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8_murik_8 [283]

3 years ago

9

What expression defines Sn?

1 answer:

frutty [35]3 years ago

3 0

Answer:

Sₙ=3(1/2^n)

Step-by-step explanation:

Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)

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I need help with number on math can you help me

neonofarm [45]

What is the qestion then i can help

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4 years ago

SOCCER PRACTICE BEGAN AT 2:30 P.M 3:30 P.M THROUGH WHAT FRACTION OF A CIRCLE DID THE MINUTE HAND TURN HOW MANY DEGREES DID THE M

MrMuchimi

Answer:

1 /1 ; 360°

Step-by-step explanation:

Start time = 2:30 pm

Stop time = 3:30 pm

Minute hand makes a complete revolution per hour ;

This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1

The angle turned by the minutes hand :

1 complete revolution = 360°

A circle covers 360°

1 /1 fraction of a circle = 1/1 * 360° = 360°

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5 0

3 years ago

A fish market bought two swordfish at a rate of $12 per pound. The cost of the larger fish was 3 times as great as the cost of t

m_a_m_a [10]

Larger Fish: 25.65lbs

Smaller Fish: 8.55lbs

Reason: $3693/3=307.75 $307.75/$12=25.65

$102.58/F$12=8.55

7 0

3 years ago

The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig

patriot [66]

Answer:

sin α = $\frac{y}{r}$ = $\frac{1}{\sqrt{10} }$

cos α = $\frac{x}{r}$ = $\frac{3}{\sqrt{10} }$

tan α = $\frac{y}{x}$ = $\frac{1}{3}$

cot α = $\frac{x}{y}$ = $\frac{3}{1}$

sec α = $\frac{r}{x}$ = $\frac{\sqrt{10} }{3}$

csc α = $\frac{r}{y}$ = $\frac{\sqrt{10} }{1}$

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = $\sqrt{x^2+y^2}$

Here it is: $\sqrt{3^2+1^2}$ = $\sqrt{9+1}$ = $\sqrt{10}$

So we have:

x = 3

y = 1

r = $\sqrt{10}$

Now we can calculate all 6 trig, functions:

sin α = $\frac{y}{r}$ = $\frac{1}{\sqrt{10} }$

cos α = $\frac{x}{r}$ = $\frac{3}{\sqrt{10} }$

tan α = $\frac{y}{x}$ = $\frac{1}{3}$

cot α = $\frac{x}{y}$ = $\frac{3}{1}$

sec α = $\frac{r}{x}$ = $\frac{\sqrt{10} }{3}$

csc α = $\frac{r}{y}$ = $\frac{\sqrt{10} }{1}$

6 0

3 years ago

A right triangle in which one acute angle is a reference angle for a 115 degree angle in standard position intersects the unit c

Ratling [72]

Answer:

$\cos (115\degree)=-0.423$

Step-by-step explanation:

The parametric equations of a circle is

$x=r\cos \theta$ and $y=r\sin \theta$

The radius of the unit circle is 1 unit.

This implies that any point on the unit circle is represented by:

$x=\cos \theta$ and $y=\sin \theta$

where $\theta$ is the angle in standard position,

From the question, the given angle in standard position is $115\degree$ .

This angle intersects the unit circle at $x=-0.423$

But $x=\cos \theta$

We substitute $\theta=115\degree$ and $x=-0.423$

This implies that: $\cos (115\degree)=-0.423$

6 0

3 years ago