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3 years ago

Using approximations to 1 significant figure,

Mathematics

1 answer:

malfutka [58]3 years ago

5 0

Answer:

200

Step-by-step explanation:

Given:

0.482 x 61.2^2 ÷ √98.01

61.2^2 = 3745.44

√98.01 = 9.9

So,

0.482 × 3745.44 ÷ 9.9

= 1,805.30208 ÷ 9.9

= 182.35374545454

To one significant figure

= 200

One significant figure means only 1 non zero value and others are zero

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For the sequence an = an-1 + an-2 and ai = 2, a2 = 3,

loris [4]

Answer:

$a_1 = 2$

$a_2 = 3$

$a_3 = 5$

$a_4 = 8$

$a_5 = 13$

Step-by-step explanation:

Given

$a_n = a_{n-1} + a_{n-2}$

$a_1 = 2$

$a_2 = 3$

Solving (a): The first term

This has already been given as:

$a_1 = 2$

Solving (b): The second term

This has already been given as:

$a_2 = 3$

Solving (c): The third term

This is calculated as:

$a_n = a_{n-1} + a_{n-2}$

$a_3 = a_{3-1} +a_{3-2}$

$a_3 = a_2 +a_1$

$a_3 = 3 +2$

$a_3 = 5$

Solving (d): The fourth term

This is calculated as:

$a_n = a_{n-1} + a_{n-2}$

$a_4 = a_{4-1} +a_{4-2}$

$a_4 = a_3 +a_2$

$a_4 = 5+3$

$a_4 = 8$

Solving (e): The fifth term

This is calculated as:

$a_n = a_{n-1} + a_{n-2}$

$a_5 = a_{5-1} +a_{5-2}$

$a_5 = a_4 +a_3$

$a_5 = 8+5$

$a_5 = 13$

3 0

3 years ago

What is the value of x

Dima020 [189]

X= 25° becausr every triangle is 180° so just add and see how much is left then that's your answer

4 0

4 years ago

Read 2 more answers

In 1984 a locally-owned car company sold 2,743 cars. In 2003, the car sales rose to 4,069. What was the average rate of change f

tatiyna

Answer:

70 cars per year.

Step-by-step explanation:

Given:

In 1984 a locally-owned car company sold 2,743 cars.

In 2003, the car sales rose to 4,069.

Question asked:

What was the average rate of change for the total number of cars sold?

Solution:

In 2003 number of cars sold = 4069

In 1984 number of cars sold = 2743

Change in the number of car sold = 4069 - 2743

= 1326

Now, time interval between 2003 and 1984 = 19

$The\ average\ rate\ of\ change=\frac{Change\ in\ the\ number\ of\ car\ sold}{Time \ interval}$

$=\frac{1326}{19} \\=69.789\\\\=70\ cars\ per\ year\ (approx)$

Thus, the average rate of change for the total number of cars sold is 70 cars per year.

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3 years ago

Last year Alex and a monthly salary of 20 $50 and been earned a monthly salary of $180. This year each of them receive the pancr

almond37 [142]

1.25 x 250=$312.50 as Alex’s new salary.
1.25 x 180=$225 as Ben’s new salary.

Now subtract Ben’s salary from Alex’s salary
312.50 - 225=$87.50

Alex earned $87.50 more in one month than Ben

8 0

3 years ago

Determine whether the pair of equations represent parallel lines, perpendicular lines, or neither.

Ivahew [28]

Answer:

Parallel

Step-by-step explanation:

Parallel lines have the same slope but different y-intercepts. If you multiply the top equation by 2, you get:

2(12x + 4y = 16)

24x + 8y = 32

This shows that both lines have the same slope, but then you find the y-intercepts, they are different:

1st equation y-int = 4

2nd equation y-int = 9/2 or 4.5

6 0

4 years ago