See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
Answer:
5 friends
Step-by-step explanation:
Assuming that each friend gets a serving size, we can simply divide the total number of soda, 40, by the serving size, 8, to get 5.
Answer:
She has walked <u>7233.6 ft</u>
Step-by-step explanation:
13.7 miles ÷ 10 = 1.37 miles
1 mile = 5280 ft
5280 x 1.37 = 7233.6 ft (or 7234 if rounded to the nearest ft)
Answer:
42 degrees warmer.
Step-by-step explanation:
82 - 40 = 42
good luck:)
m∠A = 40
Step-by-step explanation:
Given AB =AC and m∠B = 70
Since AB =AC , Triangle ABC is an isosceles Triangle and the corresponding angles B and C are equal.
So m∠B = m∠C = 70
The sum of the 3 Angles of a triangle is 180°.
=> m∠A + m∠B + m∠C = 180
=> 140 + m∠C = 180
=> m∠C = 40
Hence the answer is m∠C = 40
