Answer:
(1), (4), (5), (7) applies to graph of odd monomial function.
Step-by-step explanation:
Consider an odd monomial function with the coefficient a.
The properties that satisfy the graph of an odd monomial function are:
- When a>0, the graph has no maximum or minimum point.
- When a<0, the graph has no minimum or maximum point.
- When a<0, the graph is in Quadrant II and IV.
- If IaI increases, the graph becomes narrower.
Answer:
The number of unique rhombuses that can be constructed is one.
Step-by-step explanation:
A rhombus is a 2D shape with 4 straight sides that are all equal length. Also opposite sides are parallel and opposite angles are equal.
The addition of the 4 angles in a rhombus is equal to 360°. We know that one angle is 40°, its opposite angle is also 40°, then the addition of the other 2 angles (which are equal) is 360° - 2*40° = 280°. The other 2 congruent angles measure 140°.
If you have the length of one side (8 cm in this case), you have the length of all sides.
In conclusion, with one side and one angle a rhombus is completely defined and it's unique.
Chang 3/5 to 6/10 than add 6/10+9/10 the top numbers together and that would be 15/10. than / by 5 witch = 3/2
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
Answer:
9.71 Only way I could think of to solve it
Step-by-step explanation:
10x-72=3x-4
7x=68
x=9.71