Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.
Answer:
the measure of AB =29 meters
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<em><u>Question:</u></em>
Is square root of 1.6875 a rational number ?
<em><u>Answer:</u></em>
Square root of 1.6875 a rational number is not a rational number
<em><u>Solution:</u></em>
Given that we have to find square root of 1.6875 and determine if it is rational number or not
Let us first find square root of 1.6875

Let us understand about rational number
A rational number is a number that can be expressed as a fraction (ratio) in the form
where p and q are integers and q is not zero.
When a rational number fraction is divided to form a decimal value, it becomes a terminating or repeating decimal.
So the number 1.29903810568 is not a rational number
<em><u>In other words we can say,</u></em>
Only the square roots of square numbers are rational. Here 1.6875 is not a perfect square. So it is not rational number
Answer:
y = (2/7)x -12
Step-by-step explanation:
y = mx + b is the standard form of an equation of a straight line in which m is the slope and b is the y-intercept (the value of y when x is zero)..
<u>m</u>=(2/7) and <u>b</u> = -12
y = <u>m</u>x + <u>b</u>
y = (<u>2/7</u>)x <u>-12</u>