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3 years ago

Write the first six terms of the arithmetic sequence with the given first term, , and common difference, d.

Mathematics

1 answer:

Alex73 [517]3 years ago

3 0

9514 1404 393

Answer:

340, 250, 160, 70, -20, -110

Step-by-step explanation:

The first term is given. Each successive term is found by adding the common difference to the one before.

$a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}$

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4x - 3 = 5 X=? can anyone tell me please

vekshin1

Answer:

x = 2

Step-by-step explanation:

4x - 3 = 5

4x = 8

x = 8/4

x = 2

------------

4 (2) - 3 = 5

8 - 3 = 5

5 = 5

answer: x = 2

7 0

3 years ago

I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha

Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = $\frac{\theta}{360}(\pi r^{2})$

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = $\frac{60}{360}(\pi) (10^{2})$

= 52.36 in²

Area of equilateral triangle BCD = $\frac{\sqrt{3} }{4}(\text{Side})^2$

= $\frac{\sqrt{3} }{4}(10)^2$

= $25\sqrt{3}$ in²

= 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

= 9.06 in²

Area of sector CAD = $\frac{90}{360}(\pi)(\sqrt{50})^2$

= 39.27 in²

Area of right triangle CAD = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(\text{AC})(\text{AD})$

= $\frac{1}{2}(\sqrt{50})(\sqrt{50})$

= 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

= 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

= 23.33 in²

8 0

3 years ago

In the equation 32-b=3b-8

Marrrta [24]

Answer:

Step-by-step explanation:

32-b=3b-8

32+8=3b+b

40=4b

b=10

4 0

3 years ago

Read 2 more answers

Math (will give Brainliest) 1

Zielflug [23.3K]

Answer: Okay! Here is your answer!

Exact form : 41/6

Decimal form : 6.83 (line over the 3)

Mixed number form : 6 5/6

Step-by-step explanation: Substitute the value of the variable into the equation and simplify.

Hope this is what you were looking for and I hope it helps you out! ☺

7 0

3 years ago

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xenn [34]

Answer:

3/1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Write the first six terms of the arithmetic sequence with the given first​ term, ​, and common​ difference, d.

Write the first six terms of the arithmetic sequence with the given first term, , and common difference, d.