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AveGali [126]
3 years ago
7

Please help!! Over several years, Stephon gathered data about his age and the time it took him to run two laps on the school tra

ck. The scatter plot shows the data he gathered and the line of best fit. The equation of the line of best fit is y = -2.1x + 565.6. Based on the line of best fit, approximately how long will it take Stephon to run two laps on the track when he is 192 months old?

Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

Answer:

Time taken by Stephen = 162 seconds

Step-by-step explanation:

Stephan gathered data which fits in the line of best fit,

y = -2.1x + 565.6

Where x represents the age (in months)

And y represents the time (in seconds) taken by Stephen to run two laps on the track.

Time taken to run 2 laps at the age of 192 months,

By substituting x = 192 months,

y = -2.1(192) + 565.6

  = -403.2 + 565.6

  = 162.4 seconds

  ≈ 162 seconds

Therefore, time taken by Stephen to cover 2 laps was 162 seconds when he was 192 months old.

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A hexagonal pyramid that has a slant height of 39 cm and its hexagonal base has a radius of 10√3 cm.
VMariaS [17]

Answer: 225

Step-by-step explanation:

Volume of the pyramid is calculated as 1/3 bh, where b is base and h is height

Given height as 39cm and a base of 10√3cm = 10 x √3, where √3= 1.73; base = 10 x 1.73 = 17.3

Slot the values into the formula:

Volume = 1/3 × 17.3 x 39

= 1/3 × 674.7 = 674.7/3

Volume = 224.9 approximately 225.

I hope this helps.

3 0
3 years ago
A rectangular floor is 18ft long and 12 ft wide. Lamar wants to carpet the floor with carpet tiles sold by square yard. Use the
WITCHER [35]

Solution

The dimension of the rectangular floor is 18ft long and 12 ft wide

Using the conversion table

It is given that 1yd =3 ft

This shows that

12 feet will be equivalent to

\frac{12}{3}=4yd

Also 18ft will be equialent to

\frac{18}{3}=6yd

Therefore the new dimension is 6 yard by 4 yard

The area will be

A=6\times4

Therefore the required area is

A=24yd^2

5 0
1 year ago
Sorry for asking so much;(
Bingel [31]
Length of line RS is probably 20 because it’s not smaller than the line it’s parallel to but it’s not equal either so the answer has to be c unless there’s a d that’s between 10-20
8 0
3 years ago
Read 2 more answers
The sum of the squares of two consecutive positive integers is 41. Find the two
Komok [63]

We have to present the number 41 as the sum of two squares of consecutive positive integers.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

16 + 25 = 41

<h3>Answer: 4 and 5</h3>

Other method:

n, n + 1 - two consecutive positive integers

The equation:

n² + (n + 1)² = 41     <em>use (a + b)² = a² + 2ab + b²</em>

n² + n² + 2(n)(1) + 1² = 41

2n² + 2n + 1 = 41     <em>subtract 41 from both sides</em>

2n² + 2n - 40 = 0     <em>divide both sides by 2</em>

n² + n - 20 = 0

n² + 5n - 4n - 20= 0

n(n + 5) - 4(n + 5) = 0

(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0

n = -5 < 0 ∨ n = 4 >0

n = 4

n + 1 = 4 + 1 = 5

<h3>Answer: 4 and 5.</h3>
7 0
3 years ago
HELP ASAP PLZ PLZ PLZ I GIVE BRAINLIEST
Yuki888 [10]

Answer:

12

Step-by-step explanation:

We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:

A=\frac{h(b_1+b_2)}{2}

Using this, we can substitute, and get:

A=\frac{4\cdot(2+4)}{2} = \frac{24}{2} = 12

Hope it helps!!

5 0
3 years ago
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