Answer:
The game’s expected value of points earned for a turn is 71.
Step-by-step explanation:
pts frequency
50 55
75 32
150 13
Since none of the options make sense with 23, I assume it was a typo, and you meant 2/3.
Let l,w and h be the length, width and height of the original prism, and l',w' and h' be the length, width and height of the new prism. We are given
Also, if we call V the original volume, and V' the volume of the new prism, we have
Substitute the expressions for l', h' and w' in the formula for V':
Answer:
$134.18
Step-by-step explanation:
6.5% = 0.065
$125.99 × 0.065 = $8.19
$125.99 + $8.19 = $134.18
To answer, first, convert the given velocity in km/h to m/s as shown below,
(144 km / hr) x (1000 m / 1 km) x (1 hr / 3600 s) = 40 m/s
The acceleration (a) is solved by through the equation,
a = (Vf - Vi) / Δt
where Vf and Vi are final and initial velocities, respectively and Δt is change in time. Substituting the known values,
a = (0 - 40 m/s) / 12 s = -3.3 m/s²
Thus, the answer to this item is letter B.
9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.
