Best Answer:
<span>
to multiply fractions you simply take the denominator of both fractions
and multiply them, do the same to the numerator, and you have your
answer.
ex.
2 5 10
-- * -- = ----
4 8 32
then, of course, you would need to simplify.
so the answer is
10(/2) 5
-------- = -----
32(/2) 16
To multiply mixed numbers, you need to convert them to improper
fractions, multiply and then convert them back to a mixed number. For
example:
2 1/2 x 5 1/3 = 5/2 x 16 /3
numerator 5 x 16 = 80 denominator 2 x 3 = 6
so now you convert 80/6 into a mixed number
80 / 6 = 13 and 2/6 or, reduced, 13 1/3. </span>
Answer:
The perimeter (to the nearest integer) is 9.
Step-by-step explanation:
The upper half of this figure is a triangle with height 3 and base 6. If we divide this vertically we get two congruent triangles of height 3 and base 3. Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles: (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.
Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.
The lower half of the figure has the shape of a trapezoid. Its base is 4. Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle. Using the Pythagorean Theorem, we get
(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10. Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.
Then the perimeter consists of the sum 2√10 + 4 + 6√2.
which, when done on a calculator, comes to 9.48. We must round this off to the nearest whole number, obtaining the final result 9.
Answer:
y=3
Step-by-step explanation:
(i used point-slope form which is (y1-y2)=m(x1-x2))
(10-y)=7(4-3)
10-y=7
-y=-3
y=3
