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Tomtit [17]
3 years ago
9

Find the first five terms of each arithmetetic sequence describe a1 = -12 d = 5

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answer:

- 12, - 7, - 2, 3, 8

Step-by-step explanation:

The general terms of an arithmetic sequence are

a, a + d, a + 2d + ....... + a + (n - 1 )d

To obtain consecutive terms in the sequence add d = 5 to the previous term

a_{1} = - 12

a_{2} = - 12 + 5 = - 7

a_{3} = - 7 + 5 = - 2

a_{4} = - 2 + 5 = 3

a_{5} = 3 + 5 = 8

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Lilit [14]

The measure of first angle is 34 degrees and measure of second angle is 56 degrees

<em><u>Solution:</u></em>

Given that, the exterior sides of two adjacent angles make a right angle

Therefore, these adjacent angles forms 90 degrees

Let the second angle be "x"

The first angle has a measure that is six more than half the second

Therefore,

first angle = 6 + half of "x"

\text{ first angle } = 6 + \frac{x}{2}

Since these two angles forms 90 degrees,

first angle + second angle = 90

x + 6 + \frac{x}{2} = 90\\\\\frac{2x + 12 + x}{2} = 90\\\\2x + 12+x = 180\\\\3x + 12 = 180\\\\3x = 180 - 12\\\\3x = 168\\\\x = 56

<em><u>Therefore, first angle is:</u></em>

\rightarrow 6 + \frac{56}{2} = 6 + 28 = 34

Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees

6 0
3 years ago
I’m on a test so I need help
sladkih [1.3K]
The answer is 2 y2 -9
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cupoosta [38]

Answer:

50.24 units^2

Step-by-step explanation:

Area of circle formula: \pir^2

r = 4, \pi = 3.14

3.14 * (4^2) = 3.14 * 16 = 50.24

5 0
3 years ago
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What does k equal if <br>485= 1/((k)(5.99x10^-3))
Verizon [17]
k\ne 0

485=\frac{1}{(k)(5.99*10^{-3})}\\\\ \frac{485}{1}= \frac{1}{0.00599k}\\\\ 485*0.00599k=1\\\\ k=\frac{1}{485*0.00599}\\\\k\approx 0.3442
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3 years ago
Please help me this is due today!
ra1l [238]

Answer:

the answer is "d" i believe

Step-by-step explanation:

the opposite of a positive is a negative and it says "write your answer as a mixed number"

5 0
3 years ago
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