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V125BC [204]
3 years ago
7

What is the greatest number of of acute angles that a triangle can contain?

Mathematics
2 answers:
Nataly_w [17]3 years ago
7 0
Acute usually means below or exactly 90°, so the greatest would be 90
RideAnS [48]3 years ago
7 0

Answer:

3

Step-by-step explanation:

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The correct answer is "The next fraction in the pattern is 342/324" because the denominator and numerator are being multiplied by three everytime. <span />
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What are the factors of the quadratic equation? 6=x2 +5x
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X2 + 5x - 6 =0
(x +6)(x-1)=0

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Michael Phelps consumes 15,000 calories per day, swimming the butterfly stroke burns 1200 calories per hour. Michael can swim an
Evgen [1.6K]

To calculate this we should firstly calculate that how many laps can he do in an hour. So assuming that he does all the laps at the same rate he must do 120 laps in an hour.

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What is the value of y when x = 3?
Rudiy27
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Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Shalnov [3]

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

5 0
3 years ago
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