Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC =
=
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base =
=
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
Answer:
13 miles
Step-by-step explanation:
The fare for the Uber
Cost= 5+ .5 m
where m is the number of miles
We spent 11.50
11.50 = 5 + .5 m
Subtract 5 from each side
11.5 -5 = 5+.5m -5
6.50 = .5 m
Divide by .5 on each side
6.5/.5 = .5m/.5
13 = m
We went 13 miles
X + y = 180
Y = wheat, x = oats
Y = x + 20. In the 1st equation, get y by itself getting y = 180 - x.
So 180 - x = x + 20. Subtract x on both sides to get 180 - 2x is 20. Subtract 180 to both sides is -2x = -160. Divide -2 to both sides is x = 80. So 80 + 20 is 100 wheat, and 80 oats of acres.
Answer:
5
Step-by-step explanation:
Hi,
find the x- and y-intercepts:
10x + 4y = 20
finding x-intercept when y = 0
10x = 20
x = 2 Pt(2,0) the x intercept
finding y-intercept when x = 0
4y = 20
y = 5 Pt(0,5) the y intercept
31 seconds it will take to get around without it stopping