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aleksley [76]
3 years ago
7

Find the value of y. A. 16 B. \sqrt{55} C. 8\sqrt{3} D. 6

Mathematics
2 answers:
Naya [18.7K]3 years ago
5 0
<h2>Answer:</h2>

Option: B is the correct answer.

The value of y is:

                      y=\sqrt{55}

<h2>Step-by-step explanation:</h2>

We know that when a altitude is drawn from the vertex of a right angled triangle to the hypotenuse of the triangle then the length of the altitude is the geometric mean of the length of two segments of the hypotenuse.

Here by looking at the figure we have:

The altitude is denoted by y.

and the two segments of the hypotenuse have length 5 and 11.

Hence, we have:

y=\sqrt{5\times 11}\\\\i.e.\\\\y=\sqrt{55}

tatyana61 [14]3 years ago
4 0
The answer is B hope this would help you

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There are 12 books on a shelf 5 of these books are new the rest are used what is the ratio of new books to used books
tiny-mole [99]

Answer:

5:7

Step-by-step explanation:

Basically you first find the amount of the books are the shelf knowing that you have 5 new books, you subtract the amount of new books from total books. And 5:7 can't be simplified any further making 5:7 the answer.

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3 years ago
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The height of a trapezoid is 15m and the midsegment is 32m. What is the area of the trapezoid?
viktelen [127]
The formula is: A=1/2 h (base one + base two) 

<span>Plug in your numbers and you will get the area.</span>
6 0
3 years ago
Given lines p and q are parallel, m&lt;2 - (14x - 12), m&lt;6 - (5y + 23), and m&lt;8 - (8x + 27), solve for the values of x and
nexus9112 [7]

Answer:

x = 7.5

y = 14

m<1 = 87°

m<7 = 93°

Step-by-step explanation:

Given:

m<2 = (14x - 12),

m<6 = (5y + 23),

m<8 = (8x + 27)

m<2 + m<8 = 180° (consecutive exterior angles are supplementary)

(14x - 12) + (8x + 27) = 180 (substitution)

Solve for x

14x - 12 + 8x + 27 = 180

Collect like terms

22x + 15 = 180

Subtract 15 from each side

22x = 180 - 15

22x = 165

Divide both sides by 22

x = 7.5

m<2 = m<6 (corresponding angles are congruent)

(14x - 12) = (5y + 23) (substitution)

Plug in the value of x

14(7.5) - 12 = 5y + 23

105 - 12 = 5y + 23

93 = 5y + 23

Subtract 23 from each side

93 - 23 = 5y

70 = 5y

Divide both sides by 5

14 = y

y = 14

✅m<1 = m<8 (alternate exterior angles are congruent)

m<1 = (8x + 27) (substitution)

Plug in the value of x

m<1 = 8(7.5) + 27 = 87°

m<7 = m<2 (alternate exterior angles are congruent)

m<7 = (14x - 12) (substitution)

Plug in the value of x

m<7 = 14(7.5) - 12 = 93°

8 0
3 years ago
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through
ExtremeBDS [4]

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

6 0
3 years ago
First answer gets brainliest. And one hundo points
enyata [817]

Answer:The one you already have marked,B.

Step-by-step explanation:

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2 years ago
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