Is there meant to be an image?
<span>This is quite challenging, but here’s the solution:
</span>
y = x^2 - 10x + 25 - 25
<span> y = (x-5)^2 - 25</span>
<span> y + 25 = (x-5)^2</span>
<span> x - 5 = ±sqrt(y+25)</span>
<span> You will derive TWO inverses:</span>
<span> x = 5 + sqrt(y+25),</span> for x ≥ 5
<span> x = 5 - sqrt(y+25),</span> for x ≤ 5
<span>0.002 1/10 of what
=> (1/10)a = 0.002
=> Multiply both sides by 10 to solve for the unknown number, since we need the value whose one-tenth is 0.002.
=> 10 x (1/10)a = 10 x 0.002
=> a = 0.02
Therefore, 0.002 is one-tenth of 0.02.
To verify, divide 0.02 by 10.
=> 0.02 / 10
=> 0.002
Hence, the solution is confirmed.
</span>
B refers to the base of the triangle,
and a signifies the length of the two identical sides.
The measurement labeled as 'a' is larger than 'b' since those equal sides are longer than the base. Given "one of the longer sides measures 6.3 cm," we assign a = 6.3.
Substitute 6.3 for each 'a' in the equation and solve for b:
2a + b = 15.7
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6 (applying subtraction property of equality)
b = 3.1
Result:
20.19°
Detailed explanation:
Refer to the attached diagram related to the question. We need to determine <CAB
Utilizing the sine rule on triangle ABC:
cross-multiply
Thus, the angle <CAB measures 20.19°
