180-132=48
1 is 48
2 is 132
3 is 48
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<span><span><span><span><span>−12</span><span>a3</span></span><span>b2</span></span>c</span><span><span><span><span>-12</span><span>a3</span></span><span>b2</span></span>c</span></span> out of <span><span><span><span><span><span>−24</span><span>a3</span></span><span>b3</span></span><span>c3</span></span><span><span><span><span>−84</span><span>a4</span></span><span>b2</span></span>c</span></span><span><span><span><span><span>-24</span><span>a3</span></span><span>b3</span></span><span>c3</span></span><span><span><span><span>-84</span><span>a4</span></span><span>b2</span></span>c</span></span></span>.
<span><span><span><span><span><span>−12</span><span>a3</span></span><span>b2</span></span>c</span><span>(<span><span><span>2b</span><span>c2</span></span>+<span>7a</span></span>)</span></span><span><span><span><span><span>-12</span><span>a3</span></span><span>b2</span></span>c</span><span><span><span>2b</span><span>c2</span></span>+<span>7a</span></span></span></span>
If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.
<h3>What is a rectangular prism?</h3>
A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.
Its width is 3 and 1/2 in and its height is 77 in.
Then the width of the prism will be
Then the length of the popcorn box in inches will be
More about the rectangular prism link is given below.
brainly.com/question/12649592
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To convert a quadratic<span> from y = ax</span>2<span> + bx + c form to </span>vertex<span> form, y = a(x - h)</span>2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2<span>- 4x + 5 into </span>vertex<span> form, and state the </span>vertex<span>.</span>
Answer:
45.7 meters.
Step-by-step explanation:
Please see the attachment.
Let h be the height of the tower.
We have been given that tower of a tower crane casts a shadow (on level ground) of 32 m when the sun is 55° above the horizon.
We can see from our attachment that height of the tower will be opposite side to 55 degree angle and shadow of the tower is adjacent side to angle.
Since tangent relates the opposite and adjacent sides of a right triangle, so we will use tangent to find the height of the tower.
Upon substituting our given values we will get,
Therefore, height of the tower is 45.7 meters.