Answer:
13 square units
Step-by-step explanation:
You <em>could</em> calculate the length of each side using Pythagorean theorem, then use Heron's formula to find the area. But there's an easier way: find the area of the rectangle that contains the triangle, and subtract the areas of the smaller triangles in the corners.
The area of the rectangle is 4 × 7 = 28.
The area of the upper left triangle is ½(2)(4) = 4.
The area of the upper right triangle is ½(3)(5) = 7.5.
The area of the lower right triangle is ½(1)(7) = 3.5.
So the area of the triangle is:
28 − 4 − 7.5 − 3.5 = 13
Let x be the brick portion of the wall
Since x is 2/3 of the wall
Then x= (2/3)(2 3/4)
x= 11/6 = 1 5/6
So the brick portion of the wall is 1 5/6 feet
Note: that's not 15/6, it's a mixed fraction which is 1 + 5/6.. just to let you know
Answer:
https://www.pittsfordschools.org/cms/lib/NY02205365/Centricity/Domain/683/ANSWER%20KEY%20TO%20ALL%20HOMEWORK.pdf
Step-by-step explanation:
If this doesn’t work I’m sorry but that’s the link!
Answer: 3n ×9
Step-by-step explanation:
The product of 3 times a N number equals 3n or 3 ×N but you should write 3n then times it by 9
Answer:
BD = 12 :)
Step-by-step explanation:
Alright, we'll need the Pythagorean theorem for this!
So, the length of AC is 10. That means the lengths of AD and DC are both half of that, which is 5 :)
DC = 5
We already know that BC = 13, so we can plug in these values into the pythagorean theorem for the right triangle BDC:
BD^2 + DC^2 = BC^2
BD^2 + 5^2 = 13^2
BD^2 + 25 = 169
BD^2 = 169 - 25 = 144
BD = √144 = 12 :)