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:
12
Step-by-step explanation:
180 ÷ 15 = 12
15 can go into 180 , 12 times
15 x 12 = 180
If the denominator does not equal 0, the equivalent expression of
is 

<h3>How to determine the equivalent expression?</h3>
The expression is given as:

Divide 14 by 7

Apply the law of indices

Evaluate the differences in the exponents

Hence, the equivalent expression of
is 
Read more about equivalent expressions at:
brainly.com/question/2972832
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Answer:
C = 24.5 in
Step-by-step explanation:
Formula to find the circumference of a circle is :
C = 2πr
Here,
r ⇒ radius
So let us solve now.
C = 2πr
C = 2 × π × r
C = 2 × 3.14 × 3.9
C = 24.492 in
So, they've asked for nearest 10th.
Therefore, the answer will be 24.5 in.
Hope this helps you :-)
Let me know if you have any other questions :-)
The first step of simplifying the expression would be summing up the "i"s. They are separate ("+i" and "+5i") but you can still sum them up though they are apart. This is thanks to the commutative property of addition which allows summing the terms of an expression with several additions in whatever order it is prefered. Commutative means that the terms can be interchangeable.