Answer:
-8
Step-by-step explanation:
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Answer:
25.35
Step-by-step explanation:
Area of the shaded portion = Area of semicircle - Area of the right triangle
Area of semicircle = πr²/2
Area of semicircle = 3.14(6)²/2
Area of semicircle = 3.14 * 18
Area of semicircle = 56.52
Area of triangle = 1/2 * base * height
Get the height using the SOH CAH TOA identity
sin 60 = H/12
H = 12sin60
H = 12(0.8660)
H = 10.39
Get the base
12² = b²+10.39²
144 = b²+108
b² = 144 - 108
b² = 36
b = 6
Area of triangle = 1/2 * 6 * 10.39
Area of triangle = 3 * 10.39
Area of triangle = 31.17
Area of shaded portion = 56.52 - 31.17
Area of shaded portion = 25.35
Answer:
Both 70 degrees
Step-by-step explanation:
The base angles of an isosceles triangle are congruent.
The other 2 angles are each (180 - 40) / 2
= 70 degrees
Answer:
1.07 (15 + x) = 42.80
Step-by-step explanation:
Given data
CD= $15
Let the cost of the video game be x
The total cost= 15+x
Hence the equivalent expression is
1.07 (15 + x) = 42.80
open bracket
16.05+1.07x= 42.80
42.80-16.05= 1.07x
26.75=1.07x
x= 26.75/1.07
x= 25
Check
7% tax for CD
=0.07*15
=1.05
total =1.05+15
=$16.05
7% tax for Video game
=0.07* 25
=1.75
total =1.75+25
=$26.75
In all
=26.75+16.05
=$42.8