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Brilliant_brown [7]
3 years ago
9

ROSSEL

Mathematics
2 answers:
malfutka [58]3 years ago
8 0

Answer:

√41

Step-by-step explanation:

4^2+5^2

16+25=41

√41

Tatiana [17]3 years ago
7 0

Answer:

x=\sqrt{41\\}

Step-by-step explanation:

To do this we need to use the pythagorean theorem.

This theorem states that the a^2+b^2=c^2

where a and b are sides of the triangle and c is the hypotenuse.

This said we can set up the following expression:

4^2+5^2=c^2

Simplify.

16+25=c^2

41=c^2

c=\sqrt{41\\}

c is what we named x, so x=\sqrt{41\\}

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the
Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= \pi r^2h

According to the problem,

\pi r^2 h=25

\Rightarrow h=\frac{25}{\pi r^2}

The surface area of the base of the can is = \pi r^2

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× \pi r^2)

The lateral surface area of the can is = 2\pi rh

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× 2\pi rh)

                                                 =\$2.5 \pi r h

Total cost of metal is C= 2.00 \pi r^2+2.5 \pi r h

Putting h=\frac{25}{\pi r^2}

\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}

\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}

Differentiating with respect to r

C'=4\pi r- \frac{62.5}{ r^2}

Again differentiating with respect to r

C''=4\pi + \frac{125}{ r^3}

To find the minimize cost, we set C'=0

4\pi r- \frac{62.5}{ r^2}=0

\Rightarrow 4\pi r=\frac{62.5}{ r^2}

\Rightarrow  r^3=\frac{62.5}{ 4\pi}

⇒r=1.71

Now,

\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0

When r=1.71 cm, the metal cost will be minimum.

Therefore,

h=\frac{25}{\pi\times 1.71^2}

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0
3 years ago
Two addends
nataly862011 [7]

Answer:

28

Step-by-step explanation:

18+6+4=28

8 0
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What the prime factorization on 75?<br><br>​
nikklg [1K]

Answer:

3*5^2

Step-by-step explanation:

75 is divisible by 3

75/3 = 25

25 is not divisible by 3, but it is divisible by 5.

25 = 5^2.

25/25 = 1. We are done.

3 0
3 years ago
A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that nor
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Answer:

A,B, and C

Step-by-step explanation:

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A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

6 0
3 years ago
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