Answer:
The length of the missing side x = 47.57 in
Step-by-step explanation:
Given
Ф = 28°
The length of the side adjacent to the angle Ф is = 42 in
To determine
The hypotenuse x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
substitute adjacent = 42 in, hypotenuse = x and Ф = 28°
cos 28° = 42 / x
x = 42 / cos 28°
x = 47.57 in
Therefore, the length of the missing side x = 47.57 in
<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
To get the answer. you have to find the unit rate.
To find the unit rate, divide 2.50 by 5 which is 0.5 or 50 cents.
(You can check to see if you did this right by multiplying, so .5x5=2.5)
Then you multiply .5 by 7 which is 3.5, or $3.50.
Answer: They collected 13,204 cans more than needed.
Answer:
13) 7 + x/2 = 10
14) 2x - 5 = 7
15) 4x - 1 = 11
16) 6x - 6 = 12
17) x/3 + 10 = 12
18) 2x + 7 = 1
19) 9 + x/7 = 11
20) 8(n - 3)
Step-by-step explanation:
The quotient of x and 2 = x ÷ 2 = x/2
The product is the result of multiplying two or more other numbers
The sum is the result of adding two or more numbers
The difference is the result of subtracting one number from another
13) 7 + x/2 = 10
14) 2x - 5 = 7
15) 4x - 1 = 11
16) 6x - 6 = 12
17) x/3 + 10 = 12
18) 2x + 7 = 1
19) 9 + x/7 = 11
20) 8(n - 3)
