Answer:
for X
Step-by-step explanation:
I dont really know sorry
<h3>
Answer: 10 cm (choice A)</h3>
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Explanation:
One equation we could solve is
x/2.5 = 30/7.5
Note the x/2.5 has us dividing the vertical sides, while 30/7.5 is the same idea for the horizontal sides. The order is large over small. You could do small over large, but make sure you keep both sides consistent.
Solving for x leads to...
x/2.5 = 30/7.5
x*7.5 = 2.5*30
7.5x = 75
x = 75/7.5
x = 10 (choice A)
There are many other possible equations that lead to the same answer. One other possible equation is x/30 = 2.5/7.5
These proportions are possible due to the fact we have similar triangles.
1 and 1/15
Work backwards, so add 7/18 to 1 5/6 first (I'm gonna add them in improper fraction form to make it easier) and you get 40/18 which is 20/9
Then multiply by 1 1/5 (or 6/5) to get 120/45 which simplifies to 8/3
Then divide by 2 1/2, or 5/2, which means you multiply by the reciprocal (2/5)
8/3 times 2/5 equals 16/15 or 1 1/15
Answer:
48 cm²
Step-by-step explanation:
The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.
The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).
1. Convert the height to centimetres

2. Calculate the perimeter
p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm
3. Calculate the lateral area
L = ph = 16 cm × 3 cm = 48 cm²
The lateral area of the prism is 48 cm².
Answer:
2,400
Step-by-step explanation:
20 x 10 x 12 = 2,400