1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kenny6666 [7]
2 years ago
6

50 PTS!!A right triangle has a leg measuring 16in. And 28in.

Mathematics
2 answers:
Leokris [45]2 years ago
7 0

Answer:

2)  32.2 in (nearest tenth)

Step-by-step explanation:

<u>Pythagoras’ Theorem</u>

\sf a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

  • a = 16 in
  • b = 28 in
  • c = hypotenuse

Substituting these values into the formula and solving for c:

\implies \sf 16^2+28^2=c^2

\implies \sf 256+784=c^2

\implies \sf c^2=1040

\implies \sf c=\pm\sqrt{1040}

\implies \sf c=\pm 32.2\:in\:(nearest\:tenth)

As distance is positive, c = 32.2 in (nearest tenth)

andreev551 [17]2 years ago
7 0
  • 32.2 inches. (Option 2)

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\  \\

Here,

  • The base (BC) is 16 in

  • The perpendicular (AB) is 28 in

  • The hypotenuse is AC.

\:

So, substituting the values in the formula we get :

\\ {\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}= (16) {}^{2} + (28 {)}^{2} }}} \\ \\

{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=256 + 784 }}} \\ \\

{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=1040 }}} \\ \\

{\longrightarrow \pmb{\sf {\qquad AC = \sqrt{1040}  }}} \\ \\

{\longrightarrow \pmb{\frak {\qquad AC = 32.24  }}} \\ \\

Therefore,

  • The length of the hypotenuse (AC) is 32.2 in (Rounded to nearest tenth)

You might be interested in
Which expression is equivalent to 12(3x + 2y)?
natima [27]
I got D because if you simply add you get D
8 0
3 years ago
Birds arrive at a birdfeeder according to a Poisson process at a rate of six per hour.
m_a_m_a [10]

Answer:

a) time=10 \frac{1}{6}=\frac{10}{6}=1.67 hours

b) P(T\geq 0.25h)=e^{-(6)0.25}=0.22313

c) P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}

And the parameter \lambda represent the average ocurrence rate per unit of time.

The exponential distribution is useful when we want to describ the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time btween two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:

P(T>t)= e^{-\lambda t}

a. What is the expected time you would have to wait to see ten birds arrive?

The original rate for the Poisson process is given by the problem "rate of six per hour" and on this case since we want the expected waiting time for 10 birds we have this:

time=10 \frac{1}{6}=\frac{10}{6}=1.67 hours

b. What is the probability that the elapsed time between the second and third birds exceeds fifteen minutes?

Assuming that the time between the arrival of two birds consecutive follows th exponential distribution and we need that this time exceeds fifteen minutes. If we convert the 15 minutes to hours we have 15(1/60)=0.25 hours. And we want to find this probability:

P(T\geq 0.25h)

And we can use the result obtained from the definitions and we have this:

P(T\geq 0.25h)=e^{-(6)0.25}=0.22313

c. If you have already waited five minutes for the first bird to arrive, what is the probability that the bird will arrive within the next five minutes?

First we need to convert the 5 minutes to hours and we got 5(1/60)=0.0833h. And on this case we want a conditional probability. And for this case is good to remember the "Markovian property of the Exponential distribution", given by :

P(T \leq a +t |T>t)=P(T\leq a)

Since we have a waiting time for the first bird of 5 min = 0.0833h and we want that the next bird will arrive within 5 minutes=0.0833h, we can express on this way the probability of interest:

P(T\leq 0.0833+0.0833| T>0.0833)

P(T\leq 0.1667| T>0.0833)

And using the Markovian property we have this:

P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347

3 0
3 years ago
10 subtract 5 equals what
solong [7]
Five (5) because you have 10 fingers 5 fingers get cut off how many do you have left.
3 0
3 years ago
Read 2 more answers
Here is a list of ages (years) of children in a room: 5, 8, 5, 6, 8, 3, 6 State the median.
Ierofanga [76]

Answer:

6

Step-by-step explanation:

The median of a list of numbers is the number found in the "middle" of all the numbers. What this means is that it has the same amount of numbers larger and smaller than it in the list. To find the median, we first have to organize the list from least to greatest. Doing this, we get 3, 5, 5, 6, 6, 8, 8.

Now that we have the list, we can find the "middle number" by taking off numbers the highest number then the lowest number. Doing this we get

3, 5, 5, 6, 6, 8, 8

5, 5, 6, 6, 8

5, 6, 6

6

This means our median is 6.

7 0
3 years ago
Read 2 more answers
The volume of a cylinder is 225 pi centimeters to the third and its height is 9 cm what is the length of the cylinders radius
Thepotemich [5.8K]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 98% of most avera
    11·1 answer
  • Mario has a remaining balance of $1,300 on his credit card. His credit card has an APR of 20 percent. How much will he pay in in
    15·1 answer
  • Pls help good points
    9·1 answer
  • A glass vase is shaped like a cylinder and has a radius of 2.5 inches. The vase holds 170 cubic inches of water. How tall is the
    11·2 answers
  • . A right triangle has one leg with a length of two. Give an example of possible lengths for the other leg and the hypotenuse.
    8·1 answer
  • What is the answer??? Only if you know please i will report you no games only if you know it please it’s geometry
    14·1 answer
  • F(x)=4x+11 If f(x) = -1 what is the value of x
    9·2 answers
  • Four different points away from 5,4?
    10·2 answers
  • What do you think about data set if standard deviation to be zero?
    12·1 answer
  • What is the simple interest if I=1000 birr,T=5 years and p=4000 birr​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!