Answer:
$26.21
Step-by-step explanation:
add the shoes and shirt together and get $19.59 then subtract that to the $25.65
then you will get the remaining amount of money of $5.86.
then do this 20.35-5.86=$26.21
Answer:

Step-by-step explanation:
We are given that
Initial velocity=30 ft/s
Initial position=
We have to write a mathematical model for height of the softball by using the position equation
The position equation on Earth's surface is given by

Where
Initial velocity
=Initial position
Substitute the values in the equation then, we get

Hence, the mathematical model for height of the softball is given by

Answer:
D. 89°
Step-by-step explanation:
On the line segment "C," 89 degrees is shown in one corner. x is directly across from it, therefore being the same degrees
<u><em></em></u>
Answer:

Step-by-step explanation:
<u><em>STEP:-1</em></u>
Given that events A and B are independent then
P(A ∩B ) = P(A) P(B)
Given that P(A) = 2/5 and P(B) = 1/5
<u><em>STEP:- 2</em></u>
P(A ∩B ) = P(A) P(B)


<u><em>Step(iii):-</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em></em></u>
<u><em></em></u>
<u><em></em></u>
<u><em></em></u>
<u><em></em></u>
<u><em></em></u>
<u><em /></u>
<u><em /></u>
Answer:
a) cos(α+β) ≈ 0.8784
b) sin(β -α) ≈ -0.2724
Step-by-step explanation:
There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.
Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.
For the first problem, we'll do it the first way:
sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524
cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820
__
a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
= 0.926×0.993820 -0.377524×0.111
cos(α+β) ≈ 0.8784
__
b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724