Area(A)=192ft^2
Width (W)=?
Length (L)=3W
First we must find what the width and length are to find perimeter (P=2L+2W).
A=LxW
192=(3W)(W)
192=3W^2
192/3=3W^2/3
64=W^2
8=W can only use positive solution of 8 because distance is positive.
L=3W=3(8)=24
P=2L + 2W
P=2 (24)+2 (8)
P=48+16=64ft
Answer:
- (d) (x² + y² + z²)³ = 27x²y²z²
Step-by-step explanation:
<u>Use the identity:</u>
- a³ + b³ + c³ = 3abc if a + b + c = 0
<u>Substitute as follows:</u>
<u>The sum of the cubes is:</u>
- x² + y² + z² = 3(xyz)
![^{2/3}](https://tex.z-dn.net/?f=%5E%7B2%2F3%7D)
<u>Cube both sides:</u>
- (x² + y² + z²)³ = 27x²y²z²
Correct choice is (d)
Answer:
Area = 29284.87 ft²
Step-by-step explanation:
I've drawn a triangle to depict the movement of the dog with the angle and dimensions.
From the attached triangle, we see that the starting point is C, the first point is A and the second point is B.
Let's find the third side from the image using law of cosine.
Thus;
b² = a² + c² - 2ac cos B
Thus;
b² = 180² + 329² - 2(180 × 329)cos 81.5
b² = 32400 + 108241 - 17506.55
b² = 123134.45
b = √123134.45
b = 350.91 ft
We calculate the area of the triangle using heron's formula.
Area = √(p(p − a)(p − b)(p − c))
Where p = (a + b + c)/2 = (180 + 350.91 + 329)/2 = 429.955 ft
Area = √(429.955(429.955 - 180)(429.955 - 350.91)(429.955 - 329)
Area = 29284.886 ft²
To the nearest Hundredth gives;
Area = 29284.87 ft²
Answer:
The answer is 100
Step-by-step explanation:
It's 100 because it's saying that the apples is 75 more grams than the pencil. So we do 25 grams plus 75 grams which gets us 100. If your wondering where I got the 25 from it's from the amount of the pencil.
Answer:
a = -1
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same amount of the same variables.
6a + 5a = -11
(6a + 5a) = -11
(11a) = -11
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Divide 11 from both sides:
(11a)/11 = (-11)/11
a = -11/11
a = -1
a = -1 is your answer.
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