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jeyben [28]
3 years ago
10

Find a formula for the general term or of the sequence assuming the pattern of the first few terms

Mathematics
1 answer:
bearhunter [10]3 years ago
6 0

Answer:5n+6

Step-by-step explanation :an=a1+d(n-1)

=1+(-5)(n-1) or 1+-5n+5

an=-5n+6

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Is ΔFGH~ΔJKL? If so, identify the similarity postulate or theorem that applies.
Aleks [24]

Answer:

Correct choice is  C. Similar AA.

Step-by-step explanation:

We have been given a picutre of the triangles. Using those information we need to find the correct choice.

Consider triangle FGH and triangle JKL.

∠F≅∠J  {Both are equal to 30°}

∠H≅∠L  {Both are equal to 50°}

Then triangle  FGH is similar to the triangle JKL by AA - similarity of the triangle. Because we are getting two congruent angle pairs.

Hence correct choice is  C. Similar AA.

6 0
3 years ago
Alice and Bob each picks an integer number uniformly at random between 1 and n. Assume that all possible combinations of two num
kotegsom [21]

Answer:

(n-1)/2n

Step-by-step explanation:

½(1 - 1/n)

(n-1)/2n

7 0
4 years ago
1. Determine the magnitude of the resultant force acting on the plate and its direction, measured counter-clockwise from the pos
AlexFokin [52]
F1 . . . 100% of it = 900N is in the +x direction.

F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.

F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.

Total x-component:  900 + 530.3 - 520  =  1,950.3 N

Total y-component:  530.3 + 390  =  920.3 N

Magnitude of the resultant = √ (x²  +  y²)

                                       = √(1950.3²  +  920.3²)

                                       =  √4,650,070.09

                                       =   2,156.4 N  .

Angle of the resultant, measured counterclockwise
from the +x axis, is 
 
                               tan⁻¹  (y / x)

                         =    tan⁻¹  (920.3 / 1950.3)

                         =    tan⁻¹  (0.4719)

                         =    about    25.3°  .

Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions.  Before you use this
answer for anything, check it, check it, check it !

 
4 0
4 years ago
A point on the top of the Leaning Tower of Pisa is shifted about 13.5 ft horizontally compared to the tower's base. To the neare
madam [21]

Answer:

4.15^0.

Step-by-step explanation:

Given,

Leaning Tower of Pisa is shifted, P = 13.5 ft

Height of Leaning Tower of Pisa, B = 186 ft

Now, degree of tilt of the tower from vertical

\tan \theta = \dfrac{P}{B}

\tan \theta = \dfrac{13.5}{186}

\tan \theta = 0.0725

\theta = 4.15^\circ

Hence, angle of tilt is equal to 4.15^0.

4 0
3 years ago
Math Problem for math class
Eddi Din [679]

Answer:

The answer is number /Alphabetical:D

6 0
2 years ago
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