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tatyana61 [14]
3 years ago
10

The sum of 33 consecutive even numbers is 7878. What is the second number in this sequence?

Mathematics
1 answer:
kondaur [170]3 years ago
7 0
78 ÷3 =26

26 is the answer
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An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch
solong [7]

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

V=\frac{1}{3}\pi  r^{2} h

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

\frac{1}{3}\pi  (1.5)^{2}(5) = 11.781

So our final answer is around 11.8 cubic inches.

3 0
3 years ago
9x + Зу = -3<br> 2х - у = -4
Irina18 [472]
Answer: (-1, 2)

explanation:

3(2x-y=-4)
6x-3y=-12

9x+3y=-3
6x-3y=-12

15x=-15
x=-1

2(-1) - y = -4
-2-y=-4
-y=-2
y=2
5 0
2 years ago
What are the next three terms in the pattern 2, 6, 18, 54, ...?
castortr0y [4]

Answer:

OPTION B: 162, 486, 1458

Step-by-step explanation:

The given sequence is 2, 6, 18, 54, . . .

It is a geometric sequence and the common difference is 3.

The general form of a geometric sequence is: a, ar, ar², ar³, . . .

Here a = 2 and r = 3.

$ n^{th} $ term of a Geometric progression is $ ar^{n - 1} $.

Note that the fourth term is 54.

i.e., $ ar^3 = 54 $

$ \implies ar^4 = ar^3 . r = 54 . 3 = 162 $.

Similarly, $ ar^6 = 162 \times 3 = 486 $.

Also, $ ar^7 = ar^6 . r = 486 \times 3 = 1458 $.

Hence, OPTION B is the answer.

8 0
3 years ago
Read 2 more answers
Pythagorean Theorem
pshichka [43]

Answer:

1) 6^2 + 8^2 = x^2

36 + 64 = x^2

100 = x^2

x = 10 feet

2) 15^2 + 8^2 = x^2

225 + 64 = x^2

x ^ 2 = 289

guy rope = 17 feet


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Can somebody check my answer please <br> I think the answer is 56 but I want to be sure :)
leva [86]

Answer:

yup its right

Step-by-step explanation:

7uhkt8kfd

8 0
2 years ago
Read 2 more answers
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