As the amount is $100 dollars, you will have to find what 35% of this is. The best way to do this is to divide both 100 and 35 by ten, giving you ten and 3.5. AS 10 is 10% of 100, you should then multiply then, by three and half, therefore, giving you 35- meaning the discount is $35 dollars. Hope this helps
Both sides were multiplied by 3 to get Step 1, so the property is the Multiplication Property of Equality. Choice D.
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
<h3>What is the
Area of a Trapezoid?</h3>
Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
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Answer:
A. A reflection over the x-axis and a vertical stretch.
Step-by-step explanation:
Let
, to obtain
, we need to use the following two operations:
(i) Vertical stretch
, 
(ii) Reflection over the x-axis

Let prove both transformations in
:
Step 1 - Vertical stretch (
)

Step 2 - Reflection over the x-axis

Hence, correct answer is A.
Answer:
sin© = 3/5
Cos© = 4/5
Tan© = 3/4
Explanation:
The opposite (opp) side of the right angle triangle is the side facing the angle ©
The hypothenus (hyp) side is the longest side,
The adjacent (adj) side is the third side.
sin© = opp/hyp
Cos© = adj/hyp
Tan© = opp/adj