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3 years ago

Simplify this expression

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

6 0

Answer:

$\frac{1}{2} + \frac{g}{2h}$

another equivalent form would be the following:

$\frac{g}{2(g+h)}$

Step-by-step explanation:

$\frac{4g}{8(g+h)}=\frac{g}{2(g+h)} = \frac{g}{2g+2h} = \frac{1}{2} + \frac{g}{2h}$

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If the volume of a sphere is 36 pi cubic units, what is the radius?

Radda [10]

Answer:

3 units

Step-by-step explanation:

Hello

The sphere volume is:

(4/3)*Pi*r^3

then

36 = (4/3)*Pi*r^3

36/[(4/3)*Pi] = r^3

8,5 = r^3

r = 3

Best regards

5 0

3 years ago

1 1/5 + 3/4 - (-3 3/5) - (-2 1/4)

babymother [125]

Step-by-step explanation:

$= 1 \frac{1}{5} + \frac{3}{4} - ( - 3 \frac{3}{5} ) - ( - 2 \frac{1}{4} )$

$= 1 \frac{1}{5} + \frac{3}{4} + 3 \frac{3}{5} + 2 \frac{1}{4}$

$= (1 + 3 + 2) + ( \frac{1}{5} + \frac{3}{4} + \frac{3}{5} + \frac{1}{4} )$

$= 6 + ( \frac{4 + 15 + 12 + 5}{20} )$

$= 6 + \frac{36}{20}$

$= 1 + 6 + \frac{16}{20}$

$= 7 + \frac{4}{5}$

$= 7 \frac{4}{5}$

8 0

3 years ago

Read 2 more answers

There is a total of 25 bicycles. If the ratio of gray bicycles to black bicycles is 6 to 9, how many of them are black?

sveta [45]

the ratio is 6 to 9, 9 out of (6+9) 15 bicycles will be black.

25 * 9/15 = 15

there will be 15 black bicycles

8 0

3 years ago

A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence inter

jasenka [17]

Answer:

The 80% confidence interval for the mean

(4.6199 , 4.7801)

Step-by-step explanation:

Explanation:-

Assuming that the population standard deviation for the number of energy drinks consumed each week is 1

Given the Population standard deviation 'σ' = 1

The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7

given sample size 'n' = 256

mean of the sample 'x⁻' = 4.7

confidence interval for the mean

The 80% confidence interval for the mean is determined by

$(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\alpha }\frac{S.D}{\sqrt{n} } )$

the z-score of 80% level of significance = 1.282

$(4.7 - 1.282\frac{1}{\sqrt{256} } , 4.7 + 1.282\frac{1}{\sqrt{256} } )$

(4.7 - 0.0801 , 4.7 +0.0801)

(4.6199 , 4.7801)

Conclusion:-

The 80% confidence interval for the mean

(4.6199 , 4.7801)

7 0

3 years ago

Please help asap sssss

Zigmanuir [339]

Answer:

Sin(theta) = 3/5

Step-by-step explanation:

Remark

The Sin(theta) = opposite / hypotenuse

The opposite side is not defining the angle. The hypotenuse is the longest side of a right triangle.

In this case the opposite is 3

The hypotenuse = 5

Answer: Sin(theta) = 3/5

7 0

2 years ago