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3 years ago

Find the measure of the inscribed angle indicated

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

Answer:

77°

Step-by-step explanation:

there's a rule, look it up

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What is 3 divided by 612?

ratelena [41]

The answer will be 204

8 0

3 years ago

The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.

vfiekz [6]

Answer:

Minimum surface area = $70.77 cm^2$

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container= $54 cm^3$

We have to find the minimum surface areas that this container will have.

Volume of container= $l\times b\times h$

$x\times 2x\times h=54$

$2x^2h=54$

$h=\frac{54}{2x^2}=\frac{27}{x^2}$

Surface area of container= $2(b+l)h+lb$

Because the container does not have lid

Surface area of container= $S=2(2x+x)\times \frac{27}{x^2}+2x\times x$

$S=\frac{162}{x}+2x^2$

Differentiate w.r.t x

$\frac{dS}{dx}=-\frac{162}{x^2}+4x$

$\frac{dx^n}{dx}=nx^{n-1}$

Substitute $\frac{dS}{dx}=0$

$-\frac{162}{x^2}+4x=0$

$4x=\frac{162}{x^2}$

$x^3=\frac{162}{4}=40.5$

$x^3=40.5$

$x=(40.5)^{\frac{1}{3}}$

$x=3.4$

Again differentiate w.r.t x

$\frac{d^2S}{dx^2}=\frac{324}{x^3}+4$

Substitute x=3.4

$\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0$

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area = $\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2$

8 0

3 years ago

Help please and show work

Dafna11 [192]

Answer:

Parallel to two previous parallel lines which creates m < e that equals 41 and m < ff that equals 35

Step-by-step explanation:

Alternate interior angles

4 0

3 years ago

1/2 x + 3 = 15 what is the x

sergey [27]

Answer:

x=24

Step-by-step explanation:

x/2+3=15

-3 both sides

x/2=15−3

15-3=12

x/2=12

12*2=24

x=24

6 0

3 years ago

Read 2 more answers

Plz help me hurry plz<br> Direct variation

Furkat [3]

Answer:

sorry I need some point

Step-by-step explanation:

7 0

3 years ago