,\left[x \right] = \left[ \frac{-2}{3}+\frac{\left( -4\right) \,y}{3}+\frac{z}{3}\right][x]=[3−2+3(−4)y+3z]
\left[X \right] = \left[ 5+6\,y - 2\,z\right][X]=[5+6y−2z]
\left[x \right] = \left[ 2+\frac{3\,y}{2}+\frac{ - z}{2}\right][x]=[2+23y+2−z]
system by elimination
A half because 8 can go into 16 2 times without leaving a remainder.
Answer:
<h3>See below</h3>
Step-by-step explanation:
to figure out the ratios we must figure out the length of <u>hypotenuse</u> first to do so we can consider <u>Pythagoras</u><u> theorem</u> given by
substitute:
simplify squares:
simplify square root:
now recall that,
the ratios with respect to angle w given by
the following ratio with respect to angle X
100/10=10
Michelle used 10 dimes because a dime is worth 10 cents, a dollar is 100 cents, 10 dimes is equal to 100 cents.
Answer:
Adjacent, b = 5.3 units
Step-by-step explanation:
Let the length of sides of the triangle be;
- Opposite side = a
- Adjacent side = b
- Hypotenuse side = c
From the right-angle triangle, we can deduce the following data;
Hypotenuse, c = 8
Opposite, a = 6
To find the length of the adjacent (third) side, we would have to apply Pythagorean' theorem.
From Pythagorean theorem;
c² = a² + b²
Substituting into the formula, we have;
8² = 6² + b²
64 = 36 + b²
Rearranging the equation (collecting like terms), we have;
b² = 64 - 36
b² = 28
Taking the square root of both sides, we have;
b = √28
<em>Adjacent, b = 5.3 units</em>
