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12345 [234]
3 years ago
15

Opinion needed!!

Mathematics
1 answer:
Savatey [412]3 years ago
7 0
Ap comp science principals is really easy for an ap class, probably because its an intro course, i took it this year, don’t overwhelm yourself id personally take precalc honors
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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?
MAVERICK [17]

Answer:  The correct option is

(E) 70.

Step-by-step explanation:  We are given to find the number of  triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the total number of triangles and quadrilaterals is

n=n_t+n_q=35+35=70.

Thus, option (E) is CORRECT.

8 0
3 years ago
Which statement is true?
valentinak56 [21]

Answer:

  |-3| = 3 and -|-4| = -4

Step-by-step explanation:

The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.

|-3| = 3 (true) and -|-4| = -4 (true)   ⇒ this statement is true

|-3| = 3 (true) and |-4| = -4 (false)   ⇒ this statement is false

-|3| = 3 (false) and |4| = 4 (true)   ⇒ this statement is false

|-3| = 3 (true) and -|4| = 4 (false)   ⇒ this statement is false

__

<em>Additional comment</em>

A compound "and" statement is only true if <u>all</u> of the parts of it are true.

8 0
2 years ago
today ryan burned 1002.9 calories while exercising, yesterday, he burned 399 calories. how many more calories did ryan today tha
iVinArrow [24]
He burned 603.9 more calores today than yesterday
8 0
3 years ago
Which equation can be used to find the measure of Arc E H G?
anygoal [31]

Answer:

I need more context ,like the graph to figure this out.

Step-by-step explanation:

5 0
3 years ago
If f(x)=x^2 + 8x find f(d-3)
pogonyaev
F(x)=x^2 +8x
f(d-3) basically what we get from this is that the x value is d-3
to find f(d-3) simply plug in d-3 for every x
f(d-3)=(d-3)^2 + 8(d-3)
that would be one form of the answer, but we can also continue multiplying it out
f(d-3)= d^2-6d+9+8d-24
add like terms
f(d-3)=d^2+2d-15

have a nice day and i hope this helps :)
7 0
3 years ago
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