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Radda [10]
3 years ago
11

Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When

he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0
Leo is not visiting new york
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If the nth term of an A.P. is 3n+2, find the sum of first 'n terms of that AP.​
alexdok [17]

Answer:

S_{n} = \frac{n}{2} (3n + 7)

Step-by-step explanation:

We require to find the first term a₁ and the common difference d

The n th term is given by 3n + 2, thus

a₁ = 3(1) + 2 = 3 + 2 = 5

a₂ = 3(2) + 2 = 6 + 2 = 8

d = 8 - 5 = 3

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ], substitute values

S_{n} = \frac{n}{2} [ (2 × 5) + 3(n - 1) ] = \frac{n}{2} (10 + 3n - 3) = \frac{n}{2} (3n + 7)

6 0
4 years ago
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Brainliest + Points!
sukhopar [10]

Answer:

FICA tax should his employer withhold be $24.92 .

Option (D) is correct .

Step-by-step explanation:

As given

Bill’s FICA tax is 7.65% of his earnings of 325.78 per week.

7.65 % is written in the decimal form.

= \frac{7.65}{100}

= 0.0765

FICA tax price = 0.0765 × Earning of a week

Putting values in the above

FICA tax price = 0.0765 × 325.78

                         = $ 24.92 (Approx)

Therefore the  FICA tax should his employer withhold be $24.92 .

Option (D) is correct .

4 0
4 years ago
Consider the system of equations, y = f(x) and y= g(x), where
NARA [144]

Answer:

  (x, y) = (3, 26)

Step-by-step explanation:

I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.

  (x, y) = (3, 26)

__

As an alternative, here, the equations can be subtracted.

  y = f(x)

  y = g(x)

  0 = f(x) - g(x)  . . . .  subtract the second equation from the first

  0 = 11x -7 -(3x +17)

  0 = 8x -24 . . . . simplify

  0 = x -3 . . . . . . .divide by 8

  3 = x

Now, we can substitute into either equation:

  y = g(x) = 3(3) +17 = 26

The solution is (x, y) = (3, 26).

8 0
3 years ago
The length of a rectangle is 1 less than twice the width. The area of the rectangle is 28 square feet.What is the length of the
Ymorist [56]
We need to use that first sentence to get the length in terms of the width because you can't have more than 1 unknown in a single equation without running into impossible problems.  Putting those words into a usable, viable equation, gives us L = 2w - 1.  That's the length that is 1 less than twice the width.  The width is just w.  Area then requires that we multiply the length and the width together.  We have an area of 28, so here's what that looks like: 28=(2w-1)(w).  Distribute the right side to get 28=2w^2-w.  Now, set the equation equal to 0 and bring the 28 over to the other side by subtraction so we can factor the polynomial.  2w^2-w-28=0.  Factor that best by putting those values into the quadratic formula to get that w = 4 and w = -3.5.  We know, however, that the 2 things in math that will never EVER be negative are time and distance/length, so -3.5 is out.  That means that the width is 4.  The length equation, remember, is L = 2w-1, so L=2(4)-1 which is 8-1 = 7.  The width is 4 and the length is 7.
6 0
4 years ago
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Suppose the primes p and q used in the rsa algorithm are consecutive primes. how would you factor n
zmey [24]
I would look for the first prime larger (or smaller) than √n.
8 0
3 years ago
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