0.738×0.28 is 0.20664 but is rounded to 0.21. which rule or rules are applied to this calculation? select all that apply.
1 answer:
The rules of the calculation are:
- Round the result to the same number of significant figures as the value with the least number of significant figures
- Round up if the digit to be dropped is 5 or greater.
The complete question is added as an attachment
The equation is given as:
0.738 × 0.28 = 0.20664
When approximated, we have:
0.738 × 0.28 ≈ 0.21
The above approximation can mean any of the following:
- To 2 decimal places
- To the nearest hundredth
- To 2 significant digits
Read more about approximation at:
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Answer:
Step-by-step explanation:
The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.
Vertices A, B, and C form a right triangle with legs ,
, and
. The two legs, 3 and 4, represent the triangle's height and base, respectively.
The area of a triangle with base and height
is given by
. Therefore, the area of this right triangle is:
The other triangle is a bit trickier. Triangle is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:
, where
,
, and
are three sides of the triangle and
is the semi-perimeter (
).
The semi-perimeter, , is:
Therefore, the area of the isosceles triangle is:
Thus, the area of the quadrilateral is:
<h2>Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:
First pair of opposite sides:
<u>Slope:</u>
Second pair of opposite sides:
<u>Slope:</u>
So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:
So the diagonals measure the same, therefore this is a rectangle.
X = the age of Mr. Gilliam
His wife is 3 years older, so the age of Mr. Gilliam's wife = x+3
The sum of their ages is 95.
Mr. Gilliam is 46 years old.
His wife is 3 years older, so the age of Mr. Gilliam's wife = x+3
The sum of their ages is 95.
Mr. Gilliam is 46 years old.