5. What is the area of the figure to the nearest square centimeter? It is composed of a symmetric hexagonand a semicircle 4 cm6
cm3 cm4 cmc 100 cmA 50 cm2D 129 cmB 86 cm
1 answer:
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Answer:
Step-by-step explanation:
To solve for s, you need to follow these steps.
First multiply by t both sides of the equation.
We get
Now we divide by r, both sides of the equation.
Finallly we obtain:
or
Answer:
4√13
Step-by-step explanation:
1. Calculate the length of SN
Your triangle (below) is a relatively tall isosceles triangle.
∆STN is a right triangle, so we can use Pythagoras theorem to calculate the length of SN.
SN² + NT² = ST²
SN² + 4² =22²
SN² + 16 = 484
SN² = 468
SN = √468 = 6√13
2. Calculate the length of SX
UM and SN are lines from an angle to the centre of the opposite side, so they are medians.
The medians of a triangle meet at a single point, X — the centroid.
Another characteristic is that the centroid divides each median into segments in a 2:1 ratio.
Thus,
SX = ⅔SN = ⅔ × 6√13 = 4√13
Let s be the speed of the ship, and c be the speed of the current.
We know that distance equals speed multiplied by the time.
With the current
or
This is our first equation.
Now, against the current, we have
or
This is our second equation.
We solve the equations simultaneously, by adding them together
Substitute s=87.5 to the first equation to solve for c.
The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.
We know that distance equals speed multiplied by the time.
With the current
or
This is our first equation.
Now, against the current, we have
or
This is our second equation.
We solve the equations simultaneously, by adding them together
Substitute s=87.5 to the first equation to solve for c.
The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.