The length of the line segment BC is 31.2 units.
<h2>Given that</h2>
Triangle ABC is shown.
Angle ABC is a right angle.
An altitude is drawn from point B to point D on side AC to form a right angle.
The length of AD is 5 and the length of BD is 12.
<h3>We have to determine</h3>
What is the length of Line segment BC?
<h3>According to the question</h3>
The altitude of the triangle is given by;

Where x is DC and y is 5 units.
Then,
The length DC is.

Squaring on both sides

Considering right triangle BDC, use the Pythagorean theorem to find BC:

Hence, the length of the line segment BC is 31.2 units.
To know more about Pythagoras Theorem click the link given below.
brainly.com/question/26252222

Since this can't happen, let's suppose that P=150, then:

Now we have to move the 100 to the other side of the equation with a negative sign to get this:

Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:

Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:
Answer:
The inequality representing the shaded area is y < 3 - 2.5·x
Step-by-step explanation:
The given equation of the graph is 5·x + 2·y = 6
Therefore, we have;
2·y = 6 - 5·x
y = 6/2 - 5/2·x
y = 3 - 2.5·x
Given that the graph is represented by a shaded region on the left and lower side of a broken line, the inequality relationship for the graph is that of a lesser than area inequality with a symbol of < and the inequality for the graph can be represented as follows,
y < 3 - 2.5·x.
Answer:
Ok, let's calculate the number of possible outcomes:
First, let's see the events and the number of outcomes in each event:
Drawing a card --- 4 outcomes
Rolling a number cube ---- 6 outcomes.
The total number of outcomes will be equal to the product between the number of outcomes in each individual event, this is:
C = 4*6 = 24.
Now, suppose that you have a restriction like:
"What is the probability that you have an odd number in the number cube?"
Ok, let's do the same:
Drawing a card ---- 4 outcomes (the restriction does not affect this event)
Rolling a number cube ---- 3 outcomes (because there are only 3 odd numbers)
The number of combinations is:
C' = 4*3 = 12.
Then the probability will be the quotient between the number of outcomes that meet the condition and the total number of outcomes:
P = C'/C = 12/24 = 0.5
Answer:
square feet
Step-by-step explanation:
The dimensions of the photo is 4/5 by 1 7/8 of a foot.
But,
1 7/8 =
feet
So that,
length of the photo =
feet
width of the photo =
feet
The area of the photo = length x width
=
x 
= 
= 
Area of the painted photo is
square feet.