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Maksim231197 [3]
3 years ago
14

the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length

of the altitude.

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

Answer:

B. 4\sqrt{7}

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

h = \sqrt{(xy)}

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = h = \sqrt{(14*8)}

h = \sqrt{112}

h = \sqrt{16}*\sqrt{7}

h = 4\sqrt{7}

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Yes, there is no value in the domain that corresponds to ore than one value of the range. Hope I helped


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To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.
3241004551 [841]

Answer:

At x = 15 ; price meets profit goal

At x = 25 ; price does not meet profit goal

Step-by-step explanation:

Constraint:

p < -15x2 + 600x + 60

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p ≤ -15(15²) + 600(15) + 60

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2.)

With a shirt price of $25

x = 25

p ≤ -25(25²) + 600(25) + 60

p ≤ -15625 + 15000 + 60

p ≤ - 565

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-565 < 5000 ( condition is not met)

3 0
3 years ago
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I need to know ASAP please help
ivanzaharov [21]

Answer:

Step-by-step explanation:

6 and 3/4 shorter pieces

36 in =1yd

36*3=

Well 6*3= 18 carry the 1 then u have 3*3+1=10

Then that equals 108. So u have to dived next,

16/108=

This next step u have to do long division,

Put 16 on the outside and then put 108 in the inside, then ask yourself can 16 go int 10 it can’t, than u have 108 can this go into 16 yes it can go into 6 times so ur reminder is 12

16 divided by 4 over 12 divided by 4 = 4 over 3

4 divided by 3 = 1

4 divided by 3 = 1 1/3- this can reduced so

4 divided by 3 = 1.3333333 is ur answer

4 0
3 years ago
The first three terms in a pattern are shown in the image below. How many circles would be in the 5th term?
Alex Ar [27]

Answer:

15

Step-by-step explanation:

the pattern is like this

start with 1 then add 2 equals 3

start with 3 then add 3 equals 6

so 6 add 4 equals to 10

and the 5th term will be 10 add 5

equals to 15

4 0
3 years ago
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