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1 year ago

What is the area of the circle below, in terms of ?90 metersO 457O 907O 1807O 81007134

Mathematics

1 answer:

defon1 year ago

3 0

Step 1: Write out the formula

$\begin{gathered} \text{Area of a circle = }\pi r^2 \\ \text{where } \\ r=\text{ the radius of the circle} \end{gathered}$

Step 2: Write out the given values and substitute them into the formula

$r=90m$

Therefore,

$\text{ the area of the circle = }\pi(90)^2=\pi\times8100=8100\pi m^2$

Hence, the area in terms of pi is

$8100\pi$

The last choice is the correct answer

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In a recent survey 55% of pet owners have more than one pet if there was 620 pet owners survey which proportion could be used to

Alika [10]

Answer:

341..

Step-by-step explanation:

i would personally say 341 because 620 multiplied by 55% or .55, as written on a calculator, would be 341.

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2 years ago

Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

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3 years ago

John has a job selling souvenirs on a football stadium. He earns $10 per game plus $0.25 dollars for each souvenir he sells. How

Ahat [919]

Answer:

He needs to sell 100 souvenirs

Step-by-step explanation:

We want to know the number of souveniers John has to sell

Let the number of souveniers he sold at the game be s

At a rate of $0.25 per souvenier, the amount earned on souveniers for s souveniers will be:

$0.25 \times s =0.25s$

Now, if we added this to the amount he earns per game, we will have the total $35 earned for working at one game.

Thus, mathematically:

$0.25s + 10 = 35 \\ 0.25s = 35 - 10 \\ 0.25s = 25 \\ s = \frac{25}{0.25} \\ s = 100$

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2 years ago

PLS ANSWER: What is the monomial if a cube of a monomial is: 1/8 a^27

Katarina [22]

Answer:

$\frac{a^{9} }{2}$

Step-by-step explanation:

A monomial is a type of polynomial that has only one term and when there are two terms in the polynomial then it is called binomial.

Say for example (ax) is a monomial and (ax + b) is a binomial.

In our case the cube of a monomial is $\frac{a^{27} }{8}$

Therefore, the monomial will be $\sqrt[3]{\frac{a^{27} }{8}} =\frac{a^{9} }{2}$ (Answer)

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3 years ago

About 4/10 of the population has blood type O+. What percent of the population has blood type O+?

fenix001 [56]

If 4/10 of the population have blood type O+, that means 40% of the population have that blood type. To change a fraction to percent, the easiest way is to make the denominator 100. To do this, multiply the whole fraction by 1 (1/1, 2/2, etc). In this case, multiply by 10/10. 4/10 * 10/10 is equal to 40/100. Then, if you have a denominator of 100, the numerator is the percent. Therefore, 40/100 is 40%.

4 0

3 years ago

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