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andriy [413]
3 years ago
6

Jon and jim are cutting a log jon cut 1/5 of the log on one end while jim cut 2/9 of the log on the other side how much of the l

og is left
Mathematics
2 answers:
zmey [24]3 years ago
8 0
1 - (1/5 + 2/9) = …

1/5 → 9/45
2/9 → 10/45

45/45 - (9/45 + 10/45)
= 45/45 - 19/45
= 26/45


26/45 of the log is left.
madreJ [45]3 years ago
5 0

For this case, the full length of the log is equal to 1.

Therefore, the remaining length, we can obtain it by means of the following expression:

1 - (\frac{1}{5}+\frac{2}{9})

Rewriting we have:

1 - \frac{19}{45}

Then, subtracting both numbers we have:

\frac{26}{45}

Answer:

The remaining amount of log is given by:

\frac{26}{45}

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4 0
3 years ago
The centroid of a triangle is at (8, 7). One vertex of the triangle is at (0, 1). What is the midpoint of the side opposite this
RideAnS [48]

Answer:

(12,10)

Step-by-step explanation:

Let the midpoint of the side opposite this vertex have coordinates B(a,b)

We have the centroid at C(8,7) and the vertex of the triangle at A(0,1).

The centroid divides AB internally in the ratio 2:1

We use the formula:

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

where m:n=2:1 is the ratio of internal division.

We substitute the coordinates of A and B and the ratio to get:

(\frac{2a+1*0}{2+1},\frac{2b+1*1}{2+1})

This should simplify and give us the centroid.

(\frac{2a}{3},\frac{2b+1}{3})=(8,7)

This implies that:

\frac{2a}{3}=8,\frac{2b+1}{3}=7

We solve for a and b

2a=24,2b+1=21

a=12,b=10

Therefore the midpoint of the side opposite this vertex is (12,10)

7 0
4 years ago
A standard number cube is rolled 180 times predict how many times a 3 or a 5 will be the result
bazaltina [42]
A number cube generally has 6 sides. If you wanted a 3 or a 5 out of one roll, the probablitility would be 2/6. Multiply 2/6 times 180. Your answer is 60 times.
6 0
3 years ago
F(x)=5500(1.65) <br> at what percent are the bacteria growing each hour
kodGreya [7K]
So exponenetial growth or decay

it goes like this
f(t)=P(1+r)^t
r=rate of decay or grouth
if r>0 then it is grouth by r
if r<0 then it is decay
i
P=initial amount
so
given
f(x)=5500(1.65)^t
f(x)=5500(1+0.65)^t
0.65>0 so it is growing by 65%
3 0
3 years ago
What is the distance between the points (2, 10) and (-6, 4) on the coordinate plane
yaroslaw [1]

take the √(-1-3)^2+(3-(-4))^2

Which should give you √65 or about 8.062

4 0
3 years ago
Read 2 more answers
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