All categories

3 years ago

The 1st term in a geometric series is 5 and the common ratio is 2. Find the sum of the 1st 10 terms in the series.

Mathematics

1 answer:

lesya [120]3 years ago

3 0

Answer:

5115

Step-by-step explanation:

a1(1-(r)^n)/1-r

5(1-(2.00)^10)/1-2.00

You might be interested in

1. Determine if each of the following triangles is a right-angled triangle. For each right-angled triangle, state the right angl

Westkost [7]

You can use trigonometry specially the cos rule in this case. I can’t send the other pictures. But using the cos rule you can check whether the angle is 90

8 0

3 years ago

What is the distance between M(9, −5) and N(−11, 10)?

lesya692 [45]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}$

Step-by-step explanation:

Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )

Finding the distance between these points

$\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{400 + 225}}}$

$\longrightarrow{ \sf{ \sqrt{625}}}$

$\longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}$

$\longrightarrow{ \sf{25 \: units}}$

Hope I helped!

Best regards! :D

7 0

3 years ago

The second angle of a triangle is double the first angle. The third angle is 40 less than the first angle. Find the three angles

ArbitrLikvidat [17]

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).

6 0

3 years ago

A factory produced 8,500 soccer balls last

Marysya12 [62]

Answer:

Step-by-step explanation:

8500 x .09 = 765

8500 + 765 = 9265

6 0

3 years ago

I need help with this math problem

Bas_tet [7]

There is the answer for it

6 0

3 years ago