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3 years ago

13

The formula for the volume of a cone is . find the radius, to the nearest hundredth, of a cone with a height of 3 in. and a volu

me of 12 in.3.

1 answer:

QveST [7]3 years ago

8 0

Andjdmsbshskdndkdmdnxkdmebdosndn

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A rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48 and each cubic foot hose 7.5 gallons

zmey [24]

Answer: it will take 576000 gallons to fill the lap pool.

Step-by-step explanation:

The formula for determining the volume of water in the rectangular pool is expressed as

Volume = length × width × height

The rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48. It means that the volume of water that would be pumped inside the pool is

Volume = 80 × 20 × 48 = 76800 cubic feet

1 cubic foot = 7.5 gallons

76800 cubic feet = 76800 × 7.5 = 576000 gallons

5 0

3 years ago

Which expression is equivalent to (4^-3)^-6<br><br> a.) 4^3<br> b.) 4^-9<br> c.) 4^-18<br> d.) 4^18

mario62 [17]

Answer:

Answer:

The answer is d.) 4^18

3 0

3 years ago

Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

8 0

3 years ago

Maths easy class 8 whoever gets it I will give u brainlist

asambeis [7]

Answer:

424 cm²

Step-by-step explanation:

The figure is composed of a square and a trapezium on top

A of square = 18² = 324 cm²

A of trapezium = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 8, b₁ = 18 and b₂ = 7 , then

A = 0.5 × 8 × (18 + 7) = 4 × 25 = 100 cm²

Area of hexagonal park = 324 + 100 = 424 cm²

8 0

3 years ago

According to the empirical rule, if the data form a bell-shaped normal distribution, __________ of the observations will fall wi

Kaylis [27]

Answer:

95%

Step-by-step explanation:

The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are

i) 68% falls within one standard deviation

ii) 95% falls within two standard deviation

iii) 99.7% falls within three standard deviation.

Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.

5 0

3 years ago