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Sliva [168]
3 years ago
14

There are 4 portable classrooms at Glynn High School. Four teachers will be assigned to the rooms. In how many ways can these as

signments be made?
Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

24

Step-by-step explanation:

In the first classroom, there are 4 possibilities of teachers to be assigned.

In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.

In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.

Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.

We can find the total number of possibilities using the product rule.

N = 4 × 3 × 2 × 1 = 24

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I need to algebraically prove that a polynomial I created is true for a project.
natta225 [31]

The factors are

(x-y)(x-y)
or
(x-y)^2

Explanation:

We need to factor the trinomial
x^2-2xy+y^2

The factors of x^2 = (x)(x)
The factors of y^2 = (y)(y)

Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.

The factors are

(x-y)(x-y)
or
(x-y)^2

Check by FOIL
Firsts (x)(x) = x^2
Outers (x)(-y) = -xy
Inners (-y)(x) = -xy
Lasts (-y)(-y) = y^2
combine the middle terms
(-xy)+(-xy) = -2xy

<span>x^2-2xy+y^2</span>

7 0
3 years ago
Find the value of angle A and angle B pls help (:
ankoles [38]

Answer:

m<A=97

m<B=97

Step-by-step explanation:

m<A=m<B

Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.

m<A is supplementary to 83 degrees

Supplementary angles are two angles that sum up to 180 degrees.

180-83=97

97 degrees is the answer for each missing angles.

7 0
3 years ago
What is the y-intercept of y=1.5x?
gayaneshka [121]
The y-intercept occurs when x=0.
In your equation y=1.5x, when x=0, y=0. So the y-intercept is (0,0), which is the origin.
4 0
4 years ago
I WILL GIVE BRAINLIEST AND 5 STARS TO CORRECT ANSWER AND IF YOU SHOW YOUR WORK
marysya [2.9K]
The formula for an arithmetic sequence is An=A1+(n-1)d. 
Using this knowledge, you can set up the equation easily to be An=1+(12-1)-5
You then simplify this to 1-55 using PEMDAS, giving you the answer for the twelfth term being -54, you then do this for every term if you want (or you could just subtract 5 by the terms after 14 till you get to -54. After all that, you add the twelve terms up to get -319 as your final answer
7 0
3 years ago
Read 2 more answers
MATH HELP PLEASE! I NEED HELP IM DUMB
deff fn [24]

First of all...YOU'RE NOT DUMB!!! You just need some help! Being confident in your knowledge/skills is half the work! ;D

And second...

PART 1:

28. Polygon ABCDE is a pentagon (it has five sides). The sum of the interior angle measures for a pentagon is 540°. Here's what we know:

m<A = 90°

m<B = 90°

m<D = 90°

m<C = m<E

First, find the sum of the measures of angles A, B, and D.

(90)(3) = 270°.

Next, find the combined angle measure of angles C and E.

540 - 270 = 270°.

Finally, find the measure of angle E (or m<AED).

270 / 2 = 135°.

So, to fill in the blanks:

90 · 3 + x · 2 = 540

m<AED = 135°.

29.

(a) 360°

(b) hexagon

(c) 1080

(d) hendecagon (11 sides)

I have attached a table containing a list of polygons, their side-count, and the sum of their interior angles.

PART 2:

Complimentary angles are angles whose measures add to equal 90°.

Supplementary angles are angles whose measures add to equal 180°.

30. 35° + 55° = 90°; Complimentary.

31. 62° + 108° = 170°; Neither.

Hope this helps!

5 0
4 years ago
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