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3 years ago

Find the sum of the series if n = 6, r = 1/4, a = 2.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

Given =

n=6,

r=1/4

a=2

Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67

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At the beginning of the week, Stewart's checking account had a balance of $-12.07. On Monday morning he deposited a

MA_775_DIABLO [31]

Answer:

$304.38

Step-by-step explanation:

$-12.07 + $216.45 +$100.00=

216.45+ 100.00= 316.45 - 12.07 = 304.38

4 0

3 years ago

What is the volume of a sphere with a diameter of 5.4 ft, rounded to the nearest tenth of a cubic foot?

Lelechka [254]

Answer:

82.4 ft^3

Step-by-step explanation:

Diameter=5.4ft

Radius=diameter/2

=5.4ft/2

=2.7ft

π=3.14

Volume of a sphere=4/3πr^3

=4/3×3.14×2.7^3

=4/3×3.14×19.683

=4/3×61.80462

=247.21848/3

=82.40616

Approximately

82.4 ft^3

7 0

3 years ago

6.3c-2(1.5c+4.1) simplify

svp [43]

6.3c-2(1.5c+4.1)=6.3c-3c-8.2=3.3c-8.2 :))))

7 0

3 years ago

PLZZZ HELPPPP Assume line q is parallel to line m. Choose from the drop-down menus to solve for m∠6

Vikentia [17]

Answer:

1= 75 2= 60 3=180 4=45 5= vertical angles 6=45

Step-by-step explanation:

All we have to do is use supplimentary angles

For example angle 1

105+angle 1=180

angle one = 75 degrees

120+angle 2=180

angle two= 60 degrees

There 180 degreees in a triagle.

So angle 1 + angle 2+ angle 7= 180

75+60+angle 7=180

angle 7= 45 degrees

And since 6 and 7 are vertical angles, angle 6 is also 45 degrees.

8 0

3 years ago

A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What

ivann1987 [24]

Step-by-step explanation:

We have to find the measures of other two angles of triangle.

$\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}$

We know that,

The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

$\rule{200}{3}$

$\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}$

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

$\rule{200}{3}$

Second AnglE :

3x
3 × 10
30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

$\rule{200}{3}$

Third AnglE :

14x
14 × 10
140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0

2 years ago