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sergij07 [2.7K]

3 years ago

7

WHICH ONE OF THESE NUMBERS IS AN

1 answer:

iris [78.8K]3 years ago

6 0

Answer:

D) 2

Step-by-step explanation:

An integer is any whole number negative or positive. 1/3 is not an integer because it is a fraction, not a whole number. 12.5 and 0.75 are not integers because they are decimals, not whole numbers. 2 is an integer because it is a full number.

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Prove that sin20 sin40 sin60 sin80=3/16

xeze [42]

Sin 20° · sin 40° · sin 80° = 1/2 ( cos 20° - cos 60° ) · sin 80° =
= 1/2 ( cos 20° sin 80° - cos 60° sin 80° ) =
= 1/2 ( (sin 100° + sin 60°)/2 - 1/2 sin 80° )= ( sin 100° = sin 80° )
= 1/2 · ( 1/2 sin 60° ) = 1/4 sin 60° = √3 / 8
sin 60° = √ 3/2
√ 3 / 2 · √ 3 / 8 = 3/16 ( correct )

3 0

3 years ago

Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form

yKpoI14uk [10]

Answer:

$\displaystyle a_{1} = 108$

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

$\displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r}$

we are given that

$S_n=189$
$r=\dfrac{1}{2}$
$n=3$

thus substitute:

$\displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} }$

to figure out $a_1$ we need to figure out the equation

simplify denominator:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189$

simplify square:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189$

simplify substraction:

$\displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189$

simplify complex fraction:

$\displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189$

calculate reciprocal:

$\displaystyle a_{1} \frac{7}{8} \times 2 = 189$

reduce fraction:

$\displaystyle a_{1} \frac{7}{4} \ = 189$

multiply both sides by 4/7:

$\displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7}$

reduce fraction:

$\displaystyle a_{1} = 27\times 4$

simplify multiplication:

$\displaystyle a_{1} = 108$

hence,

$\displaystyle a_{1} = 108$

4 0

3 years ago

How many seasons old is Darla if she is 24 years old?

Natalija [7]

She would be 6 seasons old since there are 4 seasons in a year
6•4=24
I believe that would be the answer

5 0

4 years ago

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Last month a Carpenter made five tables this month he made 80% more than that how many tables do the carpenter make this month

Nataliya [291]

Answer:

9 tables

Step-by-step explanation:

5 × 1.8 = 9

to find how many tables he made you have to multiply the number he made by 1, then .(whatever the percent is)

4 0

3 years ago

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Giving brainliest to the first person who names this character or comments (if i like you)

Anna [14]

Answer- I do not know but I really want to know lol. What is it

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3 years ago

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