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3 years ago

Find the radius and the circumference to the nearest hundredth when d ≈ 3.4 in. Use 3.14 for π.

Mathematics

1 answer:

valentina_108 [34]3 years ago

4 0

Radius = d/2 = 1.7 in

circumference = πd ≈ 3.14*3.4 in = 10.68 in

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3 years ago

Find the sum of the geometric series. a b c d

Musya8 [376]

Answer:

B. $4\sqrt{3}-6$

Step-by-step explanation:

We have,

The first term of the series, $a=\sqrt{3}$ .

The common difference is given by, $r=\frac{\frac{-3}{2}}{\sqrt{3}}$ i.e. $r=\frac{-\sqrt{3}}{2}$ .

Since, the given series is an infinite series, then,

Sum of an infinite series = $\frac{a}{1-r}$

i.e. Sum the series = $\frac{\sqrt{3}}{1+\frac{\sqrt{3}}{2}}$

i.e. Sum the series = $\frac{2\sqrt{3}}{2+\sqrt{3}}$

i.e. Sum the series = $\frac{2\sqrt{3}}{2+\sqrt{3}}\times \frac{2-\sqrt{3}}{2-\sqrt{3}}$

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8 0

3 years ago

3x + 2y = 14. X + y = 5. Work put the values of x and y

andrey2020 [161]

Answer:

x = 4 , y = 1

Step-by-step explanation:

3x + 2y = 14 → (1)

x + y = 5 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 2x - 2y = - 10 → (3)

Add (1) and (3) term by term to eliminate y

x = 4

Substitute x = 4 into (2) and evaluate for y

4 + y = 5 ( subtract 4 from both sides )

y = 1

7 0

3 years ago