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4 years ago

Find the 15th term of the arithmetic sequence -5x+3−5x+3, -9x-2−9x−2, -13x-7,.......???

Mathematics

1 answer:

Anna35 [415]4 years ago

5 0

Answer:

- 61x - 67

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

d = - 9x - 2 - (- 5x + 3)

= - 9x - 2 + 5x - 3

= - 4x - 5 and a₁ = - 5x + 3, thus

$a_{15}$ = - 5x + 3 + 14(- 4x - 5) = - 5x + 3 - 56x - 70 = - 61x - 67

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3 years ago

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arlik [135]

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3 years ago

A central angle of a circle with radius 150 cm cuts off an arc of 200 cm. Find each measure in Exercises 4 and 5.

Harrizon [31]

Answer:

Part 1) The exact value of the arc length is

Part 2) The approximate value of the arc length is

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

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we have

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substitute

$C=2\pi (5)$

$C=10\pi$ $in$

step 2

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step 3

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6 0

2 years ago

I need help to solve it

timama [110]

Notice that the two semicircles have a radius of 10/2=5 and that their area is simply the area of a complete circle with a radius of 5. In the center you have a rectangle that is 10 by 8. So the total area is:

A=pr^2+xy

A=25p+80 m^2

A≈158.53 which is:

A≈158.5 m^2 (to the nearest tenth of a m^2)

4 0

4 years ago

Read 2 more answers

Find the area of the trapezoid using the formula using the A=1/2h(b1+b2)

pentagon [3]

Answer:

9

Step-by-step explanation:

1/2 bh (b1+b2)
Count all the squares for the base (6 squares)
Half it bc 1/2bh, which is not 3(h)
Now count the amount of squares to the top of it from the bottom (3 as well)
Now the problem is 3(3) which is 9.
So, the answer is 9

Hope this helps! Comment on it if you need more explanation!:)

4 0

3 years ago