<h3>
Answer: 320 square meters</h3>
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Explanation:
The scale factor 4 means the dimensions of the second rectangle are 4 times larger.
The width of 4 meters bumps up to 4*4 = 16 meters.
The length of 5 meters becomes 4*5 = 20 meters.
So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.
The area of the second rectangle is therefore 16*20 = 320 square meters.
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As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.
The 4^2 = 16 multiplier is the result of squaring the scale factor.
So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.
I believe it's 70, since they are consecutive interior angles (they add up to 180)
Answer:
x = 9
Step-by-step explanation:
Perimeter = 2 * width + 2 * length
= 2*11 + 2(x + 5) = 50
2x + 10 + 22 = 50
2x = 50 - 10 - 22
2x = 18
x = 9
<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>
