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3 years ago

12

Find the size of the marked angles

2 answers:

umka21 [38]3 years ago

7 0

B=55 c=40 hehehehehehehee

morpeh [17]3 years ago

3 0

Answer:

b = 55°

c = 35°

Step-by-step explanation:

b° = 180° - (85°+40°) = 180° - 125° = 55°

c° = 180° - (b°+90°) = 180° - (55°+90°) = 180° - 145° = 35°

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Find the general term of the quadratic sequence 3, 6, 11, 18, 27,....,...

AVprozaik [17]

Answer: 39.

Step-by-step explanation:

As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.

3 0

3 years ago

Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...

katovenus [111]

Answer:

$a_{12}=-244140625$

Step-by-step explanation:

Considering the geometric sequence

$5,-25,\:125,\:...$

$a_1=5$

As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$r=\frac{-25}{5}=-5$

$r=\frac{125}{-25}=-5$

The general term of a geometric sequence is given by the formula:

$a_n=a_1\cdot \:r^{n-1}$

where $a_1$ is the initial term and $r$ the common ratio.

Putting $n = 12$ , $r = -5$ and $a_1=5$ in the general term of a geometric sequence to determine the 12th term of the sequence.

$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

$a_{12}=5\left(-5\right)^{12-1}$

$=5\left(-5^{11}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

Therefore,

$a_{12}=-244140625$

6 0

3 years ago

Help me please with numbers 1-8 I'm stuck!!

siniylev [52]

Hopefully this helps, and sorry I didn't do 8 I'm limited on time

5 0

3 years ago

Which is the graph of a quadratic equation that has a negative discriminant?

Natasha2012 [34]

Answer:

D

Step-by-step explanation:

A negative discriminant indicates that the quadratic equation has no real roots.

Thus the graph does not touch or intersect the x- axis

The only graph that does not touch or intersect the x- axis is the fourth one

5 0

2 years ago

Read 2 more answers

How to change 50/12 to a mixed number?

11111nata11111 [884]

A mixed number is one that has an integer along with a proper fraction, so that would be (for this improper fraction):

50/12 = 4 1/6

12 goes into 50, 4 times with a remainder of 2

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so that's how i got the answer of 4 1/6

7 0

3 years ago