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Nata [24]
3 years ago
9

For a given arithmetic sequence, the first term, 47, is equal to 26, and the 37 th term, a37, is equal to 278. th Find the value

of the 4th term, a4.​
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

9514 1404 393

Answer:

  47

Step-by-step explanation:

<u>Given</u>:

  a1 = 26, a37 = 278

<u>Find</u>:

  a4

<u>Solution</u>:

Filling in the given values in the formula for the general term of an arithmetic sequence, we have ...

  an = a1 +d(n -1)

  a37 = 26 +d(37 -1) = 278

  d = (278 -26)/36 = 7 . . . . . . solve for d

Then the 4th term is ...

  a4 = 26 +7(4 -1)

  a4 = 47

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“a railroad bridge spans a gorge 40 feet wide and connects two cliffs at heights of 98 and 158 feet above the bottom of the gorg
VMariaS [17]

Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

8 0
3 years ago
Please help, thanks!
garri49 [273]

Answer:

c

Step-by-step explanation:

That is the correct answer

that is correct

8 0
3 years ago
a rectangular garden is 47 ft longer than it is wide. its perimeter is 314 ft. what is the equation to describe the width and le
Ronch [10]
The perimeter = 2 length + 2 width 

the length = the width +47

314 = 2*(w+47) +2w

314 = 2w +94 +2w

220 =4w

w= 220/4 = 55

l = 55+47 = 102

the length = 102 ft

the width = 55 ft 

hope helped 

3 0
3 years ago
A baseball stadium sells game tickets for $8 each and has a capacity of 200 people. The function M(x) = 8x represents the amount
ollegr [7]

The domain of the function is whole numbers less than or equal to<em> </em>200

The given parameters;

  • cost of the game tickets = $8 per spectator
  • maximum capacity of the stadium = 200

The function for the amount of money the baseball stadium makes from ticket sales is given as;

M(x) = 8x

where;

  • x  is the number of spectators

Since the maximum capacity of the stadium is 200, the number of spectators should be less or equal to 200.

x ≤ 200

Thus, the domain of the function is whole numbers <em>less than</em> or <em>equal to </em>200

Learn more here: brainly.com/question/16892163

8 0
2 years ago
What is the value for "x"?
Effectus [21]
The value of x is four
6 0
3 years ago
Read 2 more answers
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