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3 years ago

2/35 68 simplified please help

Mathematics

1 answer:

vivado [14]3 years ago

6 0

I am assuming that this is 2/3*5*6*8...

Answer: 160

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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

Three more than eight times a number is equal to 19

djverab [1.8K]

19-3=16
16/8=2
2x8+3=19
The answer is 2.

8 0

3 years ago

Read 2 more answers

_16. Which expression is equivalent to

Phantasy [73]

Answer:

-2x-8

Step-by-step explanation:

1) Distribute:

-6/3x+-15/3-3

2) Simplify:

-2x-5-3

3) combine like terms:

-2x-8

hope this helps

5 0

3 years ago

Write the statement in if-then form.

Vilka [71]

I believe the answer is A because its the only one that makes the most sense.

4 0

2 years ago

Read 2 more answers

Find the area of a kite with diagonals 15 m and 7 m.

lozanna [386]

Answer:

Step-by-step explanation:

The formula of an area of a kite:

$A=\dfrac{e\cdot f}{2}$

<em>e, f</em><em> - diagonals</em>

<em />

We have <em>e = 15m, f = 7m.</em>

Substitute:

$A=\dfraC{(15)(7)}{2}=\dfrac{105}{2}=52.5\ m^2$

3 0

3 years ago

2/3*5 6*8 simplified please help

2/35 68 simplified please help