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Pavel [41]
3 years ago
15

How many equilateral triangles with sides of 4 can fit into a larger triangle with sides of 2012

Mathematics
1 answer:
igomit [66]3 years ago
6 0
The base measures 2012 if you divide that by four you get 503 trianles on the bottom and on the sides and each one gets one smaller until you get to one so 503+502+501,.... or 252+251(504) so the answer is 126,756 triangles in total because 1+503=504  2+502=504... when you get to 252 you just add that to itself so that is the odd one out
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In each bouquet of flowers, there are 5 roses and 8 white carnations. Complete the table to find how many roses and carnations t
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40 70 is the right answer ❤️❤️❤️❤️❤️❤️❤️
5 0
3 years ago
What's the additive inverse of 0.75.
Sophie [7]

Answer:

additive \: inverse =  - 0.75

6 0
3 years ago
In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the
PSYCHO15rus [73]

the sum of the internal angles of a triangle are equal to 180 degrees.

once i remembered that the problem became a lot easier.

let a, b, and c be the angles of the triangle.

-----

let a = 2*b

-----

let c = a+b-12

-----

the above two statements are given.

since the sum of the internal angles of a triangle are equal to 180, then we have a third equation to work with which is

-----

a + b + c = 180

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we now have 3 equations for 3 unknowns and we should be able to solve for each of the unknowns.

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it looks like the easiest thing is to solve for b. once we find b, the rest should fall into place very nicely.

-----

since a = 2*b, we can substitute 2*b for a in the equation a + b + c = 180.

that equation then becomes 2*b + b + c = 180 which becomes 3*b + c = 180.

looking at the equation c = a + b - 12, we solve for b as follows:

since we know that a = 2 * b, we can substitute 2*b for a and the equation becomes c = 2*b + b - 12 which becomes c = 3*b - 12.

-----

the equation we are working with is 3*b + c = 180 which originally started as a + b + c = 180.

we can substitute 3*b - 12 for c and the equation becomes

3*b + 3*b - 12 = 180 which becomes 6*b = 192 after adding 12 to both sides and combining like terms.

dividing both sides of the equation by 6 and we get b = 32 degrees.

-----

we have b = 32 degrees.

we have a = 2 * b so a = 64 degrees.

we have c = a + b - 12 which becomes c = 32 + 64 - 12 which becomes c = 96 - 12 which becomes c = 84 degrees.

-----

substituting in the equation a + b + c = 180, we get 32 + 64 + 84 = 180 which becomes 96 + 84 = 180 which becomes 180 = 180.

-----

answer is:

a

4 0
3 years ago
I need to figure this out cause idk.
jeka57 [31]
Since she flipped the coin 20 times and got 4 heads and 6 tails, you put it as a fraction. So, it's 4/16 if you simplify 4 over 16 you get 1/4. You get this by dividing by 4 both numbers.

6 0
3 years ago
A lighthouse sights a boat. The angle of depression from the top of the lighthouse to the boat is 7 degrees. At this time, the h
koban [17]

Answer:

Step-by-step explanation:

tan7=h/820

h=820tan7

h=101m

3 0
3 years ago
Read 2 more answers
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