Answer:
Hi hopefully this helps you!
Step-by-step explanation:
To find the area of a circle you can use the formula A = πr^2
The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5
A = π(1.5)^2
= 7.07
Because this is a semicircle, divide this area by 2
= 3.53429 in^2
Add up the area of this semi circle with the area of the rectangle
A = (3.53429) + (3x4)
= 15.53429 in^2
To find the circumference/ perimeter of a circle use this formula C = 2πR
C = 2π(1.5)
= 9.42478 inches
Again because this is a semicircle, divide by 2
= 9.42478 / 2
= 4.71239 inches
To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom
P = 4.71239 + 4 + 4 + 3
= 15.71239 inches
So the final answer would be
A = 15.53 squared inches
P = 15.71 inches
Hope this helps! Best of luck in your studies <3
Answer:
0.667 feet
Step-by-step explanation:
To get the total distance travelled, we would integrate the velocity v(t) equation with respect to time t.
Given that the particle moves from t = 0 to t = 2 seconds
Integrating v(t) = t2 - 1
we get
= t^3/3 - t
substituting the boundaries from t = 0 to t = 2 seconds, we get
= 2^3/3 - 2 - (0^3/3 - 0)
= 8/3 - 2 - 0
= 0.667 feet
Answer: I cannot see the whole question can you take another screenshot or something so I can help you?
Answer:
the rate at which the height of the box is decreasing is -0.0593 cm/s
Step-by-step explanation:
Given the data in the question;
Constant Volume of a rectangular box with a square base = 500 cm³
area of the base increases at a rate of 6 cm²/sec
so change in the area of the base with respect to time dA/dt = 6 cm²/sec
each side of the base is 15 cm long
so Area of the base = 15 cm × 15 cm = 225 cm²
the rate at which the height of the box is decreasing = ?
Now,
V = Ah
dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0
⇒ dh/dt = -hdA/dt / A
we substitute
dh/dt = [ -( 500 / 225 ) × 6 ] / 225
dh/dt = [ -(2.22222 × 6) ] / 225
dh/dt = [ -13.3333 ] / 225
dh/dt = -0.0593 cm/s
Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s
Answer:
I think it would be
Sums
1) a + -5
2) m + -n
Differences
1) 7 - -3
2) a - -5
Step-by-step explanation:
