Answer:
Option A is correct
3.33 ft wide should the metal piece be.
Step-by-step explanation:
Area of rectangle(A) is given by:
.....[1]
l is the length and w is the width of the rectangle respectively.
As per the statement:
One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²
⇒A = 30 ft²
It is also given that the length is 1 less than 3 times the width
⇒
ft
Substitute the given values in [1] we have;
Using distributive property: 
then;
We can write this as:
Factorize this equation:
Split the middle term we have;
⇒
⇒
By zero product property we have;
and w+3 = 0
Since, w cannot be negative;
so,
ft
Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.
Answer: 64.39 dollars
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Explanation:
Before the discount, he would spend 59.99+32 = 91.99 dollars. This is before sales tax is added.
However, he gets 30% off, so he saves 0.30*91.99 = 27.597 = 27.60 dollars.
Meaning that he actually spends 91.99 - 27.60 = 64.39 dollars
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As a shortcut, we can multiply 91.99 by 0.70 to get 64.393 which rounds to 64.39
The 0.70 is due to the fact that if he saves 30%, then he still has to pay the remaining 70%
Keep in mind that sales tax would need to be added on; however, your teacher doesn't mention the sales tax rate.
Answer:
6/18 x 4/6
Step-by-step explanation:
Step-by-step explanation:
we know,
sum of all angles on a straight line is 180°.
so according to it,
x + 2x + 3x = 180
6x = 180
x = 180/6 = 30
x = 30°
therefore, value of x is 30°.
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