if a 25 ft rope is cut into two sections with one section four times as long as the other section, how long is the shorter piece
2 answers:
Total length of rope = 25 feet
Let us say one part of the rope is x, then the other part will be 25-x.
We are given that one section of the rope is four times as long as the other.
So let us make an equation using this information,
x=20
So one part is 20 feet and the second part is 25-20= 5 feet.
Answer: The shorter part of the rope is 5 feet long.
You might be interested in
ANSWER
See attachment.
EXPLANATION
The given inequality is
Divide both sides by 3 to get,
Because the inequality involves '<' we use a hollow circle at 2⅔.
The solution set of this inequality is shown on the number line in the attachment.
See attachment.
EXPLANATION
The given inequality is
Divide both sides by 3 to get,
Because the inequality involves '<' we use a hollow circle at 2⅔.
The solution set of this inequality is shown on the number line in the attachment.
Answer:
The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
Step-by-step explanation:
Let us consider the image attached.
Center of circle be O.
Arc AB subtends the angle on the circle and
on the center of the circle.
To prove:
Proof:
In : AO and PO are radius of the circles so AO = PO
And angles opposite to equal sides of a triangle are also equal in a triangle.
So,
Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.
Similarly,
In : BO and PO are radius of the circles so BO = PO
And angles opposite to equal sides of a triangle are also equal in a triangle.
So,
Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.
Now, we can see that:
Using equations (1) and (2):
Hence, proved.
