(a) 0.6+0.66 +0.666 +.... n terms

Mathematics

1 answer:

Leto [7]3 years ago

3 0

Answer:

0.66(1.1 ^n -1)

Step-by-step explanation:

They are in GP!

S = (6.6)(1.1 ^n -1)÷(0.1)

You might be interested in

Find the area of the surface. The helicoid (or spiral ramp) with vector equation r(u, v) = u cos v i + u sin v j + v k, 0 ? u ?

kifflom [539]

Fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

4 0

3 years ago

Sarah goes for a run around her neighborhood. She runs 2.5 miles in 20 minutes. Sarah’s average speed is ______ miles per minute

MrMuchimi

I think I would first convert it to hours to solve it and then back to minutes at the end. Super strange it’s been asked for in minutes.

So to convert 20 minutes into hours, you need to multiply by 3.

This means you need to do the same to the other side, cause if they’ve travelled 2.5 miles in 20 minutes, they’d travel 3 times that in an hour.

So this is 7.5m/ph

But then they want it in minutes, so I suppose 7.5/60?

So 0.125m/pm?

5 0

3 years ago

Name

kati45 [8]

Answer:

368 1-cup servings.

Step-by-step explanation:

Please see the attached file for explanation.

3 0

3 years ago

Use the figure below to find the exact values of the double angles.

scZoUnD [109]

Right away, we know that

$\cos\beta=\dfrac{16}{20}=\dfrac45$

which means

$\sin\beta=\sqrt{1-\cos^2\beta}=\dfrac35$

Then

$\cos\beta=\cos2\left(\dfrac\beta2\right)=\cos^2\dfrac\beta2-\sin^2\dfrac\beta2$

$\sin\beta=\sin2\left(\dfrac\beta2\right)=2\sin\dfrac\beta2\cos\dfrac\beta2$

Let $x=\cos\dfrac\beta2$ and $y=\sin\dfrac\beta2$ . Then

$\begin{cases}\dfrac45=x^2-y^2\\\\\dfrac35=2xy\end{cases}\implies\begin{cases}\cos\dfrac\beta2=\dfrac3{\sqrt{10}}\\\\\sin\dfrac\beta2=\dfrac1{\sqrt{10}}\end{cases}$

from which we find

$\tan\dfrac\beta2=\dfrac{\sin\frac\beta2}{\cos\frac\beta2}=\dfrac13$

You can use the same ideas above to find the trig ratios for $\dfrac\alpha2$ , starting from the given fact that $\sin\alpha=\dfrac{16}{20}=\dfrac45$ .