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2 years ago

Help me please!!!!!!!!

Mathematics

2 answers:

OLga [1]2 years ago

6 0

Answer:

A ≈ 75 in²

Step-by-step explanation:

the area (A) of the circle is calculated as

A = πr² ( r is the radius )

here r = 5 and using 3 for π , then

A = 3 × 5² = 3 × 25 = 75 in²

Anna71 [15]2 years ago

5 0

Answer:

75 in^2

Step-by-step explanation:

Since the formula to find the area of a circle is already up, we can use that to solve the question.

The image gave us the value of the radius right away, so the question will be a lot easier to solve.

--> The reason why the radius is needed is that the 'r' in the formula means radius. We need the value of the radius to find the area of the circle.

Now, we can just replace r with 5.

--> A = 25 $\pi$

Since the question told us to replace $\pi$ with 3, we can do that.

--> A = 25 x 3

--> A = 75

We can conclude that the area of the circle is 75 in^2.

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F(x) = 3x + 5<br> Work out a if f(a)= -13

vekshin1

Answer:

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Step-by-step explanation:

Given

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

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3 years ago

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Answer:

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1 year ago

What is 45,231 written in expanded form? 2 x 10,000 + 1 x 1,000 + 3 x 100 + 5 x 10 + 4 2 x 10,000 + 3 x 1,000 + 1 x 100 + 4 x 10

adoni [48]

Answer:

45231 = $4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1$

Step-by-step explanation:

Given the number:

45,231

We have To write the given number in the expanded form.

Solution:

First of all, let us write the different digits of the number:

Unit's digit = 1

Ten's digit = 3

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Unit's digit has to be multiplied with 1.

Ten's digit has to be multiplied with 10.

Hundred's digit has to be multiplied with 100.

Thousand's digit has to be multiplied with 1000.

Ten Thousand's digit has to be multiplied with 10000.

And then they have to be added so that the number gets formed.

45231 = $4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1$

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3 years ago