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3 years ago

What is the maximum volume of a pyramid that can fit inside a cube with sides that are 18 cm long?

Mathematics

1 answer:

Alex787 [66]3 years ago

7 0

Answer:

972 cm³

Step-by-step explanation:

the maximum volume is

⅓×18³= 972 cm³

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hammer [34]

C is the correct statement

∠CBE and ∠DEB are same side interior angles

6 0

3 years ago

Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

$(x^2-(-4))+(y^2-(-4))=4$

Now, we have that:

$h=-4\\k=-4\\r=\sqrt{4}=2$

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

3 years ago

Craig has a rectangle wooden deck that measures 799 inches by 245 inches that he wants to put a string of lights around. What le

tino4ka555 [31]

Answer:

He should buy lights that are 2088 inches long

Step-by-step explanation:

Craig has a rectangle wooden deck that measures 799 inches by 245 inches.

Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.

He wants to put a string of lights around the deck.

This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.

The perimeter of a rectangle is given as:

P = 2(L + B)

Hence, the length of lights he should buy is:

P = 2(799 + 245) = 2(1044)

P = 2088 inches

He should buy lights that are 2088 inches long.

5 0

3 years ago

If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

Westkost [7]

➳ ye lo isse jyada clear answer nahi de sakti

3 0

3 years ago

Read 2 more answers

Hope bought a jump rope for 3.96 and paid with a 5 dollar bill. How much change did she get back?

erastovalidia [21]

Answer:

1.04 hope this helps

Step-by-step explanation:

$5-3.96=1.04

7 0

3 years ago