Answer:
The area is 0.002m² to 3 dp
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes(I.e cross sectional area of pipe ) , this time the a circle.
It requires us to look for the area of the shape
Given data
Diameter d = 5cm
Converting to mm = 5/100= 0.05m
Radius of circle r=d/2=0.05/2 =0.025mm
Given the area of the circle
A=πr²
A=3.14*0.025²
A=0.0019m²
To 3 dp we have area as 0.002m²
Answer: mx + b Hope that helps :)
Step-by-step explanation:
In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m • 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis. What is the coordinate on the y-axis where the graph of y = 2x + 3 crosses y-axis?
Answer:
The answer would be 9
Step-by-step explanation:
Step 1: Our output value is 30.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$30=100\%$.
Step 4: Similarly, $x=30\%$.
Step 5: This results in a pair of simple equations:
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
Step 7: Again, the reciprocal of both sides gives
Therefore, 30% of 30 is 9
Find the money that both the girls will equally have.
76/2 = 38
So, imagine this, take 7 dollars from girl 2 and give it back to girl 1, you would essentially to the opposite of what the question said.
So, girl 2: 38 - 7 = 31
Girl 1: 38 + 7 = 45
To test if we got it right, add 31 and 46, and we get 76!
Answer: Joe hit the target 4 times.
Explanation: We can write this scenario as a system of equations.
Let’s express the number of times he hits the target with x.
Let’s express the number of times he misses the target with y.
“He earned 20 points each time he hit the target but lost 50 points when he miss. Joe ended the night with negative 470 points...”
20x - 50y = -470
“...after 15 shots.”
x + y = 15
Let’s write the whole system of equations.
20x - 50y = -470
x + y = 15
Let’s solve the second equation for y.
x + y = 15
Subtract x from both sides.
y = 15 - x
Let’s substitute y in the first equation with 15 - x.
20x - 50(15 - x) = -470
Distribute -50 among 15 and -x in the term -50(15 - x).
20x - 750 + 50x = -470
Combine like terms on the left side.
70x - 750 = -470
Add 750 on both sides.
70x = 280
Divide both sides by 70.
x = 4
Since we know that x = 4, we know that Joe hit the target 4 times.
