Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
Answer:
Option A) The function is even because it is symmetric with respect to the y-axis.
Step-by-step explanation:
We are given a graph of the function.
We can see that the given function is symmetric around the y axis as the y axis acts as a mirror.
Symmetry around y-axis
- The y-axis acts as the line of symmetry for the given graph.
- A graph is said to be symmetric about the y axis if (a,b) is on the graph, then we can find the point (-a,b) on the graph as well.
Even Function:
- A function is said to be even if
- A function f is even if the graph of f is symmetric with respect to the y-axis
Odd function:
- A function is said to be odd if
- A function f is even if the graph of f is symmetric with respect to the x-axis.
Thus, we can write that the given function is an even function as the the graph is symmetric to the y-axis.
Option A) The function is even because it is symmetric with respect to the y-axis.
I've been waiting for someone to ask this question. It's one of my favorite questions to answer.
percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200
if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1
thus
percent is out of 100 so 1%=1/100 25%=25/100
if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
so 45/x times reciprocal of 100/25 then you will get 1/1 or 4500/25x
so you divide to find x and get 180
so 45 is 25% of 180
The following is extra
as stated above 'of' can be taken as multiply so
45 is 25% of 180 can be rewriten as
45=25/100 times 180
but we don't know that 180 is the answer so we replace it with x then solve for x
Answer:
Hi! The answer to your question is 100
Step-by-step explanation:
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Answer:
<u>18 in²</u>
Step-by-step explanation:
<u>Given :-</u>
height (h) = 12 in.
base (b) = 3 in.
<u>To Find :-</u>
Area
<u>Formulas Required :-</u>
Area (triangle) = 1/2bh
<u>Solving :-</u>
= 1/2 x 3 x 12
= 6 x 3
<u>Solution :-</u>
<u>18 in²</u>
