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Jet001 [13]
2 years ago
10

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
liubo4ka [24]2 years ago
3 0

Answer:

that looks correct but if not it would be B

Step-by-step explanation:

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The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
kap26 [50]

Answer:

If r >> h, the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

A = \pi \cdot r^{2} + 2\pi\cdot s

Where:

r - Base radius of the cone, measured in inches.

s - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

s = \sqrt{r^{2}+h^{2}}

Where h is the altitude of the cone, measured in inches. If r >> h, then:

s \approx r

And:

A = \pi\cdot r^{2} +2\pi\cdot r

Given that A = 1885.7143\,in^{2}, the following second-order polynomial is obtained:

\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2}  = 0

Roots can be found by the Quadratic Formula:

r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}

r_{1,2} \approx -1\,in \pm 24.521\,in

r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0
2 years ago
Can someone please help me on this?
Dmitry_Shevchenko [17]

Answer:

In the Pythagorean theorem the two shortest sides must always be substituted for the side legs, not the hypotenuse

Step-by-step explanation:

Have a blessed day

God loves you

6 0
3 years ago
11. (RP. 3) A $90 pair of boots is on sale 25% off. How much do they cost now?
True [87]
B:65 dollars
Trustttt
5 0
2 years ago
Read 2 more answers
What is the answer plz​
Gnesinka [82]
Answer: area of the shape is 180m2 (2 means squared)
6 0
3 years ago
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Given the functions f(x) = 6x + 11 and g(x) = x + 6, which of the following functions represents f[g(x)] correctly?
dexar [7]
F(x) = 6x + 11
g(x) = x + 6
f[g(x)] = f(x + 6) = 6(x + 6) + 11 = 6x + 36 + 11 = 6x + 47
f[g(x)] = 6x + 47
4 0
3 years ago
Read 2 more answers
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