Answer:
6.83 units
Step-by-step explanation:
Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...
(height ratio)^2 = 1/2
((h -2)/h)^2 = 1/2
(h -2)√2 = h . . . . . . square root; multiply by h√2
h(√2 -1) = 2√2 . . . . add 2√2 -h
h = (2√2)/(√2 -1) ≈ 6.8284 . . . units
The altitude of the original pyramid is about 6.83 units.
Answer:
186 cm²
Step-by-step explanation:
<em>*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.</em>
<em>*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.</em>
<u>Left rectangle:</u>
A = lh
A = 12 (8)
A = 96 cm²
<u>Right rectangle:</u>
A = lh
A = 10 (9)
A = 90 cm²
<u>Total:</u>
A = 90 + 96
A = 186 cm²
The apple juice has 27 grams per serving and the sprite has 26 grams per serving. So the apple juice has more. You just divide the total amount by the number of servings.
Answer:
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A paragraph proof is a two-column proof in sentence form.
Step-by-step explanation:
- In a paragraph proof, statements and their justifications are written in sentences in a logical order.
- A two-column proof consists of a list statements and the reasons the statements are true.
- A paragraph proof is a two-column proof in sentence form.
A paragraph proof is only a two-column proof written in sentences. However, since it is easier to leave steps out when writing a paragraph proof.
A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column
