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2 years ago

Pythagorean theorem:

Mathematics

2 answers:

djverab [1.8K]2 years ago

8 0

Answer:

This does not make a right triangle because according to the pythagorean theorem, a^2+b^2=c^2. 16+36 does not equal 64, thefore, the triangle with the following sides is not a right triangle.

Tanya [424]2 years ago

6 0

Answer/Step-by-step explanation:

This does not make a right triangle because the Pythagorean Theorem shows that 4^2 + 6^2 does not equal 8^2.

16 + 36 = 64

52 doesn't equal 64.

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Step-by-step explanation:

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2 years ago

Finding out how many events can someone attend with the cost of $36

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2 years ago

When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted

neonofarm [45]

The percentage of students voted for colour crimson
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2 years ago

Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.

KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

$\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}$

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

$\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}$

Solving it:

The sum is 493.4

4 0

2 years ago