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julsineya [31]
3 years ago
7

Find the perimeter of a rectangle with a length of

Mathematics
1 answer:
Luba_88 [7]3 years ago
4 0

Answer:

P = 8\sqrt{2} + 10 + 2\sqrt{6}

Can only be simplified through calculator using decimal equivalents.

Step-by-step explanation:

The perimeter of a rectangle is the formula P=2l+2w. Here l=4\sqrt{2} and w=5+\sqrt{6}. So the perimeter is:

P= 2l+2w\\P = 2(4\sqrt{2} ) + 2(5+\sqrt{6} )\\P = 8\sqrt{2} + 10 + 2\sqrt{6}


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A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o
kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0
3 years ago
HELP!!!!! I do not understand how to do this! Could someone please explain to me how I would solve this problem?
maks197457 [2]
Yeah man nearly there
3 0
2 years ago
Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Dea
olga_2 [115]

Answer: Badwater is 282 feet below the sea level.

Step-by-step explanation:

Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.

To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.

i.e. The Depth of Badwater from sea-level = 190 feet +92 feet

= 282 feet

Hence, Badwater is 282 feet below the sea level.

3 0
3 years ago
True or false a function can not have a repeat values in the range
SVETLANKA909090 [29]

Answer:

False. false false false false

5 0
3 years ago
12x-5y=20 y=x+4<br> 3x+y=3 x=-y+3
Vladimir79 [104]
Standard form (which I assume is what they want you to turn these into) is y=mx+b.

12x-5y=20 is y=2.4x-4.
Subtract 12x from both sides, -5y=-12x+20.
Multiply both sides by -1, 5y=12x-20.
Divide both sides by 5, y=2.4x-4.

y=x+4 is already in standard form- I'm not quite sure what to do.

3x+y=3 is y=-3x+3.
Subtract 3x from both sides, y=-3x+3.

x=-y+3 is y=-x+3
Ad y to both sides, y+x=3.
Subtract x from both sides, y=-x+3.
4 0
3 years ago
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