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3 years ago

Please help me it’s due tomorrow

Mathematics

1 answer:

Ierofanga [76]3 years ago

5 0

Answer:

8 units

Step-by-step explanation:

so there is something called Pythagorean thereon and it states that a^2+b^2=c^2

and 6 is either a or b

and c is ten so

6^2+b^2=10^2

36+b^2=100

b^2=64

here you need to find the square root in order to delete the power so

$\sqrt{b} =\sqrt{64\\\\$

b=8

x=8

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3 years ago

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:

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

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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:

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

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

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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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3 years ago

A shoe store advertises that all shoes are on sale for 25% off the regular price. find the sale price of a pair of shoes that ha

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percent means parts out of 100
75%=75/100=0.75

'of' means multiply

75% of 85 means
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