Find the sum of the geometric series if n=6, r= 1/4, a = 2.

A pole is held vertically by attaching wires at a height of 13.4 m above the ground. The other end of each wire is anchored in t

maks197457 [2]

Answer:

16.45 m
121.7°

Step-by-step explanation:

a) The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle from the the lengths of the legs:

c² = a² + b²

c = √(a² + b²) = √(13.4² +9.54²) ≈ 16.45 . . . meters

____

b) Using an appropriate vector calculator, you can find the sum of the given forces to be ...

100∠140° +200∠70° +160∠250° = 119.733∠121.704°

The forces have a resultant equivalent to a force at 121.7°.

__

If you're calculating this by hand, you can add the components of the forces:

a∠b = (a·cos(b), a·sin(b))

100∠140° ≈ (-76.604, 64.279)

200∠70° ≈ (68.404, 187.939)

160∠250° ≈ (-54.723, -150.351)

(Values are shown rounded here. You never round intermediate calculations, but maintain full calculator precision until the final answer.) Then the sum of these forces is approximately ...

resultant ≈ (-62.924, 101.866)

The (second quadrant) angle of this resultant is ...

angle = arctan(101.866/-62.924) ≈ 121.7°

5 0

2 years ago

What is the answer to 7/12 plus 1/3

viva [34]

Answer: 11/12

Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.

The fraction 7/12 already has a 12 in the denominator so we leave it alone.

To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.

Now we are adding like fractions.

To add like fractions, we simply add across the numerators.

7/12 + 4/12 = 11/12

Therefore, 7/12 + 1/3 = 11/12.

4 0

2 years ago

Please final exam !!!!!

zmey [24]

No x = -10 cannot be an input value because the x is the number of students , which can only be from 0 and above. You cannot have negative students.

5 0

2 years ago

(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child.

Serggg [28]

Answer:

i ) $96120

ii ) Singular adult fee in 2012: $186.91

Step-by-step explanation:

( i )

To find the costs of all 560 peoples you:

Multiply the amount of people by the fee,

440 × 198 = $87120

120 × 120 = $9000

Add these go get the sum of member fees: $96120

( ii )

First calculate what 1% of the adult fee would be:

198 ÷ 100 = 1.98 = 1%

Then calculate what 0.1% of the fee:

1.98 ÷ 10 = 0.198 = 0.1%

Now multiply 5 by the value of 1% to get 5% :

5 × 1.98 = 9.9

Then multiply 6 by the 0.1% to get 0.6% :

0.198 × 6 = 1.188

Add these numbers together to get:

1.188 + 9.9 = $11.088 = 5.6%

Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)

$11.09

We now subtract this from the 2013 fee to find out the 2012 fee

$198 - $11.09 = $186.91

$186.91 was the cost of a singular adult fee in 2012

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Bx%5E%7B2%2F5%7D%20%5D%5Bx%5E%7B1%2F5%7D%20%5D" id="TexFormula1" title="[x^{2/5} ][x^{1/5} ]

LUCKY_DIMON [66]

Answer:

$[x^{2/5} ][x^{1/5} ] \\ \\ = {x}^{ \frac{2}{5} + \frac{1}{5} } \\ \\ = {x}^{ \frac{2 + 1}{5} } \\ \\ = {x}^{ \frac{3}{5} } \\$

6 0

2 years ago