Answer:
124.71
Step-by-step explanation:
V=1
/4h√a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
a,b,c= base sides
h= height
V=1
/4(8)√(6)^4+2(6x6)^2+2(6x6)^2﹣(6)^4+2(6x6)^2﹣(6)^4
V= 124.71
Answer:
This is my answer is
Force=mass × acceleration.
120=mass × 2.
120=2m.
mass=60kg
Answer:
a) 49
b) 84
c) (B) -- always odd
Step-by-step explanation:
We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.
square tiles = n²
circular tiles = 4(n +1)
__
<h3>a) </h3>
7² = 49 square tiles are needed for pattern number 7.
__
<h3>b)</h3>
4(20+1) = 84 circular tiles are needed for pattern number 20.
__
<h3>c) </h3>
The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.
When the pattern number is odd, the total number of tiles will always be odd. (B)
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:
2/2
Step-by-step explanation:
just had to simplify
