3x+15= 5x
8y-72= 9y
9a+18= 2a
3b-27= 9b
5c+40= 8c
6c+18= 3c
8c-8= c/1c
5x-10= 2x
2b-16= 8b
7c-35= 5c
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
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<em>Additional comment</em>
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
Answer:
(3/7)^7
Step-by-step explanation:
When multiplying exponents we can use the formula: a^m x a^n = a^m+n.
In this case, we can plug in 3/7 for a, and their respective exponents as m and n.
(3/7)^3 x (3/7)^4= (3/7)^3+4= (3/7)^7
Hope this helps!
:)
Answer:
.3
Step-by-step explanation:
3* 1/10 = .3
.3 is decimal notation
the correct question in attached figure
Let
A1 -------------------------> area rectangular plot=4*9=36 m²
A2 ------------------------- > area square plot=x²
we have that
A1=A2
A2=x²=36---------------> x=√36=6 m
the answer is 6 m
