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vladimir2022 [97]
3 years ago
10

Help this is high school mathematics and even though I’m usually good I need a little help it would be nice if you could also pr

ovide how you found the answer
Thank you :)))

Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Step-by-step explanation:

I'm not sure if this correct or not

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A family has a rectangular back yard that measures 5x+4 by 3x-2 they are building a square patio with side lengths that measure
belka [17]

Answer: 14x² - 4x - 17

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The rectangular back yard measures 5x + 4 by 3x - 2. This means that the area of the rectangular back yard would be

Area = (5x + 4)(3x - 2)

Area = 15x² - 10x + 12x - 8

= 15x² + 2x - 8

The formula for determining the area of a square is expressed as

Area = length²

Length of square patio = x + 3

Area of square patio = (x + 3)(x + 3)

= x² + 3x + 3x + 9

= x² + 6x + 9

The expression for the area of grass that will be left in the back yard after the patio is built is

15x² + 2x - 8 - (x² + 6x + 9)

= 15x² + 2x - 8 - x² - 6x - 9

= 15x² - x² + 2x - 6x - 8 - 9

= 14x² - 4x - 17

8 0
3 years ago
A one compartment vertical file is to be constructed by bending the long side of an 8 in 8 in. by 10 10 in. sheet of plastic alo
charle [14.2K]
Th long side of the plastic sheet is bent into a U shape.
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure. 

The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0 
h = 80/32 = 2.5 in

V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³

Answer: h = 2.5 in

6 0
4 years ago
Pls help me this is due in 6 minutes
Nadya [2.5K]

Answer:

Step-by-step explanation:

Clockwise A to Z: 90 degrees

Counter-clockwise A to Z: 270 degrees

Counter-clockwise Z to B: 180

Clockwise Z to B: 180

Clockwise B back to B: 360  

3 0
3 years ago
20 Points + Brainliest. One question. Please answer step-by-step. See image attached.
Marizza181 [45]

Answer:

Find the selling price of each item..

Original price of a bicycle: $1,800.00

Tax: 2%

6 0
3 years ago
2.9 x 10^5 + 8.7 x 10^5
LiRa [457]

Answer:

So this is scientific notation what you do is

2.9x10^5 so you put however many zeros the is powered to 10. See there is a 5 It has to be behind or in front of the decimal you might be saying how do you know if its behind or in front well negative is in front and positive is behind .

<u><em>290,000 </em></u>there was a number already behind the decimal so there you go 5 number behind the decimal.  

Same for the second one

<u><em>290,000</em></u><em>  </em><u><em>870,000</em></u> is your answers so now you add hem together

<em><u>1,160,000 is your final answer </u></em>

Step-by-step explanation:

3 0
3 years ago
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