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suter [353]
3 years ago
15

Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Answer:

it can be factorized. this image gives solution

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8 Leandra's fastest time for the 400 m is 70 seconds. In his next race he improves by
disa [49]

8) a) The new fastest time is 56.7 seconds, b) The <em>overall percentage</em> improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

<h3>How to apply percentages in real life applications</h3>

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100)     (1)

Where:

  • C - Initial value
  • C' - Final value
  • r - Percentage of change.

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The <em>overall percentage</em> improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

3 0
2 years ago
What is this number in standard form? <br> (8×100)+(4×1)+(6×1100)+(3×11,000)
Korvikt [17]

Answer:

40404

Step-by-step explanation:

is this helpful????

5 0
2 years ago
Read 2 more answers
A cone has a radius of 5 inches and a height of 10 inches. What is the volume of the cone? Use 3.14 for pi. Round to the nearest
RideAnS [48]

Answer:

261.8 in^3

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(base)(height), where "base" is the area of the base.

In this case, with the radius being 5 in and the height 10 in, we get:

V = (1/3)*π*(5 in)^2*(10 in), which simplifies to 261.8 in^3.

8 0
3 years ago
Find the length of each missing side and each missing angle in the isosceles triangle below.
Zarrin [17]

Answer:

x = 45

y = 45

z = 11.1

Step-by-step explanation:

Remark

The triangle is a right triangle. That means that it has 1 right angle.

It is also isosceles which means that the two legs that are not the hypotenuse are equal.

Result: z and 11.1 are equal z = 11.1

More remark

If the triangle is isosceles, that means that the angles that are not right angles must also be equal.

90 + x + y = 180

but x = y

90 + 2x = 180                  Subtract 90

2x = 180 - 90                   Divide by 2

2x/2 = 90/2

x = 45

3 0
2 years ago
A bicycler traveled 45 mi. at an average speed of 6 mi./hr. How long did the ride take?
kobusy [5.1K]

Answer:

The ride took 7 1/2 hours to complete.

Step-by-step explanation:

If the bicyclist is going at a constant speed of 6mi/hr it would take 7 1/2 hours to ride 45 miles.

6*7 1/2=45

7 0
3 years ago
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