Paul is 20 years old. He is four times older than his sister.

Mathematics

2 answers:

attashe74 [19]2 years ago

3 0

Answer: Paul will be 30 years old

Step-by-step explanation:Let the age of her sister be x, then from the given data

=> 4x = 20

=> x = 5 years

The age of her sister is 5 years

In the second case, paul is twice as old as his sister

=> Age of paul = 2(x)

=> Age of paul = 10 years

Paul will be 10 years old when he is twice as old as his sister

slamgirl [31]2 years ago

3 0

Answer:

Paul will be 30 years old.

Step-by-step explanation:

Paul's sister's age is 1/4 of 20. 20 * 1/4 = 5 years.

Age difference between the siblings : 20 - 5 = 15 years.

That means that Paul will still be 15 years older when he'll be twice the age of his sister.

15 * 2 = 30 years.

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if a 20 foot ladder makes a 50 degree angle with the ground, how many feet up a wall will it reach. Round to the nearest tenth.

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Answer: The ladder would reach 15.3 ft up the wall

Step-by-step explanation: Please refer to the attached diagram.

If the ladder (represented by line AC) rests on the wall (represented by line AB), it forms an angle of 50 with the ground (at point C). The ground is represented by line BC.

We need to remember that we have one side and one angle given in this question. The given side is the hypotenuse (the side facing the right angle, B in this case) and the given angle is the reference angle. The unknown side which is x, is the opposite as it is facing the reference angle.

Having the opposite and the hypotenuse, we can use the Sine ratio which is,

Sine C = opposite/hypotenuse

Sine 50 = x/20

Checking our table of values or by use of our calculator, sin 50 is 0.766

Sin 50 = x/20

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By cross multiplication, we now have our equation rewritten as;

0.766 (20) = x

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Rounded to the nearest tenth,

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