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irakobra [83]
3 years ago
7

during the new year celebration there are orange, green purple, and blue fireworks. In how many different orders can the differe

nt colors of fireworks appear?
Mathematics
1 answer:
WINSTONCH [101]3 years ago
7 0
There are 256 possible combinations of fireworks, if they can be repeated in each 4 firework combinations.
If they cannot be repeated, there are 24 possible combinations.
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Find the volume of this sphere.<br> Use 3 for TT.<br> V V ~ [?]cm3<br> V = nr3<br> r=6cm
Katen [24]

Answer:

V = 864cm^3

Step-by-step explanation:

Given

r = 6

\pi = 3

Required

The volume of the sphere

This is calculated as:

V = \frac{4}{3} \pi r^3

So, we have:

V = \frac{4}{3} *3 *6^3

V = \frac{4}{3} *3 *216

This gives:

V = 4 *216

V = 864

6 0
3 years ago
Calculate the length of the diagonal of a rectangle whose sides measure : (a) 12 meters and 48 meters (b) 11 centimetres and 60
Serggg [28]
When solving this problem, you need to imagine the diagonal line through the rectangle. This makes two triangles which you can use the pythagorean theorem for. 12 squares plus 48 squared equals 2,448. Find the square root of that at it will be your answer (I don’t have the time to figure it out). 11 squared plus 60 squared is 3,712. Square root tbd... add the label and you’re finished!
7 0
3 years ago
Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

6 0
3 years ago
Read 2 more answers
I need help ASAP plz
musickatia [10]
It will be a c because it is a 90 degree
5 0
3 years ago
Can someone help me find the surface area of this.please​
masha68 [24]

Answer:

The surface area is 552 square cm.

7 0
3 years ago
Read 2 more answers
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