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Valentin [98]
3 years ago
12

What did Archimedes discover about the centroid of a triangle? (Site 1)

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

Archimedes showed that the point where the medians are concurrent (the centroid) is the center of gravity of a triangular shape of uniform thickness and density

Step-by-step explanation:

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Explain how to use a coordinate plane to find the area of a rectangle with vertices (–4, 9), (–4, –3), (–1, –3), and (–1, 9). wh
liberstina [14]

the formula for area of a rectangle is

Area = length x width

since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting

(-4,9) (-4,-3)

these points lie on the same x axis, so they create a vertical line

9-(-3) = 12

12 units is the distance between them

(-4,-3) (-1,-3)

these points lie on the same y axis, so they create a horizontal line

-1-(-4) = 3

3 units is the distance between them

now that we have the length and the width, we can find the area

A = 12 x 3

A = 36 units²

4 0
3 years ago
Read 2 more answers
Tell whether the number 68 is a prime or composite number
stich3 [128]
68 is composite it has more factors than 1 and itself
8 0
3 years ago
Read 2 more answers
Sue has $2.80 in dimes and nickels. If she has 13 more dimes than nickels, how many of each coins does she have?
olga55 [171]
I have seen this question before and I think you meant 10 more dimes than nickels.

We can use substitution to answer this question. The value of a nickel is 5 cents, and we can use the variable n to represent the number of nickels. The value of a dime is 10 cents, and we can use the variable d to represent the number of dimes.

First lets figure out the equations.
.10d+.5n=2.80 (the number of nickels (n) multiplied by .5 will tell us their money value. Same thing for the dimes)
d-n=10 (since there are 13 more dimes than nickels, the number of dimes value (d) minus the number of nickels value (n) will give us 10)

Now lets isolate a variable in one of the equations, preferably the second one because it doesn't have any visible coefficients,

d-n=10
-n=10-d (subtracted the d from both sides)
n=-10+d (made the n positive)

Now that we have the value of n, we can plug it into the other equation.

.10d+.05n=2.80
.10d+.05(-10+d)=2.80 (we replaced the n with the value that we previously got)
.10d-.5+.05d=2.80 (did the multiplication)
.15d-.5=2.80 (combined like terms)
.15d=3.30 (added the .5 to both sides)
d=22 (divided both sides by the .15)

Now that we know that there are 22 dimes and we also know that there are 10 less nickels than dimes, so we can subtract 10 from 22 to get the number of nickels. 22-10=12

d=22
n=12


5 0
3 years ago
A carpenter uses 10 1/2 ft of cedar for every 12 1/3 ft of redwood for a construction project. If the carpenter uses 5 1/4 ft of
motikmotik

Answer: 6 1/6

Step-by-step explanation:

1) First divide 10 1/2 = 5 1/4.

2) Then, since we divide 10 1/2 then we need to divide 12 1/3.

3) 12 1/3 divided by 2 = 6 1/6.

And there is your answer; 6 1/6

8 0
3 years ago
Help plz!!!!!?!!!?!??!????
aleksandrvk [35]
700ml=23.6698fl
64-23.6698=40.3302
40.3302fl
5 0
3 years ago
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