The answer is D. SAS, ASA, and SSS show congruent triangles.
Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
You didn't include the actual number in inches.
Answer:
Cost = 616000 DHS per square centimetre.
Step-by-step explanation:
curved surface of a cylinder = 2
rh
r = 7 cm
h = 1400 m = 140000 cm
The outer curved surface area of the cylinder = inner curved surface area of the cylinder
The inner curved surface of the cylinder = 2
rh
= 2 x
x 7 x 140000
= 2 x 22 x 1 x 140000
= 6160000
The inner curved surface of the cylinder is 6160000 square centimetre.
But, the cost of painting is at the rate of 10 DHS per square centimetre.
The inner curved surface of the cylinder = 6.16 x
square centimetre.
cost of painting the inner curved surface area = 
= 616000 DHS per square centimetre
The cost of painting the inner surface is 616000 DHS per square centimetre.