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3 years ago

Find the positive solution and please explain how ;4;

Mathematics

1 answer:

valentina_108 [34]3 years ago

3 0

(x + 2)² - 10 = 0 (assuming it's equal to zero)

Expand the binomial: (x + y)² = x² + 2xy + y²
Thus, x² + 4x + 4 - 10 = 0
x² + 4x - 6 = 0

$x = \frac{-4 +_- \sqrt{16 + 24}}{2}$ (by quadratic formula)
$= \frac{-4 +_- \sqrt{40}}{2}$
$= \frac{-4 +_- 2\sqrt{10}}{2}$
$= -2 + \sqrt{10}$ , since we're taking the positive solution.

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What's the conversion factor used to convert inches to yards? A. 36 inches in 1 yard B. 3 inches in 1 yard C. 12 inches in 1 yar

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A. 36 inches is a yard because there are 12 inches in a foot and 3 feet in a yard, so 12 times 3 is 36.

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3 years ago

Imagine that James has been bowling for over 10 years and never gets any better or any worse. The probability that he will bowl

vichka [17]

Answer:

5.01%

Step-by-step explanation:

In order to calculate a sequence of events you need to multiply the probability of each event happening with one another in decimal form. In this scenario, the probability of James bowling a strike is 55% meaning that the probability of James NOT bowling a strike is 45%. We want to know the probability of James NOT bowling a strike for 3 attempts and then bowling a strike on his fourth attempt. We first turn these probabilities into decimal form by dividing them by 100. And then multiply...

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2 years ago

Fred is running on the school track. He can run 10 3 4 laps in 4 5 of an hour. How many laps can Fred run in one hour?

Triss [41]

Answer:

$13\frac{7}{16}$ laps can Fred run in one hour.

Step-by-step explanation:

Given Statement: Fred is running on the school track. He can run $10\frac{3}{4}$ laps in $\frac{4}{5}$ of an hour.

Unit rate are expressed as a quantity of 1, such as 3 feet per second or 7 miles per hour, they are called unit rates

From the given condition we have;

In $\frac{4}{5}$ he can run $\frac{43}{4}$ laps

Unit rate per hour = $\frac{\frac{43}{4} }{\frac{4}{5} }$

= $\frac{43}{4} \times \frac{5}{4} = \frac{215}{16}$ laps

Therefore, Fred can run in one hour is, $13\frac{7}{16}$ laps.

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3 years ago

How to turn 8/20 into a percent

Katarina [22]

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3 years ago

Read 2 more answers

Find c in the pic below

Fiesta28 [93]

Answer:

Step-by-step explanation:

To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).

Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).

So that angle is 122.

The inside triangle angle (what we want) is adjacent to 122, so we can write:

Angle + 122 = 180 [straight angle/straight line is 180 degrees]

Solving for that angle, we have:

Angle = 180 - 122 = 58

Now, looking at the triangle, Side C is "opposite" of 58° and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).

Which trig ratio relates "opposite" and "hypotenuse"??

Yes, it is SIN. Thus we can write:

$Sin(58)=\frac{Opposite}{Hypotenuse}=\frac{C}{20}$

We can now solve for C:

$Sin(58)=\frac{C}{20}\\C=20*Sin(58)\\C=16.96$

Correct answer is A

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3 years ago