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shtirl [24]
3 years ago
13

Melinda wants to have a picture window in the shape of a regular hexagon in her new home. She wants the perimeter of the hexagon

to be at least 9 feet. Write and solve an inequality to find the length of each side of the hexagon.
Mathematics
1 answer:
salantis [7]3 years ago
7 0
6*x<=9
x<=3/2 feey or 1.5 feet
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An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).
lara31 [8.8K]

Answer:

cos Θ = \frac{4}{\sqrt{41} }

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = \sqrt{41}

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = \frac{adjacent}{hypotenuse} = \frac{4}{\sqrt{41} }

5 0
3 years ago
Liwen and Celina shared some plants in a ratio of 5:6. Celina decided to give Liwen 2/3 of her plants, which left her with 21 fe
djyliett [7]

Answer: 231

<u>Explanation:</u>

Liwen    Celina

   5x          6x

5x - 21 = (\frac{2}{3})6x

5x - 21 = 4x

<u>-4x +21</u>   <u>-4x +21 </u>

  x        =        21


Liwen: 5x   = 5(21)   = 105

Celina: 6x   = 6(21)   =<u> 126</u>

                       Total:   231                    

6 0
3 years ago
Solve the equation<br>-2x + 1 = -4x + 9<br>x=​
Vinil7 [7]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

-2x + 1 = -4x + 9

Step 2: Solve for <em>x</em>

  1. Add 4x to both sides: 2x + 1 = 9
  2. Subtract 1 on both sides: 2x = 8
  3. Divide both sides by 2: x = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-2(4) + 1 = -4(4) + 9

-8 + 1 = -16 + 9

-7 = -7

8 0
3 years ago
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juin [17]

Answer:

A) Ian will arrive first.

B) 6 Kilometers

C) 15 Minutes

Step-by-step explanation:

6 0
2 years ago
Math question Plz Help
astraxan [27]

Answer:

-1/3x + 5

Step-by-step explanation:

The slope-intercept is y = mx + b

The m is the slope and b is the y-intercept.

The equation is:

y = -1/3x + 5

4 0
3 years ago
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