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3 years ago

Find the volume of the rectangular prism. 45 cm 15 cm 25 cm

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

Answer:

15 cm trust me its right because I've don't this question in school

Novosadov [1.4K]3 years ago

5 0

Answer:

16875cm³

Step-by-step explanation:

45x15x25= 16875cm³

plz mark me as brainliest.

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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

3 0

3 years ago

Read 2 more answers

Using the scale 1/2 inch = 100 miles, figure out the number

Wittaler [7]

Answer:

50 miles

Step-by-step explanation:

Multiply the given scale numbers by 1/2 to find your answer:

1/2 in = 100 mi

(1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2

1/4 in = 50 mi

5 0

2 years ago

Lindsey Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 814 p

baherus [9]

Answer:

The number of free throws, two-point throw, and three-point throw are 135, 173, and 111 respectively.

Step-by-step explanation:

Let x,y, and z are the numbers of two-point field goals, numbers of three-point field goals, and the number of free-throws (one-point goal) respectively.

The total points= 814

$\Rightarrow 2x+3y+z=814\;\cdots(i)$

As the number of two-point goals was 49 less than double the number of three-point field goals she made.

$\Rightarrow x=2y-49 \;\cdots(ii)$

Again, the number of free goals was 38 less than the number of two-point field goals she made.

$\Rightarrow z=x-38\;\cdots(iii)$

From equations (i) and (iii)

2x+3y+x-38=814

$\Rightarrow 3x+3y=852$

$\Rightarrow x+y=284$

$\Rightarrow 2y-49+y=284$ [using equation (ii)]

$\Rightarrow 3y=333$

$\Rightarrow y=111$

From equation (ii),

$x= 2\times111-38=173$

From equation (iii),

$z=173-38=135$ .

Hence,

The number of free throws, z= 135

The number of two-point throw, x=173

The number of three-point throw, y=111.

3 0

3 years ago

A sphere and cylinder have the same radius and height. The volume of the cylinder is 30m^3. What is the volume of the sphere?

Aleonysh [2.5K]

Answer:

15 is the volume I hope I helped

5 0

3 years ago

A quality control technician checked a sample of 30 bulbs. Two of the bulbs were defective. If the sample was a representative,

bogdanovich [222]

I think that 30 bulbs are expected to be defective.

4 0

3 years ago