Since 2 cases = $48
÷ 48 by 2 to get the cost of one case of paper
48÷2=$24 per case
and each case has 12 pack of paper
so $24 for 12 packs of paper
180÷12=15, which gives you the number of case you need
15 cases × $24= $360 for 180 packs
Answer:
1. f(-2) = -7
2.f(7) = 11
3. f(-4) = -11
Step-by-step explanation:
1. substitute x = -2 in f(x)
The function becomes :
f(-2) = 2×(-2) - 3 = -7
2. substitute x = 7 in f(x)
the function becomes:
f(7)= 2×7 - 3 = 11
The cosine repeats itself every 360 degrees, and it mirrors at 0 and 180 degrees. It inverts around 90 and 270.
So without using a calculator, you can tell that:
cos(520)=cos(520-360)=cos(160)
cos(160) = cos(180-20) = cos(180+20) = cos(200)
cos(160) is NOT equal to cos(20), it would be -cos(20).
cos(160) = -cos(20) = -cos(-20)
So C is the only one unequal.
This problem is a projectile problem. The initial velocity is 50m/s at an optimum angle of 45. The maximum height or the height of the y component is at it's highest is asked.
Informtion needed:
Acceleration due to gravity = 9.81m/s^2
Formula:
Hmax = ((V^2)(sin(angle))^2)/2g
Hmax = ((50^2)(sin45)^2)/(2*9.81) = 63.71 or letter B 63.5 m is the closest answer.
Answer:
Answer:
x = √70
Step-by-step explanation:
The triangles shown are all similar, so corresponding sides are proportional.
hypotenuse/long side = x/7 = (7+3)/x
Cross-multiplying gives ...
x^2 = 7(10)
x = √70
_____
You will note that the value of x (the long side) is the geometric mean of the long segment and the whole hypotenuse.
A similar "geometric mean" relation holds for the short side:
BC = √(CD·CA)
There is yet another "geometric mean" relation that holds for the altitude:
BD = √(CD·AD)
Step-by-step explanation:
hope this helps
