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sashaice [31]
3 years ago
5

How many solutions does the system have?

Mathematics
1 answer:
slega [8]3 years ago
8 0
This system has exactly one solution.
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After *triangle* ACE is dilated by a factor of 5, It has an area of 100 square inches. What was its area before dilation?
Anarel [89]
<h3>Answer:  4 square inches</h3>

Explanation:

Square the linear scale factor to get 5^2 = 25

This means that,

new area = 25*(old area)

We take this idea in reverse to find the old area

old area = (new area)/25

old area = (100 sq inches)/25

old area = 4 square inches

6 0
2 years ago
Find the least common multiple of 10,15,25 please no links or photo​
sergey [27]

Answer:

150

Step-by-step explanation:

The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .

6 0
2 years ago
Find the tan A and sin B exactly.
Rudik [331]

Answer:

  • B - tan A = 4/3, sin B = 3/5

Step-by-step explanation:

<u>First, lets find the length of the third side</u>

  • b = √15² - 12² = √225 - 144 = √81 = 9

<u>Now, lets get Tan A and Sin B</u>

  • Tan A = 12/9 = 4/3
  • Sin B = 9/15= 3/5

Correct option is B

5 0
3 years ago
The source of the error when a computer system fails are either the disk drive, the computer memory, or the operating system. Ve
faltersainse [42]

Answer:

The probability of an operating system error given that a failure has ocurred is P(O/E)= 0.19

Step-by-step explanation:

Hello!

There are three different sources of error when a computer system fails:

D: disk drive error. ⇒ P(D)= 0.50

M: computer memory error. ⇒P(M)= 0.20

O: operating systems error. ⇒ P(O)= 0.30

According to the component perdormance standard:

The probability of failure "E", given that there is a disk drive error is P(E/D)= 0.40

The probability of failure "E", given that there is a computer memory error is P(E/M)= 0.6

The probability of failure "E", given that there is a operating system error is P(E/O)= 0.25

You need to calculate the probability of an operating system error given that a failure has ocurred, symbolically:

P(O/E)

P(O/E)= \frac{P(OnE)}{P(E)}

To reach the probability of the marginal E you have to add all intersections between the event "E" and the events "D", "M" and "O"

       D           M             O       Total

E:  P(E∩D); P(E∩M); P(E∩O);  P(E)

Using the formula of the conditional probability I'll clear all three intersections using the known probabilities:

General formula: P(A/B)= \frac{P(AnB)}{P(B)} ⇒ P(AnB)= P(A/B)*P(B)

P(E∩D)= P(E/D)*P(D)= 0.4*0.5= 0.2

P(E∩M)= P(E/M)*P(M)= 0.6*0.2= 0.12

P(E∩O)= P(E/O)*P(O)= 0.25*0.3= 0.075

P(E)= P(E∩D) + P(E∩M) + P(E∩O)= 0.2+0.12+0.075= 0.395

P(O/E)= \frac{P(OnE)}{P(E)} = \frac{0.075}{0.395}= 0.189 = 0.19

I hope it helps!

7 0
2 years ago
A zoo has 151515 Emperor penguins. The Emperor penguins make up 30\%30%30, percent of all the penguins at the zoo.
Fiesta28 [93]

Answer:

50 total penguins

Step-by-step explanation:

In the following example x = the total number of penguins.

Set it up as follows.

15 over x = 30 over 100

Cross multiply the numbers. (30 times x) and (15 times 100)

This results in 30x = 1500.

Divide both sides by 30 which results in x = 50.

This means that there is a total of 50 penguins.

In the following example x = the number of Emperor penguins.

If you would like to double check this, set up as follows.

x over 50 = 30 over 100

Cross multiply the numbers. (30 times 50) (100 times x)

This results in 100x = 1500.

Divide both sides by 100 which results in x =1 5.

This means that there are 15 Emperor penguins.

6 0
3 years ago
Read 2 more answers
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