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olganol [36]
3 years ago
11

Parellelograms have opposite sides that are

Mathematics
1 answer:
ratelena [41]3 years ago
3 0

Answer:

parallel

Step-by-step explanation:

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Find the interval of convergence for the series. (Enter your answer using interval notation.)
Neporo4naja [7]

By the ratio test, the series diverges since the limit

\displaystyle \lim_{n\to\infty} \left| \frac{(n+1)! (4x-1)^{n+1}}{n! (4x-1)^n} \right| = \lim_{n\to\infty} |n+1| |4x-1|

is not finite.

The series only converges for x = 1/4.

3 0
3 years ago
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
djyliett [7]

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

<em>Additional comment</em>

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

6 0
3 years ago
for his phone service, Chua pays a monthly fee of 25, and he pays an additional $0.05 per minute of use. the least he has been c
postnew [5]

Inequalities

Chua pays a monthly fee of $25 for his phone service, plus $0.05 per minute of use.

Let M = number of minutes Chua uses the phone service.

His monthly cost for the phone service is:

C = 25 + 0.05M

The least he has been charged in a month is $89.40. If we want to know the number of minutes he used the service in that month, then we must solve the inequality:

25 + 0.05M ≥ 89.40

Subtracting 25:

0.05M ≥ 89.40 - 25

Operating:

0.05M ≥ 64.40

Dividing by 0.05:

M ≥ 64.40 / 0.05

M ≥ 1288

He has used his phone service at least for 1288 minutes in a month

8 0
1 year ago
X-15≤-6 solve for x and simplify
gtnhenbr [62]

Answer:

x≤9

Step-by-step explanation:

because im cool

3 0
4 years ago
Read 2 more answers
2x - y = 10
marshall27 [118]
B:(3,-4)
2x-(-x-1)=10
X=3

Y=-3-1
Y=-4
8 0
4 years ago
Read 2 more answers
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