4/10 = 2/5
When you divide both the numerator and denominator by 2 you will get a new fraction of 2/5. This fraction is in simplest form because you can't reduce it further.
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Answer:
The answer to your question is: x = 22
Step-by-step explanation:
If line a is parallel to line b, 4x + 28 = 116 (corresponding angles)
4x + 28 = 116
4x = 116 - 28
4x = 88
x = 88/4
x = 22
The sum of the first 7 terms of the geometric series is 15.180
<h3>Sum of geometric series</h3>
The formula for calculating the sum of geometric series is expressed according to the formula. below;
GM = a(1-r^n)/1-r
where
r is the common ratio
n is the number of terms
a is the first term
Given the following parameters from the sequence
a = 1/36
r = -3
n = 7
Substitute
S = (1/36)(1-(-3)^7)/1+3
S = 1/36(1-2187)/4
S = 15.180
Hence the sum of the first 7 terms of the geometric series is 15.180
Learn more on sum of geometric series here: brainly.com/question/24221513
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Answer:
Please check the explanation.
Step-by-step explanation:
Given that
|v|=38
Ф = 120°
<u>Finding the horizontal component</u>
The horizontal component can be obtained using the formula
Vx = |v| cos Ф
= 38 cos 120°
= 38 (-0.5)
= -19
Thus, the horizontal component is:
Vx = -19
<u>Finding the vertical component</u>
The vertical component can be obtained using the formula
Vy = |v| sin Ф
= 38 sin 120°
= 38 (0.86)
= 32.68
Thus, the vertical component is:
Vy = -19
- A vector 'v' with magnitude |v| and direction Ф can be written as:
v = |v| cos Ф i + |v| sin Ф j
As
|v|=38
Ф = 120°
Thus, the vector is
v = 38 cos 120° i + 38 sin 120° j
or
v = -19 i + 32.68 j
