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denis-greek [22]
2 years ago
11

:

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
4 0

For this case we have the following arithmetic sequence:

a_ {n} = 15 + 5 (n-1)

To write in function form, we apply distributive property to the terms within parentheses:

f (n) = 15 + 5n-5

Different signs are subtracted and the major sign is placed.

We simplify:

f (n) = 5n + 10

Answer:

f (n) = 5n + 10

Option C

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Fill in table and find slope. Please answer ASAP and show work please!
dybincka [34]
Slope is 1/2 love u g
5 0
3 years ago
What is the volume of the triangular prism below 7.8 in 6 in 5 in 11.5 in
Zarrin [17]

Answer:

D. 172.5 inches cubed

Step-by-step explanation:

Have a good day :)

8 0
2 years ago
Bilal's favorite colors are red and green.
Arte-miy333 [17]

Answer:

P(A∪B) = 1/3

Step-by-step explanation:

Red  Garments = 1 red shirt + 1 red hat  + 1 red pairs of pants

Total Red Garments = 3

Green Garments =  1 green shirt + 1 green scarf + 1 green pairs of pants

Total Green Garments = 3

The total number of garments =  Total Red Garments + Total Green Garments:

3 + 3 = 6

Let A be the event that he selects a green garment

P(A) = Number of required outcomes/Total number of possible outcomes

P(A) =  3/6

Let B be the  event that he chooses a scarf

P(B) = 1/6

The objective here is to determine P(A or B) = P(A∪B)

Using the  probability set notation theory:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)

= 3/6-1/6

= 2/6

P(A∪B) = 1/2 + 1/6 - 2/6

P(A∪B) = 2/6

P(A∪B) = 1/3

8 0
3 years ago
Read 2 more answers
What is the value of x
motikmotik

Answer:

x = 4

Step-by-step explanation:

<u>All triangles add up to 180 degrees</u>

76 + 17x + 9x = 180

76 + 17x + 9x - 76 = 180 - 76

26x / 26 = 104 / 26

x = 4

Answer:  x = 4

3 0
3 years ago
suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or wh
sveta [45]
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.

How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.

So, substituting our values in, we have:

(2.6)² + (8.1)² = (8.6)²

Performing the necessary calculations, we have:

6.76 + 65.61 = 73.96
72.37 ≠ 73.96

Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
3 0
2 years ago
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