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aliya0001 [1]
2 years ago
9

What decimal is greater 126.698 or 126.689?

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
5 0
126.698 beacuse 9 is greater than 8
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Find the area of a regular octagon with an apothem of 8
xenn [34]

Answer:

308cm²

Step-by-step explanation:

Assuming the given unit is in cm

The expression for the area of a regular Octagon is

A=2(1+√2)a²

Given the apothem a = 8cm

Substituting we have

A=2(1+√2)8²

A= 2(1+1.414)64

A= 2(2.414)64

A= 308cm²

6 0
3 years ago
Could i have some really really quick help?
nata0808 [166]

Answer:

1125 m

Step-by-step explanation:

Given equation:

h=-5t^2+150t

where:

  • h = height (in metres)
  • t = time (in seconds)

<u>Method 1</u>

Rewrite the equation in vertex form by completing the square:

h=-5t^2+150t

\implies h=-5t^2+150t-1125+1125

\implies h=-5(t^2-30t+225)+1125

\implies h=-5(t-15)^2+1125

The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point).  As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point.  Therefore, the maximum height is the y-value of the vertex: 1125 metres.

<u>Method 2</u>

Differentiate the function:

\implies \dfrac{dh}{dt}=-10t+150

Set it to zero and solve for t:

\implies -10t+150=0

\implies 10t=150

\implies t=15

Input found value of t into the original function and solve for h:

\implies -5(15)^2+150(15)=1125

Therefore, the maximum height is 1125 metres.

8 0
2 years ago
Read 2 more answers
The distance between planets in two stellar systems is 1.6x10^6 miles. If a spaceship is able to travel at 8,400 miles per hour,
emmainna [20.7K]

Answer:

Yes it will be able to make the journey in under a year.

Step-by-step explanation:

To find out how many hours it will take 1.6*10^2 and divide by 8400

\frac{1.6*10^2}{8400} = 190.476 hr

So it will take the space ship 190.476 hours to make the trip.

Next, ask our self, how many hours are in a year?

To find out multiply 365 * 24 = 8760 hr

The 365 = number of day in a year. The 24 = number of hours in a day.

Knowing how many hours there are in a year and how long the trip will take tells us that the journey can be made under a year since there are 8760 hours in a year and we know we can make it there in 190.476 hr traveling at 8400 mph

7 0
3 years ago
Notes
otez555 [7]

Answer:

2 YERAS AND 5 MONTHS

Step-by-step explanation:

90 = <u>910 X 4.1 X T </u>

              100

90X100 = 3731 X T

9000 = 3731T

T = 2.4

2 YEARS  AND .4X 12 = 5 MONTHS

IN 2 YEARS AND 5 MONTHS THE ACCOUNT WILL GROW TO $1,000

8 0
3 years ago
The y-intercept of a line is the value of the y- coordinate where the line crosses the ________
Shalnov [3]

y-axis

That last sentence though, I died reading that.

3 0
3 years ago
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