Answer:
58.077 cubic cm
Step-by-step explanation:
Given that:
- height : 4.8 cm
- radius: 3.4 cm
As we know that, the volume of a conical perfume bottle is as following:
V = (1/3) * π * r² * h
So perfume can the bottle hold is:
V = (1/3) * 3.14 * 3.4² * 4.8 = 58.077 cubic cm
Hope it will find you well
Let the number be x
2/3*x - 2 = 10
or, 2/3 * x =12
or x= 12*3/2
or, x = 18
Answer:
3. 60 ÷ 5 = 12
12 × 3 = 36
7 3/5 hours = 7 hours and 36 minutes
7:36 - 30 = 7:06
7:06 - 42 = 6:24
6:24 ÷ 6 = 1:04
A. 1 1/15 hours
4. fractions are equivalent regardless of the negative sign placement
A. 4/-9 = -4/9
5. 3/2 = 12
4/2 = 16
12 × 16 = 192
C. 192 square feet
7. -2.9a + 6.8 + 4.4a - 7.3 (add -2.9a + 4.4a)
1.5a + 6.8 - 7.3 (subtract 6.8 - 7.3)
1.5a - 0.5
D. 1.5a - 0.5
8. 552.50 × 0.88 = 486.2
486.2 ÷ 7 = 69.457
B. m > 69.45
19. -1/6 + 2/3(9 - 3/4) - 1/2
2/3 × 9/1 = 18/3
2/3 × 3/4 = 6/12
-1/6 + 18/3 - 6/12 - 1/2
-1/6 + 36/6 - 6/12 - 1/2
35/6 - 6/12 - 1/2
70/12 - 6/12 - 1/2
64/12 - 1/2
64/12 - 6/12
B. 58/12
This response is based upon your having had some background in calculus. "dx" is not introduced before that.
Take a look at the sample function y = f(x) = x^2 + 9. Here x is the independent variable; the dependent variable y changes with x.
Now, for a big jump: we consider finding the area under a curve (graph) between x = a and x = b. We subdivide that interval [a,b] into n vertical slices of area. Each of those slices has its own area: f(x)*dx, where dx represents the width of such subarea. f(x)*dx is the actual subarea. To find the total area under the curve f(x) between x= a and x = b, we add up all of these individual subareas between x = a and x = b. Note that the subinterval width is
b-a
dx = ---------- , and that dx becomes smaller and smaller as the number of
n subintervals increases.
Once again, this all makes sense only if you've begun calculus (particularly integral calculus). Do not try to relate it to earlier math courses.
