Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
Answer:
[M⁰L¹T⁰]
Step-by-step explanation:
given expression,
from the expression x = A sin (2 π f t),
A and f are constants
dimension of A =?
As the sine factor is dimensionless means that sine function will not have any dimension it is dimensionless.
so, remaining
x = A sin ()
so, the dimension of x is L
hence, the dimension of A also will be equal to L i.e [M⁰L¹T⁰]
Answer:
31.85
Step-by-step explanation:
to subtract 30 percent from 45.50 just divide the percentage (30) by 100 subtract this value form 1 then multiply it by the initial value (45.50) so
final value = 45.50 x ( 1 - 
)
final value = 45.50 x ( 1 - 0.3)
final value = 45.50 x (0.7)
final value = 31.85
subtract 30% is the same as discount 30% this operation could be for example a 30% discount on 45.50
note: 0.3 can be found just by moving the decimal point 2 places to the left = 0.3 as a decimal
Andrew can buy maximum 3 meals this weekend.
From given question,
Andrew must spend less than 53$ on meals during the weekend.
He has already spent 21$ on meals costing 8$ average.
Let x, the number of meals
So, we get an inequality,
8x + 21 < 53
We need to find the number of meals he can buy this weekend.
From above inequality,
⇒ 8x + 21 < 53
⇒ 8x < 53 - 21
⇒ 8x < 32
⇒ x < 4
This means, from 1 to 3 meals.
Therefore, Andrew can buy maximum 3 meals this weekend.
Learn more about an inequality here:
brainly.com/question/19003099
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