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Colt1911 [192]
3 years ago
10

Please answer this math

Mathematics
1 answer:
ohaa [14]3 years ago
3 0
6 cm squared I believe
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The third term of an arithmetic sequence is 15 and when 20 is added to the third term the
djyliett [7]

Answer:

Common difference = 4

Position of 103 = 25th term

Step-by-step explanation:

a)

According to the given information:

a_3 + 20 = a_8

a+ (3-1)d + 20 = a+ (8-1)d

\cancel a+ 2d + 20 = \cancel a + 7d

2d + 20 = 7d

20 = 7d-2d

20 = 5d

d = \frac{20}{5}

\purple {\bold {d = 4}}

Common difference = 4

b)

\because a_3 = 15....(given)

\therefore a + (3-1)d = 15

\therefore a + 2d = 15

\therefore a + 2\times 4= 15

\therefore a + 8= 15

\therefore a = 15-8

\red{\bold {\therefore a = 7}}

\because a_n = a + (n - 1) d

\therefore 103 = 7 + (n - 1)4

\therefore 103 - 7 = (n - 1)4

\therefore 96 = (n - 1)4

\therefore \frac{96}{4}= n - 1

\therefore 24= n - 1

\therefore 24+1= n

\blue{\bold {\therefore n = 25}}

So, the position of 103 in this sequence is 25th term.

8 0
3 years ago
Please hurry<br> Which is a factor of x2+ 7x + 10?
ohaa [14]

Answer:

x+5

Step-by-step explanation:

x^2+7x+10=0

(x+5)(x+2)=0

The only factor on that list is x+5, meaning that it is the answer. Hope this helps!

4 0
3 years ago
You choose two different movies on a list at random. Out of 15 movies on the list, 9 are action movies. The first movie you choo
docker41 [41]

Answer:

the probability is 8/15 depending on whether the problem counts the drawing one out of the bag as one gone. Leaving the first one drawn, the probability would be 3/5.

Step-by-step explanation:

number of action movies/total number of movies= 9/15=3/5

3/5 is the probability of drawing an action movie from the bag. However, since you just drew one out, the fraction changes to 8/15.

5 0
3 years ago
I need help with this asap
babymother [125]
3/4 I believe because its less than 4/5 but more than 2/3
7 0
3 years ago
Read 2 more answers
What is the least common multiple of 4 and 6? *<br><br> 1. 24<br> 2. 12<br> 3. 4<br> 4. 6
azamat

Answer:

12

Step-by-step explanation:

6 0
3 years ago
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