<h3>a)
</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>
<h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2>
<h3>Hence, Quotient =
</h3>
<h3>b)
</h3><h3>■Convert the decimals into a fractions</h3>
<h2>
</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>
<h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2><h3>Hence, Quotient is
</h3>
<h3>c)
</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2><h3>Hence, The Quotient is
</h3>
Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
50% because you first subtract the original price from the new price so 126-84 equals 42 then you divide that by the original price 84 which will give you .5 which turns to 50%
Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.
Let us solve the inequality for x.
We have 17 is being subtracted in the middle.
Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get
175+17 ≤ 3x-17+17 ≤ 187+17
192 ≤ 3x ≤ 204.
Dividing by 3.
192/3 ≤ 3x/3 ≤ 204/3.
64 ≤ x ≤ 68.
Therefore, the height of the driver should be from 64 to 68 inches to fit into the race car.
The answer is 1/(x+4)
Explanation:
You would factor out the denominator
So,
(X-4)(x+4)=x^2-16
So, x-4/(x+4)(x-4)
Then x-4 cancels each other out from the numerator and denominator
Leaving 1/x+4
