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3 years ago

A welder is making a metal sphere the radius will be 115 cm what is the surface area of the metal sphere use 3.14 for

Mathematics

1 answer:

Maslowich3 years ago

5 0

Answer:

166,106

Step-by-step explanation:

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Triple a number decreased by 14

Ira Lisetskai [31]

Since we know 14, but we don't know the other number, we use a variable. To do that, we look at the problem, then we figure out the unknown. The unknown is: A number. We know 14. Since "Triple" means 3, we can put the exponent 3 by X.

Therefore, the answer is $X^3-14$ .

3 0

3 years ago

Find the simple interest you are investing $200 with a 5.2% interest rate of 3 years

kipiarov [429]

Answer:

Step-by-step explanation:

Simple interest is

I=Prt, where I= interest, P=principle (initial value), r=interest rate, t=time

I=200(0.052)3

I=$31.20

5 0

3 years ago

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A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

ladessa [460]

Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is $\frac{r(1-\sqrt{2})}{-3}$

8 0

3 years ago

Read 2 more answers

Determine the total number of roots of each polynomial function f(x)=3x^6+2x^5+x4-2x^3

Alisiya [41]

Answer:

6 roots

Step-by-step explanation:

f(x)=3x^6+2x^5+x4-2x^3

The number of roots is determined by the degree of the polynomial. They may be real or complex.

Since this is a 6th degree polynomial, it will have 6 roots

f(x)=3x^6+2x^5+x4-2x^3

3 0

3 years ago

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X + 4 is prime x2 – 9 can be factored using the formula.

Anna71 [15]

We are given two binomials: x+4 , x^2-9.

x+4 can't be factored. Therefore, it is a prime.

Let us work on x^2-9.

9 could be written as 3^2.

Therefore, x^2-9 = x^2 - 3^2.

Now, we can apply difference of the squares formula to factor it.

We know a^2 -b^2 = (a-b) (a+b).

Therefore, x^2 - 3^2 can be factored as (x-3) (x+3).

So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).

3 0

3 years ago

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A welder is making a metal sphere the radius will be 115 cm what is the surface area of the metal sphere use 3.14 for￼

A welder is making a metal sphere the radius will be 115 cm what is the surface area of the metal sphere use 3.14 for