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a) Three bells ring at the intervals of 10, 15 and 20 minutes respectively. If they all ring at 10:00 a. m. at once, at what time will they ring together again ?

b) Three measuring tapes are of 24 m, 32 m and 48 m long. Find the shortest length that can be measured exactly by any one of these tapes.

c) A book, a pen and an exercise book cost Rs 50, Rs 25 and Rs 20 respectively. Find the smallest sum of money with which exact number of books, pens and exercise books can be purchase.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus