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2 years ago

En un salon de 35 alumnos se tiene que hay 4 varones por cada 3 mujeres ?cuantas mujeres hay en el el salon de clases?

Mathematics

1 answer:

love history [14]2 years ago

5 0

Answer:

Step-by-step explanation:

la proporción es 4: 3 y si sigues agregando 4: 3, eventualmente llegarás a 20:15 y 20 + 15 = 35

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What is 2,201,760 in word form

ludmilkaskok [199]

Two million,two hundred one thousand ,seven hundred sixty

6 0

2 years ago

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

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

$Height = 12cm$

$Radius = 6cm$

3 0

2 years ago

The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5) (4 points)

slamgirl [31]

Check the slopes
the first 2 points have slope (3-1) / (5-1) = 2/4 = 1/2
points 2 and 3 slope = 4/2 = 2
3 and 4:- slope = -2/-4 = 1/2
4 and 1:- slope = 4/2 = 2

so we have 2 pairs of opposite sides which are parallel

looks like a parallelogram or a rhombus

if adjacent sides are equal its a rhombus

length betwee pts 1 and 2 = sqrt(2^2 + 4^2) = sqrt20
.. ... ... .. .. .. ...2 and 3 = sqrt(4^2 + 2^2) = sqrt20

so it is a rhombus

8 0

2 years ago

Read 2 more answers

Planes Q and R are parallel. Explain how you know lines a and b are skew.

gizmo_the_mogwai [7]

Answer:

We don't know that they skew but if Q and R are the same length then they aren't. But if Q and R are different lengths then they are skew. It would help to post a picture.

Step-by-step explanation:

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2 years ago

Read 2 more answers

Tell whether each proportion is true or false and prove your answer.

Arte-miy333 [17]

Answer:

the proportion is false

Step-by-step explanation:

5.5/7.5 = 11/15

3.5/7= 1/2

6 0

2 years ago