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3 years ago

An angle measures 12°. Find its complement. Do not include units in your answer.

Mathematics

2 answers:

polet [3.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

complements = 90

x + 12 = 90

-12. -12

× = 78

shtirl [24]3 years ago

8 0

If two angles are complementary,

then the sum of their measures is 90 degrees.

If two numbers add to 90, we can represent those numbers as x and 90 - x.

So we will call one of our angles x and its complement as 90 - x.

So we have 90 - 12 which is 78.

So the complement of a 12° angle is a 78° angle.

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Afina-wow [57]

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= b^3(b - 1) + (b - 1)
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3 years ago

Negative 15 plus 45 divided by 3

Furkat [3]

Answer:

Step-by-step explanation:

(-15+45)/3=10

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3 years ago

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

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3 years ago

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Please, see the attached files.

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3 years ago

29. Family income in the middle class: Bauer et al. (2011) identified the median income of a middle-class family in their sample

GREYUIT [131]

Answer:

No it is not

Step-by-step explanation:

The median is 84200

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When we calculate the middle value for this data

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2 years ago