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katrin2010 [14]
3 years ago
12

I need help mane :( who got me with this one ?

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

The correct answer would be B, segment ML is congruent to segment OP.

Step-by-step explanation:

I hope this helps you:)

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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.

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I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?
Klio2033 [76]

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

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Circumference of the base of a cylinder

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A 12 foot ladder leans against a wall, making an angle of 40° with the horizon. How far is the base of the ladder from the wall?
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