Answer:
the perimeter of the Pentagon is 2.75cm
Step-by-step explanation:
add each side together in decimal form
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
Answer:
Approximately 6.4
Step-by-step explanation:
We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c
:(5^2)+(4^2)=c^2
:25+16=c^2
:41=c^2
:sqrt(41)=6.4=c (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!
<h3>Answer:</h3>
301.6 cubic meters
<h3>Step-by-step explanation:</h3>
A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description.
Volume Formula
A circular cylinder has a volume of 
. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.
Solving for Volume
To solve plug the values into the formula and rewrite the equation.
Next, apply the exponents.
Then, multiply the constants.
Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.
Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.
Answer: He added 4 to a negative 42 and said it was 46 but its supposed to simplify to -38. X=3/5
