Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Since 0.68 is closest to 1, so the answer is
<span>A) 0.68</span>
As you can see in the screenshot, once you plot the points for each rectangle, it becomes easier to see what's happening. In the first transformation, the rectangle is translated or slid. In the next 2 transformations, the rectangle is rotated. In the last transformation, the rectangle is dilated or shrunk. The first rectangle is the only translation.
Answer:
x> y-300/12
Step-by-step explanation
1. Subtract 300 from both sides
2. Divide both sides by -12
3. Switch the sides
To find the unit rate you do
$1.39/8 oz.=.17
Then, you multiply the unit rate by the ounces
.17 * 14 oz. = $2.43
