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3 years ago

One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm. Find the measure of the other leg.

Mathematics

1 answer:

scoundrel [369]3 years ago

7 0

Answer:

the other leg = 2 root 14, which is roughly 7.48331 cm

Step-by-step explanation:

9squared = 5squared + x

81-25=xsquared

squareroot 56 = 2 root 14

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solong [7]

Answer:

38 students are not in the art club while 12 student are in the art club.

Step-by-step explanation:

Percent I am not exactly sure, I'm sorry, still I hope this somehow helped!

3 0

3 years ago

A bag contains three red marbles, five green ones, one lavender one, two yellows, and six orange marbles. HINT (See Example 7.)

Sedaia [141]

Answer: 180

Step-by-step explanation:

Given : A bag contains three red marbles, five green ones, one lavender one, two yellows, and six orange marbles.

The number of ways to choose one thing out of n is given by:-

$^nC_1=\dfrac{n!}{1!(n-1)!}=n$

Number of ways to choose one red marble out of 3= $^3C_1=3$

Number of ways to choose one green marble out of 5= $^5C_1=5$

Number of ways to choose one yellow marble out of 2= $^2C_1=2$

Number of ways to choose one orange marble out of 6= $^6C_1=1$

By using the Fundamental counting principle , we have

The number of sets of four marbles include one of each color other than lavender will be :-

$3\times5\times2\times6=180$

Hence, the number of sets of four marbles include one of each color other than lavender =180

4 0

3 years ago

A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95. When

Katen [24]

Answer:

the probability that a real emergency situation exists is 0.16 (16%)

Step-by-step explanation:

defining the event A= the alarm sounds ,we have

P(A)= probability that an emergency situation exists * probability that the alarm sounds given that an emergency situation exists + probability that a emergency situation does not exist * probability that the alarm sounds given that an emergency situation does not exist = 0.004* 0.95+ 0.996 * 0.02 = 0.02372

then if we use the theorem of Bayes for conditional probability and define the event E= a emergency situation exists , then

P(E/A)= P(E∩A)/P(A)= 0.004* 0.95/0.02372 =0.16 (16%)

where

P(E∩A)= probability that an emergency situation exists and the alarm sounds

P(E/A) = probability that an emergency situation exists given that the alarm has sounded

7 0

3 years ago

Find the ratio of x to y

katrin [286]

Answer:

4/6

Step-by-step explanation:

I have showed the steps in the attached photo.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=5x%20%3D%20%20-%2025" id="TexFormula1" title="5x = - 25" alt="5x = - 25" align="absmiddle" c

-BARSIC- [3]

Answer:

- 5

Step-by-step explanation:

Step 1:

5x = - 25

Step 2:

x = - 25 ÷ 5

Answer:

x = - 5

Hope This Helps :)

6 0

3 years ago