Answer:
length is 8
width is 12
Step-by-step explanation:
the equation to solve this would be
x*(x+4)=96
you isolate the variable by dividing each side by factors that doesn't contain the variable
X would then equal 8
length is 8
width is 8+4= 12
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
#SPJ1
Answer:
The height of the given rectangular prism is 5cm.
Step-by-step explanation:
Given that the volume of the rectangular prism is 
And length is
and width is 
That is V=5cm^3[/tex] ,
and 
We have the volume of the rectangular prism V=lwh cubic centimeter

Substituting the values in above formula




Rewritting as below

Therefore the height is 5cm
Answer:
The answer is option b, its absolute value in simplified form gives

Step-by-step explanation:
Which of the following radical expressions has an absolute value symbol in its simplified form?
Answer option
6√64x^6
3VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF-8x^3
5√32x^5
4VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF16x
6√64x^6
to solve this
48x^3
b. 3√-8x^3
3*2√-2x^3
6√2x^3*√-1
6√2x^3j
which is a complex notation
5√32x^5
5*4√2x^5
20√2x^5
4√16x
4*4√x
16√x
Answer:
Step-by-step explanation:
the fare : 308
airport fee : 2 * 16 = 32 (because there is 2 airports)
tax on fare : 12
total is : 308 + 32 + 12 = $352 <==