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Alika [10]
3 years ago
9

Roberto has 24 stickers that he will put into packs. each pack will have the same number of stickers. what are all the ways that

roberto can put the stickers into packs. Justify your answer please
Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0

Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24.

So he can put the stickers in the order: 1, 2, 3, 4, 6, 8, 12 and 24.

Hope this helps! :D

Phantasy [73]3 years ago
5 0
1 sticker in 24 packs
2 stickers in 12 packs
3 stickers in 8 packs
4 stickers in 6 packs
6 stickers in 4 packs
8 stickers in 3 packs
12 stickers in 2 packs
24 stickers in 1 pack
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What is the correct notation for a function that has any given input value equal to its output value?
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Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A
alekssr [168]

Answer:

\theta_{CAB}=128.316

\theta_{ABC}=25.842

\theta_{BCA}=25.842

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A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

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CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

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\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}

\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)

\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)

\theta_{ABC}=\arcsin{0.4359}\right)

\theta_{ABC}=25.842

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\theta_{BCA}=25.842

this can also be checked using the fact the sum of all angles inside a triangle is 180

\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180

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180

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