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djverab [1.8K]
3 years ago
6

Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

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4 years ago
The area of a rectangular wall of a barn is 16 square feet. Its length is 4 feet longer than twice its width. Find the length an
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Answer:

width = 2 ft

length = 8 ft

Step-by-step explanation:

area = L x W

area = 16 ft^2

width = x

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3 years ago
If 2 marbles are drawn from the jar, one at a time, without replacing the first, what is the probability that the first one is r
Hitman42 [59]
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4 years ago
Calculating conditional probability
laila [671]

Complete Question

Calculating conditional probability

The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom.

Here are the results:

Bride :29

Groom :30

BOTH : 20

Given that a randomly selected guest is a friend of the groom, find the probability they are a friend of the bride.

P (bride | groom)​

Answer:

The probability is P(B|G) = \frac{2}{3}

Step-by-step explanation:

The sample size is n =  80

The friend of the groom are G = 30

 The friend of the groom are B  = 29

 The friend of both bride and groom are Z = 20

The probability that a guest is a friend of the bride is mathematically represented as

      P(B) =  \frac{29}{80}

The probability that a guest is a friend of the groom is mathematically represented as

       P(G) =  \frac{30}{80}

The probability that a guest is both a friend of the bride and a friend of the groom is mathematically represented as

       P(B \ n  \ G) = \frac{20}{80}

Now

    P(B|G) is mathematically represented as

     P(B|G) = \frac{P(B \ n \ G)}{P(G)}

     Substituting values

       P(B|G) = \frac{\frac{20}{80} }{\frac{30}{80} }

      P(B|G) = \frac{2}{3}

     

6 0
3 years ago
What is 14 x 8? put the answer below
Maru [420]

Answer:

112

Step-by-step explanation:

6 0
3 years ago
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