When the sun’s angle of elevation is 56°, a tree casts a shadow that is 60 feet long. What is the height of the tree to the near
1 answer:
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We have that The height changing rate when the length of the base is 2 cm
From the question we are told
The diagonal of a rectangle, with base x, remains at a fixed value of 3cm. If the base is increasing at a rate of 8 cm/s. at what rate is the height changing when the length of the base is 2 cm?
Generally the Pythagoras equation for the triangle is mathematically given
as
With r=3
Therefore
dx/dt=8cm/s
Hence
We have
Therefore
The height changing rate when the length of the base is 2 cm
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1) Division Property Equality
first pass: Simplify by 8
second pass: <span>Now divide the equals
</span>
2) Addition Property of Equality
first pass: <span>Incognito on the left and numbers without incognito on the right, changing signs if they change sides.
</span>
second pass: Do the addition
<span>
3) Subtraction </span>Property of Equality
first pass: Incognito on the left and numbers without incognito on the right, changing signs if they change sides.
second pass: Do the subtraction
<span>
4) Multiplication Property of Equality
</span>
first pass: <span>Multiply the equalities by the inverse of the incognito, without the incognito
</span>
second pass: <span>Cancel the same terms and divide the ratio.
</span>
5) Distributive Property
<span>first pass: We only evaluate what is in the parentheses first and then we solve it.
</span>
second pass: we just evaluate what’s in the parentheses first, then solve it. We have a distributive property, with the distributive property, we multiply the '7' first.
Obs: <span>This question is not to find the value, only to show the distributive property.
</span>
<span>For better understanding and solve your question with equation with incognito, after the distributive property, equalize the terms to zero, then isolate the terms, putting numbers with incognito on the left and numbers without incognito on the right, changing the signal as they change sides. And then solve by finding the value of the incognito dividing the terms.
</span>
<span>
</span>
first pass: Simplify by 8
second pass: <span>Now divide the equals
</span>
2) Addition Property of Equality
first pass: <span>Incognito on the left and numbers without incognito on the right, changing signs if they change sides.
</span>
second pass: Do the addition
<span>
3) Subtraction </span>Property of Equality
first pass: Incognito on the left and numbers without incognito on the right, changing signs if they change sides.
second pass: Do the subtraction
<span>
4) Multiplication Property of Equality
</span>
first pass: <span>Multiply the equalities by the inverse of the incognito, without the incognito
</span>
second pass: <span>Cancel the same terms and divide the ratio.
</span>
5) Distributive Property
<span>first pass: We only evaluate what is in the parentheses first and then we solve it.
</span>
second pass: we just evaluate what’s in the parentheses first, then solve it. We have a distributive property, with the distributive property, we multiply the '7' first.
Obs: <span>This question is not to find the value, only to show the distributive property.
</span>
<span>For better understanding and solve your question with equation with incognito, after the distributive property, equalize the terms to zero, then isolate the terms, putting numbers with incognito on the left and numbers without incognito on the right, changing the signal as they change sides. And then solve by finding the value of the incognito dividing the terms.
</span>
<span>
</span>