4

Mathematics

1 answer:

masha68 [24]2 years ago

6 0

Answer:

Step-by-step explanation:

If You have 9/4 then you have to go backwards and that means subtracting everything you have to get to 0. that means you take away what you have which is 9/4.

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Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

GalinKa [24]

Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

<u>Hexagon</u>

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

7 0

3 years ago

Describe a real life multiplication situation for which an estimate makes sense

Drupady [299]

If you are trying to create a garden of potted plants, you would find out how much soil each pot needs/holds and multiply that by how many pots you plan to use. then you would go to the store for potting soil, which let’s say came in smaller packs and you need to purchase multiple. use multiplication estimation to estimate how many bags you’d need.
I know this is a dumb example...sorry this is one I remember from my fourth grade math teacher ahah

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3 years ago

If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over?

Katyanochek1 [597]

Answer:

$= area \: of \: square - area \: of \: circle \\ = (s \times s) - (\pi {r}^{2} ) \\ = (24 \times 24) - (3.14 \times ( { \frac{24}{2} })^{2}) \\ \\ = 576 - 452.16 \\ = 123.84 \: square \: inches$