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3 years ago

Solve for height

1 answer:

8 0

Volume of a cylinder = pi r^2 h where r = radius of the base and h = the height.

so if we are given a radius of 2 cm and a volume of 180 cm^3 we work out the height as follows:-

180 = pi * 2^2 * h

h = 180 / (pi*2^2)

height h = 180 / 4pi = 14.32 cm to nearest hundredth

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1 is the first odd number. It is also the first square number and the first cube number.

Vlad [161]

Answer:

a. third odd number = 5

third square number = 9

third cube number = 27

Answer is the third cube number.

b. sixth odd number = 11

fourth square number = 16

second cube number = 8

Answer is the fourth square number.

5 0

3 years ago

In ABC, a = 13,b=21, and c = 27. Find mA.

coldgirl [10]

Answer:

Step-by-step explanation:

a = 13 ; b = 21 ; c = 27

S = (a + b + c)/2

$= \dfrac{13+21+27}{2}\\\\=\dfrac{61}{2}\\\\= 30.5$

s- a = 30.5 - 13 = 17.5

s - b = 30.5 - 21 = 9.5

s -c = 30.5 - 27 = 3.5

Area = $\sqrt{s(s-a)(s-b)(s-c)}$

$= \sqrt{30.5*17.5*9.5*3.5}\\\\=\sqrt{17747.1875} \\\\=133.21\\\\=133$

$\dfrac{cbSin \ A}{2}=133\\\\\dfrac{27*21*Sin A}{2}=133\\\\Sin \ A = \dfrac{133*2}{27*21}\\\\Sin \ A = 0.4691\\\\A = Sin^{-1} \ 0.4691\\\\\\$

A = 27°

4 0

3 years ago

Help me on what does "The product of -9 and a number is greater than 15.find the number." HELP ME PLEASE

vredina [299]

The number has to be greater than -1 2/3

-9 · -1 2/3 = 15, but it has to be GREATER THAN 15.

Hope this helps :-)

7 0

3 years ago

A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a

storchak [24]

Answer: 267.

Step-by-step explanation:

When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :

$n=0.25(\dfrac{z^*}{E})^2$ , where z* = Critical z-value and E + amrgin of error.

Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.

Since , we have no prior information about p. so we use above formula

with E = 0.06 and critical value for 95% confidence =z* =1.96 [By z-table ] , we get

$n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267$

Hence, the required sample size is 267.

7 0

3 years ago

How many cubes with the side length of 1/2 unit do you need to form a three unit cube

jeka57 [31]

Answer:

216 cubes.

Step-by-step explanation:

The easiest way to take on this problem is to divide the side of the bigger cube by the smaller one.

$3 \div \frac{1}{2} = 3 \times 2 = 6$

Then, as in with volume, we cube this value to find the number of cubes necessary to fill such a space.

${6}^{3} = 216$

3 0

3 years ago

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