Answer:
6s⁹t³
Step-by-step explanation:
6s⁵t ₓ s⁴t² =
= 6ₓs⁵⁺⁴t¹⁺²
= 6s⁹t³
Answer:
$16,500
Step-by-step explanation:
The computation of the amount that should be paid for the car is shown below:
Since the car would be purchased one year ago
And, the value of the car would be decreased by 15% to $14025
So the amount that should be paid is
= $14025 × 100 ÷ (100 - 0.15)
= $16,500
∠QRS and ∠CDE are congruent.
∠RST and ∠DEB are congruent.
∠STQ and ∠EBC are congruent.
∠TQR and ∠BCD are congruent.
You can conclude the above angles are congruent because ∠R and ∠D has the same sign on their angle and so does ∠S and ∠E.
Part (a)
The radius is r = 42 because OA = 42.
The circumference, aka distance around the circle, is
C = 2*pi*r
C = 2*(22/7)*42
C = 264
We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.
So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150
<h3>
Answer: 150 degrees</h3>
==============================================================
Part (b)
Compute the area of the full circle
A = pi*r^2
A = (22/7)*(42)^2
A = 5544
Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)
(5/12)*(5544) = 2310
<h3>Answer: 2310 square mm</h3>
==============================================================
Side note: Both answers are approximate because pi = 22/7 is approximate.
