>2

You can also divide by 2 from both sides of an equation.

\frac{2x}{2}>\frac{2}{2}

Finally, you divide by the numbers from left to right.

2/2=1

<em><u>Final answer is x>1</u></em>

I hope this helps you!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

:D

8 0
2 years ago
Read 2 more answers
Liz got home from school at 4:33. She decided to bake muffins as an after-school snack. It took Liz 55 minutes to prepare and ba
IgorC [24]

Answer:

The muffins were done at 5:28

Step-by-step explanation:

you add 4:33 to 55 minutes knowing well that 60mins makes one hour

4:33

55

5:28

6 0
2 years ago
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