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sattari [20]
3 years ago
8

The sum of 4 consecutive odd numbers is 40. What is the second number in this sequence?

Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0

Answer:

7,9,11,13 = 40

Step-by-step explanation:

second number is 9

zaharov [31]3 years ago
7 0

Answer:

9

Step-by-step explanation:

Let's call the numbers x, x+2, x+4, x+6

the sum is 40 which is 3x + 12 = 40

3x = 40 - 12

3x = 28

x = 7

The second number is x + 2 ➡ 7 + 2 = 9

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Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 5.00. What should be the length of B⃗ so that th
creativ13 [48]

Answer:

Length of B is 7.4833

Step-by-step explanation:

The vector sum of A and B vectors in 2D is

C=A+B=(a_1+b_1,a_2+b_2)

And its magnitude is:

C=\sqrt{(a_1+b_1)^2+(a_2+b_2)^2} =9

Where

a_1=Asinx

a_2=Acosx

b_1=Bsin(x+90)

b_2=Bcos(x+90)

Using the properties of the sum of two angles in the sin and cosine:

b_1=Bsin(x+90)=B(sinx*cos90+sin90*cosx)=Bcosx

b_2=Bcos(x+90)=B(cosx*cos90-sinx*sin90)=-Bsinx

Sustituying in the magnitud of the sum

C=\sqrt{(Asinx+Bcosx)^2+(Acosx-Bsinx)^2} =9

C=\sqrt{A^2sin^2x+2ABsinxcosx+B^2cos^2x+A^2cos^2x-2ABsinxcosx+B^2sin^2x} =9

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C=\sqrt{A^2+B^2} =9

Solving for B

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