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valina [46]
3 years ago
6

1. The South Bowie Library and Oxon Hill Library are having a used book sale. The total cost, y, is a

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

if there is any there should not be tho

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Find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Ierofanga [76]

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

  • a = 1
  • b = 2
  • Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

6 0
3 years ago
Read 2 more answers
24) sin x = 1/3<br> Find cos x.
liq [111]

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

6 0
3 years ago
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14+16+11+2+6+6+15+2+11<br> And round to the nearest tenth
Liula [17]

Answer:

83

Step-by-step explanation:

Add the numbers together

5 0
3 years ago
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Which pair of expressions is equivalent?
dlinn [17]

Answer:

B

Step-by-step explanation:

sorry if i am wrong

6 0
3 years ago
The ratio of the Areas of the bases of these cones is 9 to 4.
Lapatulllka [165]

Answer:

Step-by-step explanation:

This is something you learn in Geometry.  Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!

The rule for similar figures is

ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).

We are given area.  You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.

If the area is the one-to-one squared, then

\frac{\sqrt{9} }{\sqrt{4} }=\frac{3}{2}

The one-to-one is 3:2.  To get to the volume now, cube those one-to-one values:

\frac{3^3}{2^3}=\frac{27}{8}

7 0
3 years ago
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