Hi there! :)
<u>Answer:</u>
The area of the carpet is <u>3m²</u>.
Step-by-step explanation:
First off, the formula to calculate the area of a rectangle is this: A = L × W
Where "A" is the area, "L" the length and "W" the width.
Now that you have that, replace all the information you know in the equation in order to find the value of "A", which is what we are looking for:
- Just keep in mind that 1 1/2 is the same thing as 1.5
- The term "wide" is used to give the "width"
- The term "long" is used to give the "length"
A = L × W
A = 2 × 1.5
<u>A = 3</u>
There you go! I really hope this helped, if there's anything just let me know! :)
According to me the probability is 1/4, because there are 4 possible outcomes when two coins are flipped - TT, TH, HT, HH.
<span>Also, would it matter if the coins are flipped one after other rather than together</span>
Answer:
false
Step-by-step explanation:
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.
h'(t) = -32t + 16
When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.
-32t + 16 = 0
-32t = -16
t = 0.5 seconds
b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.
h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet
If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.
c.) We know that the horse is in the air whenever h(t) is greater than 0.
-16t^2 + 16t = 0
-16t(t-1)=0
t = 0 and 1
So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.