Answer:
32m2
Step-by-step explanation:
find one triangle.
A=1/2×base×height
1/2×8×3= 12m2
1/2×8×5= 20m,2
12+20=32m2
Answer:
30,000 shaving sets must be sold.
Step-by-step explanation:
With each shaving set the company makes a profit of $2. Added together the company needs to make $60,000, to cover the initial investment and profit. By dividing the amount of money that needs to be made (60,000) by the amount of profit that each set earns (2), we get the amount of 30,000 products that need to be sold.
Answer:
24
Step-by-step explanation:
Answer:
5 to the power of 3 is 125, so since the denominator is 3 you need a numerator that will simplify to 3.
9 divided by 3 equals 3, so your numerator will be 9.
Hope it helps!
Step-by-step explanation:
Answer:
a) a = 3.53 m/sec²
b ) As force in the sense of movement is bigger than Fr (that is m*g*sin21 > Fr ) the car will slide down.
c) β = 11⁰
Step-by-step explanation: We must start calculating the angle of the road.
37% means that inclination is such that for 100 m of horizontal distance we will be up the path a 37 m, then tan α = 0.37 and α = 21⁰
a) According to Newtons second law
∑ Fx = ma ⇒ if only gravity is acting
m*g* sinα = ma ⇒ 1000 Kg*9.8 m/sec² *sin 21° = 1000 Kg*a
9.8 * 0,36 = a ⇒ a = 3.53 m/sec²
b) Fr = μ*Fn
∑ Fy = 0
m*g*cos21° - Fn = 0 Fn = 1000*9.8*cos21° Fn = 9143.4 [N]
Then Fr = 9143.4 * 0,3 ⇒ Fr = 2743.02 [N]
And
m*g*sinα = m*g*sin21⁰ = 1000* 9.8* 0.36 = 3528 [N]
As force in the sense of movement is bigger than Fr (that is m*g*sin21 > Fr ) the car will road down.
c) If μk = 0.2
m*g*sinβ = 9800* sinβ - 9143.4*0.2 = 0
sinβ = 1828.68/9800 ⇒ sinβ = 0.1866 ⇒ β = 11⁰