Answer:
2k - 6
Step-by-step explanation:
Distribute:
2k - 18 + 12
Add:
2k - 6
Answer:
2inch^2 is our area overlap
Step-by-step explanation:
2 inch base 2 inch width when crossed shows us symmetrical line on the parallel, which gives us our height of 1 inch as one inch equilateral triangle is formed each side of the symmetrical line.
Formula for Area is bh
Area = 1 x 2 = 2inch^2
<span>150% to decimal = 1.50 since 100% = 1
</span><span>1.50 x 20 = 30
</span><span>30 + 20 = 50</span>
Answer:
The approximated length of EF is 2.2 units ⇒ A
Step-by-step explanation:
<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>
In the given figure
∵ The triangle DFE has a right angle F
∵ The opposite side to angle D is EF
∵ The adjacent side to angle D is DF
→ By using the tangent ratio above
∴ tan(∠D) = 
∵ DF = 6 units
∵ m∠D = 20°
→ Substitute then in the ratio above
∴ tan(20°) = 
→ Multiply both sides by 6
∴ 6 tan(20°) = EF
∴ 2.183821406 = EF
→ Approximate it to the nearest tenth
∴ 2.2 = EF
∴ The approximated length of EF is 2.2 units
Sin51=y/12
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)