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Paul [167]
3 years ago
11

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 20 and DC = 5, what is the length of BC? (Note: the fi

gure is not drawn to scale.) ​
Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

21.2 or 15 sqrt of 2 (PETHAGOREOM theorem)

Step-by-step explanation:

a^2+b^2=c^2

20^2+5^2=C^2

400+25=C^2

450=C^2

sqrt 450=

15 sqrt of 2 or 21.2

You might be interested in
It takes Jack Frost 5 minutes to fly 35 minutes with the wind. It takes him 7 minutes to go 35 minutes against the wind. Determi
dezoksy [38]

Answer:his speed in still air is 6 miles per minute.

the speed of the wind is 1 mile per minute.

Step-by-step explanation:

Let x represent his speed in still air.

Let y represent the speed of the wind.

It takes Jack Frost 5 minutes to fly 35 miles with the wind. This means that his total speed would be x + y

Distance = speed × time

It means that

35 = 5(x + y)

35 = 5x + 5y - - - - - - - - - - -1

It takes him 7 minutes to go 35 miles against the wind. This means that his total speed would be x - y

It means that

35 = 7(x - y)

35 = 7x - 7y - - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 5, it becomes

245 = 35x + 35y

175 = 35x - 35y

Adding both equations, it becomes

420 = 70x

x = 420/70 = 6

Substituting x = 6 into equation 1, it becomes

35 = 5 × 6 + 5y

35 = 30 + 5y

5y = 35 - 30 = 5

y = 5/5 = 1

5 0
3 years ago
Determine the discriminant for the given equation x^2+4x+5=0. Then describe the roots(how many and what type).
Fed [463]

Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c

Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4

-4 < 0, therefor there are no roots

(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
3 0
3 years ago
max said that 36594 is less than 5980 because 3 is less then 5 describe max's error and give the correct answer
Verizon [17]
He was wrong because, although three is greater than five, the value of the three is in the ten thousands place, while the five is in the thousands place. Therefore, the correct answer would be that 36594 is greater than 5980.
4 0
3 years ago
The hypotenuse is the side across from the right angle, and it's also the longest side of the triangle.
nalin [4]
Yes You are correct. 
5 0
3 years ago
Read 2 more answers
1/3 of a number T is less than or equal to five
ZanzabumX [31]

Answer: x ≤ 15

Step-by-step explanation: All we need to do is divide both sides by 1/3, so1/3x / 1/3 and 5/ 1/3 = 15. So x  ≤ 15.

Hope this helps!

8 0
3 years ago
Read 2 more answers
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