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zloy xaker [14]
3 years ago
9

First-year students at a school must choose one each of 5 English classes, 4 history classes, 5 math classes, and 3 physical edu

cation classes. Find the total number of outcomes
Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

fwg

Step-by-step explanation:

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Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver
Artemon [7]
Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3} units



Answer: 5 \sqrt{3}

3 0
3 years ago
BESTIES PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST. Express as a trinomial (2x-6) (x-4)
zaharov [31]

Answer:

2x² - 14x + 24

Step-by-step explanation:

Use the FOIL method (First, Outside, Inside, Last).

First, multiply the first term of both parenthesis:

2x * x = 2x²

Next, multiply the outside terms of both parenthesis:

2x * -4 = -8x

Then, multiply the inside terms of both parenthesis:

-6 * x = -6x

Finally, multiply the last terms of both parenthesis:

-6 * -4 = 24

Combine like terms:

2x² - 8x - 6x + 24

2x² (-8x - 6x) + 24

2x² (-14x) + 24

2x² - 14x + 24 is your answer.

~

4 0
3 years ago
Read 2 more answers
What is the value of the remainder if 10x4 – 6x3 + 5x2 – x + 1 is divided by x – 3?
natita [175]

Answer:

Remainder is 691.

Step-by-step explanation:

Given function is 10x^4-6x^3+5x^2-x+1.

Now we need to find remainder if we divide given function 10x^4-6x^3+5x^2-x+1 by (x-3)

(x-3) means plug x=3 into 10x^4-6x^3+5x^2-x+1 to find remainder.

10x^4-6x^3+5x^2-x+1

=10(3)^4-6(3)^3+5(3)^2-(3)+1

=10(81)-6(27)+5(9)-(3)+1

=810-162+45-3+1

=856-162-3

=856-165

=691

Hence remainder is 691.

8 0
3 years ago
Read 2 more answers
Select the correct answer.
777dan777 [17]

I think option for the (D)

6 0
3 years ago
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2<br><br> Find F{G[H(2)]}
Tamiku [17]
H(2)=x²=2²=4
G[H(2)]=G(4)=3(4)+2=12+2=14
F[G[H(2)]]=F(14)=2(14)-1=28-1=27

Answer: F[G[H(2)]]=27

4 0
3 years ago
Read 2 more answers
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