3 years ago

What is the ratio 17/51 in simplest form?

Mathematics

1 answer:

n200080 [17]3 years ago

7 0

Since 51 is equal to 3 multiplied by 17, the smallest ratio is 1/3

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A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depressio

Natali [406]

Given :

A sailor is 30 m above the water in the crow's nest on a sailboat.

The sailor encounters an orca surface at an angle of depression of 15 degrees.

The crows nest is 20 m horizontally from the bow (front) of the boat.

To Find :

How far in front of the boat is the orca.

Solution :

Let, distance of boat front from the crow's nest is x.

So,

$\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m$

Hence, this is the required solution.

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3 years ago

Rewrite the expressions in each pair so that they have the same base. c) (1 /2)^2x and (1/ 4)^x - 1

just olya [345]

I'm not completely sure but this is what I would do.
evaluate (1/ 4)^x - 1 as is. But change the (1 /2)^2x to (2/4)^2x. This way both fractions have the same denominator and in this sense, the same base. The 2/4 base still evaluates into 1/2 so nothing, mathematically, is being broken here.

7 0

4 years ago

Factorize ху + 3x +3y + 18

noname [10]

Answer:

(x+6)(y+3)

Step-by-step explanation: