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eimsori [14]
3 years ago
5

Please help!!! if anyone knows

Mathematics
2 answers:
Galina-37 [17]3 years ago
7 0

Answer: The missing side is 24 inches

Step-by-step explanation:

Since it is a right angle that  means that we can use the Pythagorean Theorem formula to solve for   the B.

The formula says that  a^2 + b^2 = c^2   Since we know  a is 18 and c is 30 we will input the value into the formula to solve for b.

18^2 + b^2 = 30^2

324 + b^2 = 900

-324               -324

  b^2 = 576

  b = \sqrt{576}  

  b  = 24

Yuliya22 [10]3 years ago
3 0

Answer:

The answer is 24in a am very sure

Step-by-step explanation:

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.
Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)

We have to find the distance of this point from y=2x+5

y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0

The formula for finding distance of a point (x,y) from a line is:

d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}

A=2

B=-1

C=5

Putting the values in the formula

d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

  • brainly.com/question/7449065
  • brainly.com/question/7490805

#LearnwithBrainly

7 0
3 years ago
2.
Mkey [24]

Answer:

14

Step-by-step explanation:

Because it occurs the most frequently in the given data set

4 0
3 years ago
Help with this most detailed answer gets Brainliest!!!
maria [59]

Answer:

D) 2/3

Step-by-step explanation:

Constant of proportionality formula:

k = y/x

8/12 = 2/3

10/15 = 2/3

12/18 = 2/3

14/21 = 2/3

6 0
3 years ago
A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.95. Assuming indep
Gre4nikov [31]

Answer:

a) There is a 99.99997% probability that at least one valve opens.

b) There is a 22.62% probability that at least one valve fails to open.

Step-by-step explanation:

For each valve, there are only two possible outcomes. Either it open, or it does not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.95, n = 5

(a) What is the probability that at least one valve opens?

Either no valves open, or at least one opens. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1)

So

P(X \geq 1) = 1 - P(X = 0)

P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} = 0.0000003

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000003 = 0.9999997

There is a 99.99997% probability that at least one valve opens.

(b) What is the probability that at least one valve fails to open?

Either all valves open, or at least one does not open. The sum of the probabilities of these events is decimal 1. So

P(X = 5) + P(X \leq 4) = 1

We want P(X \leq 4)

So

P(X \leq 4) = 1 - P(X = 5)

P(X = 5) = C_{5,5}.(0.95)^{5}.(0.05)^{0} = 0.7738

P(X \leq 4) = 1 - P(X = 5) = 1 - 0.7738 = 0.2262

There is a 22.62% probability that at least one valve fails to open.

5 0
3 years ago
How to graph slope 7/3 and y-intercept (x,y) (0,-11)
Ierofanga [76]

Start at (0,-11) and move up 7 on the y axis and over 3 on the x axis and you’ll have your line

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