Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
Answer:
C. (3x2 - 10) (x - 2)
Step-by-step explanation:
3x^2 - 16x +20
Step 1: Sum = - 16x
Product = 60x^2
Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6
Step 3: Replace -16x with the two numbers found in step 2, then you will have; 3x^2 - 6x - 10x + 20
Step 4: Factorise the equation in step 3, like so;
(3x^2 - 6x)(- 10x + 20)
3x(x - 2) -10(x - 2)
(3x - 10)(x - 2)
To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)
If the bracket is opened properly, you will get 3x^2 - 16x + 20
Answer:
14,334 actually that might not be the answer im just thinking that because the 4 is in the tenths place and ur rounding that u would make it into a whole number
Here is the problem simplified, todo this you
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real
Answer:
x = 4 ±√26
Step-by-step explanation:
Please write this as x^2 - 8x = 10, or x^2 - 8x - 10 = 0. " ^ " indicates exponentiation.
Let's complete the square:
x^2 - 8 x can be rewritten as
x^2 - 8x + 16 - 16, and so
x^2 - 8x = 10 becomes x^2 - 8x + 16 - 16 - 10 = 0, or
(x - 4)^2 = 26
Taking the square root of both sides, we get:
x - 4 = ±√26, or
x = 4 ±√26
