Answer:

Step-by-step explanation:
The sum of an infinite geometric series is expressed according to the formula;
where;
a is the first term of the series
r is the common ratio
If the sum of an infinite geometric series is three times the first term, this is expressed as 
Substitute
into the formula above to get the common ratio r;


open the parenthesis

subtract 3 from both sides

<em>Hence the common ratio of this series is </em>
<em></em>
Answer:
-195 degrees
Step-by-step explanation:
we can subtract 360 from 165 to find the negative coterminal angle.
165-360=-195
The circumference of the circle that has a radius of 28 cm is: 175.9 cm..
<h3>What is the
Circumference of a Circle?</h3>
Circumference of a circle = 2 × π × r, where r = radius of the circle.
Given that a circle has:
radius (r) = 28 cm
Therefore:
Circumference of the circle = 2 × π × r
Plug in the value of r
Circumference = 2 × π × 28
= 175.9 cm.
Learn more about circumference of circle on:
brainly.com/question/20489969
Answer:
t/8 + t/7 = 1
Step-by-step explanation:
Given in the question that,
time require for Jose to paint the house = 7 hours
time require for Brandon to paint the house = 8 hours
Suppose t means Full house painted.
<h3>
To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>
7 hours----t
1 hour ---- t/7
8 hours----t
1 hour ---- t/8
<h3>
Equation</h3>
t/8 + t/7 = 1 (in one hour)
(7t + 8t)/8(7) = 1
15t/56 = 1
15t = 56
t = 56/15
t = 3.73 hours