Step-by-step explanation:
using trig, tangent is equal to opposite over adjacent.
in this case, the angle is 45, opposite is 7, and adjacent is a.
thus tan 45° = 7/a
solve for a to get a = 7/tan 45° = 4.32
Answer: 28-6x
This is the same as -6x+28
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To get that answer, you multiply each term inside the parenthesis by the outer term 2
14 * 2 = 28
-3x * 2 = -6x
So,
(14-3x)*2 = 14*2 - 3x*2 = 28-6x
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The distribution rule says
a(b-c) = ab-ac
which is the same as saying
(b-c)a = ba-ca
We can flip things around because we can multiply in any order.
<span>x+2 = -x+6
</span>2x+2 = 6
2x = 4
x = 2
Adults=11 children=8
55x11=605
53x8=424
605+424=1029
1029 is the answer
Answer:
B
Step-by-step explanation:
The composite figure consists of a triangle and a semicircle.
The area (A) of the triangle is calculated as
A = 0. 5 bh ( b is the base and h the perpendicular height )
here b = 2 × 4 = 8 and h = 3, thus
A = 0.5 × 8 × 3 = 12 in²
The area (A) of the semicircle is calculated as
A = 0.5πr² ← r is the radius = 4, thus
A = 0.5π ×4² = 0.5 = 0.5π × 16 = 8π
Sum the 2 areas together for area of composite shape, that is
area of composite shape = ( 8π + 12 ) in² → B
