Answer-
The rider’s displacement during this time is 17.01 m
Solution-
As we know,
![s= ut + \frac{1}{2}at^{2}](https://tex.z-dn.net/?f=s%3D%20ut%20%2B%20%5Cfrac%7B1%7D%7B2%7Dat%5E%7B2%7D)
Where s = displacement,
u= initial velocity = 0, as the rider starts from rest
a= acceleration = 0.5 m/s²
t= time taken = 8.4 s
Putting the values,
![s = (0)(8.4) + \frac{1}{2} (0.5)(8.4)^{2} = 17.64 \ m](https://tex.z-dn.net/?f=s%20%3D%20%280%29%288.4%29%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%280.5%29%288.4%29%5E%7B2%7D%20%3D%2017.64%20%5C%20m)
Answer:
A
Step-by-step explanation:
It's not a reflection because then it would be flipped and M and N would switch places
It's a translation and everything is the same length in terms of each other so
A translation with the pre and after image being congruent
Choice A
- Triangle Inequality Theorem: States that the sum of any two sides of a triangle is greater than the length of the third side;
![A+B>C\\B+C>A\\A+C>B](https://tex.z-dn.net/?f=%20A%2BB%3EC%5C%5CB%2BC%3EA%5C%5CA%2BC%3EB%20)
So for this, we are applying the triangle inequality theorem. If any of the inequalities are not true, then this cannot be a triangle. (Let A = 7.7, B = 4.0, and C = 1.7)
![7.7+4.0>1.7\\11.7>1.7\ \textsf{(true)}\\\\4.0+1.7>7.7\\5.7>7.7\ \textsf{(false)}\\\\7.7+1.7>4.0\\9.4>4.0\ \textsf{(true)}](https://tex.z-dn.net/?f=%207.7%2B4.0%3E1.7%5C%5C11.7%3E1.7%5C%20%5Ctextsf%7B%28true%29%7D%5C%5C%5C%5C4.0%2B1.7%3E7.7%5C%5C5.7%3E7.7%5C%20%5Ctextsf%7B%28false%29%7D%5C%5C%5C%5C7.7%2B1.7%3E4.0%5C%5C9.4%3E4.0%5C%20%5Ctextsf%7B%28true%29%7D%20)
<u>Since the second inequality is false, these lengths cannot form a triangle.</u>
Answer:
sqrt(73) = 8.54 feet.
Step-by-step explanation:
Remark
My guess is without the legs.
The person bringing it in will not be able to get a table in that is longer than the hypotenuse of a right triangle.
Givens
a = 8
b = 3
c = ??
Formula
a^2 + b^2 = c^2
Solution
8^2 + 3^2= c^2
64 + 9 = c^2
c^2 = 73
c = sqrt(73)
c = 8.54
The table can be no longer than 8 feet 5 inches about.
Answer:
The y-intercept in the model represents the base salary
Step-by-step explanation:
In regression analysis, the y-intercept refers to the point where a regression line crosses or cuts the y-intercept. At this point, the value of the explanatory variable X is usually 0.
In the model, the explanatory variable x is Ashley's total sales for the year. On the other hand the dependent variable is the annual salary which depends on total sales.
Substituting x with 0 in the regression model yields;
y = 0.2(0) + 25,000
y = 25,000
The y-intercept is thus 25,000 which is simply the salary earned in the absence of sales. This is simply the basic salary.