Answer:
A factor that is a prime number. In other words: any of the prime numbers that can be multiplied to give the original number. Example: The prime factors of 15 are 3 and 5 (because 3×5=15, and 3 and 5 are prime numbers). See: Prime Number. Prime Factorization.
Answer:
From top to bottom;
1,1,3,3
Step-by-step explanation:
mathematically, for an even function;
f(x) = f(-x)
what this mean is that;
f(-1) = f(1)
f(-3) = f(3)
f(-5) = f(5)
f(-6) = f(6)
so we have it that;
f(-1) = 1
f(-3) = 1
f(-5) = 3
f(-7) = 3
Answer:
a * c^2 = b
Step-by-step explanation:
you would want to multiply both sides of the equation by c^2
a * c^2 = b
That gets you this formula you can then plug your numbers in
Answer:
10.61 cm
Step-by-step explanation:
From the question,
The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.
Volume of a cuboid = 45×volume of a cylinder
lwh = 45×πr²h..................... Equation 1
Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.
make h the subject of the equation
h = lwh/(45πr²).................... Equation 2
Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm
Constant: π = 3.142.
Substitute these values into equation 2
h = (12×18×10)/(45×3.142×1.2²)
h = 2160/203.60
h = 10.61 cm.
Similarity 1.
Midsegments of a triangle and a trapezoid are alike, because their endpoints, are the midpoints of the sides they touch.
similarity 2.
The length of the midsegment of a trapezoid is (large base+small base)/2
whereas, the length of a midsegment of a triangle is base/2.
difference 1:
Midsegments of triangles and trapezoids are different, because we can draw 3 of them in triangles, but only one in trapezoids.
(we can only join the midpoints of the nonparallel sides of a trapezoid to form its only midsegment.)