Answer:
Only 5 will be required
Step-by-step explanation:
Take a look at the image attached to see the necessary explanations
Answer:
5 large pieces of fabric.
Step-by-step explanation:
Length of each side of a square piece of fabric = yard
Area of a Square = Length X Length
Area of one square piece of fabric = X
=
square yard.
To make one scarf, Doris uses 6 square pieces.
Area of one scarf = square yard
Each large pieces of fabric is one-third yard long and 2 yards wide.
This is clearly a rectangle,
Area of a Rectangle = Length X Width
Area of each large piece of fabric= square yard.
Since the Area of one scarf is equal to the area of each large piece of fabric, in order to make 5 scarves, Doris would need 5 large pieces of fabric.
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is:
Answer:
The critical value for the 95% confidence interval is z = 1.96.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of
So it is z with a pvalue of , so z = 1.96.
The critical value for the 95% confidence interval is z = 1.96.
Answer:
Step-by-step explanation:
Since the country wants to reduce the emission by the percentage each year, the function will be decaying function. The formula of decaying function will look like this
Where
E(t) = the number of emission after t years
E0= the number of initial emission= 40 million tons
r=rate of growth/decay = 35%= 0.35
t= time in years
If we put the number, the equation will be: