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Alina [70]
3 years ago
14

5. Find the value of the variables. If your answer is not an integer, leave it in simplest radical

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer: D

x = 12sn(60)

x = 12 * 3/2 squared

x = 6 squared 3

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Find the series in A.P whose sum to n terms is n*(n+2)​
Lemur [1.5K]

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

S_{n} = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

3 0
3 years ago
What is 4.2 divided by 20.076
faust18 [17]

Answer:

0.209205

Step-by-step explanation:

I put it in the calculator and got this...

3 0
3 years ago
What is the solution to −1/4(d+1)<2
kogti [31]

Answer:

d > -9

Step-by-step explanation:

-\dfrac{1}{4}(d + 1) < 2

First, multiply both sides by -4. You must also change the inequality sign since you are multiplying both sides by a negative number.

-4 \times \left(-\dfrac{1}{4}\right)(d + 1) > 2 \times (-4)

d + 1 > -8

Subtract 1 from both sides.

d + 1 - 1 > -8 - 1

d > -9

5 0
2 years ago
6-1/2z=2/3<br> what is z?
Marina CMI [18]
6 - 1/2z = 2/3
subtract 6 from both sides
- 1/2z = -16/3
divide both sides by -1
1/2z = 16/3
rewrite
1z/2 = 16/3
multiply both sides by 2
1z = 32/3
z = 32/3 or 10 2/3

Hope this helps :)
8 0
3 years ago
Read 2 more answers
The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i
lubasha [3.4K]
<span>The sum of two numbers is 48.
a + b = 48
;
If one third of one number is 5 greater than one sixth of another number,
a = b + 5
multiply both sides by 6, cancel the fractions
2a = b + 30
2a - b = 30
</span><span>use elimination to solve this
a + b = 48
2a - b =30
-------------Addition eliminates b, find a
3a = 78
a = 
a = 26
then
26 + b = 48
b = 48 - 26

b = 22</span>
5 0
3 years ago
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