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2 years ago

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Mathematics

1 answer:

MArishka [77]2 years ago

7 0

Answer: i dont understand

Step-by-step explanation:

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Show that the value of cos 30 x tan 60 + sin 30 is an integer

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Answer:

ang hirap nang tanong

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3 years ago

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The solution to an inequality is graphed on the number line.

Charra [1.4K]

Because the arrow is pointing to the left, the answer to the solution set needs to be less than the the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

The answer is:

{x | x ≤ 4.5}

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3 years ago

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If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .

Tems11 [23]

Divide through everything by b :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}$

Since a/b < c/d, it follows that

$\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}$

Multiply through everything on the right side by b/d to get

$\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd$

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}$

and a/b < c/d tells us that

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}$

Then

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab$

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

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3 years ago

There are 6,000,000 people in orlando florida. jasper alabama has approximately 2,000 . how many times larger is the population

Papessa [141]

we need to divide the population of Orlando Florida between the population of Jasper

$\frac{6000000}{2000}=3000$

the population of Orlando Florida is 3000 times larger than the population of Ja

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1 year ago

Q1. A fluorescent lamp takes in energy from the electricity supply at the rate of 18 joules each second. It gives out 3 joules o

Dmitrij [34]

Answer:

15 joules

Step-by-step explanation:

SUBTRACT 3 FROM 18

18 JOULES-3 JOULES=15 JOULES

HOPE IT HELPS

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2 years ago