Given:
length = 6
width = 5
height = 9
Diagonal of a rectangular prism = √(l² + w² + h²)
d = √ 6² + 5² + 9²
d = √ 36 + 25 + 81
d = √ 142
d = 11.916 ROUNDED TO NEAREST WHOLE UNIT D. 12 CM.
Given:
Pyramid base = 12 cm
height = 8 cm
We can use the Pythagorean theorem to look for the slant height because it is the hypotenuse of a right triangle.
a² + b² = c²
a is the height ; b is the base ; c is the slant height.
b = 1/2 of the pyramid base.
b = 12/2 = 6 cm
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c Answer is letted D. 10 cm.
Answer: depends on the type of cracker
Step-by-step explanation:
Answer:
424
Step-by-step explanation:
10 to the second power is 10x10. that gives you 100
multiply 4.24 by 100
you get 424
4.24 (10x10)
4.24x100=424
Hey there! So if you convert feet to cubic feet then first you have to make it all in inches, first 6 feet = 72 inches, now in cubic feet that equals 0.0416667, now all you have to do is round it :D.
I hope this helps!
Answer:
STEP1:Equation at the end of step 1
2y3 - 8y
STEP2:
STEP3:Pulling out like terms
3.1 Pull out like factors :
2y3 - 8y = 2y • (y2 - 4)
Trying to factor as a Difference of Squares:
3.2 Factoring: y2 - 4
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : y2 is the square of y1
Factorization is : (y + 2) • (y - 2)
Final result :
2y • (y + 2) • (y - 2)
