Answer:
27
Step-by-step explanation:
15x-31 = 9x+11
6x-31 = 11
6x = 42
x = 7
15x -31 + 9x + 11 + s = 180
15(7) -31 + 9(7) + 11 + s = 180
105 - 31 + 63 + 11 + s = 180
153 + s = 180
s = 27
The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.
<h3>How to find the circumference?</h3>
The circumference of a circle of gotten by the formula:
C = 2πr or πd
where,
r = radius
d = diameter
Since the diameter is given as 3cm, the circumference will be:
= πd
= 3.142 × 3
= 9.426cm
In conclusion, the circumference of the circle is 9.426cm.
Learn more about circle on:
brainly.com/question/25938130
Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
The domain the given graph is :
- -12 <u><</u> x <u><</u> 13
We have to start by creating an equation.
Cost of System = x
Cost of games = 3x
Thus x + 3x = $500
Now we find x.
4x = 500,
x = 500/4 = 125
So the system is 125,
The games, 125*3 = 375
