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3 years ago

Areas of squares whose perimeter is 0.4.

Mathematics

2 answers:

skad [1K]3 years ago

6 0

Answer:

A≈0.01

Step-by-step explanation:

I hope this helps, I just looked it up l.m.a.o

asambeis [7]3 years ago

3 0

Answer:

0.16cm squared

Step-by-step explanation:

area is base times height

the base and height of a square is equal

so it would be 0.4 times 0.4

please mark as brainliest!!!<3

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Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

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Answer: 5x^2 - 5x - 6

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2 years ago

Un joven retira el 25% de sus ahorros y gasta el 33.3% en adornos para su

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Answer:

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Step-by-step explanation:

Step 1

Paso 1

Averiguamos cuánto era el 25% de sus ahorros.

Se nos dice en la pregunta que gastó el 33.3% en decoraciones para su nueva casa y si los adornos cuestan $ 250.00.

Esto significa

33.3 % × x = 250

33.3 x/ 100 = 250

Cruz multiplicar

33.3x = 250 × 100

x = 25.000 / 33.3

x = 750.75075075

Por lo tanto, la cantidad o el costo de los adornos = 33.3% del 25% de sus ahorros = $ 750.8

Paso 2

De la pregunta:

Un joven retira el 25% de sus ahorros y

Por lo tanto:

Sea y = monto total de sus ahorros

25/100 × y = $ 750.8

25y = 100 × 750.8.

y = 100 × 750.8 / 25

y = $ 3003.2

Por lo tanto, tenía $ 3003.2 en su cuenta.

6 0

3 years ago

Areas of squares whose perimeter is 0.4.​

Areas of squares whose perimeter is 0.4.