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3 years ago

One side of a triangle is twice as long as a second side. The third

Mathematics

1 answer:

natta225 [31]3 years ago

6 0

Answer:

The longest possible values of the other two sides are 7 ft and 14 ft

Step-by-step explanation:

Let one side of the triangle be x and the other, 2x

Perimeter of a triangle = sum of all sides; i.e x+2x+33

Therefore, x+2x+12=33

Solve for x;

3x=33-12

3x=21

Divide both sides by 3; x=21/3

therefore, x=7 and

2x= (2*7) = 14

The longest possible values of the other two sides are 7 ft and 14 ft

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The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What

Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = heights of 18-year-old men.

So, X ~ Normal( $\mu=68,\sigma^{2} =3^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean height = 68 inches

$\sigma$ = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

P(X > 65 inches) = P( $\frac{X-\mu}{\sigma}$ > $\frac{65-68}{3}$ ) = P(Z > -1) = P(Z < 1)

= 0.8413

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

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3 years ago

Thirty six and nine thousandths is less than greater than or equal

Gnom [1K]

36 is greater than 0.009

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3 years ago

(t,-3) and (2,6); Slope = -1

tangare [24]

-1= $\frac{Δy}{Δx}$
-1= $\frac{6-(-3)}{2-t}$
t-2=9
t=11

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3 years ago

9. PART A: Which of the following best summarizes

ivanzaharov [21]

Answer:

D Stanton encourages the audience to spread the word for their cause

Step-by-step explanation:

I just know I have done the test and it makes the most sense. :)

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3 years ago

In a right triangle, angle φ has a tangent value of 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the l

charle [14.2K]

Answer:

b) 12.6 inches

Step-by-step explanation:

tangent is the ratio of the side opposite over adjacent, so if we let x= length of the opposite side, 1.40=x/9, x=12.6 inches

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3 years ago