Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
Answer:
=
−
1
4
4
Step-by-step explanation:
PLEASE MARK BRAINIEST!!!
Determine the surface area of the rectangular prism below.
Length = 10cm
Width = 5cm
Height = 2cm
a) 80 cm²
b) 100 cm²
c) 160 cm²
d) 17 cm²
Answer:
c) 160 cm²
Step-by-step explanation:
The formula for the Surface Area of a rectangular prism =
A=2(wl + hl + hw)
Length = 10cm
Width = 5cm
Height = 2cm
Hence:
Area =2× (5 × 10 + 2 × 10 + 2 × 5) cm²
= 2 × ( 50 + 20 + 10) cm²
= 2 × (80) cm²
= 160 cm²
3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)
From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . . (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)
(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5
From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3
x = 3, y = 0.5, z = -3.5
Answer:
The length would be 31.5ft and the width would be 26.5ft
Step-by-step explanation:
For the purpose of this, we'll set the width as x. We can then define the length as x + 5 since we know it is 5 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.
P = 2l + 2w
116 = 2(x + 5) + 2(x)
116 = 2x + 10 + 2x
116 = 4x + 10
106 = 4x
26.5 = x
Now since we know that the width is 26.5ft, we can add 5ft to it to get the length, which would be 31.5ft.
