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Mazyrski [523]
3 years ago
13

Approximate the change in the lateral surface area​ (excluding the area of the​ base) of a right circular cone of fixed height o

f hequals=88 m when its radius decreases from requals=99 m to requals=8.98.9 m ​(upper s equals pi r startroot r squared plus h squared endroots=πrr2+h2​).
Mathematics
1 answer:
Julli [10]3 years ago
5 0
<h3>Given</h3>

S = πr√(r^2+h^2)

h = 8 m (constant)

<h3>Find</h3>

An approximation of S when r changes from 9 to 8.9

<h3>Solution</h3>

Such an approximation is usually made by estimating the change using the first derivative. That derivative with respect to r is

... S' = π√(r^2+h^2) + πr(1/2·r)/√(r^2+h^2)

... S' = π(2r^2 +h^2)/√(r^2 +h^2) . . . . . use a common denominator

For r=9, h=8, this is

... S' = π(2·81 +64)/√(81+64) = 226π/√145 ≈ 58.96

Then the change in lateral surface area will be approximately

... ∆S ≈ (∆r)·S' ≈ (-0.1)·(58.96) ≈ -5.90 . . . m²

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hoa [83]
3/(5x) + x = 3/(5x) + x/1 * (5x)/(5x)
= 3/(5x) + 5x²/5x
= (3+5x²) / 5x
4 0
3 years ago
Read 2 more answers
Would appreciate the help
raketka [301]

Answer:

x° = 37°

Step-by-step explanation:

* Lets revise some facts of a circle

- The secant is a line intersect the circle in two points

- If two secants intersect each other in a point outside the circle,

 then the measure of the angle between them is half the difference

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* Now lets solve the problem

- There is a circle

- Two secants of this circle intersect each other in a point outside

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∴ The measure of the angle between them = 1/2 the difference of the

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∵ The measure of the angle between them is x°

∵ The measures of their intercepted arcs are 26° and 100°

- Use the rule above to find x

∴ x° = 1/2 [ measure of the large arc - measure of small arc]

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∵ The measure of the small arc is 26°

∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°

∴ x° = 37°

4 0
3 years ago
The formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet. If a rock falls fro
raketka [301]

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it would take 14mph

Step-by-step explanation:

8 0
3 years ago
If a quadrilateral has exactly 2 lines of symmetry and both are angle bisectors then which statement would be true
Bumek [7]
If a quadrilateral has exactly 2 lines of symmetry and both are angle bisectors then the figure must be a rhombus because it has exactly 2 pairs of congruent angles.

I hope this helps! :)
3 0
3 years ago
Read 2 more answers
How to solve it and understand it
algol13

Volume of rectangle prism = w l h

Volume of rectangle pyramid = 1/3(w l h)

so Volume of rectangle pyramid = 1/3 (Volume of rectangle prism)

= 1/3 (240)

= 80

Answer:

80 cm^3

8 0
3 years ago
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