In the given triangle , Coordinates of A (-1,3) , B (-5,-1), C (3,-1).
Let's find the slope of AB and AC .
Formula of slope is
For AB, slope is,
And slope of AC is
Product of the slopes of AB and AC is
Since the product of the two slopes is -1, so AB and AC are perpendicular.
And if they are perpendicular, angle BAC is 90 degree, so the triangle is right triangle .
Now we check the length of the sides of the triangle, and for that we use distance formula , which is
So for AB,
For AC,
For BC,
And since two sides are equal, so the triangle is isosceles triangle .
400lbs/340ft^2
Factor out largest common factor. LCF is the product of shared primes of the numbers prime factorization.
400=2*2*2*2*5*5, 340=2*2*5*17
So the product of the shared primes is 2*2*5=20, so divide the numerator and denominator by 40.
(400/20)lbs/(340/20)ft^2
20lbs/17ft^2 or if you prefer
(20/17)lbs/ft^2
(1 3/17)lbs/ft^2 or approximately
1.18 lbs/ft^2
Answer: 1884 cm³
Step-by-step explanation:
cylinder volume = π · r² · h
- h = height = 24 cm
- r = radius = 5 cm
- π = pi ≈ 3.14
π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³
Answer:
the answer is C
Step-by-step explanation:
3 feet deep for 5 feet high
17 feet high
17×3 = 51
He has to dig a hole 51 feet deep.
Hope this helped! :)
