A wire of length 12½m is cut into 10 pieces of equal length. Find the length of each piece
2 answers:
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The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have . Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w.
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!
Answer:
The hourly pay for the lifeguards in 2001 was of $6.31.
Step-by-step explanation:
The hourly pay, in dollars, in t years after 1995, is given by the following equation:
What was the hourly pay for the lifeguards in 2,001?
2001 is 2001 - 1995 = 6 years after 1995. So this is P(6).
The hourly pay for the lifeguards in 2001 was of $6.31.
The length of is given by the relationship between the similar triangles
ΔABD and ΔBDC.
= <u>80</u>
Reasons:
The given parameters are;
The altitude of triangle ΔABD =
The hypotenuse of formed right triangle =
The length of AD = 8
Length of BD = 24
Whereby ΔABD is a right triangle
We have;
ΔABD is similar to ΔBDC
Therefore, by similar triangle proportional sides relationship, we have;
Which gives;
=
Therefore;
Which gives;
Learn more about similar triangles here:
