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3 years ago

In the triangle above, which angle is smallest in measure?

Mathematics

2 answers:

Setler79 [48]3 years ago

8 0

Angle A because the opposite side is the smallest, the smallest side being 28.49.

Artemon [7]3 years ago

6 0

Angle A has the smallest angle measure because it has the smallest side length.

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A 500 g model train car traveling at 0.8 m/s collides with a 300 g stationary car. The cars hook up and move off down the track

sdas [7]

Answer:

$0.5ms^{-1}$

Step-by-step explanation:

Let v be the speed after the collision of both the cars.

Now, momentum is given by: mass × velocity, then by equating the total momentum before and after the collision of the two cars, we get

$500{\times}0.8+300{\times}0=(500+300)v$

⇒ $400+0=800v$

⇒ $400=800v$

⇒ $v=0.5ms^{-1}$

Thus, they are moving at the velocity of $0.5ms^{-1}$

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3 years ago

Read 2 more answers

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zloy xaker [14]

$3 \frac{8}{11}$

$4 \frac{31}{42}$

$7 \frac{11}{24}$

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$2 \frac{79}{90}$

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3 years ago

In a 10 mile race, janet covere the first 2 mile sat a constant rate. She then sped up and rode her bike the last 8 miles at a r

faltersainse [42]

Answer:

0.83 miles per minute

Step-by-step explanation:

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3 years ago

3 times a number minus 2 is 7.

saul85 [17]

Answer:

3n - 2 = 7

Step-by-step explanation:

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2 years ago

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A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough cus

rusak2 [61]

Answer:

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Step-by-step explanation:

The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

50 major customers, 15 would accept the plan.

This means that $N = 50, k = 15$

The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.

This means that $n = 10$

a. What is the probability that exactly two of the selected major customers accept the plan

This is P(X = 2).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406$

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

4 0

3 years ago