Answer:
Andre scored 14 points.
Equation: x = 14
Step-by-step explanation:
Let the number of points Andre scored be x.
Diego's points = x-9
Noah's points = (x-9) × 2
= 2x-18
Now, you know the exact value of Noah's points which is 10.
2x-18 = 10
Isolate the 2x.
2x = 10+18
= 28
x = 28÷2
= 14
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = 
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
Answer:
the coefficients of static friction is 0.577
the coefficients of fkinetic friction is 0.54
Step-by-step explanation:
given information
θ = 30°
S = 2.5 m
t = 4 s
- Static friction
F - F(friction) = 0
W sin θ = μs W cos θ
μs = sin θ/ cosθ
= tan θ
= tan 30°
= 0.577
- kinetic friction
S =
+ 
= 0
S = 
a =
= 
= 0.3 
F - F(friction) = m a
W sin θ - μ W cos θ = m a
mg sin θ - μk mg cos θ = m a
g sin θ - μk g cos θ = a
μk = g sin θ - a / g cos θ
= 9.8 sin 30° - 0.3 / 9.8 cos 30°
= 0.54