Answer:
103.18units³
Step-by-step explanation:
Area of the sector DEF = theta/360 * πr²
r is the radius
theta is the angle subtended at the centre
theta =70 degrees
radius DE = 13units
Substitute
Area of the sector = 70/360 * 3.14(13)²
Area of the sector = 7/36 * 530.66
Area of the sector = 3,714.62/36
Area of the sector = 103.18units³ (to the nearest hundredth)
Answer:
x = 5
Step-by-step explanation:
x + 5 = 10
<u> -5 -5</u>
x = 5
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Only Statement 2 is surely correct.
because there maybe chances that the line L1 and L3 lies above the line L2 and they can also fulfill the condition of perpendicularity so we can't be sure about statement 3 & statement 1 is clearly incorrect
Answer:
1 56/100 or 1 28/50 or 1 13/25 or 14/9.
Step-by-step explanation:
1.5555555556 rounded is 1.56 which is 1 56/100 which can be made in improper form and made in simpler form.
10x = 15.55555555.
x = 1.55555555.
10x - x is 15.55555555 − 1.555555555.
9x is 14.55555555.
Divide both sides by 9/
x is 14/9.
Answer:
Boat traveled 553.24 feet towards the lighthouse.
Step-by-step explanation:
In the figure attached AB is the light house of height 200 feet.
Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'
so 1' = 
degree
so angle of elevation at point C = 14 + 
So angle of elevation from C = (14 + 0.87) = 14.87°
Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 + 
= 45.17°
Now we have to calculate the distance CD, traveled by the boat.
In ΔABC
tan14.87 = 
0.2655 =
BC = 
BC = 753.239 feet
Similarly in ΔABD
tan45.17 = 
1 =
BD = 200 feet
So distance CD = BC - BD
CD = 753.239 - 200
= 553.24 feet
Therefore, Boat traveled 553.24 feet towards the lighthouse.
