Answer: 17302
Explanation: This problem requires PEMDAS.
Step 1: Parentheses
(4+3^3) = (4+27) = 31
Step 2: Exponents
31^2 = 961
Step 3: Multiplication
3x6= 18
18x961=17298
Step 4: Addition
17298 + 4 = 17302
Answer: 3,140 radians per minute.
Step-by-step explanation:
We know that the wheel does 500 revolutions per minute.
This is called the frequency of the wheel, and this is written as:
f = 500 rev/min = 500 RPM
The angular speed (or Angular velocity) is written as
ω = 2*pi*f
And this quantity is in radians/unit of time.
where pi = 3.14
then:
ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min
This means that the angular velocity (or angular speed) is 3,140 radians per minute.
x. 5.75.
_____ _____
33.75. 100
100x = 177.18
÷100. ÷100
x = 1.77
33.75
+1. 75
=
35.50
Answer:
See below ~
Step-by-step explanation:
<u>Question 3 : (x, y - 5)</u>
- K' = (-3, 2 - 5) = <u>(-3, -3)</u>
- L' = (1, 4 - 5) = <u>(1, -1)</u>
- M' = (-1, 0 - 5) = <u>(-1, -5)</u>
- N' = (-5, -2 - 5) = <u>(-5, -7)</u>
<u></u>
<u>Question 4 : (x + 4, y + 1)</u>
- D' = (-4 + 4, 3 + 1) = <u>(0, 4)</u>
- E' = (0 + 4, 2 + 1) = <u>(4, 3)</u>
- F' = (-2 + 4, -6 + 1) = <u>(2, -5)</u>
- G' = (-6 + 4, -5 + 1) = <u>(-2, -4)</u>
Answer:
-1/5
Step-by-step explanation:
When a line is perpendicular to another line, it's gradient will be a reciprocal.
To calculate the reciprocal of a number you have to flip the fraction the other way around.
So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.
The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.
