All categories

2 years ago

A rectangle is a parallelogram with...

Mathematics

1 answer:

ch4aika [34]2 years ago

6 0

Answer:

A rectangle is a parallelogram with d. four congruent angles

Step-by-step explanation:

A rectangle has four right angles meaning they are congruent.

You might be interested in

This weekend dean spent 1/3 of his time hiking 1/5 of his time sleeping and 0.25 of his time eating . What portion of his time d

Step2247 [10]

Step-by-step explanation:

Convert everything into decimals and add it up

7 0

2 years ago

Integrala x la a treia ori ln la a doua dx va rog

Studentka2010 [4]

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

$\displaystyle \int x^3 \ln(x)^2 \, dx$

Integrate by parts:

$\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du$

where

u = ln(x)² ⇒ du = 2 ln(x)/x dx

dv = x³ dx ⇒ v = 1/4 x⁴

$\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx$

Integrate by parts again:

$\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'$

where

u' = ln(x) ⇒ du' = dx/x

dv' = x³ dx ⇒ v' = 1/4 x⁴

$\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx$

So, we have

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C$

$\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C$

$\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}$

3 0

1 year ago

Find the zero of the function /(x) = 5x-3.

Bad White [126]

Answer:

3/5

Step-by-step explanation:

Set it equal to 0

5x-3=0

Then solve for x

5x=3

x=3/5

Check

5(3/5) - 3

3-3

4 0

2 years ago

kevin has $26 wants to rent bicycle.The bicycle rents for $6.25per hour. How many hours can kevin ride without owing more money

Fudgin [204]

Answer:

I got 4 hours and 16 minutes

Step-by-step explanation:

I divided the amount of money he has ($26) to the amount it takes to rent for one hour ($6.25). To make it more simple you could just say 4 hours worth of rent.

3 0

3 years ago

Read 2 more answers

Eric buys two plants. One plant is 4 inches tall and grows 2 of an inch per week. Another plant is 3 inches tall and grows

Liula [17]

It’s Abe beacuse it grew 7 inch week and 4 tall 2 week.

3 0

2 years ago

Read 2 more answers