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3 years ago

Spike weighs twice as Snowball. How much does Spike weigh ?

Mathematics

1 answer:

kaheart [24]3 years ago

5 0

Answer:

spike weighs 18lbs

Step-by-step explanation:

doubled means multiply by 2 so 2*9=18

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Please help need answer

Ludmilka [50]

Answer:

A^2 + B^2 = C^2

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3 years ago

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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

A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.

pav-90 [236]

Answer:

8/56

Step-by-step explanation:

Add up all other marble colors then find the difference from the total.

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3 years ago

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Of these integers, -65, -42, 65, and 90, which two are farthest apart on the number line?

Hitman42 [59]

The answer is C and its because they are the farthest apart from each other.

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3 years ago

Find the number which divides 200 and 136 leaving 8 as remainder.

marta [7]

Two ways to find.
1. Find n Natural numbers that 136/n gives reminder 8. and check with 200. Bad Way.
2. Logic way. ... Find Greatest common divisor of 200+8 and 136+8. GCD(208;144)=(64;144)=(64;80)=(64;16). 64 is divisible by 16 so 16 is the answer . check 200/16 reminder 8 so 136/8

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3 years ago

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