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3 years ago

Is the sequence Arithmetic: 37, 31, 25, 19

Mathematics

1 answer:

Eva8 [605]3 years ago

6 0

Answer:

Yes, it is an Arithmetic Sequence

Step-by-step explanation:

$31 - 37 = - 6 \\ \\ 25 - 31 = - 6 \\ \\ 19 - 25 = - 6 \\$

Since the difference between any two consecutive terms is same (- 6). Hence, 37, 31, 25, 19 is an Arithmetic sequence.

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The volume of a cone varies jointly as the height of the cone and the area of the base. The volume of a cone with height 30 cent

irina [24]

Answer:

V₂=28cm³

Step-by-step explanation:

Way 1

The volume of a cone is $V=\frac{\pi r^{2}h}{3}$ , and h₁ = 30 cm but the base (Ba₁) is 14 cm², so

$V=\frac{Ba.h}{3}$ , where Ba= Base area

if h₂=7cm and Ba₂=12cm² then

$V_{1} =\frac{12cm^{2}.7cm}{3}=28cm^{3}$

Way2

If the volume of a cone varies jointly as the height of the cone and the area of the base, then we must find the relationship between the bases and heights of the cones

Ba₁*h₁ = 30cm*14cm² = 420cm³

Ba²*h²= 7cm*12cm² = 84cm³

420/84 = 5; ratio = 5 also

V₂=V₁/5 ⇒ V₂=140cm³/5 = 28cm³

8 0

3 years ago

Read 2 more answers

Solve for e. (-7) = e/3 + 14

raketka [301]

(-7) = e/3 + 14

Subtract 14 on both sides

-7 - 14 = e/3 + 14 - 14

-21 = e/3

Multiply by 3 on both sides

-21 * 3 = e/3 * 3

-63 = e

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nalin [4]

I think its the first one (x+5,y+6)

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3 years ago

The number of students in a chess club decreased from 17 to 10. What is

Svetllana [295]

Answer:

41.18%

Step-by-step explanation:

Initial number = 17
Final number = 10

Decrease in number:

17 - 10 = 7

Percent decrease:

7/17*100% = 41.18% (rounded)

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Step-by-step explanation:

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