Answer:
-1 5/8
Step-by-step explanation:
Let the total amount in the bowl be x;
If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;
x - 7/8
If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;
= x - 7/8 - 3/4
= x - (7-2(3))/8
= x - (7+6)/8
= x - 13/8
This shows that the total change after the two days is -13/8
As a mixed fraction;
-13/8 = -1 5/8
Answer:
b. not similar
Step-by-step explanation:
The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.
____
* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.
However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.
The maximum number of roots to a polynomial of order n is n roots. Take the example of a quadratic (order 2) which can intersect the x-axis a maximum of 2 times, and similarly a cubic (order 3) 3 times maximum.
Hence for 8 intersections, minimum order = 8
Answer:
x = 10
Step-by-step explanation:
3x - 5 = 2x + 5
Both triangles equal 25
Subtract 2x → You get left with x
x -5 = 5
Add five... which leaves you with↓
x = 10
Then substitute x for 10
(3 · 10) - 5
25
(2 · 10) + 5
25
You know this is true because they equal each other.
I hope this could help!!
