Answer:
0.7246 radians
Step-by-step explanation:
According to the Question,
Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches
- The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
d = √{ (12)² +(15)² } = √(144+225) = √369inches
- The tangent of the angle is the ratio of the height of the box to this length
Tan∅ = 17/√369
Taking the
, we have
∅ =
(17/√369) ≈ 0.7246 radians
Answer:
-50
Well to get the answer of the product of a number and 9 is -450. You must divide 9 by -450 using long divison.
Answer:
No.
Step-by-step explanation:
Change it so that both fractions would have the same denominator. Note that what you do to the denominator, you must also do to the numerator.
Multiply 3 to both the numerator & denominator of 8/20
(8/20)(3/3) = 24/60
24/60 ≠ 25/60 ∴ these 2 fractions are not proportional.
~
General Idea:
If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .
Applying the concept:
The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as
.
Comparing the function f(x)=ax^{2} +bx+c with the given function
, we get
,
and
.
The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds
The maximum height is found by substituting
in the function as below:

Conclusion:
<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.