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Anna11 [10]
3 years ago
5

A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has

Mathematics
1 answer:
Aliun [14]3 years ago
4 0

Answer:

2 feet

Step-by-step explanation:

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Which equation represents the value of x? x=100−y2−−−−−−−√ x=10+y2 x=10−y x=y2+100−−−−−−−√ Right triangle A B C with angle B as
Nostrana [21]

Answer:

Therefore the required value of x,

x=\sqrt{(100-y^{2})}

Step-by-step explanation:

Given:

ΔBC is a Right Angle Triangle at ∠ B = 90°

As ∠ B = 90° , AC will be the Hypotenuse

AC = 10 = Hypotenuse

BC = y = Longer leg ( say )

AB = x = Shorter leg ( say )

To Find :

x = ?

Solution:

In Right Angle Triangle Δ ABC , By Pythagoras Theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the given values we get

10^{2}= x^{2}+y^{2} \\\\x^{2}=100-y^{2} \\\\\textrm{square rooting on both the side we get}\\\\x=\sqrt{(100-y^{2})}\\\therefore x=\sqrt{(100-y^{2})}\ \textrm{ which is the required value of x}

Therefore the required value of x,

x=\sqrt{(100-y^{2})}

8 0
3 years ago
Find the area of rectangle ABCD
satela [25.4K]

9514 1404 393

Answer:

  D. 12

Step-by-step explanation:

There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the two upper-left points, we find the length of that side to be ...

  d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2

Similarly, the length of the lower-left side is ...

  d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2

Then the area of the rectangle is ...

  A = LW

  A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12

The area of rectangle ABCD is 12.

_____

Other methods include subtracting the area of the corner triangles from the area of the bounding square:

  5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12

4 0
3 years ago
Help ASAP! 25 points! I will also give brainliest!
Kazeer [188]

Answer:

756 m²

Step-by-step explanation:

I just know the answer XD

3 0
3 years ago
A bag contains 4 red marbles and 5 blue marbles. If two marbles are chosen at random, one at a time and without replacement, wha
Law Incorporation [45]

|\Omega|=9\cdot8=72\\ |A|=4\cdot3=12\\\\ P(A)=\dfrac{12}{72}=\dfrac{1}{6}\approx17\%

7 0
3 years ago
3|4x-9=27<br> What does the “x” equal?
AnnyKZ [126]
The answer would be x=2
6 0
3 years ago
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