Answer:
There are of felt left over.
Step-by-step explanation:
The side of the felt square is 8 cm. A circle of radius 3 cm is cut from the square piece of felt.
The portion of felt leftover is the difference between the area of the square and the area of the circle.
The area of the square is:
The area of the circle is:
The remaining area of the piece of felt is:
There are of felt left over.
Step-by-step explanation:
x = how many games won last year
x - 1 = how many games won each year
Answer:
4.41 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.
We will use Pythagoras theorem to solve for the length of side x as:
Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.
Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:
We have been given that , and .
Therefore, the man must let out the string at a rate of 4.41 feet per second.
Answer:
A
Step-by-step explanation:
So, we are given a right triangle and we know that 2x+4 is the length of the hypotenuse and 8 is the length of one of the sides.
Remember that the hypotenuse in a right triangle will always <em>always</em> be the longest side. Therefore, we can write the following inequality:
The answer is A.
Answer:
y = 5 - 3x
Step-by-step explanation:
slope intercept form - y = mx + b
y = 5
slope/m = -3
y = 5 - 3x