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3 years ago

What is the length of ef in the right triangle below?

Mathematics

2 answers:

monitta3 years ago

8 0

Answer:

Step-by-step explanation:

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2. While if a, b, and c are the sides of the triangle, then c2 = a2 + b2.

√(25²-7²) =

√(625-49)=

√576=

katrin2010 [14]3 years ago

3 0

Answer: A

Step-by-step explanation:

Using pythagoras;

$25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24$

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The area of a room is 26.025 m sqaure. If its length is 12.5m . find the breadth of the room

ddd [48]

Answer:

2.082.

Step-by-step explanation:

Solution,

Given,

Area ( A ) = 26.025 m².

Length ( L ) = 12.5 m.

Now,

Breadth ( B ) = Area ÷ Length.

= 26.025 ÷ 12.5

= 2.082.

Thus, The breadth of the room is 2.082 m.

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3 years ago

Find the geometric mean between 20 and 5

Sholpan [36]

Answer is a
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2 years ago

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Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is a

Svetradugi [14.3K]

Answer:

0.9009

Step-by-step explanation:

Let X be the event that Current will flow

Let Y be the event that the first relay which is 1 is closed

Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.

Thus, we can say that;

P(X ∩ Y) = P(Y)

Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;

P(Y | X) = (P(Y ∩ X))/P(X)

From earlier, we saw that P(X ∩ Y) = P(Y). Thus;

P(Y | X) = P(Y)/P(X)

From the question, P(Y) = 0.9

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P(Y | X) = 0.9/0.999

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3 years ago

Assume that the number of messages input to a communication channel in an Exponential distribution with 7 messages arriving in a

NARA [144]

The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

According to the statement

we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

And the given information is that :

3 messages will arrive during a 30-second interval.

Then

Probability = P(X=1) + P(X=2) + P(X=3).Then

The probability become according to the exponential distribution:

$P(X=1)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\\P(X=2)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\\P(X=3)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

And then substitute the values in it then

$Probability = \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\ +\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\ + \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

This is the probability.

So, The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

Learn more about probability here

brainly.com/question/24756209

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2 years ago

The outside of a picture frame measures 14 in and 20 in 196in^2 of the picture shows find the thickness of the frame

LuckyWell [14K]

The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²

We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²

This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x

The area,
88 = (20 - 2x)(14 - 2x)

Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²

Divide the equation by 4,
22 = 70 - 17x + x²

Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.

Thus, the thickenss is equal to 58.2 in

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4 years ago