100 Points!

Please provide steps.
Solve number 56.

2

Step-by-step explanation:

∫₀⁴ p / √(9 + p²) dp

If u = 9 + p², then du = 2p dp.  So ½ du = p dp.

When p = 0, u = 9.  When p = 4, u = 25.

∫₉²⁵ (½ du) / √u

½ ∫₉²⁵ u^-½ du

½ (2u^½) |₉²⁵

√u |₉²⁵

√25 − √9

5 − 3

2

2

Step-by-step explanation:

We will use a u substitution

Let u = 9+p^2

du = 2p dp

The lower limit becomes

u = 9+0^2 = 9

The upper limit becomes

u = 9+4^2 = 25

   where a is 25

We know the intergral of 1 / sqrt(u)  is  sqrt(u)/ 1/2

1/2 * sqrt(u)/(1/2) evaluated at 25 and 9

sqrt(u)  where u is25 - sqrt(u)  where u is 9

sqrt(25) - sqrt(9)

5-3

2

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

answer: answer is c!

ok i got to organize the

3/15 and 12/55

3*

aha

3*4 equals 12 but not

a: no

b:

8/24 12/35

no

gautie

it's c

5/18 = 25/90

5*5=25

18*5 = 90

hope that you!

one more happy customer!

< 3

step-by-step explanation: