A sailboat traveled 30 miles in 2.5 hours. At the same speed, how far can the boat sail in another 4.5 hours ?

Mathematics

1 answer:

Ivanshal [37]4 years ago

8 0

54 miles

using the formula

speed = $\frac{distance}{time}$ = $\frac{30}{2.5}$ = 12 mph

continuing at 12 mph then

distance = speed × time = 12 × 4.5 = 54 miles

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n △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP. Find the area of △ABC if the area of △BMP is

monitta

Answer: The area of ABC is 56 m².

Explanation:

It is given that in △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP.

Since point P divides the line AB in 1:3, therefore the area of triangle APC and BPC is also in ratio 1:3. To prove this draw a perpendicular h on AB from C.

$\frac{\text{Area of } \triangle BCP}{\text{Area of } \triangle ABC} =\frac{\frac{1}{2}\times BP\times CH}{\frac{1}{2}\times AB\times CH} =\frac{BP}{AB}= \frac{3}{4}$