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topjm [15]
3 years ago
6

I think it’s pretty annoying that I need help on this...[I should know this but I don’t :( ] Can anyone help me on this I would

really appreciate it. Thanks

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

The first one would be 1 since you're dividing and whenever you divide exponents you're supposed to subtract them. And the second one is also the first one since it's basically the work shown for how you got your first answer.


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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
How much money is needed to buy 1/4 pound of butter at $.92 a pound, 4 pounds of sugar at $.24 a pound, and 6 eggs at $.72 a doz
gayaneshka [121]

Answer:

E. None of these

Step-by-step explanation:

1/4 of a pound of butter costs $0.23

4 pound of sugar costs $0.96

6 eggs costs $0.36

Add those together, and you get $1.55

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3 years ago
3(x^2+4x)+4(y^2-2y)=32
nekit [7.7K]

Answer:

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3(x^2+4x)+4(y^2-2y)=32

At first we have to break the parenthesis to get the variables in normal position. To break those, we have to multiply each with the help of algebraic expression:

or, (3*x^2) + (3 × 4x) + (4 × y^2) - (4 × 2y) = 32

or, 3x^2 + 12x + 4y^2 - 8y = 32

Since the equation does not have anything to add or deduct, therefore, it is the answer.

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3 years ago
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Answer:

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Step-by-step explanation:

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