Answer:
c= 18.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = a/c
cos 57 = 10/c
Multiply each side by c
c cos 57 =10
Divide each side by cos 57
c = 10/cos 57
c=18.36078459
Rounding to the nearest tenth
c= 18.4
Answer:
34
Step-by-step explanation:
Angles 3 and 7 are corresponding angles. When the lines defining the base of the corresponding angles are parallel (as in this case where a is parallel to b), then the angles are equal.
That's the heavy duty definition. It just means that corresponding angles in parallel lines are equal.
So if <3 = 34 degrees, then <7 = 34 degrees.
Answer:
Step-by-step explanation:
To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.
1) Multiply both sides by 9 to get rid of the fractions.
2) Distribute the 3 to 8x and 15. Then, combine like terms.
3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.
Thus, .
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is an geometric series, the details of the series are:
a₁ = 150
r = 60/150 = 0.4
n = 7
The sum of the geometric series is,
S = 150(1-0.4⁶)/(1-0.4)
S = 248.976 ≈ 249
Hence, the sum of the first seven terms of the series is 249.
Learn more about Geometrical Series:
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60.
let x be the number you're trying to solve.
(x/100)25 = 15
x/4 = 15
x = 15(4)
x = 60
