Sum of geometric sequence
for the sum where the initial value is a₁ and the common ratio is r and the term is n
common ratio is -3
-5 times -3 is 15, -15 times -3=-45 etc
first term is -5
and we want the 8th term
the sum is 8200
Answer:
Answer: A. x + (4x - 85) = 90
In this case, the two angles are complementary. This means they add up to 90°. Therefore, the equation is x + (4x - 85) = 90.
Step-by-step explanation:
You can either convert -3 into a fraction, or convert -2/5 into a decimal so you can solve this.
If you decide to convert -3, into a fraction, it would be -3/1, and you'd have to multiply that by the reciprocal of -2/5.
So, you'd have -3/1(-5/2)=15/2, which can be simplified to 7 1/2.
If you decide to convert -2/5 into a decimal, you would get -0.4. You would then divide -3 by -0.4, which is equal to 7.5.
Both 7.5 and 7 1/2 are correct answers, and if you were to convert 7.5 into a fraction and 7 1/2 into a decimal, you would notice that they are the same number, but in different forms.
The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5
A linear equation is given by:
y = mx + b;
where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.
Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.
She starts at 182.5 meters above sea level, hence; b = 182.5 meters
She descends 36.5 meters each hour, hence m = -36.5 meter per hour
Therefore the equation becomes:
y = -36.5x + 182.5
Find out more at: brainly.com/question/19586594
Answer:
d = 90°
e = 41°
f = 139°
Step-by-step explanation:
d + 90° = 180° (Angles in linear pair)
-> d = 180° - 90°
-> d = 90°
e = 41° (vertical angles)
f + 41° = 180° (Angles in linear pair)
-> f = 180° - 41°
-> f = 139°
