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zloy xaker [14]

3 years ago

11

If the lengths of two sides of a right triangle are 5 and 12 units, what is the least possible length, in units, of the third si

de? Express your answer in simplest radical form.

2 answers:

miskamm [114]3 years ago

6 0

Answer:

13

Step-by-step explanation:

timofeeve [1]3 years ago

3 0

(leg)^2 + (leg)^2 = (hypotenuse)^2

(5)^2 + (12)^2 = (h)^2

25 + 144 = (h)^2

169 = (h)^2

sqrt{169} = sqrt{(h)^2}

-13 = h

13 = h

We reject h = -13 because length is a distance and distance cannot be negative.

So, h = 13 units is the answer.

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He LSASAP don’t understand been stressing been waiting

Serggg [28]

Answer:

f = 1.2

Step-by-step explanation:

locate x = - 6 on the x- axis, then go vertically up to meet the graph at (- 6, 1.2)

Then when x = - 6, f is 1.2

8 0

2 years ago

In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the

Rama09 [41]

Answer:

$P(x \le 3) = 0.2352$

Step-by-step explanation:

Given

$p = 0.35$ --- male committing a crime in an episode

$n = 5$ -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

$P(x) = ^nC_x * p^x * (1 - p)^{n-x$

So, the required probability is represented as:

$P(x \ge 3)$

And will be calculated using:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2$

$P(x = 3) = 10 * (0.35)^3 * (0.65)^2$

$P(x = 3) = 0.1811$

$P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}$

$P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1$

$P(x = 4) = 5 * (0.35)^4 * (0.65)$

$P(x = 4) = 0.0488$

$P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}$

$P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0$

$P(x = 5) = 1 * (0.35)^5 * (0.65)^0$

$P(x = 5) = 1 * (0.35)^5 * 1$

$P(x = 5) = 0.0053$

So:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x \le 3) = 0.1811 + 0.0488 + 0.0053$

$P(x \le 3) = 0.2352$

4 0

2 years ago

the scale on the map is 1 cm : 80 km . if two cities are 4 cm apart on the map, what is the actual distance between the cities?

jarptica [38.1K]

Hello there! Your answer would be '<em>the actual distance between the cities is 320 kilometers</em>'.

Okay, so to solve this, we can use unit rates. We know that for every one centimeter we have eighty kilometers. So, whatever we multiply the centimeter value by, we can multiply the kilometer value by the same number and get our answer.

So if the centimeter value is 4, multiply the kilometer value by 4.

80 x 4 = 320

This means that the cities are 320 kilometers apart, and you have your answer!

Hope this helps, and have a great day!

8 0

3 years ago

To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperat

iogann1982 [59]

9514 1404 393

Answer:

F(x) = (9/5)x -459.67

Step-by-step explanation:

F(C(x)) = 9/5(x -273.15) +32

F(C(x)) = (9/5)x -459.67 . . . . . simplify

5 0

2 years ago

Write the sentence as an inequality. then solve the inequality.

coldgirl [10]

Answer:

-5a<13

Step-by-step explanation:

6 0

3 years ago