Hello there i hope you are having a great day :) Your question : (5x3 + 3x2 - 5x + 4) Answer : 5x^3 + 3x^2 - 5x +4
Hopefully that helps ya ❤
To answer this item, we let x be the number of counters that Max has. By the representation, the number of counters that Jack has is 3x.
a. Ratio of counters,
3x:x
which can be simplified by dividing by x both sides of the ratio giving us the answer of,
3:1
b. Fraction of counters Max have,
fraction = x / (x + 3x) = 1/4
We use trigonometry because we know an angle and a side length. We are looking for one of the sides that isn't the hypotenuse:
As illustrated by the picture I made below:
We know both unknown angles will be 45 degrees, as there are 180 degrees in a triangle, we know the triangle is a right angle triangle (has 90 degrees) so, (180-90)/2 = 45
Using
SOH CAH TOA, short for : SIN- OH COS- AH TAN- OA
We are looking for the one with H, as we know what H is.
I am picking "
SIN- OH", but we could use "
COS- AH"
The formula for this is:
Sin(angle) = O/H
<u /><u>We substitute the angle (45) and the length for H (16)
</u>
Sin(45)= O/16
<- rearrange it
Sin(45)*16= O
<- Solve in the calculator
13.6145 (4 DP)= O
The legs = O
The legs have a length of "13.6145 (4 DP)" each
0.00373134328
I think you can round that but I think that's the answer.