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Lady bird [3.3K]

3 years ago

10

F(x)=x^3+2x^2-6x+9

1 answer:

coldgirl [10]3 years ago

5 0

Answer:

Step-by-step explanation:

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A volume of a coin is 113.04 mm2 what is the approximate of a sphere that has the same height and a circular base with the same

tia_tia [17]

We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.

We know that volume of cone is $\frac{1}{3}\pi r^2\cdot h$ .

The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:

$h=2r$

Upon substituting $h=2r$ in volume of cone, we will get:

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

$V=\frac{2}{3}\pi r^3$

We know that volume of sphere is $V=\frac{4}{3}\pi r^3$ .

Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

$V=2(\frac{2}{3}\pi r^3)$

Since $\frac{2}{3}\pi r^3=113.04$ , so volume of sphere would be:

$V=2(113.04)$

$V=226.08$

Therefore, volume of sphere would be 226.08 cubic mm.

4 0

4 years ago

WINSTONCH [101]

Clive and Ciara= 2/5(1264)
=$505.60
Max= 1/5(1265)
=$252.80

6 0

3 years ago

$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned

Anettt [7]

<u>Answer-</u>

<em>$2000</em><em> were invested at 5%</em>

<u>Solution-</u>

Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%

We know that,

$i=\dfrac{P\cdot r\cdot t}{100}$

Putting the values,

$i_1=\dfrac{P_1\cdot r_1\cdot t}{100}$

$i_1=\dfrac{x\cdot 5\cdot 1}{100}=\dfrac{5x}{100}$

And

$i_2=\dfrac{P_2\cdot r_2\cdot t}{100}$

$i_2=\dfrac{(6000-x)\cdot 3\cdot 1}{100}=\dfrac{3(6000-x)}{100}$

According to the question,

$\Rightarrow \dfrac{5x}{100}+\dfrac{3(6000-x)}{100}=220$

$\Rightarrow \dfrac{5x+3(6000-x)}{100}=220$

$\Rightarrow 5x+3(6000-x)=22000$

$\Rightarrow 5x+18000-3x=22000$

$\Rightarrow 5x-3x=22000-18000$

$\Rightarrow 2x=4000$

$\Rightarrow x=2000$

Therefore, $2000 were invested at 5%

8 0

4 years ago

Read 2 more answers

Which number is composite 2, 5, 11, 9,

kykrilka [37]

Answer:

9

Step-by-step explanation:

3*3 =9

4 0

3 years ago

How do I solve 5(11x - 5) = 85

Gala2k [10]

5(11x-5)=85
55x-25=85
+25 +25
55x=110
---- -----
55 55
x = 2

6 0

3 years ago

Read 2 more answers