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2 years ago

8 classmates share 4 pizzas equally

Mathematics

1 answer:

trasher [3.6K]2 years ago

4 0

Answer:

each classmate gets half of a pizza

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The number of students enrolled at hill school decreased by 120 students over an 8-year period. what was the average decrease in

MAVERICK [17]

120 divided by 8= 15

15 students per year is the answer.

8 0

2 years ago

Jack broke apart 5x216 as (5x200) + (5x16) to multiply mentally.What strategy did Jack use?

777dan777 [17]

D. The distributive property That is what jack used

6 0

3 years ago

Solve for n 19 + 10n = 7n - 20

kakasveta [241]

Answer:

n = -13

Step-by-step explanation:

19 + 10n = 7n - 20

Subtract 7n from each side

19 + 10n-7n = 7n-7n - 20

19+3n = -20

Subtract 19 from each side

19+3n -19 = -20-19

3n = -39

Divide each side by 3

3n/3 = -39/3

n = -13

7 0

3 years ago

Pretty pretty please if ur good at geometry!! Help a girl out!!

sweet-ann [11.9K]

Answer:

Yes, They are similar by SSS PMK similar to LMQ.

Step-by-step explanation:

Similar triangles corresponding side lengths are in a proportion.

KM corresponds with MQ

PM corresponds with LM.

Set up this proportion.

$\frac{km}{pm} = \frac{lm}{mq}$

$\frac{15}{28} = \frac{21}{39.2}$

Cross multiply

$588 = 588$

So the triangles ARE Similar.

PM corresponds with LM
KM corresponds with MQ
PK corresponds with LQ
So PMK is similar to LMQ

4 0

3 years ago

For `z_1 = 9"cis" (5pi)/(6)` and `z_2 = 3"cis" (pi)/(3)`, find `(z1)/(z2)` in rectangular form.

sammy [17]

Answer:

option D is correct, i.e. 3i

Step-by-step explanation:

Given are the complex number as Z₁ = 9 cis(5π/6) and Z₂ = 3 cis(π/3)

So magnitudes are r₁ = 9, and r₂ = 3

And arguments are ∅₁ = 5π/6, and ∅₂ = π/3

We know the formula for division of complex number is given as follows:-

If Z₁ = r₁ cis(∅₁) and Z₂ = r₂ cis(∅₂)

Then |Z₁ / Z₂| = (r₁/r₂) cis(∅₁ - ∅₂)

|Z₁ / Z₂| = (9/3) cis(5π/6 - π/3)

|Z₁ / Z₂| = 3 cis(5π/6 - 2π/6)

|Z₁ / Z₂| = 3 cis(3π/6)

|Z₁ / Z₂| = 3 cis(π/2)

|Z₁ / Z₂| = 3 cos(π/2) + 3i sin(π/2)

|Z₁ / Z₂| = 3*(0) + 3i*(1)

|Z₁ / Z₂| = 0 + 3i

|Z₁ / Z₂| = 3i

Hence, option D is correct, i.e. 3i

8 0

3 years ago