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.
_____
<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.
I would say no it’s not correct, the point is not in the correct place
ANSWER
The x-coordinate of the solution to the system of equations is 1.
EXPLANATION
The given equations are:
y = -x - 2
and
y = 2x - 5.
We want to find the x-coordinate of the solution to the system of equations.
We equate the two equations to obtain an equation in x.
This implies that,
2x-5=-x-2
Group similar terms to obtain:
2x+x=-2+5
Simplify
3x=3
Divide both sides by 3.
x=1
The x-coordinate of the solution to the system of equations is 1
You’re given g(x) = x^2 - 5
When asked to find g(9), you’re being told that x=9, since the x in the g(x) was replaced by 9.
So that’s telling you to put 9 in for all x’s:
g(9) = (9)^2 - 5
You then just need to clear up the right hand side.
9^2 - 5 = 81 - 5
= 76
So, g(9) = 76
Answer: 7.5
Step-by-step explanation:
Area of the bottom left triangle = 4x3/2 = 6
Bottom right = 6x3/2 = 9
Top right = 3x4/2 = 6
Top left = 6x3/2 = 9
6+9+6+9 = 30
Each square unit is 4
So the answer should be 30/4 = 7.5
Hope this is correct
