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
Answer:
C. 13,248 square units
Step-by-step explanation:
You gotta find measure of bottom leg of the triangle which 92
Then add that to 100
92 + 100 = 192
You multiply 192 by 69
192 x 69 = 13248
In 4 seconds, number of beats = 28
In 1 sec., it is = 28/4 = 7
Now, In 30 seconds, it would be: 30 * 7 = 210
In short, Your Answer would be: 210 beats
Hope this helps!
Answer:
#7 is 4.7
Step-by-step explanation:
Circumference is Pi x diameter
